Review Springer nature switzerland ag mathematical logic

Springer Nature Switzerland AG Mathematical Logic 50.59 GBP This textbook introduces first-order logic and its role in the foundations of mathematics by examining fundamental questions.What is a mathematical proof? How can mathematical proofs be justified? Are there limitations to provability? To what extent can machines carry out mathematical proofs?In answering these questions, this textbook explores the capabilities and limitations of algorithms and proof methods in mathematics and computer science. The chapters are carefully organized, featuring complete proofs and numerous examples throughout.Beginning with motivating examples, the book goes on to present the syntax and semantics of first-order logic.After providing a sequent calculus for this logic, a Henkin-type proof of the completeness theorem is given.These introductory chapters prepare the reader for the advanced topics that follow, such as Gödel's Incompleteness Theorems, Trakhtenbrot's undecidability theorem, Lindström's theorems on the maximality of first-order logic, and results linking logic with automata theory.This new edition features many modernizations, as well as two additional important results: The decidability of Presburger arithmetic, and the decidability of the weak monadic theory of the successor function. Mathematical Logic is ideal for students beginning their studies in logic and the foundations of mathematics.Although the primary audience for this textbook will be graduate students or advanced undergraduates in mathematics or computer science, in fact the book has few formal prerequisites.It demands of the reader only mathematical maturity and experience with basic abstract structures, such as those encountered in discrete mathematics or algebra.

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Springer Nature Switzerland AG Mathematical Modelling For Teachers : A Practical Guide To Applicable Mathematics Education 59.79 GBP While there are many areas of focus in mathematics education, there are many good reasons for offering applicable mathematics education in schools.Let us just mention two of the most important reasons.On the one hand, a focus on the practical side of mathematics presents a convincing and motivating answer to the typical student question: ‘Why study mathematics?’ On the other hand, education policy seems inclined to move in this direction by implementing international testing, curricula and catalogues of skills. The most important feature of this book is that the authors speak directly to you, the mathematics teachers.The authors attempt to draw you into a continuous dialogue about activities you are asked to engage in as learners.You are asked to do something, and through doing and reflecting you will gain first-hand experience of new approaches and materials.In this way, you can learn to teach applicable mathematics to your students using your own experience as learners of applicable mathematics, motivated and supported by the book. Here applicable mathematics education is the phrase we use to describe reality-based mathematics education.Reality-based mathematics relies heavily on problem solving and a positive disposition to engage with mathematics.Modelling reality and simulating selected aspects of reality are other pillars of reality-based mathematics education.

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Springer Nature Switzerland AG Mathematical Foundations For Data Analysis 45.99 GBP This textbook, suitable for an early undergraduate up to a graduate course, provides an overview of many basic principles and techniques needed for modern data analysis.In particular, this book was designed and written as preparation for students planning to take rigorous Machine Learning and Data Mining courses.It introduces key conceptual tools necessary for data analysis, including concentration of measure and PAC bounds, cross validation, gradient descent, and principal component analysis.It also surveys basic techniques in supervised (regression and classification) and unsupervised learning (dimensionality reduction and clustering) through an accessible, simplified presentation.Students are recommended to have some background in calculus, probability, and linear algebra. Some familiarity with programming and algorithms is useful to understand advanced topics on computational techniques.

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Springer Nature Switzerland AG The Mathematical Universe : From Pythagoras To Planck 36.79 GBP I first had a quick look, then I started reading it.I couldn't stop. -Gerard 't Hooft (Nobel Prize, in Physics 1999)This is a book about the mathematical nature of our Universe.Armed with no more than basic high school mathematics, Dr. Joel L. Schiff takes you on a foray through some of the most intriguing aspects of the world around us.Along the way, you will visit the bizarre world of subatomic particles, honey bees and ants, galaxies, black holes, infinity, and more.Included are such goodies as measuring the speed of light with your microwave oven, determining the size of the Earth with a stick in the ground and the age of the Solar System from meteorites, understanding how the Theory of Relativity makes your everyday GPS system possible, and so much more.These topics are easily accessible to anyone who has ever brushed up against the Pythagorean Theorem and the symbol p, with the lightest dusting of algebra.Through this book, science-curious readers will come to appreciate the patterns, seeming contradictions, and extraordinary mathematical beauty of our Universe.

