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Differential and Integral Calculus, Volume 1 Richard Courant, 1888-1972 (New York University)

Differential and Integral Calculus, Volume 1 By Richard Courant, 1888-1972 (New York University)

Differential and Integral Calculus, Volume 1 by Richard Courant, 1888-1972 (New York University)

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Differential and Integral Calculus, Volume 1 Summary

Differential and Integral Calculus, Volume 1 by Richard Courant, 1888-1972 (New York University)

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.

About Richard Courant, 1888-1972 (New York University)

Richard Courant (1888-1972) obtained his doctorate at the University of Goettingen in 1910. Here, he became Hilbert's assistant. He returned to Goettingen to continue his research after World War I, and founded and headed the university's Mathematical Institute. In 1933, Courant left Germany for England, from whence he went on to the United States after a year. In 1936, he became a professor at the New York University. Here, he headed the Department of Mathematics and was Director of the Institute of Mathematical Sciences - which was subsequently renamed the Courant Institute of Mathematical Sciences. Among other things, Courant is well remembered for his achievement regarding the finite element method, which he set on a solid mathematical basis and which is nowadays the most important way to solve partial differential equations numerically.

Table of Contents

Partial table of contents:

The Continuum of Numbers, The Concept of Function, The Concept ofthe Limit of a Sequence, The Concept of Continuity.

The Fundamental Ideas of the Integral and Differential Calculus:The Definite Integral, The Derivative, The Estimation of Integralsand the Mean Value Theorem of the Integral Calculus.

Differentiation and Integration of the Elementary Functions: Maximaand Minima, The Logarithm and the Exponential Function, TheHyperbolic Functions.

Further Development of the Integral Calculus: The Method ofSubstitution, Integration by Parts, Integration of RationalFunctions, Improper Integrals.

Applications.

Taylor's Theorem and the Approximate Expression of Functions byPolynomials.

Numerical Methods.

Infinite Series and Other Limiting Processes.

Fourier Series.

A Sketch of the Theory of Functions of Several Variables.

The Differential Equations for the Simplest Types ofVibration.

Answers and Hints.

Index.

Additional information

NLS9780471608424
9780471608424
0471608424
Differential and Integral Calculus, Volume 1 by Richard Courant, 1888-1972 (New York University)
Richard Courant, 1888-1972 (New York University)
Wiley Classics Library
New
Paperback
John Wiley & Sons Inc
1988-04-20
640
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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