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检索条件"丛书名=Interscience tracts in pure and applied mathematics,"

共 22 条记录，以下是1-10 订阅

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The mathematics of Infinity: A Guide to Great Ideas, Second Edition 2

引用

丛书名： pure and applied mathematics: A Wiley-interscience Series of Texts, Monographs, and tracts

2012年

作者： Theodore G. Faticoni

ISBN: (数字)9781118243879

ISBN: (纸本)9781118204481

Praise for the First Edition ". . . an enchanting book for those people in computer science or mathematics who are fascinated by the concept of infinity."—Computing Reviews ". . . a very well written introduction to set theory . . . easy to read and well suited for self-study . . . highly recommended."—Choice The concept of infinity has fascinated and confused mankind for centuries with theories and ideas that cause even seasoned mathematicians to wonder. The mathematics of Infinity: A Guide to Great Ideas, Second Edition uniquely explores how we can manipulate these ideas when our common sense rebels at the conclusions we are drawing. Continuing to draw from his extensive work on the subject, the author provides a user-friendly presentation that avoids unnecessary, in-depth mathematical rigor. This Second Edition provides important coverage of logic and sets, elements and predicates, cardinals as ordinals, and mathematical physics. Classic arguments and illustrative examples are provided throughout the book and are accompanied by a gradual progression of sophisticated notions designed to stun readers' intuitive view of the world. With an accessible and balanced treatment of both concepts and theory, the book focuses on the following topics: Logic, sets, and functions Prime numbers Counting infinite sets Well ordered sets Infinite cardinals Logic and meta-mathematics Inductions and numbers Presenting an intriguing account of the notions of infinity, The mathematics of Infinity: A Guide to Great Ideas, Second Edition is an insightful supplement for mathematics courses on set theory at the undergraduate level. The book also serves as a fascinating reference for mathematically inclined individuals who are interested in learning about the world of counterintuitive mathematics.

关键词： Number Theory

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Linear algebra and its applications / 2nd ed.

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2007年

作者： Lax Peter D.

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The mathematics of infinity : a guide to great ideas /

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2006年

作者： Faticoni Theodore G.

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Computational Methods of Linear Algebra, Second Edition 2nd ed.

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丛书名： pure and applied mathematics: A Wiley-interscience Series of Texts, Monographs and tracts

2005年

作者： Granville Sewell

ISBN: (数字)9780471742142

ISBN: (纸本)9780471735793

Learn to write programs to solve linear algebraic problems The Second Edition of this popular textbook provides a highly accessible introduction to the numerical solution of linear algebraic problems. Readers gain a solid theoretical foundation for all the methods discussed in the text and learn to write FORTRAN90 and MATLAB(r) programs to solve problems. This new edition is enhanced with new material and pedagogical tools, reflecting the author's hands-on teaching experience, including: * A new chapter covering modern supercomputing and parallel programming * Fifty percent more examples and exercises that help clarify theory and demonstrate real-world applications * MATLAB(r) versions of all the FORTRAN90 programs * An appendix with answers to selected problems The book starts with basic definitions and results from linear algebra that are used as a foundation for later chapters. The following four chapters present and analyze direct and iterative methods for the solution of linear systems of equations, linear least-squares problems, linear eigenvalue problems, and linear programming problems. Next, a chapter is devoted to the fast Fourier transform, a topic not often covered by comparable texts. The final chapter features a practical introduction to writing computational linear algebra software to run on today's vector and parallel supercomputers. Highlighted are double-precision FORTRAN90 subroutines that solve the problems presented in the text. The subroutines are carefully documented and readable, allowing students to follow the program logic from start to finish. MATLAB(r) versions of the codes are listed in an appendix. Machine-readable copies of the FORTRAN90 and MATLAB(r) codes can be downloaded from the text's accompanying Web site. With its clear style and emphasis on problem solving, this is a superior textbook for upper-level undergraduates and graduate students.

关键词： Algebras Linear Textbooks.

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The numerical solution of ordinary and partial differential equations / 2nd ed.

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2005年

作者： Sewell Granville.

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Principles of Differential Equations 1

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丛书名： pure and applied mathematics: a Wiley-interscience series of texts, monographs, and tracts,pure and applied mathematics (John Wiley & Sons : unnumbered)

2004年

作者： Nelson G. Markley

ISBN: (数字)9781118033289

ISBN: (纸本)9780471649564

An accessible, practical introduction to the principles of differential equations The field of differential equations is a keystone of scientific knowledge today, with broad applications in mathematics, engineering, physics, and other scientific fields. Encompassing both basic concepts and advanced results, Principles of Differential Equations is the definitive, hands-on introduction professionals and students need in order to gain a strong knowledge base applicable to the many different subfields of differential equations and dynamical systems. Nelson Markley includes essential background from analysis and linear algebra, in a unified approach to ordinary differential equations that underscores how key theoretical ingredients interconnect. Opening with basic existence and uniqueness results, Principles of Differential Equations systematically illuminates the theory, progressing through linear systems to stable manifolds and bifurcation theory. Other vital topics covered include: Basic dynamical systems concepts Constant coefficients Stability The Poincaré return map Smooth vector fields As a comprehensive resource with complete proofs and more than 200 exercises, Principles of Differential Equations is the ideal self-study reference for professionals, and an effective introduction and tutorial for students.

关键词： Differential equations.

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Galois theory /

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2004年

作者： Cox David A.

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An Introduction to Metric Spaces and Fixed Point Theory 1

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丛书名： pure and applied mathematics (Wiley-interscience series of texts, monographs, and tracts)

2001年

作者： Khamsi, Mohamed A. Kirk, William A. Khamsi

Presents up-to-date Banach space results. Features an extensive bibliography for outside reading. Provides detailed exercises that elucidate more introductory material.

ISBN: (数字)9781118033074

ISBN: (纸本)9780471418252

Presents up-to-date Banach space results. Features an extensive bibliography for outside reading. Provides detailed exercises that elucidate more introductory material.

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Lebesgue Measure and Integration 1

引用

丛书名： pure and applied mathematics: A Wiley-interscience Series of Texts, Monographs and tracts

1997年

作者： Frank Burk

ISBN: (数字)9781118032732

ISBN: (纸本)9780471179788

A superb text on the fundamentals of Lebesgue measure and integration. This book is designed to give the reader a solid understanding of Lebesgue measure and integration. It focuses on only the most fundamental concepts, namely Lebesgue measure for R and Lebesgue integration for extended real-valued functions on R. Starting with a thorough presentation of the preliminary concepts of undergraduate analysis, this book covers all the important topics, including measure theory, measurable functions, and integration. It offers an abundance of support materials, including helpful illustrations, examples, and problems. To further enhance the learning experience, the author provides a historical context that traces the struggle to define "area"and "area under a curve" that led eventually to Lebesgue measure and integration. Lebesgue Measure and Integration is the ideal text for an advanced undergraduate analysis course or for a first-year graduate course in mathematics, statistics, probability, and other applied areas. It will also serve well as a supplement to courses in advanced measure theory and integration and as an invaluable reference long after course work has been completed.

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Abstract and concrete categories: the joy of cats free web version

Abstract and concrete categories: the joy of cats

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丛书名： pure and applied mathematics: A Wiley-interscience Series of Texts, Monographs and tracts

1990年

作者： Jiri Adamek Horst Herrlich George E. Strecker

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