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Analysis for Applied Mathematics

Name: Analysis for Applied Mathematics
Brand: Springer, Berlin
SKU: 05248030
Price: 99.59 EUR
Availability: InStock
Author: Ward Cheney
ISBN: 9780387952796

Ward Cheney

Idioma

Inglés

Libro Tapa dura

Código Libristo: 05248030

Editores Springer, Berlin, noviembre 2000

This textbook is designed for a course at the beginning graduate level, serving students of mathemat... Descripción completa

Código Libristo: 05248030

244 b

99.59 €

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This textbook is designed for a course at the beginning graduate level, serving students of mathematics, engineering, physics, and other sciences. Its goal is to provide the analytical tools, concepts, and viewpoints needed for modern applied mathematics. The book begins with a gentle introduction to normed linear spaces and Hilbert spaces, taking the reader as far as the Spectral Theorem for compact normal operators on a Hilbert space. It then discusses calculus in normed linear spaces, leading up to topics in the calculus of variations and optimization theory. Next, the book treats various practical methods for solving problems that arise in applied mathematics, such as differential equations, boundary value problems, and integral equations. Here the reader finds t he Galerkin method, the method of iteration, Newton's method, projection techniques, homotopy methods, and other pragmatic approaches to the difficult equations confronting applied mathematicians. To prepare the reader for work in the modern theory of partial differential equations, the subject of distributions is taken up next. A chapter on the Fourier transform and its applications follows, and includes a section on Sobolev spaces. Another chapter discusses topics that are related to those in the earlier parts of the book but are more specialized, such as separation theorems, selection theorems, Fredholm theory, and linear topological spaces. The final chapter provides a concise account of measure theory and integration.