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Functional Analysis
S. Kesavan
其他書名
Second Edition
出版Springer Nature, 2023-02-27
主題Mathematics / Functional AnalysisMathematics / Mathematical Analysis
ISBN98119763339789811976339
URLhttp://books.google.com.hk/books?id=DtWwEAAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋This second edition is thoroughly revised and includes several new examples and exercises. Proofs of many results have been rewritten for a greater clarity. While covering all the standard material expected of such a course, efforts have been made to illustrate the use of the topics to study differential equations and calculus of variations. The book includes a chapter on weak topologies and their applications. It also includes a chapter on the Lebesgue spaces, which discusses Sobolev spaces. The book includes a chapter on compact operators and their spectra, especially for compact self-adjoint operators on a Hilbert space. Each chapter has a large collection of exercises in the end, which give additional examples and counterexamples to the results given in the text. This book is suitable for a first course in functional analysis for graduate students who wish to pursue a career in the applications of mathematics.