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Springer Nature Switzerland AG Mathematical Foundations Of Advanced Informatics : Volume 1: Inductive Approaches 25.75 GBP The books in this trilogy capture the foundational core of advanced informatics.The authors make the foundations accessible, enabling students to become effective problem solvers. This first volume establishes the inductive approach as a fundamental principle for system and domain analysis.After a brief introduction to the elementary mathematical structures, such as sets, propositional logic, relations, and functions, the authors focus on the separation between syntax (representation) and semantics (meaning), and on the advantages of the consistent and persistent use of inductive definitions.They identify compositionality as a feature that not only acts as a foundation for algebraic proofs but also as a key for more general scalability of modeling and analysis.A core principle throughout is invariance, which the authors consider a key for the mastery of change, whether in the form of extensions, transformations, or abstractions. This textbook is suitable for undergraduate and graduate courses in computer science and for self-study.Most chapters contain exercises and the content has been class-tested over many years in various universities.

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Springer Nature Switzerland AG Mathematical Methods In Continuum Mechanics Of Solids 68.99 GBP This book primarily focuses on rigorous mathematical formulation and treatment of static problems arising in continuum mechanics of solids at large or small strains, as well as their various evolutionary variants, including thermodynamics.As such, the theory of boundary- or initial-boundary-value problems for linear or quasilinear elliptic, parabolic or hyperbolic partial differential equations is the main underlying mathematical tool, along with the calculus of variations.Modern concepts of these disciplines as weak solutions, polyconvexity, quasiconvexity, nonsimple materials, materials with various rheologies or with internal variables are exploited. This book is accompanied by exercises with solutions, and appendices briefly presenting the basic mathematical concepts and results needed.It serves as an advanced resource and introductory scientific monograph for undergraduate or PhD students in programs such as mathematical modeling, applied mathematics, computational continuum physics and engineering, as well as for professionals working in these fields.

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Springer Nature Switzerland AG Deep Learning Architectures : A Mathematical Approach 73.59 GBP This book describes how neural networks operate from the mathematical point of view.As a result, neural networks can be interpreted both as function universal approximators and information processors.The book bridges the gap between ideas and concepts of neural networks, which are used nowadays at an intuitive level, and the precise modern mathematical language, presenting the best practices of the former and enjoying the robustness and elegance of the latter. This book can be used in a graduate course in deep learning, with the first few parts being accessible to senior undergraduates. In addition, the book will be of wide interest to machine learning researchers who are interested in a theoretical understanding of the subject.

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Springer Nature Switzerland AG Mathematical Foundations Of System Safety Engineering : A Road Map For The Future 45.99 GBP This graduate-level textbook elucidates low-risk and fail-safe systems in mathematical detail. It addresses, in particular, problems where mission-critical performance is paramount, such as in aircraft, missiles, nuclear reactors and weapons, submarines, and many other types of systems where “failure” can result in overwhelming loss of life and property.The book is divided into four parts: Fundamentals, Electronics, Software, and Dangerous Goods.The first part on Fundamentals addresses general concepts of system safety engineering that are applicable to any type of system. The second part, Electronics, addresses the detection and correction of electronic hazards. In particular, the Bent Pin Problem, Sneak Circuit Problem, and related electrical problems are discussed with mathematical precision. The third part on Software addresses predicting software failure rates as well as detecting and correcting deep software logical flaws (called defects). Thefourth part on Dangerous Goods presents solutions to three typical industrial chemical problems faced by the system safety engineer during the design, storage, and disposal phases of a dangerous goods’ life cycle.

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Springer Nature Switzerland AG A Mathematical Introduction To Data Science 41.39 GBP This textbook provides a comprehensive foundation in the mathematics needed for data science for students and self-learners with a basic mathematical background who are interested in the principles behind computational algorithms in data science.It covers sets, functions, linear algebra, and calculus, and delves deeply into probability and statistics, which are key areas for understanding the algorithms driving modern data science applications.Readers are guided toward unlocking the secrets of algorithms like Principal Component Analysis, Singular Value Decomposition, Linear Regression in two and more dimensions, Simple Neural Networks, Maximum Likelihood Estimation, Logistic Regression and Ridge Regression, illuminating the path from mathematical principles to algorithmic mastery. It is designed to make the material accessible and engaging, guiding readers through a step-by-step progression from basic mathematical concepts to complex data science algorithms.It stands out for its emphasis on worked examples and exercises that encourage active participation, making it particularly beneficial for those with limited mathematical backgrounds but a strong desire to learn.This approach facilitates a smoother transition into more advanced topics. The authors expect readers to be proficient in handling numbers in various formats, including fractions, decimals, percentages, and surds.They should also have a knowledge of introductory algebra, such as manipulating simple algebraic expressions, solving simple equations, and graphing elementary functions, along with a basic understanding of geometry including angles, trigonometry and Pythagoras’ theorem.

