Mathematics Books
Oxford University Press AQA A Level Maths A Level Exam Practice Workbook
Book SynopsisThis book provides mock papers for the new 2017 AQA A Level (first exams in 2019). Mock papers are the ideal revision resource for AS Level maths, and these have been created to perfectly match the style and content of the new linear exams. The book contains 3 sets of AS papers, therefore six papers in total. With rubric at the front, and space to write answers directly onto the page, this book provides realistic practice of the actual exam. Answers are in the back of the book with the full mark scheme available online.
£11.67
Oxford University Press, USA Oxford Texts in Applied and Engineering
Book SynopsisPresents an account of the development of laminar boundary layer theory as a historical study. This book includes a description of the application of the ideas of triple deck theory to flow past a plate, to separation from a cylinder and to flow in channels. It is intended to provide a graduate level teaching resource.Trade ReviewThis book provides various physical/engineering/historical insights on this topic. * EMS *Sobey includes recent work in a seamless manner ... a very readable book. * New Scientist *
£999.99
Oxford University Press An Introduction To Numerical Methods In C
Book SynopsisDesigned for the many applied mathematicians and engineers who wish to explore computerized numerical methods, this text communicates an enthusiasm for the power of C++, an object-oriented language, as a tool for this kind of work. This revision of the successful first edition includes for the first time information on programming in Windows-based environments. In addition this revision includes new topics and methods throughout the text that clarify and enhance the treatment of the subject. From reviews of the first edition: ''If you are interested in numerical methods or are looking for a course text this book is worth your attention.'''' Journal of the Association of C and C++ UsersTable of Contents1. Preliminaries ; 2. Expressions, statements and functions ; 3. Errors, theorems and speed ; 4. Roots of non-linear equations ; 5. Classes ; 6. Derived classes and streams ; 7. Integer arithmetic ; 8. Tests of randomness ; 9. Vectors and matrices ; 10. Direct solution of linear equations ; 11. Errors in matrix manipulation ; 12. Iterative solutions of systems of equations ; 13. Matrix eigenvalue problems ; 14. Interpolation and data fitting ; 15. Graphics ; 16. Differentiation and integration ; 17. Orthogonal polynomials ; 18. Differential equations ; 19. More about differential equations ; 20. Recursive data types - lists ; 21. Elements of Fourier analysis
£999.99
Clarendon Press Groups of Finite Morley Rank 26 Oxford Logic
Book Synopsis'Oxford Logic Guide provides comprehensive coverage of a new research area in algebra and model theory. Model theoretical and group theoretical notions are explained in detail, and almost all the known results in the area are included. Aimed at the needs of the graduate student, there are many exercises (with hints) and carefully chosen examples.Table of Contents1. Basic Group Theory ; 2. Definability ; 3. Interpretability ; 4. Ranked Universe ; 5. Basic Properties ; 6. Nilpotent Groups ; 7. Semisimple Groups ; 8. Fields and Rings ; 9. Solvable Groups ; 10. 2-Sylow Theory ; 11. Permutation Groups ; 12. Gepometrics ; 13. bad Groups ; 14. CN and CIT-Groups ; A. Miscellaneous Results ; B. Open Problems ; C. Link with Model Theory ; D. Hints to the Exercises ; Bibliography ; Index
£161.50
Oxford University Press Quasiconformal Maps and Teichmüller Theory
Book SynopsisBased on a series of graduate lectures given by Vladimir Markovic at the University of Warwick in spring 2003, this book is accessible to those with a grounding in complex analysis looking for an introduction to the theory of quasiconformal maps and Teichmüller theory. Assuming some familiarity with Riemann surfaces and hyperbolic geometry, topics covered include the Grötzch argument, analytical properties of quasiconformal maps, the Beltrami differential equation, holomorphic motions and Teichmüller spaces. Where proofs are omitted, references to where they may be found are always given, and the text is clearly illustrated throughout with diagrams, examples, and exercises for the reader.Table of ContentsPreface ; 1. The Grotzch argument ; 2. Geometric definition of quasiconformal maps ; 3. Analytic properties of quasiconformal maps ; 4. Quasi-isometries and quasisymmetric maps ; 5. The Beltrami differential equation ; 6. Holomorphic motions and applications ; 7. Teichmuller spaces ; 8. Extremal quasiconformal mappings ; 9. Unique extremality ; 10. Isomorphisms of Teichmuller space ; 11. Local rigidity of Teichmuller spaces ; References ; Index
£111.62
Clarendon Press Elementary Fluid Dynamics
This textbook provides a clear and concise introduction to both theory and application of fluid dynamics. It has a wide scope, frequent references to experiments, and numerous exercises (with hints and answers).
£74.10
Oxford University Press Math Hysteria
Book SynopsisWelcome to Ian Stewart''s strange and magical world of mathematics! In Math Hysteria, Professor Stewart presents us with a wealth of magical puzzles, each one spun around an amazing tale: Counting the Cattle of the Sun; The Great Drain Robbery; and Preposterous Piratical Predicaments; to name but a few. Along the way, we also meet many curious characters: in short, these stories are engaging, challenging, and lots of fun!Trade ReviewIn Math Hysteria, Professor Stewart presents us with a wealth of intriguing, challenging, and fun puzzles, each one spun around an amazing tale. * L'Enseignement Mathematique, 2005 *Table of ContentsPreface ; 1. I know that you know that ... ; 2. Domino theories ; 3. Turning the tables ; 4. The anthropomurphic principle ; 5. Counting the cattle of the sun ; 6. The great drain robbery ; 7. Two-way jigsaw puzzles ; 8. Tales of a neglected number ; 9. Is Monopoly fair? ; 10. Monopoly revisited ; 11. A guide to computer dating ; 12. Dividing the spoils ; 13. Squaring the square ; 14. The bellows conjecture ; 15. Purposefully piling pyramids ; 16. Be a dots-and-boxes grandmaster ; 17. Choosily chomping chocolate ; 18. Shedding a little darkness ; 19. Preposterous piratical predicaments ; 20. Million-dollar minesweeper ; Further reading
£999.99
Oxford University Press Mathematicians and Their Gods
Book SynopsisTo open a newspaper or turn on the television it would appear that science and religion are polar opposites - mutually exclusive bedfellows competing for hearts and minds. There is little indication of the rich interaction between religion and science throughout history, much of which continues today. From ancient to modern times, mathematicians have played a key role in this interaction. This is a book on the relationship between mathematics and religious beliefs. It aims to show that, throughout scientific history, mathematics has been used to make sense of the ''big'' questions of life, and that religious beliefs sometimes drove mathematicians to mathematics to help them make sense of the world. Containing contributions from a wide array of scholars in the fields of philosophy, history of science and history of mathematics, this book shows that the intersection between mathematics and theism is rich in both culture and character. Chapters cover a fascinating range of topics including the Sect of the Pythagoreans, Newton''s views on the apocalypse, Charles Dodgson''s Anglican faith and Gödel''s proof of the existence of God.Trade ReviewPerhaps this is the most valuable contribution of Mathematicians and their Gods as a whole: it discusses ideas which must often appear strange to modern readers, and in explaining their context and influence helps us to understand how they captured the imaginations of our mathematical predecessors. This book will appeal to all those with an interest in mathematical history, regardless of their own religious views. * Paul Taylor, Mathematics Today *Lawrence and McCartney's volume captures the various ways in which mathematics and religion have represented commensurable, even interconnected, systems of knowledge and belief. ... The collection will serve these readers well and could also benefit historians of science or theology unfamiliar with the ground covered in these essays. * Laura Kotevska, British Journal for the History of Science *Lawrence and McCartney have done an admirable job in assembling a book of remarkable scholarship on a topic which challenges readers working in science or technology. * Giovanni Pistone, ESSSAT News & Reviews *fascinating from cover to cover * Michael N. Fried, Mathematical Thinking and Learning *Table of Contents1. Introduction ; 2. The Pythagoreans: Number and Numerology ; 3. Divine light ; 4. Kepler and his Trinitarian Cosmology ; 5. The Lull before the storm: combinatorics in the Renaissance ; 6. Mystical Arithmetic in the Renaissance: From Biblical Hermeneutics to a Philosophical Tool ; 7. Newton, God, and the mathematics of the Two Books ; 8. Maria Gaetana Agnesi, mathematician of God ; 9. Capital G for Geometry: Masonic lore and the history of geometry ; 10. Charles Dodgeson's Work for God ; 11. P. G. Tait, Balfour Stewart and The Unseen Universe ; 12. Faith and Flatland ; 13. Godel's "proof" for the existence of God
