Multivariable Analysis (Paperback, 2011 ed.)

This book provides a rigorous treatment of multivariable differential and integral calculus. Implicit function theorem and the inverse function theorem based on total derivatives is explained along with the results and the connection to solving systems of equations. There is an extensive treatment of extrema, including constrained extrema and Lagrange multipliers, covering both first order necessary conditions and second order sufficient conditions. The material on Riemann integration in n dimensions, being delicate by its very nature, is discussed in detail. Differential forms and the general Stokes' Theorem are expounded in the last chapter. With a focus on clarity rather than brevity, this text gives clear motivation, definitions and examples with transparent proofs. Much of the material included is published for the first time in textbook form, for example Schwarz' Theorem in Chapter 2 and double sequences and sufficient conditions for constrained extrema in Chapter 4. A wide selection of problems, ranging from simple to more challenging, are included with carefully formed solutions. Ideal as a classroom text or a self study resource for students, this book will appeal to higher level undergraduates in Mathematics.

General

Imprint:	Springer London
Country of origin:	United Kingdom
Release date:	December 2010
First published:	2011
Authors:	Satish Shirali • Harkrishan Lal Vasudeva
Dimensions:	235 x 155 x 25mm (L x W x T)
Format:	Paperback
Pages:	394
Edition:	2011 ed.
ISBN-13:	978-0-85729-191-2
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Real analysis Promotions
LSN:	0-85729-191-2
Barcode:	9780857291912

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