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Springer Nature Switzerland AG Algorithms For A World : When Big Data And Mathematical Models Meet 22.38 GBP Covid-19 has shown us the importance of mathematical and statistical models to interpret reality, provide forecasts, and explore future scenarios. Algorithms, artificial neural networks, and machine learning help us discover the opportunities and pitfalls of a world governed by mathematics and artificial intelligence.

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Springer Nature Switzerland AG Facility Layout : Mathematical Optimization Techniques And Engineering Applications 50.59 GBP This book presents a structured approach to develop mathematical optimization formulations for several variants of facility layout.The range of layout problems covered includes row layouts, floor layouts, multi-floor layouts, and dynamic layouts.The optimization techniques used to formulate the problems are primarily mixed-integer linear programming, second-order conic programming, and semidefinite programming.The book also covers important practical considerations for solving the formulations.The breadth of approaches presented help the reader to learn how to formulate a variety of problems using mathematical optimization techniques.The book also illustrates the use of layout formulations in selected engineering applications, including manufacturing, building design, automotive, and hospital layout.

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Springer Nature Switzerland AG An Invitation To Mathematical Physics And Its History 64.39 GBP This state of the art book takes an applications based approach to teaching mathematics to engineering and applied sciences students.The book lays emphasis on associating mathematical concepts with their physical counterparts, training students of engineering in mathematics to help them learn how things work.The book covers the concepts of number systems, algebra equations and calculus through discussions on mathematics and physics, discussing their intertwined history in a chronological order.The book includes examples, homework problems, and exercises. This book can be used to teach a first course in engineering mathematics or as a refresher on basic mathematical physics.Besides serving as core textbook, this book will also appeal to undergraduate students with cross-disciplinary interests as a supplementary text or reader.

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Springer Nature Switzerland AG Mathematical Modeling Of The Human Brain : From Magnetic Resonance Images To Finite Element Simulation 26.98 GBP This open access book bridges common tools in medical imaging and neuroscience with the numerical solution of brain modelling PDEs.The connection between these areas is established through the use of two existing tools, FreeSurfer and FEniCS, and one novel tool, the SVM-Tk, developed for this book.The reader will learn the basics of magnetic resonance imaging and quickly proceed to generating their first FEniCS brain meshes from T1-weighted images.The book's presentation concludes with the reader solving a simplified PDE model of gadobutrol diffusion in the brain that incorporates diffusion tensor images, of various resolution, and complex, multi-domain, variable-resolution FEniCS meshes with detailed markings of anatomical brain regions.After completing this book, the reader will have a solid foundation for performing patient-specific finite element simulations of biomechanical models of the human brain.

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Springer Nature Switzerland AG 100+1 Problems In Advanced Calculus : A Creative Journey Through The Fjords Of Mathematical Analysis For Beginners 50.59 GBP This book convenes a collection of carefully selected problems in mathematical analysis, crafted to achieve maximum synergy between analytic geometry and algebra and favoring mathematical creativity in contrast to mere repetitive techniques.With eight chapters, this work guides the student through the basic principles of the subject, with a level of complexity that requires good use of imagination. In this work, all the fundamental concepts seen in a first-year Calculus course are covered.Problems touch on topics like inequalities, elementary point-set topology, limits of real-valued functions, differentiation, classical theorems of differential calculus (Rolle, Lagrange, Cauchy, and l’Hospital), graphs of functions, and Riemann integrals and antiderivatives.Every chapter starts with a theoretical background, in which relevant definitions and theorems are provided; then, related problems are presented.Formalism is kept at a minimum, and solutions can be found atthe end of each chapter. Instructors and students of Mathematical Analysis, Calculus and Advanced Calculus aimed at first-year undergraduates in Mathematics, Physics and Engineering courses can greatly benefit from this book, which can also serve as a rich supplement to any traditional textbook on these subjects as well.

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Springer Nature Switzerland AG Mathematical Legends : From Thales To Erdos 41.39 GBP This book is not only about the history of mathematics, but also by telling the story of some of the most distinctive personalities in the history of mathematics, it goes on to reveal the various strange treasures, bright flowers and hidden passions of the mathematical kingdom.Some of these mathematicians were thinkers, writers, poets, musicians, painters, politicians, judges, soldiers, clerks, young men of society or even prisoners.The mathematical world constructed by these geniuses is exquisite, and a walk in such a world not only expands our mathematical horizons and imagination, but also raises our humanistic cultivation to a higher level. Written for general audience, this book will be of interest to anyone who's studied mathematics in university or even high school, while also benefiting researchers in mathematics and the humanities.The readers will also enjoy reading the beautiful and simple language of all the articles and interviews.