£999.99
Oxford University Press Why Beliefs Matter Reflections On The Nature Of
Book SynopsisIn the follow-up to his acclaimed Science in the Looking Glass, Brian Davies discusses deep problems about our place in the world, using a minimum of technical jargon. The book argues that ''absolutist'' ideas of the objectivity of science, dating back to Plato, continue to mislead generations of both theoretical physicists and theologians. It explains that the multi-layered nature of our present descriptions of the world is unavoidable, not because of anything about the world, but because of our own human natures. It tries to rescue mathematics from the singular and exceptional status that it has been assigned, as much by those who understand it as by those who do not. Working throughout from direct quotations from many of the important contributors to its subject, it concludes with a penetrating criticism of many of the recent contributions to the often acrimonious debates about science and religions.Trade ReviewDavies has thought long and hard about the relationship of mathematics to the physical world, which gives him an interesting and even helpful perspective. * Josh Reeves, ESSSAT News 21.3 *Although some of the ideas in the book are complex, the presentation is both lucid and entertaining. It has made me re-evaluate my own beliefs about the nature of mathematics. Davies raises more questions than answers, and I strongly recommend to you this thought-provoking book. * Colva Roney-Dougal, The London Mathematical Society Newsletter *... a wide-ranging, thought-provoking meditation. * Manjit Kumar, New Scientist *Table of ContentsPreface ; 1. The Scientific Revolution ; 2. The Human Condition ; 3. The Nature of Mathematics ; 4. Sense and Nonsense ; 5. Science and Religion
£999.99
Oxford University Press The Foundations of Mathematics
Book SynopsisThe transition from school mathematics to university mathematics is seldom straightforward. Students are faced with a disconnect between the algorithmic and informal attitude to mathematics at school, versus a new emphasis on proof, based on logic, and a more abstract development of general concepts, based on set theory. The authors have many years'' experience of the potential difficulties involved, through teaching first-year undergraduates and researching the ways in which students and mathematicians think. The book explains the motivation behind abstract foundational material based on students'' experiences of school mathematics, and explicitly suggests ways students can make sense of formal ideas.This second edition takes a significant step forward by not only making the transition from intuitive to formal methods, but also by reversing the process- using structure theorems to prove that formal systems have visual and symbolic interpretations that enhance mathematical thinking. This is exemplified by a new chapter on the theory of groups. While the first edition extended counting to infinite cardinal numbers, the second also extends the real numbers rigorously to larger ordered fields. This links intuitive ideas in calculus to the formal epsilon-delta methods of analysis. The approach here is not the conventional one of ''nonstandard analysis'', but a simpler, graphically based treatment which makes the notion of an infinitesimal natural and straightforward. This allows a further vision of the wider world of mathematical thinking in which formal definitions and proof lead to amazing new ways of defining, proving, visualising and symbolising mathematics beyond previous expectations.Trade ReviewThe writing is both rigorous and thorough, and the authors use compact presentations to support their explanations and proofs. Highly recommended. * N. W. Schillow, CHOICE *Table of ContentsI: THE INTUITIVE BACKGROUND; II: THE BEGINNINGS OF FORMALISATION; III: THE DEVELOPMENT OF AXIOMATIC SYSTEMS; IV: USING AXIOMATIC SYSTEMS; V: STRENGTHENING THE FOUNDATIONS
£23.99
Oxford University Press Statistics of Extremes and Records in Random
Book SynopsisRare events such as earthquakes, tsunamis, and floods fortunately do not occur every day, but when they do, their effects are devastating. Such rare events are particularly important in understanding and characterizing global warming and climate changes. In addition to natural catastrophes, rare events such as big financial crashes also play a significant role in the economy. In the absence of predictive models, the best way forward is to analyse the statistics of these extreme events and draw conclusions about the probability of their occurrences.Extreme value statistics (EVS) and the statistics of records in a random sequence are examples of a truly interdisciplinary topic, spanning from statistics and mathematics on one side to physics of disordered systems on the other. They have tremendous importance and practical applications in a wide variety of fields, such as climate science, finance, spin-glasses, and random matrices.Statistics and mathematical literature have explored the su
£42.75
Oxford University Press Foundations of Science Mathematics OCP 2e Oxford
Book SynopsisMathematics plays a key part in every quantitative and theoretical subject, and is taught to all science and engineering students. Foundations of Science Mathematics bridges the gap between school and university, and spans a large range of topics, from basic arithmetic and algebra to calculus, Fourier transforms, and elementary data analysis. Problems and worked solutions are presented in an informal and readable tutorial style, making the text accessible to the novice, while its concise nature ensures that it is a useful reference for the experienced professional.The first edition primer and its companion ''Worked Problems'' workbook are combined in this new edition, and a new chapter on data analysis has been added to ensure the book remains as comprehensive and useful to students as possible.Trade ReviewThe answers to the worked examples are superb, very instructive, and include detailed sketches. * Dr Athanasia Dervisi, Cardiff University *There is a selection of worked examples in a chemistry context which help students to apply maths more efficiently in their chemistry modules. * Dr Gita Sedghi, University of Liverpool *Excellent, concise coverage of basic algebra. * Prof Scott Woodley, University College London *Table of Contents1: Basic algebra and arithmetic 2: Curves and graphs 3: Trigonometry 4: Differentiation 5: Integration 6: Taylor series 7: Complex numbers 8: Vectors 9: Matricies 10: Partial differentiation 11: Line integrals 12: Multiple integrals 13: Ordinary differential equations 14: Partial differential equations 15: Fourier series and transforms 16: Data analysis
£32.99
Oxford University Press Introduction to the Theory of Complex Systems
Book SynopsisThis book is a comprehensive introduction to quantitative approaches to complex adaptive systems. Practically all areas of life on this planet are constantly confronted with complex systems, be it ecosystems, societies, traffic, financial markets, opinion formation and spreading, or the internet and social media. Complex systems are systems composed of many elements that interact strongly with each other, which makes them extremely rich dynamical systems showing a huge range of phenomena. Properties of complex systems that are of particular importance are their efficiency, robustness, resilience, and proneness to collapse.The quantitative tools and concepts needed to understand the co-evolutionary nature of networked systems and their properties are challenging. The book gives a self-contained introduction to these concepts, so that the reader will be equipped with a toolset that allows them to engage in the science of complex systems. Topics covered include random processes of path-deTrade ReviewWell written and structured * Ejay Nsugbe, Mathematics Today *The authors make an excellent job in describing their introduction to Complex Systems theory . . . The book is certainly an excellent start for students (who can find also a series of exercises in every chapter and for practioners). For scientists it is a useful handbook to find whatever needed to start their journey in Complexity Science. * Guido Caldarelli, IMT Alti Studi