Multivariable Analysis
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ISBN-13:
9780857291912
Veröffentl:
2010
Erscheinungsdatum:
20.12.2010
Seiten:
394
Autor:
Satish Shirali
Gewicht:
586 g
Format:
234x156x28 mm
Sprache:
Englisch
Beschreibung:
This book provides a rigorous treatment of multivariable differential and integral calculus. Inverse and implicit function theorems based on total derivatives are given and the connection with solving systems of equations is included. 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 explained in the last chapter.
Contains a number of examples as well as section-by section problems, ranging from simple to complex
Preliminaries.- Functions between Euclidean Spaces.- Differentiation.- Inverse and Implicit Function Theorems.- Extrema.- Riemann Integration in Euclidean Space.- The General Stokes Theorem.- Solutions.
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