Share

A Course in Abstract Analysis

2012-10-03 Mathematics
Download A Course in Abstract Analysis PDF Online Free

Author :
Release : 2012-10-03
Genre : Mathematics
Kind : eBook
Book Rating : 832/5 ( reviews)

GET EBOOK


Book Synopsis A Course in Abstract Analysis by : John B. Conway

Download or read book A Course in Abstract Analysis written by John B. Conway. This book was released on 2012-10-03. Available in PDF, EPUB and Kindle. Book excerpt: This book covers topics appropriate for a first-year graduate course preparing students for the doctorate degree. The first half of the book presents the core of measure theory, including an introduction to the Fourier transform. This material can easily be covered in a semester. The second half of the book treats basic functional analysis and can also be covered in a semester. After the basics, it discusses linear transformations, duality, the elements of Banach algebras, and C*-algebras. It concludes with a characterization of the unitary equivalence classes of normal operators on a Hilbert space. The book is self-contained and only relies on a background in functions of a single variable and the elements of metric spaces. Following the author's belief that the best way to learn is to start with the particular and proceed to the more general, it contains numerous examples and exercises.

A Course in Abstract Harmonic Analysis

2016-02-03 Mathematics
Download A Course in Abstract Harmonic Analysis PDF Online Free

Author :
Release : 2016-02-03
Genre : Mathematics
Kind : eBook
Book Rating : 158/5 ( reviews)

GET EBOOK


Book Synopsis A Course in Abstract Harmonic Analysis by : Gerald B. Folland

Download or read book A Course in Abstract Harmonic Analysis written by Gerald B. Folland. This book was released on 2016-02-03. Available in PDF, EPUB and Kindle. Book excerpt: A Course in Abstract Harmonic Analysis is an introduction to that part of analysis on locally compact groups that can be done with minimal assumptions on the nature of the group. As a generalization of classical Fourier analysis, this abstract theory creates a foundation for a great deal of modern analysis, and it contains a number of elegant resul

Foundations of Abstract Analysis

2012-11-09 Mathematics
Download Foundations of Abstract Analysis PDF Online Free

Author :
Release : 2012-11-09
Genre : Mathematics
Kind : eBook
Book Rating : 621/5 ( reviews)

GET EBOOK


Book Synopsis Foundations of Abstract Analysis by : Jewgeni H. Dshalalow

Download or read book Foundations of Abstract Analysis written by Jewgeni H. Dshalalow. This book was released on 2012-11-09. Available in PDF, EPUB and Kindle. Book excerpt: Foundations of Abstract Analysis is the first of a two book series offered as the second (expanded) edition to the previously published text Real Analysis. It is written for a graduate-level course on real analysis and presented in a self-contained way suitable both for classroom use and for self-study. While this book carries the rigor of advanced modern analysis texts, it elaborates the material in much greater details and therefore fills a gap between introductory level texts (with topics developed in Euclidean spaces) and advanced level texts (exclusively dealing with abstract spaces) making it accessible for a much wider interested audience. To relieve the reader of the potential overload of new words, definitions, and concepts, the book (in its unique feature) provides lists of new terms at the end of each section, in a chronological order. Difficult to understand abstract notions are preceded by informal discussions and blueprints followed by thorough details and supported by examples and figures. To further reinforce the text, hints and solutions to almost a half of more than 580 problems are provided at the end of the book, still leaving ample exercises for assignments. This volume covers topics in point-set topology and measure and integration. Prerequisites include advanced calculus, linear algebra, complex variables, and calculus based probability.

Real and Abstract Analysis

2012-12-06 Mathematics
Download Real and Abstract Analysis PDF Online Free

Author :
Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 444/5 ( reviews)

GET EBOOK


Book Synopsis Real and Abstract Analysis by : E. Hewitt

Download or read book Real and Abstract Analysis written by E. Hewitt. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: This book is first of all designed as a text for the course usually called "theory of functions of a real variable". This course is at present cus tomarily offered as a first or second year graduate course in United States universities, although there are signs that this sort of analysis will soon penetrate upper division undergraduate curricula. We have included every topic that we think essential for the training of analysts, and we have also gone down a number of interesting bypaths. We hope too that the book will be useful as a reference for mature mathematicians and other scientific workers. Hence we have presented very general and complete versions of a number of important theorems and constructions. Since these sophisticated versions may be difficult for the beginner, we have given elementary avatars of all important theorems, with appro priate suggestions for skipping. We have given complete definitions, ex planations, and proofs throughout, so that the book should be usable for individual study as well as for a course text. Prerequisites for reading the book are the following. The reader is assumed to know elementary analysis as the subject is set forth, for example, in TOM M. ApOSTOL'S Mathematical Analysis [Addison-Wesley Publ. Co., Reading, Mass., 1957], or WALTER RUDIN'S Principles of M athe nd matical Analysis [2 Ed., McGraw-Hill Book Co., New York, 1964].

Foundations of Real and Abstract Analysis

1998 Business & Economics
Download Foundations of Real and Abstract Analysis PDF Online Free

Author :
Release : 1998
Genre : Business & Economics
Kind : eBook
Book Rating : 396/5 ( reviews)

GET EBOOK


Book Synopsis Foundations of Real and Abstract Analysis by : Douglas S. Bridges

Download or read book Foundations of Real and Abstract Analysis written by Douglas S. Bridges. This book was released on 1998. Available in PDF, EPUB and Kindle. Book excerpt: A complete course on metric, normed, and Hilbert spaces, including many results and exercises seldom found in texts on analysis at this level. The author covers an unusually wide range of material in a clear and concise format, including elementary real analysis, Lebesgue integration on R, and an introduction to functional analysis. The book begins with a fast-paced course on real analysis, followed by an introduction to the Lebesgue integral. This provides a reference for later chapters as well as a preparation for students with only the typical sequence of undergraduate calculus courses as prerequisites. Other features include a chapter introducing functional analysis, the Hahn-Banach theorem and duality, separation theorems, the Baire Category Theorem, the Open Mapping Theorem and their consequences, and unusual applications. Of special interest are the 750 exercises, many with guidelines for their solutions, applications and extensions of the main propositions and theorems, pointers to new branches of the subject, and difficult challenges for the very best students.

You may also like...