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First Course in Functional Analysis
S. David Promislow
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Description for First Course in Functional Analysis
Hardcover. This straight-forward, concise book is made up of carefully selected topics and is written in an accessible that requires minimal background knowledge. It provides the reader with a sense of unity in the subject's development and fully explains the essential concepts, outlining the logic behind the steps to familiarize the reader with the theories. Series: Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts. Num Pages: 308 pages, ill. BIC Classification: PBKF. Category: (P) Professional & Vocational. Dimension: 238 x 152 x 21. Weight in Grams: 596.
A concise introduction to the major concepts of functional analysis Requiring only a preliminary knowledge of elementary linear algebra and real analysis, A First Course in Functional Analysis provides an introduction to the basic principles and practical applications of functional analysis. Key concepts are illustrated in a straightforward manner, which facilitates a complete and fundamental understanding of the topic.
This book is based on the author's own class-tested material and uses clear language to explain the major concepts of functional analysis, including Banach spaces, Hilbert spaces, topological vector spaces, as well as bounded linear functionals and operators. As opposed ... Read moreto simply presenting the proofs, the author outlines the logic behind the steps, demonstrates the development of arguments, and discusses how the concepts are connected to one another. Each chapter concludes with exercises ranging in difficulty, giving readers the opportunity to reinforce their comprehension of the discussed methods. An appendix provides a thorough introduction to measure and integration theory, and additional appendices address the background material on topics such as Zorn's lemma, the Stone-Weierstrass theorem, Tychonoff's theorem on product spaces, and the upper and lower limit points of sequences. References to various applications of functional analysis are also included throughout the book.
A First Course in Functional Analysis is an ideal text for upper-undergraduate and graduate-level courses in pure and applied mathematics, statistics, and engineering. It also serves as a valuable reference for practitioners across various disciplines, including the physical sciences, economics, and finance, who would like to expand their knowledge of functional analysis.
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Product Details
Publisher
John Wiley and Sons Ltd United Kingdom
Series
Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts
Place of Publication
, United States
Shipping Time
Usually ships in 7 to 11 working days
About S. David Promislow
S. David Promislow, PhD, is Professor Emeritus of Mathematics at York University in Toronto, Canada. Dr. Promislow has over thirty-five years of teaching experience in the areas of functional analysis, group theory, measure theory, and actuarial mathematics. He is the author of Fundamentals of Actuarial Mathematics, also published by Wiley.
Reviews for First Course in Functional Analysis
"Graduate and advanced undergraduate students in mathematics and physics will appreciate this book as a useful and stimulating contribution to the vast array of textbooks on the subject.." (Zentralblatt MATH, October 2010) "A First Course in Functional Analysis is an ideal text for upper-undergraduate and graduate-level courses in pure and applied mathematics, statistics, and engineering. ... Read moreIt also serves as a valuable reference for practioners across various disciplines, including the physical sciences, economics, and finance, who would like to expand their knowledge of functional analysis." (Mathematical Reviews, 2009c) "It is written in a very open, nontelegraphic style, and takes care to explain topics as they come up. Recommended." (CHOICE Oct 2008) "This is an excellent text for reaching students of diverse backgrounds and majors, as well as scientists from other disciplines (physics, economics, finance, and engineering) who want an introduction to functional analysis." (MAA Reviews Oct 2008) Show Less