Mathematics

10967 books

$88.18

by Stanislas Dehaene (Author)The Number Sense is an enlightening exploration of the mathematical mind. Describing experiments that show that human infants have a rudimentary number sense, Stanislas Dehaene suggests that this sense is as basic as our perception of color, and that it is wired into the brain. Dehaene shows that it was the invention of symbolic systems of numerals that started us on the climb to higher mathematics. A fascinating look at the crossroads where numbers and neurons in...

Collected Works: Volume I: Publications 1929-1936 - Paperback

$149.40

by Kurt Godel (Author), Kurt G. del (Author), Solomon Feferman (Editor)Kurt Gödel (1906-1978) was the most outstanding logician of the twentieth century, noted for Gödel's theorem, a hallmark of modern mathematics. The Collected Works will include both published and unpublished writings, in three or more volumes. The first two volumes will consist essentially of Gödel's published works (both in the original and translation), and the third volume will feature unpublished articles, lectures, an...

$189.00

by Kurt Godel (Author), S. Feferman (Editor), John W. Dawson (Editor)Kurt Gödel (1906-1978) was the most outstanding logician of the twentieth century, famous for his hallmark works on the completeness of logic, the incompleteness of number theory and stronger systems, and the consistency of the axiom of choice and the continuum hypothesis. He is also noted for his work on constructivity, the decision problem, the foundations of computation theory, unusual cosmological models, and for the str...

Wonders of Numbers: Adventures in Mathematics, Mind, and Meaning - Paperback

$28.99

by Clifford a. Pickover (Author)Who were the five strangest mathematicians in history? What are the ten most interesting numbers? Jam-packed with thought-provoking mathematical mysteries, puzzles, and games, Wonders of Numbers will enchant even the most left-brained of readers. Hosted by the quirky Dr. Googol--who resides on a remote island and occasionally collaborates with Clifford Pickover--Wonders of Numbers focuses on creativity and the delight of discovery. Here is a potpourri of common...

The Philosophy of Mathematics Today - Hardcover

$188.10

by Matthias Schirn (Editor)This comprehensive volume gives a panorama of the best current work in this lively field, through twenty specially written essays by the leading figures in the field. All essays deal with foundational issues, from the nature of mathematical knowledge and mathematical existence to logical consequence, abstraction, and the notions of set and natural number. The contributors also represent and criticize a variety of prominent approaches to the philosophy of mathematics...

Foundations Without Foundationalism: A Case for Second-Order Logic - Paperback

$126.54

by Stewart Shapiro (Author)The central contention of this book is that second-order logic has a central role to play in laying the foundations of mathematics. In order to develop the argument fully, the author presents a detailed description of higher-order logic, including a comprehensive discussion of its semantics. He goes on to demonstrate the prevalence of second-order concepts in mathematics and the extent to which mathematical ideas can be formulated in higher-order logic. He also show...

Proving in the Elementary Mathematics Classroom - Hardcover

$88.92

by Andreas J. Stylianides (Author)Although proving is core to mathematics as a sense-making activity, it currently has a marginal place in elementary classrooms internationally. Blending research with practical perspectives, this book addresses what it would take to elevate the place of proving at elementary school. The book uses classroom episodes from two countries to examine different kinds of proving tasks and the proving activity they can generate in the elementary classroom. It examines...

Mathematics of Sex: How Biology and Society Conspire to Limit Talented Women and Girls - Hardcover

$92.34

by Stephen J. Ceci (Author)Nearly half of all physicians and biologists are females, as are the majority of new psychologists, veterinarians, and dentists, suggesting that women have achieved equality with men in the workforce. But the ranks of professionals in math-intensive careers remain lopsidedly male; up to 93% of tenure-track academic positions in some of the most mathematically-oriented fields are held by men. Three main explanations have been advanced to explain the dearth of women i...

$116.28

by Glen Cowan (Author)This book is a guide to the practical application of statistics to data analysis in the physical sciences. It is primarily addressed at students and professionals who need to draw quantitative conclusions from experimental data. Although most of the examples are taken from particle physics, the material is presented in a sufficiently general way as to be useful to people from most branches of the physical sciences. The first part of the book describes the basic tools of ...

Categories for Quantum Theory: An Introduction - Paperback

$111.15

by Chris Heunen (Author), Jamie Vicary (Author)Monoidal category theory serves as a powerful framework for describing logical aspects of quantum theory, giving an abstract language for parallel and sequential composition, and a conceptual way to understand many high-level quantum phenomena. This text lays the foundation for this categorical quantum mechanics, with an emphasis on the graphical calculus which makes computation intuitive. Biproducts and dual objects are introduced and used to mo...