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Springer Nature Switzerland AG Mathematical Theories Of Machine Learning - Theory And Applications 68.99 GBP This book studies mathematical theories of machine learning.The first part of the book explores the optimality and adaptivity of choosing step sizes of gradient descent for escaping strict saddle points in non-convex optimization problems.In the second part, the authors propose algorithms to find local minima in nonconvex optimization and to obtain global minima in some degree from the Newton Second Law without friction.In the third part, the authors study the problem of subspace clustering with noisy and missing data, which is a problem well-motivated by practical applications data subject to stochastic Gaussian noise and/or incomplete data with uniformly missing entries.In the last part, the authors introduce an novel VAR model with Elastic-Net regularization and its equivalent Bayesian model allowing for both a stable sparsity and a group selection.

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Springer Nature Switzerland AG Mathematical Economics : Prelude To The Neoclassical Model 50.59 GBP This textbook provides a one-semester introduction to mathematical economics for first year graduate and senior undergraduate students.Intended to fill the gap between typical liberal arts curriculum and the rigorous mathematical modeling of graduate study in economics, this text provides a concise introduction to the mathematics needed for core microeconomics, macroeconomics, and econometrics courses.Chapters 1 through 5 builds students’ skills in formal proof, axiomatic treatment of linear algebra, and elementary vector differentiation.Chapters 6 and 7 present the basic tools needed for microeconomic analysis.Chapter 8 provides a quick introduction to (or review of) probability theory.Chapter 9 introduces dynamic modeling, applicable in advanced macroeconomics courses.The materials assume prerequisites in undergraduate calculus and linear algebra.Each chapter includes in-text exercises and a solutions manual, making this text ideal for self-study.

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Springer Nature Switzerland AG Sets, Logic And Maths For Computing 41.39 GBP This easy-to-understand textbook introduces the mathematical language and problem-solving tools essential to anyone wishing to enter the world of computer and information sciences.Specifically designed for the student who is intimidated by mathematics, the book offers a concise treatment in an engaging style. The thoroughly revised third edition features a new chapter on relevance-sensitivity in logical reasoning and many additional explanations on points that students find puzzling, including the rationale for various shorthand ways of speaking and ‘abuses of language’ that are convenient but can give rise to misunderstandings.Solutions are now also provided for all exercises. Topics and features: presents an intuitive approach, emphasizing how finite mathematics supplies a valuable language for thinking about computation; discusses sets and the mathematical objects built with them, such as relations and functions, as well as recursion and induction; introduces core topics of mathematics, including combinatorics and finite probability, along with the structures known as trees; examines propositional and quantificational logic, how to build complex proofs from simple ones, and how to ensure relevance in logic; addresses questions that students find puzzling but may have difficulty articulating, through entertaining conversations between Alice and the Mad Hatter; provides an extensive set of solved exercises throughout the text. This clearly-written textbook offers invaluable guidance to students beginning an undergraduate degree in computer science.The coverage is also suitable for courses on formal methods offered to those studying mathematics, philosophy, linguistics, economics, and political science.Assuming only minimal mathematical background, it is ideal for both the classroom and independent study.

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Springer Nature Switzerland AG Modelling Puzzles In First Order Logic 41.39 GBP Keeping students involved and actively learning is challenging.Instructors in computer science are aware of the cognitive value of modelling puzzles and often use logical puzzles as an efficient pedagogical instrument to engage students and develop problem-solving skills.This unique book is a comprehensive resource that offers teachers and students fun activities to teach and learn logic.It provides new, complete, and running formalisation in Propositional and First Order Logic for over 130 logical puzzles, including Sudoku-like puzzles, zebra-like puzzles, island of truth, lady and tigers, grid puzzles, strange numbers, or self-reference puzzles. Solving puzzles with theorem provers can be an effective cognitive incentive to motivate students to learn logic.They will find a ready-to-use format which illustrates how to model each puzzle, provides running implementations, and explains each solution. This concise and easy-to-follow textbook is a much-needed support tool for students willing to explore beyond the introductory level of learning logic and lecturers looking for examples to heighten student engagement in their computer science courses.

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Springer Nature Switzerland AG Logic Functions And Equations : Fundamentals And Applications Using The Xboole-Monitor 55.19 GBP The greatly expanded and updated 3rd edition of this textbook offers the reader a comprehensive introduction to the concepts of logic functions and equations and their applications across computer science and engineering.The authors’ approach emphasizes a thorough understanding of the fundamental principles as well as numerical and computer-based solution methods.The book provides insight into applications across propositional logic, binary arithmetic, coding, cryptography, complexity, logic design, and artificial intelligence. Updated throughout, some major additions for the 3rd edition include:a new chapter about the concepts contributing to the power of XBOOLE;a new chapter that introduces into the application of the XBOOLE-Monitor XBM 2;many tasks that support the readers in amplifying the learned content at the end of the chapters;solutions of a large subset of these tasks to confirm learning success;challenging tasks that need the power of the XBOOLE software for their solution. The XBOOLE-monitor XBM 2 software is used to solve the exercises; in this way the time-consuming and error-prone manipulation on the bit level is moved to an ordinary PC, more realistic tasks can be solved, and the challenges of thinking about algorithms leads to a higher level of education.

