Differential and Integral Calculus, Volume 1
2nd Edition
Published on 20. April 1988
Book
Paperback/Softback
640 pages
978-0-471-60842-4 (ISBN)
Description
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.
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.
More details
Series
Edition
2nd edition
Language
English
Place of publication
United States
Publishing group
John Wiley & Sons Inc
Target group
Professional and scholarly
Product notice
Paperback (trade)
Unsewn / adhesive bound
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 34 mm
Weight
904 gr
ISBN-13
978-0-471-60842-4 (9780471608424)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
R. Courant
Differential and Integral Calculus, Volume 1
E-Book
08/2011
2nd Edition
Wiley
€109.99
Available for download
R. Courant
Differential and Integral Calculus: v. 1
Book
01/1988
2nd Edition
Wiley
€61.90
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Person
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.
Content
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.
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.