Lucca, Mathematics Magazine *It seems to me that the authors have succeeded admirably in their aims and that, by helping to train and enthuse the next generation of researchers on complex systems, their book will contribute substantially towards overcoming any possible bottleneck that is impeding further progress. * Peter V. E. McClintock, Department of Physics, Lancaster University, Contemporary Physics *This book is a comprehensive introduction to quantitative approaches to complex adaptive systems, starting from basic principles. It also equips the reader with a basic self-contained toolkit for engaging in complex systems science. It extends earlier classical literature in the field to summarize in a clear, structured, and comprehensive way the methodological progress made in complex systems science over the past 20 years. * Mathematical Reviews Clippings *This book will surely become a standard text for anyone who wants to seriously understand complexity no matter what their background or stage of career. It is written from a physicists perspective, stressing mechanism, underlying principles and mathematical rigour, yet is eminently readable and pedagogical. * Geoffrey West, Santa Fe Institute *Complexity until now has been lacking a strong theoretical underpinning. Now it has one. This book is a tour de force. Excellent! * W. Brian Arthur, Santa Fe Institute *Table of Contents1: Introduction to complex systems 2: Probability and random processes 3: Scaling 4: Networks 5: Evolutionary processes 6: Statistical mechanics & information theory for complex systems 7: The future of the science of complex systems? 8: Special functions and approximations
£999.99
Oxford University Press Topology
Book SynopsisHow is a subway map different from other maps? What makes a knot knotted? What makes the Möbius strip one-sided? These are questions of topology, the mathematical study of properties preserved by twisting or stretching objects. In the 20th century topology became as broad and fundamental as algebra and geometry, with important implications for science, especially physics.In this Very Short Introduction Richard Earl gives a sense of the more visual elements of topology (looking at surfaces) as well as covering the formal definition of continuity. Considering some of the eye-opening examples that led mathematicians to recognize a need for studying topology, he pays homage to the historical people, problems, and surprises that have propelled the growth of this field. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.Trade ReviewThe book is written in an intuitive, informal and motivating style, with emphasis on concepts, ideas, examples and historical comments, and can be recommended as parallel reading for students of a basic course in topology. * Bruno Zimmermann, zbMATH *Table of Contents1: What is Topology? 2: Making Surfaces 3: Thinking Continuously 4: The Plane and Other Spaces 5: Flavours of Topology 6: More on Surfaces 7: Knot to Be Historical Timeline Further Reading Index
£9.49
Oxford University Press The Oxford Linear Algebra for Scientists
Book SynopsisThis textbook provides a modern introduction to linear algebra, a mathematical discipline every first year undergraduate student in physics and engineering must learn. A rigorous introduction into the mathematics is combined with many examples, solved problems, and exercises as well as scientific applications of linear algebra. These include applications to contemporary topics such as internet search, artificial intelligence, neural networks, and quantum computing, as well as a number of more advanced topics, such as Jordan normal form, singular value decomposition, and tensors, which will make it a useful reference for a more experienced practitioner. Structured into 27 chapters, it is designed as a basis for a lecture course and combines a rigorous mathematical development of the subject with a range of concisely presented scientific applications. The main text contains many examples and solved problems to help the reader develop a working knowledge of the subject and every chapter comes with exercises.Trade ReviewThe authors are uniquely well qualified to produce a textbook suitable for first-year university students. * David Matravers, University of Portsmouth *Linear Algebra is a core undergraduate course not only in Mathematics but also in Physics, Chemistry, Biology and Computer Science. This textbook brilliantly succeeds in catering to such a wide audience by covering a broad range of formal developments along with concrete applications and is unique in its presentation of the topic. * Richard Joseph Szabo, Heriot-Watt University *Lukas has written an impressive mathematical textbook that covers standard introductory linear algebra topics along with advanced concepts that will appeal to many readers. * Choice *Table of Contents1: Linearity - an informal introduction 2: Sets and functions 3: Groups 4: Fields 5: Coordinate vectors 6: Vector spaces 7: Elementary vector space properties 8: Vector subspaces 9: The dot product 10: Vector and triple product 11: Lines and planes 12: Introduction to linear maps 13: Matrices 14: The structure of linear maps 15: Linear maps in terms of matrices 16: Computing with matrices 17: Linear systems 18: Determinants 19: Basics of eigenvalues 20: Diagonalising linear maps 21: The Jordan normal form 22: Scalar products 23: Adjoint and unitary maps 24: Diagonalisation - again 25: Bi-linear and sesqui-linear forms 26: The dual vector space 27: Tensors
£29.49
Oxford University Press The Wonder Book of Geometry
Book SynopsisHow can we be sure that Pythagoras''s theorem is really true? Why is the ''angle in a semicircle'' always 90 degrees? And how can tangents help determine the speed of a bullet?David Acheson takes the reader on a highly illustrated tour through the history of geometry, from ancient Greece to the present day. He emphasizes throughout elegant deduction and practical applications, and argues that geometry can offer the quickest route to the whole spirit of mathematics at its best. Along the way, we encounter the quirky and the unexpected, meet the great personalities involved, and uncover some of the loveliest surprises in mathematics.Trade ReviewWell written, clear and informative. * Edward Rochead, Mathematics today *This delightful book should be available, at the minimum, in every high school library and in every public library. * F. -J. Papp, Mathematical Reviews Clippings *It would make an ideal addition both to readers' bookshelves and for every school library. * GERRY LEVERSHA, The Mathematical Gazette *Everything was explained clearly and concisely so that the wonders of geometry could definitely be seen. * Jasmine Wootten, LMS Newsletter *Don't Miss: The Wonder Book of Geometry is full of pretty surprises... * New Scientist *Give this to a curious teenager and they will fall in love with geometry. * Alex Bellos *David Acheson has set geometry free from the confines of stuffy textbooks and lets loose its potential to surprise and delight. Theres a rich and ancient history to be found in these pages, and a future for the field that extends beyond neat (yet elegant) equations. * BBC Science Focus, Books of the Year *This is by far the most approachable book on geometry I've ever read, and I wish it had been around in my day... if you need to learn the basics of geometry for whatever reason (there must be several reasons, surely) then this blows every known textbook on the topic out of the water... The Wonder Book of Geometry does what it does wonderfully. Acheson has done a remarkable job. * Popular Science *Anyone who has read David's earlier books will instantly recognise his almost playful style... I highly recommend it as a marvellous source book on geometry. * Ray Huntley, Mathematics in Schools *There is no better tour guide to the wonders of geometry than the delightful David Acheson. * Matt Parker, author of Humble Pi: A Comedy of Maths Errors and Things to Make and Do in the Fourth Dimension *Table of Contents1: Introduction 2: Getting Started 3: Euclid's Elements 4: Thales' Theorem 5: Geometry in Action 6: Pythagoras' Theorem 7: 'In Love with Geometry'? 8: 'Imagine my exultation, Watson...' 9: Congruence and Similarity 10: Conversely... 11: Circle Theorems 12: Off at a Tangent 13: From Tangents to Supersonic Flow 14: What is pi, exactly? 15: The Story of the Ellipse 16: Geometry by Coordinates 17: Geometry and Calculus 18: A Royal Road to Geometry? 19: Unexpected Meetings 20: Ceva's Theorem 21: A Kind of Symmetry 22: 'Pyracy' in Woolwich? 23: Fermat's Problem 24: A Soap Solution 25: Geometry in 'The Ladies' Diary' 26: What Euclid Did 27: Euclid on Parallel Lines 28: 'A New Theory of Parallels'? 29: Anti-Euclid? 30: When Geometry Goes Wrong... 31: New Angles on Geometry 32: And Finally...