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Springer Nature Switzerland AG Logic Gates, Circuits, Processors, Compilers And Computers 27.59 GBP This undergraduate textbook first introduces basic electronic circuitry before explaining more advanced elements such as the Arithmetic Logic Unit, sequential circuits, and finally microprocessors.In keeping with this integrated and graduated approach, the authors then explain the relationship to first assembly programming, then higher-level languages, and finally computer organisation.Authors use the Raspberry Pi and ARM microprocessors for their explanationsThe material has been extensively class tested at TU Eindhoven by an experienced team of lecturers and researchers.This is a modern, holistic treatment of well-established topics, valuable for undergraduate students of computer science and electronics engineering and for self-study.The authors use the Raspberry Pi and ARM microprocessors for their explanations.

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Springer Nature Switzerland AG Media Logic(S) Revisited : Modelling The Interplay Between Media Institutions, Media Technology And Societal Change 55.19 GBP This volume provides new approaches to the concept of media logics – developed by Altheide and Snow – by drawing on theoretical and empirical perspectives from international scientists working in the field of communications, media, political science, and sociology.In an increasingly digitized and globalized world, powerful media structures and technologies influence our daily lives in many respects.It is not only mass media but ‘poly media channels’ that become more and more contextualized in everyday lives.Therefore, it is necessary to revisit the theory of media logics, which focuses on the strong intercorrelation of media technologies, media institutions and media power.Media Logic(s) Revisited attends to this by critically reflecting on the idea of media logic, a much needed input in light of current developments and strong cultural embedding of media in various social contexts.

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Springer International Publishing AG Martin Davis On Computability, Computational Logic, And Mathematical Foundations 82.79 GBP This book presents a set of historical recollections on the work of Martin Davis and his role in advancing our understanding of the connections between logic, computing, and unsolvability.The individual contributions touch on most of the core aspects of Davis’ work and set it in a contemporary context.They analyse, discuss and develop many of the ideas and concepts that Davis put forward, including such issues as contemporary satisfiability solvers, essential unification, quantum computing and generalisations of Hilbert’s tenth problem.The book starts out with a scientific autobiography by Davis, and ends with his responses to comments included in the contributions.In addition, it includes two previously unpublished original historical papers in which Davis and Putnam investigate the decidable and the undecidable side of Logic, as well as a full bibliography of Davis’ work.As a whole, this book shows how Davis’ scientific work lies at the intersection of computability,theoretical computer science, foundations of mathematics, and philosophy, and draws its unifying vision from his deep involvement in Logic.

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Springer Nature Switzerland AG Structures Meres: Semantics, Mathematics, And Cognitive Science 41.39 GBP This book reports on cutting-edge concepts related to Bourbaki’s notion of structures mères.It merges perspectives from logic, philosophy, linguistics and cognitive science, suggesting how they can be combined with Bourbaki’s mathematical structuralism in order to solve foundational, ontological and epistemological problems using a novel category-theoretic approach.By offering a comprehensive account of Bourbaki’s structuralism and answers to several important questions that have arisen in connection with it, the book provides readers with a unique source of information and inspiration for future research on this topic.

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Springer Nature Switzerland AG Foundations And Methods Of Stochastic Simulation : A First Course 68.99 GBP This graduate-level textbook covers modelling, programming and analysis of stochastic computer simulation experiments, including the mathematical and statistical foundations of simulation and why it works.The book is rigorous and complete, but concise and accessible, providing all necessary background material.Object-oriented programming of simulations is illustrated in Python, while the majority of the book is programming language independent.In addition to covering the foundations of simulation and simulation programming for applications, the text prepares readers to use simulation in their research.A solutions manual for end-of-chapter exercises is available for instructors.

