Differential and Integral Calculus

Author: Richard Courant

Publisher: John Wiley & Sons

ISBN: 1118031482

Category: Mathematics

Page: 694

View: 2237

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Volume 2 of the classic advanced calculus text Richard Courant's Differential and Integral Calculus is considered an essential text for those working toward a career in physics or other applied math. Volume 2 covers the more advanced concepts of analytical geometry and vector analysis, including multivariable functions, multiple integrals, integration over regions, and much more, with extensive appendices featuring additional instruction and author annotations. The included supplement contains formula and theorem lists, examples, and answers to in-text problems for quick reference.
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Differential and Integral Calculus

Author: Richard Courant

Publisher: Ishi Press

ISBN: 9784871878357

Category: Mathematics

Page: 694

View: 4616

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This is one of the most important and influential books on calculus ever written. It has been reprinted more than twenty times and translated into several other languages, including Russian, and published in the Soviet Union and many other places. We especially want to thank Marvin Jay Greenberg, Emeritus Professor of Mathematics, University of California at Santa Cruz, for his Appendix on Infinitesimals, which includes recent discoveries on Hyperreals and Nilpotent Infinitesimals, and for his bibliography and references, which include up-to-date references to current publications in 2010. This foreword, which includes new mathematical discoveries, is included in Volume One of this work. A professor of mathematics writes: "I've enjoyed with great pleasure your foreword, discovering many interesting things about Courant's life and his thoughts. In particular, your citations about the antithesis between intuition and rigor were very illuminating, because it corresponds to the methodological thread I'm trying to follow developing the theory of Fermat reals. "Infinitesimals without "mysticism", explicit or fogged into unclear logical methods, seems possible. Now, I think we can make a step further, because the rigor increases our possibility to understand."
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Differential and Integral Calculus

Author: Richard Courant

Publisher: John Wiley & Sons

ISBN: 1118031490

Category: Mathematics

Page: 640

View: 6678

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The classic introduction to the fundamentals of calculus Richard Courant's classic text Differential and Integral Calculus is an essential text for those preparing for a career in physics or applied math. Volume 1 introduces the foundational concepts of "function" and "limit", and offers detailed explanations that illustrate the "why" as well as the "how". Comprehensive coverage of the basics of integrals and differentials includes their applications as well as clearly-defined techniques and essential theorems. Multiple appendices provide supplementary explanation and author notes, as well as solutions and hints for all in-text problems.
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Combinatorial Theory

Author: Marshall Hall

Publisher: John Wiley & Sons

ISBN: 9780471315186

Category: Mathematics

Page: 464

View: 3130

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Includes proof of van der Waerden's 1926 conjecture on permanents, Wilson's theorem on asymptotic existence, and other developments in combinatorics since 1967. Also covers coding theory and its important connection with designs, problems of enumeration, and partition. Presents fundamentals in addition to latest advances, with illustrative problems at the end of each chapter. Enlarged appendixes include a longer list of block designs.
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Introduction to the Calculus of Variations

Author: Hans Sagan

Publisher: Courier Corporation

ISBN: 048613802X

Category: Mathematics

Page: 480

View: 307

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Provides a thorough understanding of calculus of variations and prepares readers for the study of modern optimal control theory. Selected variational problems and over 400 exercises. Bibliography. 1969 edition.
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