£13.49
Oxford University Press Poems That Solve Puzzles
Book SynopsisAlgorithms are the hidden methods that computers apply to process information and make decisions. Nowadays, our lives are run by algorithms. They determine what news we see. They influence which products we buy. They suggest our dating partners. They may even be determining the outcome of national elections. They are creating, and destroying, entire industries. Despite mounting concerns, few know what algorithms are, how they work, or who created them.Poems that Solve Puzzles tells the story of algorithms from their ancient origins to the present day and beyond. The book introduces readers to the inventors and inspirational events behind the genesis of the world''s most important algorithms. Professor Chris Bleakley recounts tales of ancient lost inscriptions, Victorian steam-driven contraptions, top secret military projects, penniless academics, hippy dreamers, tech billionaires, superhuman artificial intelligences, cryptocurrencies, and quantum computing. Along the way, the book explains, with the aid of clear examples and illustrations, how the most influential algorithms work.Compelling and impactful, Poems that Solve Puzzles tells the story of how algorithms came to revolutionise our world.Trade ReviewPoems that Solve Puzzles is a thorough investigation into the history of algorithms...It is an enjoyable read for anyone curious about how algorithms developed and were implemented throughout history.' * Notices of the American Mathematical Society *Poems that Solve Puzzles: The History and Science of Algorithms is an informative and entertaining book. It is appropriate for a wide swath of readers, from people who are interested in learning about what "blockchain" is without having to do any math to students and instructors in the mathematical sciences who need more examples of how these academic topics make important contributions to the technologically complex world we live in. * Ron Buckmire, Occidental College, Mathematical Association of America *Table of Contents0: Introduction 1: Ancient Algorithms 2: Ever Expanding Circles 3: Computer Dreams 4: Weather Forecasts 5: Artificial Intelligence Emerges 6: Needles in Haystacks 7: The Internet 8: Googling the Web 9: Facebook and Friends 10: America's Favourite Quiz Show 11: Mimicking the Brain 12: Superhuman Intelligence 13: Next Steps
£31.34
Oxford University Press Cryptographic Primitives in Blockchain Technology
Book SynopsisMany online applications, especially in the financial industries, are running on blockchain technologies in a decentralized manner, without the use of an authoritative entity or a trusted third party. Such systems are only secured by cryptographic protocols and a consensus mechanism. As blockchain-based solutions will continue to revolutionize online applications in a growing digital market in the future, one needs to identify the principal opportunities and potential risks. Hence, it is unavoidable to learn the mathematical and cryptographic procedures behind blockchain technology in order to understand how such systems work and where the weak points are.Cryptographic Primitives in Blockchain Technology provides an introduction to the mathematical and cryptographic concepts behind blockchain technologies and shows how they are applied in blockchain-based systems. This includes an introduction to the general blockchain technology approaches that are used to build the so-called immutablTable of Contents1: Introduction 2: Preliminaries 3: Cryptographic Primitives 4: Information Security in Software Systems 5: Distributed Systems 6: Introduction to Blockchain Technology 7: Bitcoin 8: Introduction to Quantum Computing 9: Bitcoin under brocken crypto primitives 10: Post-Quantum Blockchains 11: Conclusions
£86.45
Oxford University Press Beyond the Learned Academy
Book SynopsisThe tremendous growth of the mathematical sciences in the early modern world was reflected contemporaneously in an increasingly sophisticated level of practical mathematics in fields such as merchants'' accounts, instrument making, teaching, navigation, and gauging. In many ways, mathematics shaped the knowledge culture of the age, infiltrating workshops, dockyards, and warehouses, before extending through the factories of the Industrial Revolution to the trading companies and banks of the nineteenth century. While theoretical developments in the history of mathematics have been made the topic of numerous scholarly investigations, in many cases based around the work of key figures such as Descartes, Huygens, Leibniz, or Newton, practical mathematics, especially from the seventeenth century onwards, has been largely neglected. The present volume, comprising fifteen essays by leading authorities in the history of mathematics, seeks to fill this gap by exemplifying the richness, diversityTable of Contents1: Philip Beeley and Christopher Hollings: Introduction Part I - Navigation, Seafaring, Warfare 2: Jim Bennett: 'Mecanicall Practises Drawne from the Artes Mathematick': the Mathematical Identity of the Elizabethan Navigator John Davis 3: Margaret E. Schotte: Navigation Exams in the Early Modern Period 4: Rebekah Higgitt: Mathematical Examiners at Trinity House: Teaching and Examining Mathematics for Navigation in London During the Long Eighteenth Century 5: João Caramalho Domingues: What Mathematics for Portuguese Military Engineers? From the Class of Fortification to the Military Academy of Lisbon Part II - Professions, Societies, and Cultures of Mathematics 6: Sloan Evans Despeaux and Brigitte Stenhouse: Mathematical Men in Humble Life: Philomaths from North-west England as Editors of 'Questions for Answer' Journals 7: Benjamin Wardhaugh: Collection, Use, Dispersal: The Library of Charles Hutton and the Fate of Georgian Mathematics 8: Christopher D. Hollings: Mathematics at the Literary and Philosophical Societies 9: David R. Bellhouse: The Evolution of Actuarial Science to 1848 Part III - Mathematical Practitioners and their Scientific Milieus 10: Stefano Gulizia: Assembling the Scribal Self: Gian Vincenzo Pinelli's Circle and Mathematical Practitioners in the Veneto, c. 1580-1606 11: Philip Beeley: Mathematical Businesses: Seventeenth-Century Practitioners and their Academic Friends 12: Thomas Morel: 'All of This Was Born on Paper': The Mathematics of Tunnelling in Eighteenth-Century Metallic Mines Part IV - The Practice and Teaching of Mathematics 13: Ivo Schneider: Climbing the Social Ladder: Johannes Faulhaber's Path from Schoolmaster to Fortification Engineer 14: Albrecht Heeffer: The Difficult Relation of Surveyors with Algebra: The Hundred Mathematical Questions of Cardinael 15: Boris Jardine: The Life Mathematick: John and Euclid Speidell, and the Centrality of Instruments in Seventeenth-Century Pedagogy 16: Mark McCartney: James Thomson Senior and Mathematics at the Belfast Academical Institution, 1814-1832
£999.99
Oxford University Press Statistical Mechanics Entropy Order Parameters
Book SynopsisA new and updated edition of the successful Statistical Mechanics: Entropy, Order Parameters and Complexity from 2006. Statistical mechanics is a core topic in modern physics. Innovative, fresh introduction to the broad range of topics of statistical mechanics today, by brilliant teacher and renowned researcher.Trade ReviewReview from previous edition Since the book treats intersections of mathematics, biology, engineering, computer science and social sciences, it will be of great help to researchers in these fields in making statistical mechanics useful and comprehensible. At the same time, the book will enrich the subject for physicists who'd like to apply their skills in other disciplines. [...] The author's style, although quite concentrated, is simple to understand, and has many lovely visual examples to accompany formal ideas and concepts, which makes the exposition live and intuitvely appealing. * Olga K. Dudko, Journal of Statistical Physics, Vol 126 *Sethna's book provides an important service to students who want to learn modern statistical mechanics. The text teaches students how to work out problems by guiding them through the exercises rather than by presenting them with worked-out examples. * Susan Coppersmith, Physics Today, May 2007 *Table of ContentsPreface Contents List of figures What is statistical mechanics? 1.1: Quantum dice and coins 1.2: Probability distributions 1.3: Waiting time paradox 1.4: Stirling>'s formula 1.5: Stirling and asymptotic series 1.6: Random matrix theory 1.7: Six degrees of separation 1.8: Satisfactory map colorings 1.9: First to fail: Weibull 1.10: Emergence 1.11: Emergent vs. fundamental 1.12: Self-propelled particles 1.13: The birthday problem 1.14: Width of the height distribution 1.15: Fisher information and Cram´erDSRao 1.16: Distances in probability space Random walks and emergent properties 2.1: Random walk examples: universality and scale invariance 2.2: The diffusion equation 2.3: Currents and external forces 2.4: Solving the diffusion equation Temperature and equilibrium 3.1: The microcanonical ensemble 3.2: The microcanonical ideal gas 3.3: What is temperature? 3.4: Pressure and chemical potential 3.5: Entropy, the ideal gas, and phase-space refinements Phase-space dynamics and ergodicity 4.1: Liouville>'s theorem 4.2: Ergodicity Entropy 5.1: Entropy as irreversibility: engines and the heat death of the Universe 5.2: Entropy as disorder 5.3: Entropy as ignorance: information and memory Free energies 6.1: The canonical ensemble 6.2: Uncoupled systems and canonical ensembles 6.3: Grand canonical ensemble 6.4: What is thermodynamics? 6.5: Mechanics: friction and fluctuations 6.6: Chemical equilibrium and reaction rates 6.7: Free energy density for the ideal gas Quantum statistical mechanics 7.1: Mixed states and density matrices 7.2: Quantum harmonic oscillator 7.3: Bose and Fermi statistics 7.4: Non-interacting bosons and fermions 7.5: MaxwellDSBoltzmann 's regression hypothesis and time correlations 10.5: Susceptibility and linear response 10.6: Dissipation and the imaginary part 10.7: Static susceptibility 10.8: The fluctuation-dissipation theorem 10.9: Causality and KramersDSKr¨onig Abrupt phase transitions 11.1: Stable and metastable phases 11.2: Maxwell construction 11.3: Nucleation: critical droplet theory 11.4: Morphology of abrupt transitions Continuous phase transitions 12.1: Universality 12.2: Scale invariance 12.3: Examples of critical points A Appendix: Fourier methods A.1: Fourier conventions A.2: Derivatives, convolutions, and correlations A.3: Fourier methods and function space A.4: Fourier and translational symmetry References Index