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Springer Nature Switzerland AG Novel Mathematics Inspired By Industrial Challenges 82.79 GBP This contributed volume convenes a rich selection of works with a focus on innovative mathematical methods with applications in real-world, industrial problems.Studies included in this book are all motivated by a relevant industrial challenge, and demonstrate that mathematics for industry can be extremely rewarding, leading to new mathematical methods and sometimes even to entirely new fields within mathematics. The book is organized into two parts: Computational Sciences and Engineering, and Data Analysis and Finance.In every chapter, readers will find a brief description of why such work fits into this volume; an explanation on which industrial challenges have been instrumental for their inspiration; and which methods have been developed as a result.All these contribute to a greater unity of the text, benefiting not only practitioners and professionals seeking information on novel techniques but also graduate students in applied mathematics, engineering, and related fields.

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Springer Nature Switzerland AG Geometric Singular Perturbation Theory Beyond The Standard Form 55.19 GBP This volume provides a comprehensive review of multiple-scale dynamical systems.Mathematical models of such multiple-scale systems are considered singular perturbation problems, and this volume focuses on the geometric approach known as Geometric Singular Perturbation Theory (GSPT). It is the first of its kind that introduces the GSPT in a coordinate-independent manner.This is motivated by specific examples of biochemical reaction networks, electronic circuit and mechanic oscillator models and advection-reaction-diffusion models, all with an inherent non-uniform scale splitting, which identifies these examples as singular perturbation problems beyond the standard form.The contents cover a general framework for this GSPT beyond the standard form including canard theory, concrete applications, and instructive qualitative models.It contains many illustrations and key pointers tothe existing literature.The target audience are senior undergraduates, graduate students and researchers interested in using the GSPT toolbox in nonlinear science, either from a theoretical or an application point of view.Martin Wechselberger is Professor at the School of Mathematics & Statistics, University of Sydney, Australia.He received the J.D. Crawford Prize in 2017 by the Society for Industrial and Applied Mathematics (SIAM) for achievements in the field of dynamical systems with multiple time-scales.

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Springer Nature Switzerland AG Vlsi Physical Design: From Graph Partitioning To Timing Closure 50.59 GBP The complexity of modern chip design requires extensive use of specialized software throughout the process.To achieve the best results, a user of this software needs a high-level understanding of the underlying mathematical models and algorithms.In addition, a developer of such software must have a keen understanding of relevant computer science aspects, including algorithmic performance bottlenecks and how various algorithms operate and interact.This book introduces and compares the fundamental algorithms that are used during the IC physical design phase, wherein a geometric chip layout is produced starting from an abstract circuit design.This updated second edition includes recent advancements in the state-of-the-art of physical design, and builds upon foundational coverage of essential and fundamental techniques.Numerous examples and tasks with solutions increase the clarity of presentation and facilitate deeper understanding.A comprehensive set of slides is available on the Internet for each chapter, simplifying use of the book in instructional settings. “This improved, second edition of the book will continue to serve the EDA and design community well.It is a foundational text and reference for the next generation of professionals who will be called on to continue the advancement of our chip design tools and design the most advanced micro-electronics.” Dr. Leon Stok, Vice President, Electronic Design Automation, IBM Systems Group“This is the book I wish I had when I taught EDA in the past, and the one I’m using from now on.” Dr. Louis K. Scheffer, Howard Hughes Medical Institute“I would happily use this book when teaching Physical Design.I know of no other work that’s as comprehensive and up-to-date, with algorithmic focus and clear pseudocode for the key algorithms.The book is beautifully designed!”Prof. John P. Hayes, University of Michigan“The entire field of electronic design automation owes the authors a great debt for providing a single coherent source on physical design that is clear and tutorial in nature, while providing details on key state-of-the-art topics such as timing closure.”Prof.Kurt Keutzer, University of California, Berkeley“An excellent balance of the basics and more advanced concepts, presented by top experts in the field.” Prof.Sachin Sapatnekar, University of Minnesota

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Springer Nature Switzerland AG Mathematics, Administrative And Economic Activities In Ancient Worlds 101.19 GBP This book focuses on the ancient Near East, early imperial China, South-East Asia, and medieval Europe, shedding light on mathematical knowledge and practices documented by sources relating to the administrative and economic activities of officials, merchants and other actors.It compares these to mathematical texts produced in related school contexts or reflecting the pursuit of mathematics for its own sake to reveal the diversity of mathematical practices in each of these geographical areas of the ancient world.Based on case studies from various periods and political, economic and social contexts, it explores how, in each part of the world discussed, it is possible to identify and describe the different cultures of quantification and computation as well as their points of contact.The thirteen chapters draw on a wide variety of texts from ancient Near East, China, South-East Asia and medieval Europe, which are analyzed by researchers from various fields, including mathematics, history, philology, archaeology and economics.The book will appeal to historians of science, economists and institutional historians of the ancient and medieval world, and also to Assyriologists, Indologists, Sinologists and experts on medieval Europe.

