A First Course in Functional Analysis

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9780470146194: A First Course in Functional Analysis
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A concise introduction to the major concepts of functionalanalysis

Requiring only a preliminary knowledge of elementary linearalgebra and real analysis, A First Course in FunctionalAnalysis provides an introduction to the basic principles andpractical applications of functional analysis. Key concepts areillustrated in a straightforward manner, which facilitates acomplete and fundamental understanding of the topic.

This book is based on the author's own class-tested material anduses clear language to explain the major concepts of functionalanalysis, including Banach spaces, Hilbert spaces, topologicalvector spaces, as well as bounded linear functionals and operators.As opposed to simply presenting the proofs, the author outlines thelogic behind the steps, demonstrates the development of arguments,and discusses how the concepts are connected to one another. Eachchapter concludes with exercises ranging in difficulty, givingreaders the opportunity to reinforce their comprehension of thediscussed methods. An appendix provides a thorough introduction tomeasure and integration theory, and additional appendices addressthe background material on topics such as Zorn's lemma, theStone-Weierstrass theorem, Tychonoff's theorem on product spaces,and the upper and lower limit points of sequences. References tovarious applications of functional analysis are also includedthroughout the book.

A First Course in Functional Analysis is an ideal textfor upper-undergraduate and graduate-level courses in pure andapplied mathematics, statistics, and engineering. It also serves asa valuable reference for practitioners across various disciplines,including the physical sciences, economics, and finance, who wouldlike to expand their knowledge of functional analysis.

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About the Author:

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.

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"Graduate and advanced undergraduate students in mathematics andphysics will appreciate this book as a useful and stimulatingcontribution to the vast array of textbooks on the subject.."(Zentralblatt MATH, October 2010)

"A First Course in Functional Analysis is an ideal textfor upper-undergraduate and graduate-level courses in pure andapplied mathematics, statistics, and engineering. It also serves asa valuable reference for practioners across various disciplines,including the physical sciences, economics, and finance, who wouldlike to expand their knowledge of functional analysis."(Mathematical Reviews, 2009c)

"It is written in a very open, nontelegraphic style, and takescare to explain topics as they come up.  Recommended."(CHOICE Oct 2008)

"This is an excellent text for reaching students of diversebackgrounds and majors, as well as scientists from otherdisciplines (physics, economics, finance, and engineering) who wantan introduction to functional analysis." (MAA Reviews Oct2008)

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S. David Promislow
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Book Description John Wiley and Sons Ltd, United States, 2008. Hardback. Condition: New. 1. Auflage. Language: English. Brand new Book. 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 to 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. Seller Inventory # AAH9780470146194

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Book Description John Wiley and Sons Ltd, United States, 2008. Hardback. Condition: New. 1. Auflage. Language: English. Brand new Book. 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 to 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. Seller Inventory # AAH9780470146194

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Book Description John Wiley and Sons Ltd, United States, 2008. Hardback. Condition: New. 1. Auflage. Language: English. Brand new Book. 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 to 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. Seller Inventory # LIE9780470146194

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