£37.99
Oxford University Press Solitons Instantons and Twistors
Book Synopsis
£42.75
Oxford University Press Syllogistic Logic and Mathematical Proof
Book SynopsisDoes syllogistic logic have the resources to capture mathematical proof? This volume provides the first unified account of the history of attempts to answer this question, the reasoning behind the different positions taken, and their far-reaching implications. Aristotle had claimed that scientific knowledge, which includes mathematics, is provided by syllogisms of a special sort: ''scientific'' (''demonstrative'') syllogisms. In ancient Greece and in the Middle Ages, the claim that Euclid''s theorems could be recast syllogistically was accepted without further scrutiny. Nevertheless, as early as Galen, the importance of relational reasoning for mathematics had already been recognized. Further critical voices emerged in the Renaissance and the question of whether mathematical proofs could be recast syllogistically attracted more sustained attention over the following three centuries. Supported by more detailed analyses of Euclidean theorems, this led to attempts to extend logical theory to include relational reasoning, and to arguments purporting to reduce relational reasoning to a syllogistic form. Philosophical proposals to the effect that mathematical reasoning is heterogenous with respect to logical proofs were famously defended by Kant, and the implications of the debate about the adequacy of syllogistic logic for mathematics are at the very core of Kant''s account of synthetic a priori judgments. While it is now widely accepted that syllogistic logic is not sufficient to account for the logic of mathematical proof, the history and the analysis of this debate, running from Aristotle to de Morgan and beyond, is a fascinating and crucial insight into the relationship between philosophy and mathematics.Table of ContentsIntroduction 1: Aristotelian Syllogism and Mathematics in Antiquity and the Medieval Period 2: Extensions of the Syllogism in Medieval Logic 3: Syllogistic and Mathematics: The Case of Piccolomini 4: Obliquities and Mathematics in the 17th and 18th Centuries: From Jungius to Wolff 5: The Extent of Syllogistic Reasoning: From Rüdiger to Wolff 6: Lambert and Kant 7: Bernard Bolzano on Non-Syllogistic Reasoning 8: Thomas Reid, William Hamilton and Augustus De Morgan Conclusion
£999.99
Oxford University Press The Life and Work of James Bradley
Book SynopsisThe Life and Work of James Bradley: The New Foundations of 18th Century Astronomy is the first major work on the life and achievements of James Bradley for 190 years. This book offers a new perspective and new interpretations of previously published materials, together with various insights about recently researched sources.This book is a complete account of the life and work of Bradley as discerned from surviving documents of his working archive, as well as other documents and records. In addition, it offers a new interpretation of Bradley''s work as an astronomer, not merely from his observations of Jupiter and Saturn and their satellites and annual aberration and the nutation of the Earth''s axis, but also his corroborative work with pendulums and other horological work with George Graham. It also explores the little amount documented about his private life including a degree of speculation about his personal relationships.This work on 18th century astronomy is intended for studentsTable of ContentsPreface Table of contents Introduction: Contexts and connections 1: The King's observator 2: May it please your Honours 3: An ingenious young man 4: A new discovered motion 5: And yet it moves 6: The laws of nature 7: On the figure of the Earth 8: The triumph of Themistocles 9: If such a man could have enemies... 10: Observations beyond compare 11: Fundamenta Astronomiae Conclusion: The man who moved the world
£83.00
Oxford University Press Fractions
Book Synopsis
£999.99
Oxford University Press What Is Mathematical Logic
a huge range and FREE tracked UK delivery on ALL orders.
£23.75
Oxford University Press A Modern Introduction to Probability and
Book SynopsisProbability and statistics are subjects fundamental to data analysis, which, in turn, is essential for efficient artificial intelligence.
£38.00
OUP OXFORD Noncommutative measures and and Orlicz Spaces
Book Synopsis
£42.75
Oxford University Press Modelling Spatial Density
£42.75
Oxford University Press Graphs and Homomorphisms
a huge range and FREE tracked UK delivery on ALL orders.
£42.75
Oxford University Press The Methodology and Practice of Econometrics
Book SynopsisDavid F. Hendry is a seminal figure in modern econometrics. He has pioneered the LSE approach to econometrics, and his influence is wide ranging. This book is a collection of papers dedicated to him and his work. Many internationally renowned econometricians who have collaborated with Hendry or have been influenced by his research have contributed to this volume, which provides a reflection on the recent advances in econometrics and considers the future progress for the methodology of econometrics. Central themes of the book include dynamic modelling and the properties of time series data, model selection and model evaluation, forecasting, policy analysis, exogeneity and causality, and encompassing. The book strikes a balance between econometric theory and empirical work, and demonstrates the influence that Hendry''s research has had on the direction of modern econometrics.Contributors include: Karim Abadir, Anindya Banerjee, Gunnar Bårdsen, Andreas Beyer, Mike Clements, James DavidsonTable of Contents1. An analysis of the indicator saturation estimator as a robust regression estimator ; 2. Empirical Identification of the Vector Autoregression: The Causes and Effects of U.S. M2 ; 3. Retrospective Estimation of Causal Effects Through Time ; 4. Autometrics ; 5. High Dimenson Dynamic Correlations ; 6. Pitfalls in Modeling Dependence Structures: Explorations with Copulas ; 7. Forecasting in Dynamic Factor Models Subject to Structural Instability ; 8. Internal consistency of survey respondents forecasts: Evidence based on the Survey of Professional Forecasters ; 9. Factor-augmented Error Correction Models ; 10. In Praise Of Pragmatic In Econometrics ; 11. On Efficient Simulations In Dynamic Models ; 12. Simple Wald Tests of the Fractional Integration Parameter: An Overview of New Results ; 13. When is a Time Series I(0)? ; 14. Model Identification and Non-unique Structure ; 15. Does it matter how to measure aggregates? The case of monetary transmission mechanisms in the Euro area ; 16. U.S. natural rate dynamics reconsidered ; 17. Constructive Data Mining: Modeling Argentine Broad Money Demand
£999.99
Oxford University Press Environment and Statecraft The Strategy of
Book SynopsisEnvironmental problems like global climate change and stratospheric ozone depletion can only be remedied if states cooperate with one another. But sovereign states usually care only about their own interests. So states must somehow restructure the incentives to make cooperation pay. This is what treaties are meant to do. A few treaties, such as the Montreal Protocol on Substances that Deplete the Ozone Layer, succeed. Most, however, fail to alter the state behaviour appreciably. This book develops a theory that explains both the successes and the failures. In particular, the book explains when treaties are needed, why some work better than others, and how treaty design can be improved. The best treaties strategically manipulate the incentives states have to exploit the environment, and the theory developed in this book shows how treaties can do this. The theory integrates a number of disciplines, including economics, political science, international law, negotiation analysis, and game Trade Review... a truly important contribution to the literature on international environmental cooperation. * Journal of Institutional and Theoretical Economics *Table of Contents1. Introduction ; 2. The North Pacific Fur Seal Treaty and the Theory of International Cooperation ; 3. Transnational Cooperation Dilemmas ; 4. Games with Multiple Equilibria ; 5. Customary Rights and Responsibilities ; 6. International Environmental Agreements ; 7. The Treaty Participation Game ; 8. The Montreal Protocol ; 9. Tipping Treaties ; 10. Compliance and the Strategy of Reciprocity ; 11. The Depth and Breadth of International Cooperation ; 12. Trade Leakage and Trade Linkage ; 13. The Side Payments Game ; 14. Summary ; 15. Global Climate Change and the Kyoto Protocol