Combinatorics: Ancient & Modern - Paperback

$95.76

by Robin Wilson (Editor), John J. Watkins (Editor)Who first presented Pascal's triangle? (It was not Pascal.)Who first presented Hamiltonian graphs? (It was not Hamilton.)Who first presented Steiner triple systems? (It was not Steiner.) The history of mathematics is a well-studied and vibrant area of research, with books and scholarly articles published on various aspects of the subject. Yet, the history of combinatorics seems to have been largely overlooked. This book goes some way to redres...

Oxford Classic Texts in the Physical Sciences - Paperback

$160.38

by R. Hill (Author), Rodney Hill (Author)Written by one of the leaders in the field and first published in 1950, this book remains a classic treatment of the mathematical theory of plastic materials. Number of Pages: 366 Dimensions: 0.83 x 9.21 x 6.24 IN Illustrated: Yes Publication Date: November 12, 1998

$169.29

by Jeremy Gray (Author), David Rowe (Author)Few problems in mathematics have had the status of those posed by David Hilbert in 1900. Mathematicians have made their reputations by solving some of them like Fermat's last theorem, but several remain unsolved including the Riemann Hypotheses, which has eluded all the great minds of this century. A hundred years later, this book takes a fresh look at the problems, the man who set them, and the reasons for their lasting impact on the mathematics of...

Oxford Texts in Applied and Engineering Mathematics - Hardcover

$123.12

by Ian John Sobey (Author), I. J. Sobey (Author)One of the major achievements in fluid mechanics in the last quarter of the twentieth century has been the development of an asymptotic description of perturbations to boundary layers known generally as 'triple deck theory'. These developments have had a major impact on our understanding of laminar fluid flow, particularly laminar separation. It is also true that the theory rests on three quarters of a century of development of boundary layer th...

Chaos and Time-Series Analysis - Paperback

$129.96

by J. C. Sprott (Author), Julien C. Sprott (Author)This book provides a broad coverage and has acessible style of exposition. Emphasis is on physical concepts and useful results, rather than rigorous mathematical proofs. Completeing this volume is free and user-friendly software. Number of Pages: 507 Dimensions: 1.09 x 9.12 x 6.36 IN Illustrated: Yes Publication Date: January 16, 2003

Finite Element and Boundary Element Applications in Quantum Mechanics - Paperback

$188.10

by Ramdas Ram-Mohan (Author), L. Ramdas Ram-Mohan (Author)Starting from a clear, concise introduction, the powerful finite element and boundary element methods of engineering are developed for application to quantum mechanics. The reader is led through illustrative examples displaying the strengths of these methods using application to fundamental quantum mechanical problems and to the design/simulation of quantum nanoscale devices. Number of Pages: 624 Dimensions: 1.28 x 9.12 x 6.34 IN Illus...

A First Course in Coding Theory (Paperback) - Paperback

$179.55

by Raymond Hill (Author)Algebraic coding theory is a new and rapidly developing subject, popular for its many practical applications and for its fascinatingly rich mathematical structure. This book provides an elementary yet rigorous introduction to the theory of error-correcting codes. Based on courses given by the author over several years to advanced undergraduates and first-year graduated students, this guide includes a large number of exercises, all with solutions, making the book highly...

The Search for Certainty: A Philosophical Account of Foundations of Mathematics - Hardcover

$124.83

by Marcus Giaquinto (Author), M. Giaquinto (Author)Marcus Giaquinto tells the compelling story of one of the great intellectual adventures of the modern era: the attempt to find firm foundations for mathematics. From the late nineteenth century to the present day, this project has stimulated some of the most original and influential work in logic and philosophy. Number of Pages: 330 Dimensions: 0.86 x 9.58 x 6.52 IN Publication Date: October 10, 2002

A Dictionary of Weights, Measures, and Units - Paperback

$25.90

by Donald Fenna (Author)This comprehensive and authoritative dictionary provides clear definitions of units, prefixes, and styles of weights and measures within the Système International (SI), as well as traditional, and industry-specific units. It also includes general historical and scientific background, covering the development of the sequential definitions and sizing of units. This new reference work will prove invaluable to professional scientists, engineers, technicians as well as to s...

Mathematicians and Their Gods: Interactions Between Mathematics and Religious Beliefs - Hardcover

$107.73

by Snezana Lawrence (Author)To 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 whichcontinues 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. ...

An Introduction to Clifford Algebras and Spinors - Hardcover

$188.10

by Jayme Vaz Jr (Author), Roldao Da Rocha Jr (Author)This text explores how Clifford algebras and spinors have been sparking a collaboration and bridging a gap between Physics and Mathematics. This collaboration has been the consequence of a growing awareness of the importance of algebraic and geometric properties in many physical phenomena, and of the discovery of common ground through various touch points: relating Clifford algebras and the arising geometry to so-called spinors, and to thei...

