Differential Calculus and Its Applications

Differential Calculus and Its Applications

by Michael J. Field

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Overview

Differential Calculus and Its Applications by Michael J. Field


This text offers a synthesis of theory and application related to modern techniques of differentiation. Based on undergraduate courses in advanced calculus, the treatment covers a wide range of topics, from soft functional analysis and finite-dimensional linear algebra to differential equations on submanifolds of Euclidean space. Suitable for advanced undergraduate courses in pure and applied mathematics, it forms the basis for graduate-level courses in advanced calculus and differential manifolds.
Starting with a brief resume of prerequisites, including elementary linear algebra and point set topology, the self-contained approach examines liner algebra and normed vector spaces, differentiation and calculus on vector spaces, and the inverse- and implicit-function theorems. A final chapter is dedicated to a consolidation of the theory as stated in previous chapters, in addition to an introduction to differential manifolds and differential equations.

Product Details

ISBN-13: 9780486497952
Publisher: Dover Publications
Publication date: 12/19/2012
Series: Dover Books on Mathematics Series
Edition description: Reprint
Pages: 336
Sales rank: 304,446
Product dimensions: 9.00(w) x 6.10(h) x 0.90(d)

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