£31.49
Oxford University Press Inc Explanation in Causal Inference
Book SynopsisTrade ReviewYes, mediation is an important topic. It has longed been used in the social sciences especially psychology. Of late there has been interest in many different fields including economics, sociology, epidemiology, political science and education, among other fields. Tyler VanderWeele is very qualified to author this book. He has contributed important work to the development of this topic and is a talented and careful researcher. I think there is potential for adoption in graduate courses in the social and biomedical sciences. I also think it could be widely purchased by applied researchers as a reference. I recommend publication. * Luke Keele, Associate Professor, Department of Political Science, Penn State University *Mediation is about understanding pathways between a treatment and an outcome that lead to the outcome, i.e., mechanisms. Mechanisms are a central thing in science and statisticians have been providing new principled methods for studying these topics over especially the last 10 years. Especially in the social and behavioral sciences and in epidemiology there has been great interest in these methods, and the methodology the author wants to write about is the new stuff from the last 10 years. [VanderWeele] is the key player in statistical literature these days. He's a good communicator… Primary market: applied researchers doing mediation in epidemiology, social and behavioral sciences. Secondary market: applied statisticians teaching causal inference and/or working in the area." " * Michael Sobel, Dept Sociology, Columbia *Table of ContentsPART I: MEDIATION ANALYSIS ; Chapter 1. Explanation and Mechanism ; Chapter 2. Mediation: Introduction and Regression-Based Approaches ; Chapter 3. Sensitivity Analysis for Mediation ; Chapter 4. Mediation Analysis with Survival Data ; Chapter 5. Multiple Mediators ; Chapter 6. Mediation Analysis with Time-Varying Exposures and Mediators ; Chapter 7. Selected Topics in Mediation Analysis ; Chapter 8. Other Topics Related to Intermediates ; PART II: INTERACTION ANALYSIS ; Chapter 9. An Introduction to Interaction Analysis ; Chapter 10. Mechanistic Interaction ; Chapter 11. Bias Analysis for Interactions ; Chapter 12. Interaction in Genetics: Independence and Boosting Power ; Chapter 13. Power and Sample-Size Calculations for Interaction Analysis ; PART III: SYNTHESIS AND SPILLOVER EFFECTS ; Chapter 14. A Unification of Mediation and Interaction ; Chapter 15. Social Interactions and Spillover Effects ; Chapter 16. Mediation and Interaction: Future and Context ; Appendix. Technical Details and Proofs ; References
£115.00
Oxford University Press DataDriven Modeling Scientific Computation
Book SynopsisCombining scientific computing methods and algorithms with modern data analysis techniques, including basic applications of compressive sensing and machine learning, this book develops techniques that allow for the integration of the dynamics of complex systems and big data. MATLAB is used throughout for mathematical solution strategies.Trade ReviewThe book allows methods for dealing with large data to be explained in a logical process suitable for both undergraduate and post-graduate students ... With sport performance analysis evolving into deal with big data, the book forms a key bridge between mathematics and sport science * John Francis, University of Worcester *Table of ContentsI BASIC COMPUTATIONS AND VISUALIZATION; II DIFFERENTIAL AND PARTIAL DIFFERENTIAL EQUATIONS; III COMPUTATIONAL METHODS FOR DATA ANALYSIS; IV SCIENTIFIC APPLICATIONS
£999.99
Oxford University Press Complexity
Book SynopsisThe importance of complexity is well-captured by Hawking''s comment: Complexity is the science of the 21st century. From the movement of flocks of birds to the Internet, environmental sustainability, and market regulation, the study and understanding of complex non-linear systems has become highly influential over the last 30 years.In this Very Short Introduction, one of the leading figures in the field, John Holland, introduces the key elements and conceptual framework of complexity. From complex physical systems such as fluid flow and the difficulties of predicting weather, to complex adaptive systems such as the highly diverse and interdependent ecosystems of rainforests, he combines simple, well-known examples -- Adam Smith''s pin factory, Darwin''s comet orchid, and Simon''s ''watchmaker'' -- with an account of the approaches, involving agents and urn models, taken by complexity theory. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.Table of Contents1. Complex systems ; 2. Complex physical systems ; 3. Complex adaptive systems ; 4. Agents, networks, degree, and recirculation ; 5. Specialization and diversity ; 6. Emergence ; 7. Co-evolution and the formation of niches ; 8. Putting it all together ; Further reading ; Index
£9.49
Oxford University Press An Introduction to Quantitative Finance
Book SynopsisThe quantitative nature of complex financial transactions makes them a fascinating subject area for mathematicians of all types. This book gives an insight into financial engineering while building on introductory probability courses by detailing one of the most fascinating applications of the subject.Trade ReviewShort and to the point, uncluttered, unfancy, free of the faux rigor of most modern finance textbooks, written by a practitioner, that hits most of the essential principles of quantitative finance. * Emanuel Derman, author of My Life as a Quant *The author writes elegantly, and combines precision of expression with topical real-world examples in a way that makes this an exceptional work. * Frank Kelly, University of Cambridge *It is all too rare to find clear thinking, based on first principles, combined with practical understanding of financial markets. This is precisely what Stephen Blyth offers, drawing equally on his mathematical and statistical training and his career in quantitative finance. This book beautifully explains both the profound implications of no-arbitrage theory for the prices of fixed-income derivative securities, and also the pitfalls in practical applications. * John Y Campbell, Harvard University *Table of ContentsI INTRODUCTION AND PRELIMINARIES; II FORWARDS, SWAPS AND OPTIONS; III REPLICATION, RISK-NEUTRALITY AND THE FUNDAMENTAL THEOREM; IV INTEREST RATE OPTIONS; V THROUGH CONTINUOUS TIME
£42.99
Oxford University Press, USA Oxford Users Guide to Mathematics
Book SynopsisThe Oxford Users' Guide to Mathematics is one of the leading handbooks on mathematics available. It presents a comprehensive modern picture of mathematics and emphasises the relations between the different branches of mathematics, and the applications of mathematics in engineering and the natural sciences.Trade ReviewImmeasurably superior [to other encyclopedias on the market] * G. Friesecke, University of Warwick *Table of Contents0. Introduction: Formulas, Graphs, Tables ; 1. Analysis ; 2. Algebra ; 3. Geometry ; 4. Foundations of Mathematics ; 5. Calculus of Variations and Optimization ; 6. Stochastic Calculus - Mathematics of Chance ; 7. Numerical Mathematics ; 8. Appendices: History, Names, Index, Notations, Fundamental Constants
£999.99
CRC Press Analysis On Manifolds on Demand Of 51503 Advanced
Book SynopsisA readable introduction to the subject of calculus on arbitrary surfaces or manifolds. Accessible to readers with knowledge of basic calculus and linear algebra. Sections include series of problems to reinforce concepts.Table of Contents* The Algebra and Topology of Rn * Differentiation * Integration * Change of Variables * Manifolds * Differential Forms * Stokes Theorem * Closed Forms and Exact Forms * EpilogueLife Outside Rn
£999.99
Taylor & Francis Inc The Art Of Probability
