Applied Functional Analysis Contributor(s): Oden, J. Tinsley (Author), Demkowicz, Leszek (Author) |
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ISBN: 1420091956 ISBN-13: 9781420091953 Publisher: CRC Press OUR PRICE: $142.50 Product Type: Hardcover - Other Formats Published: February 2010 Annotation: To better prepare students to learn the variational theory of partial differential equations and numerical analysis, this textbook presents mathematical foundations leading to classical results in functional analysis. Significantly revised and expanded, this second edition provides new examples, new exercises, and a new solutions manual for qualifying instructors. Each chapter in this edition features an extensive introduction, a summary, and historical comments. Additional subjects addressed in the text include singular value decomposition, the Lebesgue measure, the Banach contractive map theorem, Schwartz distributions, and elementary spectral theory. |
Additional Information |
BISAC Categories: - Mathematics | Functional Analysis - Mathematics | Applied |
Dewey: 515.7 |
LCCN: 2009047507 |
Series: Textbooks in Mathematics |
Physical Information: 1.3" H x 7.1" W x 10" (2.65 lbs) 578 pages |
Descriptions, Reviews, Etc. |
Publisher Description: Through numerous illustrative examples and comments, Applied Functional Analysis, Second Edition demonstrates the rigor of logic and systematic, mathematical thinking. It presents the mathematical foundations that lead to classical results in functional analysis. More specifically, the text prepares students to learn the variational theory of partial differential equations, distributions and Sobolev spaces, and numerical analysis with an emphasis on finite element methods. While retaining the structure of its best-selling predecessor, this second edition includes revisions of many original examples, along with new examples that often reflect the authors' own vast research experiences and perspectives. This edition also provides many more exercises as well as a solutions manual for qualifying instructors. Each chapter begins with an extensive introduction and concludes with a summary and historical comments that frequently refer to other sources. New to the Second Edition
Ideal for a two-semester course, this proven textbook teaches students how to prove theorems and prepares them for further study of more advanced mathematical topics. It helps them succeed in formulating research questions in a mathematically rigorous way. |