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Springer Nature Switzerland AG Mathematics Of Quantum Computing : An Introduction 64.39 GBP This textbook presents the elementary aspects of quantum computing in a mathematical form.It is intended as core or supplementary reading for physicists, mathematicians, and computer scientists taking a first course on quantum computing.It starts by introducing the basic mathematics required for quantum mechanics, and then goes on to present, in detail, the notions of quantum mechanics, entanglement, quantum gates, and quantum algorithms, of which Shor's factorisation and Grover's search algorithm are discussed extensively.In addition, the algorithms for the Abelian Hidden Subgroup and Discrete Logarithm problems are presented and the latter is used to show how the Bitcoin digital signature may be compromised.It also addresses the problem of error correction as well as giving a detailed exposition of adiabatic quantum computing.The book contains around 140 exercises for the student, covering all of the topics treated, together with an appendix ofsolutions.

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Springer Nature Switzerland AG Introduction To Probabilistic And Statistical Methods With Examples In R 68.99 GBP This book strikes a healthy balance between theory and applications, ensuring that it doesn’t offer a set of tools with no mathematical roots.It is intended as a comprehensive and largely self-contained introduction to probability and statistics for university students from various faculties, with accompanying implementations of some rudimentary statistical techniques in the language R.The content is divided into three basic parts: the first includes elements of probability theory, the second introduces readers to the basics of descriptive and inferential statistics (estimation, hypothesis testing), and the third presents the elements of correlation and linear regression analysis.Thanks to examples showing how to approach real-world problems using statistics, readers will acquire stronger analytical thinking skills, which are essential for analysts and data scientists alike.

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Springer Nature Switzerland AG A Concise Introduction To Scientific Visualization : Past, Present, And Future 26.98 GBP Scientific visualization has always been an integral part of discovery, starting first with simplified drawings of the pre-Enlightenment and progressing to present day.Mathematical formalism often supersedes visual methods, but their use is at the core of the mental process.As historical examples, a spatial description of flow led to electromagnetic theory, and without visualization of crystals, structural chemistry would not exist.With the advent of computer graphics technology, visualization has become a driving force in modern computing.A Concise Introduction to Scientific Visualization – Past, Present, and Future serves as a primer to visualization without assuming prior knowledge.It discusses both the history of visualization in scientific endeavour, and how scientific visualization is currently shaping the progress of science as a multi-disciplinary domain.

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Springer Nature Switzerland AG The Logical Writings Of Karl Popper 41.39 GBP This open access book is the first ever collection of Karl Popper's writings on deductive logic. Karl R. Popper (1902-1994) was one of the most influential philosophers of the 20th century.His philosophy of science ("falsificationism") and his social and political philosophy ("open society") have been widely discussed way beyond academic philosophy.What is not so well known is that Popper also produced a considerable work on the foundations of deductive logic, most of it published at the end of the 1940s as articles at scattered places.This little-known work deserves to be known better, as it is highly significant for modern proof-theoretic semantics. This collection assembles Popper's published writings on deductive logic in a single volume, together with all reviews of these papers.It also contains a large amount of unpublished material from the Popper Archives, including Popper's correspondence related to deductive logic and manuscripts that were (almost) finished, but did not reach the publication stage.All of these items are critically edited with additional comments by the editors.A general introduction puts Popper's work into the context of current discussions on the foundations of logic.This book should be of interest to logicians, philosophers, and anybody concerned with Popper's work.

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Springer Nature Switzerland AG Delay And Uncertainty In Human Balancing Tasks 59.79 GBP This book demonstrates how delay differential equations (DDEs) can be used to compliment the laboratory investigation of human balancing tasks.This approach is made accessible to non-specialists by comparing mathematical predictions and experimental observations.For example, the observation that a longer pole is easier to balance on a fingertip than a shorter one demonstrates the essential role played by a time delay in the balance control mechanism.Another balancing task considered is postural sway during quiet standing.With the inverted pendulum as the driver and the feedback control depending on state variables or on an internal model, the feedback can be identified by determining a critical pendulum length and/or a critical delay.This approach is used to identify the nature of the feedback for the pole balancing and postural sway examples.Motivated by the question of how the nervous system deals with these feedback control challenges, there is a discussion of ‘’microchaotic’’ fluctuations in balance control and how robust control can be achieved in the face of uncertainties in the estimation of control parameters.The final chapter suggests some topics for future research. Each chapter includes an abstract and a point-by-point summary of the main concepts that have been established.A particularly useful numerical integration method for the DDEs that arise in balance control is semi-discretization.This method is described and a MATLAB template is provided. This book will be a useful source for anyone studying balance in humans, other bipedal organisms and humanoid robots.Much of the material has been used by the authors to teach senior undergraduates in computational neuroscience and students in bio-systems, biomedical, mechanical and neural engineering.