Book SynopsisOffering accessible and nuanced coverage, Richard W. Hamming discusses theories of probability with unique clarity and depth. Topics covered include the basic philosophical assumptions, the nature of stochastic methods, and Shannon entropy. One of the best introductions to the topic, The Art of Probability is filled with unique insights and tricks worth knowing.Table of ContentsProbability * Introduction * Models in General * The Frequency Approach Rejected * The Single Event Model * Symmetry as the Measure of Probability * Independence * Subsets of a Sample Space * Conditional Probability * Randomness * Critique of the Model Some Mathematical Tools * Permutations * Combinations * The Binomial DistributionBernoulli Trials * Random Variables, Mean and the Expected Value * The Variance * The Generating Function * The Weak Law of Large Numbers * The Statistical Assignment of Probability * The Representation of Information Methods for Solving Problems * The Five Methods * The Total Sample Space and Fair Games * Enumeration * Historical Approach * Recursive Approach * Recursive Approach * The Method of Random Variables * Critique of the Notion of a Fair Game * Bernoulli Evaluation * Robustness * InclusionExclusion Principle Countably Infinite Sample Spaces * Introduction * Bernoulli Trials * On the Strategy to be Adopted * State Diagrams * Generating Functions of State Diagrams * Expanding a Rational Generating Function * Checking the Solution * Paradoxes Continuous Sample Spaces * A Philosophy of the Real Number System * Some First Examples * Some Paradoxes * The Normal Distribution * The Distribution of Numbers * Convergence to the Reciprocal Distribution * Random Times * Dead Times * Poisson Distribution in Time * Queing Theorem * Birth and Death Systems * Summary Uniform Probability Assignments Maximum Entropy * What is Entropy? * Shannons Entropy * Some Mathematical Properties of the Entropy Function * Some Simple Applications * The Maximum Entropy Principle Models of Probability * General Remarks * Maximum Likelihood in a Binary Choice * Von Mises Probability * The Mathematical Approach * The Statistical Approach * When The Mean Does Not Exist * Probability as an Extension of Logic * Di Finetti * Subjective Probability * Fuzzy Probability * Probability in Science * Complex Probability Some Limit Theorems * The Biomial Approximation for the case p=1/2 * Approximation by the Normal Distribution * Another Derivation of the Normal Distribution * Random Times * The Zipf Distribution * Summary An Essay on Simulation
£76.99
Pearson Education Discrete Mathematics for Computing
Book SynopsisThis book is a concise introduction to the key mathematical ideas that underpin computer science, continually stressing the application of discrete mathematics to computing. It is suitable for students with little or no knowledge of mathematics, and covers the key concepts in a simple and straightforward way.Table of Contents1. Introduction 2. Logic and Proof 3. Set Theory 4. Relations 5. Functions 6. Combinatorics 7. Graphs 8. Directed Graphs 9. Boolean Algebra Application: Designing a 2-Bit Adder
£70.99
The University of Chicago Press Fuchsian Groups
Book Synopsis
£76.00
University of Chicago Press Borrowed Knowledge
Book SynopsisUsing the explosion in the use of chaos theory, this book examines the relationship between science and other disciplines as well as the place of scientific knowledge within our broader culture.Trade Review"Over the next several decades, we will continue to see the issues raised in Borrowed Knowledge and the Challenge of Learning across Disciplines as important to understanding both the natural and human sciences." - Douglas Kiel, University of Texas at Dallas"
£38.00
The University of Chicago Press Constitutions of Matter Mathematically Modeling
Book SynopsisIn this work, Martin H. Krieger seeks to show what physicists really do behind the nearly impenetrable cloud of mathematical models they use as research tools. He argues that the technical details of these complex calculations also reveal key aspects of the physical properties they model.Table of ContentsList of Figures Preface 1: Modeling the Constitutions of Matter 2: Analysis: The Stability of Bulk Matter 3: Mathematics: Infinite Volume Limits and Thermodynamics 4: Formalism: Constituting Bulk Matter: Solutions to the Ising Model, and Duality in Those Solutions 5: Analysis: Generic, Formal, Model-Independent Accounts of the Constitution of Matter as Philosophical 6: Formalism: Technical Devices Doing the Work of Physics 7: Physics and Mathematics: Finding the Right Mechanism and Choosing the Right Functions 8: The Physics and the Mathematics Appendix: Two Papers by Lars Onsager A: Electrostatic Interaction of Molecules (1939) B: Crystal Statistics, Part I: A Two-Dimensional Model with an Order-Disorder Transition (1944) Notes References Index
£98.80
The University of Chicago Press More Concise Algebraic Topology
Book SynopsisWith firm foundations dating only from the 1950s, algebraic topology is a relatively young area of mathematics. This title addresses the course material, such as fundamental groups, covering spaces, the basics of homotopy theory, and homology and cohomology. It covers topics that are useful for algebraic topologists.Trade Review"All researchers in algebraic topology should have at least a passing acquaintance with the material treated in this book, much of which does not appear in any of the standard texts." (Kathryn Hess, Ecole Polytechnique Federale de Lausanne)"
£61.75
The University of Chicago Press How Our Days Became Numbered Risk and the Rise
Book SynopsisExplains how life insurance corporations shaped how we understand American life spans and Americans as risks
£24.70
The University of Chicago Press Reactionary Mathematics
Book SynopsisTrade Review“The complex relationship between tradition and modernization is the pulsing heart of this engaging book. Beside a valuable historical analysis, Reactionary Mathematics offers an interesting and useful synthesis vision to help us understand, in these times of rapid and convulsive transformation, the mathematics of the present and, most importantly, the reasons for the mathematics that will come.” * Nature *“Reactionary Mathematics is an ambitious book that is more than just a history of mathematics but an episode in the history of reason, furnished with a delightful display of different kinds of evidence, from archival documents to political satires to theological treatises to paintings to mathematics textbooks. . . . [It] is a deftly written and timely book brimming with empirical, conceptual and historiographical insights.” * British Journal for the History of Science *"For anyone interested in the "politics of mathematical modernity," this book shows how allegiances to particular types or styles of mathematics may indeed be related to Neapolitan academicians' personal responses to the urgent political pressures of their day." * Choice *“One notable strength of Mazzotti’s book is its ability to transition seamlessly between different levels of analysis. It connects an in-depth historical exploration of a specific local context, such as Naples, with the social and political constraints unique to that site. Simultaneously, it addresses major upheavals and broad conceptual changes such as the evolution of purity, rigor, and abstraction and the very definition of 'modernity' in mathematics. In doing so, the book tackles a critical methodological challenge in the social history of mathematics, bridging the gap between the claim of universality associated with mathematical knowledge and the intricate study of the local contexts and social practices that underpin the production of such knowledge. Mazzotti’s thought-provoking narrative not only demonstrates . . . that mathematics is intimately connected to its cultural, social and political context, but it also prompts readers to consider new avenues of research.” * Historia Mathematica *“Mazzotti offers us a superbly crafted historical study of the interweaving of mathematics, politics, religion, social order, and even olive oil presses in the Kingdom of Naples around 1800. This gives him a distinctive, striking platform from which to address big questions: the relationship between science and politics, the connections between mathematics and modernity, and how we should understand mathematics’ past.” -- Donald MacKenzie, University of Edinburgh“Mazzotti has written a fascinating case study of ‘mathematical resistance’ in late eighteenth- and nineteenth-century Naples. On the most fundamental level, the book’s exploration of ‘mathematics as politics’ observes the reciprocal interactions between the mathematical imagination of historical actors and their sociopolitical circumstances. Mazzotti’s keen attention to the political actors themselves tells a very human story of mathematics, and of the events and changes that led to the development of this seemingly quixotic Neapolitan resistance to mathematical modernity.” -- Sean Cocco, Trinity College“A landmark account of Neapolitan reactionary mathematics in context that contributes insightfully to the histories of Naples, reaction, and mathematics in their separate and interacting respects.” -- Michael Barany, University of EdinburghTable of ContentsIntroduction: Mathematics as Social Order 1 Adventures of the Analytic Reason 2 Mathematics at the Barricades 3 Empire of Analysis 4 The Shape of the Kingdom Intermezzo: Algorithm or Intuition? 5 The Geometry of Reaction 6 A Scientific Counterrevolution 7 A Reactionary Reason 8 Mathematical Purity as Return to Order Notes Bibliography Index
£85.50
The University of Chicago Press Reactionary Mathematics A Genealogy of Purity