$179.55

by Edward Witten (Author)This volume contains a collection of papers based on lectures delivered by distinguished mathematicians at Clay Mathematics Institute events over the past few years. It is intended to be the first in an occasional series of volumes of CMI lectures. Although not explicitly linked, the topics in this inaugural volume have a common flavour and a common appeal to all who are interested in recent developments in geometry. They are intended to be accessible to all who work ...

Lie Groups: An Introduction Through Linear Groups - Paperback

$188.10

by Wulf Rossmann (Author)This book is an introduction to the theory of Lie groups and their representations at the advanced undergraduate or beginning graduate level. It covers the essentials of the subject starting from basic undergraduate mathematics. The correspondence between linear Lie groups and Lie algebras is developed in its local and global aspects. The classical groups are analyzed in detail, first with elementary matrix methods, then with the help of the structural tools typical o...

Algebraic Models in Geometry - Paperback

$165.87

by Yves Felix (Author), John Oprea (Author), Daniel Tanre (Author)Rational homotopy is a very powerful tool for differential topology and geometry. This text aims to provide graduates and researchers with the tools necessary for the use of rational homotopy in geometry. Algebraic Models in Geometry has been written for topologists who are drawn to geometrical problems amenable to topological methods and also for geometers who are faced with problems requiring topological approaches and thus n...

Riemannian Holonomy Groups and Calibrated Geometry - Paperback

$188.10

by Dominic D. Joyce (Author)This graduate level text covers an exciting and active area of research at the crossroads of several different fields in Mathematics and Physics. In Mathematics it involves Differential Geometry, Complex Algebraic Geometry, Symplectic Geometry, and in Physics String Theory and Mirror Symmetry. Drawing extensively on the author's previous work, the text explains the advanced mathematics involved simply and clearly to both mathematicians and physicists. Starting with...

Atoms, Mechanics, and Probability: Ludwig Boltzmann's Statistico-Mechanical Writings - An Exegesis - Hardcover

$138.51

by Olivier Darrigol (Author)One of the pillars of modern science, statistical mechanics, owes much to one man, the Austrian physicist Ludwig Boltzmann (1844-1906). As a result of his unusual working and writing styles, his enormous contribution remains little read and poorly understood. The purpose of this book is to make the Boltzmann corpus more accessible to physicists, philosophers, and historians, and so give it new life. The means are introductory biographical and historical materials, ...

$83.77

by McMaster McCluskey (Author)Analysis underpins calculus, much as calculus underpins virtually all mathematical sciences. A sound understanding of analysis' results and techniques is therefore valuable for a wide range of disciplines both within mathematics itself and beyond its traditional boundaries. This text seeks to develop such an understanding for undergraduate students on mathematics and mathematically related programmes. Keenly aware of contemporary students' diversity of motivation...

$171.00

by Fernando Rodriguez Villegas (Author)This graduate text, based on years of teaching experience, is intended for first or second year graduate students in pure mathematics. The main goal of the text is to show how the computer can be used as a tool for research in number theory through numerical experimentation. The book contains many examples of experiments in binary quadratic forms, zeta functions of varieties over finite fields, elementary class field theory, elliptic units, modular forms...

$61.54

by Paolo Mancosu (Author)Paolo Mancosu provides an original investigation of historical and systematic aspects of the notions of abstraction and infinity and their interaction. A familiar way of introducing concepts in mathematics rests on so-called definitions by abstraction. An example of this is Hume's Principle, which introduces the concept of number by stating that two concepts have the same number if and only if the objects falling under each one of them can be put in one-one correspond...

Statistical Thinking from Scratch: A Primer for Scientists - Paperback

$111.15

by Edge (Author)Researchers across the natural and social sciences find themselves navigating tremendous amounts of new data. Making sense of this flood of information requires more than the rote application of formulaic statistical methods. The premise of Statistical Thinking from Scratch is that students who want to become confident data analysts are better served by a deep introduction to a single statistical method than by a cursory overview of many methods. In particular, this book focus...

Set Theory and Its Philosophy: A Critical Introduction - Paperback

$71.80

by Michael Potter (Author)Michael Potter presents a comprehensive new philosophical introduction to set theory. Anyone wishing to work on the logical foundations of mathematics must understand set theory, which lies at its heart. What makes the book unique is that it interweaves a careful presentation of the technical material with a penetrating philosophical critique. Potter does not merely expound the theory dogmatically but at every stage discusses in detail the reasons that can be offered...

Mathematical Theory of Quantum Fields - Paperback

$143.64

by Huzihiro Araki (Author)This is an introduction to the mathematical foundations of quantum field theory, using operator algebraic methods and emphasizing the link between the mathematical formulations and related physical concepts. It starts with a general probabilistic description of physics, which encompasses both classical and quantum physics. The basic key physical notions are clarified at this point. It then introduces operator algebraic methods for quantum theory, and goes on to discu...