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Springer Nature Switzerland AG Advancing Parametric Optimization : On Multiparametric Linear Complementarity Problems With Parameters In General Locations 50.59 GBP The theory presented in this work merges many concepts from mathematical optimization and real algebraic geometry.When unknown or uncertain data in an optimization problem is replaced with parameters, one obtains a multi-parametric optimization problem whose optimal solution comes in the form of a function of the parameters.The theory and methodology presented in this work allows one to solve both Linear Programs and convex Quadratic Programs containing parameters in any location within the problem data as well as multi-objective optimization problems with any number of convex quadratic or linear objectives and linear constraints.Applications of these classes of problems are extremely widespread, ranging from business and economics to chemical and environmental engineering.Prior to this work, no solution procedure existed for these general classes of problems except for the recently proposed algorithms

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Springer Nature Switzerland AG Post-Conflict Colombia And The Global Circulation Of Military Expertise 32.19 GBP By challenging more common analyses that point to the existence of a "post-conflict scenario" in Colombia and those that resist the narrative of "success", both of which operate within the logic of presence/absence of violence, this book proposes instead that we think of "post-conflict" in terms of the transformation of the rules on the use of violence.The analysis unfolds in two parts: the first explores the conditions of possibility of the Colombian “success story” and the web of criteria legitimizing the “success”, as well as the silencing mechanisms allowing for Colombia to circulate internationally as a formula to be replicated in other parts of the world; the second, focuses on the historicization of the mechanisms through which new rules are transmitted among the professionals of the public force, specifically the transformations of military schools and training centers in Colombia from times of “war” to “peace”.The author argues that key to this transformation is a unique discursive articulation around the “military professional” which slides from “citizen-soldier” to “expert-soldier”.

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Springer Nature Switzerland AG Inverse Acoustic And Electromagnetic Scattering Theory 110.39 GBP The inverse scattering problem is central to many areas of science and technology such as radar, sonar, medical imaging, geophysical exploration and nondestructive testing.This book is devoted to the mathematical and numerical analysis of the inverse scattering problem for acoustic and electromagnetic waves.In this fourth edition, a number of significant additions have been made including a new chapter on transmission eigenvalues and a new section on the impedance boundary condition where particular attention has been made to the generalized impedance boundary condition and to nonlocal impedance boundary conditions.Brief discussions on the generalized linear sampling method, the method of recursive linearization, anisotropic media and the use of target signatures in inverse scattering theory have also been added.

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Springer Nature Switzerland AG Principles Of Parallel Scientific Computing : A First Guide To Numerical Concepts And Programming Methods 36.79 GBP New insight in many scientific and engineering fields is unthinkable without the use of numerical simulations running efficiently on modern computers.The faster we get new results, the bigger and accurate are the problems that we can solve.It is the combination of mathematical ideas plus efficient programming that drives the progress in many disciplines.Future champions in the area thus will have to be qualified in their application domain, they will need a profound understanding of some mathematical ideas, and they need the skills to deliver fast code. The present textbook targets students which have programming skills already and do not shy away from mathematics, though they might be educated in computer science or an application domain.It introduces the basic concepts and ideas behind applied mathematics and parallel programming that we need to write numerical simulations for today’s multicore workstations.Our intention is not to dive into one particular applicationdomain or to introduce a new programming language – we lay the generic foundations for future courses and projects in the area. The text is written in an accessible style which is easy to digest for students without years and years of mathematics education.It values clarity and intuition over formalism, and uses a simple N-body simulation setup to illustrate basic ideas that are of relevance in various different subdomains of scientific computing.Its primary goal is to make theoretical and paradigmatic ideas accessible to undergraduate students and to bring the fascination of the field across.

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Springer Nature Switzerland AG Workbook For Principles Of Microeconomics 33.11 GBP This Second Edition updates the companion workbook to match the new edition of the textbook Principles of Microeconomics.Each chapter features a wide variety of exercises, ranging from basic multiple-choice questions to challenging mathematical problems and case study scenarios. The textbook pursues an integrative approach to modern microeconomics by critically reflecting on the main findings of economics from a philosophical standpoint and comparing them to approaches found in the social sciences.It adopts an institutional perspective to analyze the potential and limitations of different market types, and highlights implications for the design of the legal system and business practices throughout.In addition to traditional rational-choice models, important findings from behavioral economics and psychology are also presented.

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Springer Nature Switzerland AG Mathematical Logic : Exercises And Solutions

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