Differential and Integral Calculus

Author: Richard Courant

Publisher: John Wiley & Sons

ISBN: 1118031482

Category: Mathematics

Page: 694

View: 1133

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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, Vol. One

Author: Richard Courant

Publisher: Ishi Press

ISBN: 9784871878388

Category: Mathematics

Page: 670

View: 8689

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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. 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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The Differential and Integral Calculus

Containing Differentiation, Integration, Development, Series, Differential Equations, Differences, Summation, Equations of Differences, Calculus of Variations, Definite Integrals, -with Applications to Algebra, Plane Geometry, Solid Geometry, and Mechanics Also, Elementary Illustrations of the Differential and Integral Calculus

Author: Augustus De Morgan

Publisher: N.A

ISBN: N.A

Category: Calculus, Integral

Page: 849

View: 6523

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Introduction to the Calculus of Variations

Author: Hans Sagan

Publisher: Courier Corporation

ISBN: 048613802X

Category: Mathematics

Page: 480

View: 6696

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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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Regular Polytopes

Author: H. S. M. Coxeter

Publisher: Courier Corporation

ISBN: 0486141586

Category: Mathematics

Page: 368

View: 9975

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Foremost book available on polytopes, incorporating ancient Greek and most modern work. Discusses polygons, polyhedrons, and multi-dimensional polytopes. Definitions of symbols. Includes 8 tables plus many diagrams and examples. 1963 edition.
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