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Differential and integral calculus/ R. Courant

By: Courant, RMaterial type: Text

TextPublication details: New York: Wiley-Interscience, 2011Description: 2 v. (xiii, 616 p.) : ill. ; 23 cmISBN: 9781283298759Subject(s): Calculus | Calculus, Integral | Differential calculusDDC classification: 515

Contents:

v. 1. Differential and integral calculus -- Introduction -- The fundamental ideas of the integral and differential calculus -- Differentiation and integration of the elementary functions -- Further development of the integral calculus -- Applications -- Taylor's theorem and the approximate expression of functions by polynomials -- 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 of vibration -- Summary of important theorems and formulae -- Miscellaneous examples -- Answers and hints -- v. 2. Preliminary remarks on analytical geometry and vector analysis -- Functions of several variables and their derivatives -- Developments and applications of the differential calculus -- Multiple integrals -- Integration over regions in several dimensions -- Differential equations -- Calculus of variations -- Functions of a complex variable -- Supplement: real numbers and the concept of limit -- Miscellaneous examples -- Summary of important theorems and formulae -- Answers and hints.

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Holdings
Item type	Current library	Call number	Vol info	Status	Date due	Barcode	Item holds
General Books	Central Library, Sikkim University General Book Section	515 COU/D (Browse shelf(Opens below))	v.1	Available		P40948

Total holds: 0

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Previous	515 BEA Understanding calculus/	515 BEA/U Understanding calculus/	515 BER/F Fundamentals of real analysis/	515 COU/D Differential and integral calculus/	515 COU/D Differential and integral calculus/	515 DON/P Practical analysis in one variable //	515 EDW/A Advanced Calculus: A Differential Forms Approach/	Next

v. 1. Differential and integral calculus --
Introduction --
The fundamental ideas of the integral and differential calculus --
Differentiation and integration of the elementary functions --
Further development of the integral calculus --
Applications --
Taylor's theorem and the approximate expression of functions by polynomials --
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 of vibration --
Summary of important theorems and formulae --
Miscellaneous examples --
Answers and hints --
v. 2. Preliminary remarks on analytical geometry and vector analysis --
Functions of several variables and their derivatives --
Developments and applications of the differential calculus --
Multiple integrals --
Integration over regions in several dimensions --
Differential equations --
Calculus of variations --
Functions of a complex variable --
Supplement: real numbers and the concept of limit --
Miscellaneous examples --
Summary of important theorems and formulae --
Answers and hints.

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