Calculus, vol. II

By:

Apostol, Tom M

Material type: Text

9789354642722

Subject(s):

DDC classification:

517 APO-C

Contents:

Part 1. Linear analysis

Part 2. Nonlinear analysis

Part 3. Special tools

Summary: An introduction to the Calculus, with an excellent balance between theory and technique. Integration is treated before differentiation--this is a departure from most modern texts, but it is historically correct, and it is the best way to establish the true connection between the integral and the derivative. Proofs of all the important theorems are given, generally preceded by geometric or intuitive discussion. This Second Edition introduces the mean-value theorems and their applications earlier in the text, incorporates a treatment of linear algebra, and contains many new and easier exercises. As in the first edition, an interesting historical introduction precedes each important new concept.

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Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode	Item holds
Books	IIITD General Stacks	Mathematics	517 APO-C (Browse shelf(Opens below))	Available		013716

Total holds: 0

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Previous	516.362 NIC-L Lectures on the geometry of manifolds	516.362 URA-S Spectral geometry of the Laplacian :	517 APO-C Calculus, vol. I	517 APO-C Calculus, vol. II	517 KGS-I Integral calculus : differential equations with geogebra	517 RUD-P Principles of mathematical analysis	517 RUD-P Principles of mathematical analysis	Next

Include index.

Part 1. Linear analysis

Part 2. Nonlinear analysis

Part 3. Special tools

An introduction to the Calculus, with an excellent balance between theory and technique. Integration is treated before differentiation--this is a departure from most modern texts, but it is historically correct, and it is the best way to establish the true connection between the integral and the derivative. Proofs of all the important theorems are given, generally preceded by geometric or intuitive discussion. This Second Edition introduces the mean-value theorems and their applications earlier in the text, incorporates a treatment of linear algebra, and contains many new and easier exercises. As in the first edition, an interesting historical introduction precedes each important new concept.

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