Book SynopsisTrade Review“The complex relationship between tradition and modernization is the pulsing heart of this engaging book. Beside a valuable historical analysis, Reactionary Mathematics offers an interesting and useful synthesis vision to help us understand, in these times of rapid and convulsive transformation, the mathematics of the present and, most importantly, the reasons for the mathematics that will come.” * Nature *“Reactionary Mathematics is an ambitious book that is more than just a history of mathematics but an episode in the history of reason, furnished with a delightful display of different kinds of evidence, from archival documents to political satires to theological treatises to paintings to mathematics textbooks. . . . [It] is a deftly written and timely book brimming with empirical, conceptual and historiographical insights.” * British Journal for the History of Science *"For anyone interested in the "politics of mathematical modernity," this book shows how allegiances to particular types or styles of mathematics may indeed be related to Neapolitan academicians' personal responses to the urgent political pressures of their day." * Choice *“One notable strength of Mazzotti’s book is its ability to transition seamlessly between different levels of analysis. It connects an in-depth historical exploration of a specific local context, such as Naples, with the social and political constraints unique to that site. Simultaneously, it addresses major upheavals and broad conceptual changes such as the evolution of purity, rigor, and abstraction and the very definition of 'modernity' in mathematics. In doing so, the book tackles a critical methodological challenge in the social history of mathematics, bridging the gap between the claim of universality associated with mathematical knowledge and the intricate study of the local contexts and social practices that underpin the production of such knowledge. Mazzotti’s thought-provoking narrative not only demonstrates . . . that mathematics is intimately connected to its cultural, social and political context, but it also prompts readers to consider new avenues of research.” * Historia Mathematica *“Mazzotti offers us a superbly crafted historical study of the interweaving of mathematics, politics, religion, social order, and even olive oil presses in the Kingdom of Naples around 1800. This gives him a distinctive, striking platform from which to address big questions: the relationship between science and politics, the connections between mathematics and modernity, and how we should understand mathematics’ past.” -- Donald MacKenzie, University of Edinburgh“Mazzotti has written a fascinating case study of ‘mathematical resistance’ in late eighteenth- and nineteenth-century Naples. On the most fundamental level, the book’s exploration of ‘mathematics as politics’ observes the reciprocal interactions between the mathematical imagination of historical actors and their sociopolitical circumstances. Mazzotti’s keen attention to the political actors themselves tells a very human story of mathematics, and of the events and changes that led to the development of this seemingly quixotic Neapolitan resistance to mathematical modernity.” -- Sean Cocco, Trinity College“A landmark account of Neapolitan reactionary mathematics in context that contributes insightfully to the histories of Naples, reaction, and mathematics in their separate and interacting respects.” -- Michael Barany, University of EdinburghTable of ContentsIntroduction: Mathematics as Social Order 1 Adventures of the Analytic Reason 2 Mathematics at the Barricades 3 Empire of Analysis 4 The Shape of the Kingdom Intermezzo: Algorithm or Intuition? 5 The Geometry of Reaction 6 A Scientific Counterrevolution 7 A Reactionary Reason 8 Mathematical Purity as Return to Order Notes Bibliography Index
£30.00
The University of Chicago Press Inference and Representation
Book SynopsisThe first comprehensive defense of an inferential conception of scientific representation with applications to art and epistemology. Mauricio Suárez develops a conception of representation that delivers a compelling account of modeling practice. He begins by discussing the history and methodology of model building, charting the emergence of what he calls the modeling attitude, a nineteenth-century and fin de siècle development. Prominent cases of models, both historical and contemporary, are used as benchmarks for the accounts of representation considered throughout the book. After arguing against reductive naturalist theories of scientific representation, Suárez sets out his own account: a case for pluralism regarding the means of representation and minimalism regarding its constituents. He shows that scientists employ a variety of modeling relations in their representational practicewhich helps them to assess the accuracy of their representationswhile demonstrating that there is Trade Review“Beautifully bringing together historical and contemporary research on representations in science with themes from aesthetics and the philosophy of art, Suárez’s book is an outstanding interdisciplinary contribution to the philosophy of science. It is essential reading for anyone interested in modeling practices, their connections with the arts, and what this insightful combination of science, art, and practice might bring to the epistemology of science.” -- Chiara Ambrosio, University College London“Suárez has been a leading voice in the philosophy of modeling for the last two decades. This book is a wonderfully clear and compelling presentation of his ‘inferentialist theory of representation.’ The book will be a central resource for advanced undergraduate and graduate students, and required reading for every philosopher of science.” -- Martin Kusch, University of Vienna“Suárez has written a brilliant account of the inferential conception of scientific representation, its historical roots, and its application to contemporary scientific modeling. What stands out is his deflationist approach toward metaphysics, the streamlined account in terms of representational force and inferential capacity, and the connection to the phenomenology of artistic perception. A magnificent work.” -- Bas C. van Fraassen, Princeton University“Inference and Representation makes a strong case for an inferential conception of scientific modeling. It argues that the effectiveness of a model lies in its providing an orientation that facilitates fruitful scientific reasoning. It is a valuable contribution to the literature on modeling.” -- Catherine Z. Elgin, Harvard University“This much-anticipated book is the culmination of over twenty years of pioneering work by Suárez. It is a must-read for anyone wishing to think carefully about models and representations in science. Suárez gives a careful, insightful, and comprehensive exposition and defence of his inferential conception of representation, and he now develops it in an expressly pragmatist direction with a helpful focus on the uses of models. What emerges is a compelling deflationary account of ‘representation without metaphysics,’ engaging fully with the complex realities of inferential practices. Suárez argues that common notions of representation based on similarity or isomorphism are ill-fitting and inadequate, and shows how the activity of representation pervades all sorts of scientific practices. His discussion is clear and systematic throughout, and successfully combines philosophical acuity and historical awareness. In the course of presenting his own position he also gives a fair, critical summing-up and evaluation of the considerable existing literature on models and representation. This landmark work should appeal to philosophers, historians of science and practicing scientists alike.” -- Hasok Chang, University of Cambridge“During the past quarter-century, philosophers of science have come to appreciate the importance of models and modeling practices in the sciences. Suárez has been one of the pioneers in this work, specifically in investigating how models represent aspects of the world. The present book is the culmination of insights accumulated over more than two decades. It provides a convincing account of representation, one emphasizing the uses to which models are put and the inferences they allow. Suárez develops his views with welcome precision, focuses on an admirably wide range of types of models, and offers numerous insights about the historical development of modeling. His final two chapters explore the notion of representation more broadly, with a lucid and well-informed discussion of representation in visual art, and draw out the implications for several large issues in the philosophy of science. This book is an outstanding contribution to the field.” -- Philip Kitcher, Columbia UniversityTable of ContentsPreface and Acknowledgments 1 Introducing Scientific Representation Part I Modeling 2 The Modeling Attitude: A Genealogy 3 Models and Their Uses Part II Representation 4 Theories of Representation 5 Against Substance 6 Scientific Theories and Deflationary Representation 7 Representation as Inference Part III Implications 8 Lessons from the Philosophy of Art 9 Scientific Epistemology Transformed Notes References Index
£26.60
The University of Chicago Press Science and an African Logic
Book SynopsisDoes two and two equal four? Ask someone and they should answer yes. An equation such as this seems the very definition of certainty, but is it? Helen Verran describes how she went from the conclusion that logic and maths are culturally relative, to a new understanding of all generalizing logic.
£26.60
