A Brief Course In The Theory Of Functions Of A Real Variable
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A Brief Course In The Theory Of Functions Of A Real Variable
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Author : Boris Zakharovich Vulikh
language : en
Publisher:
Release Date : 1976
A Brief Course In The Theory Of Functions Of A Real Variable written by Boris Zakharovich Vulikh and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Mathematics categories.
Theory Of Functions Of A Real Variable
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Author : Shlomo Sternberg
language : en
Publisher: Orange Grove Texts Plus
Release Date : 2009-09-24
Theory Of Functions Of A Real Variable written by Shlomo Sternberg and has been published by Orange Grove Texts Plus this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-24 with categories.
This text is for a beginning graduate course in real variables and functional analysis. It assumes that the student has seen the basics of real variable theory and point set topology. Contents: 1) The topology of metric spaces. 2) Hilbert Spaces and Compact operators. 3) The Fourier Transform. 4) Measure theory. 5) The Lebesgue integral. 6) The Daniell integral. 7) Wiener measure, Brownian motion and white noise. 8) Haar measure. 9) Banach algebras and the spectral theorem. 10) The spectral theorem. 11) Stone's theorem. 12) More about the spectral theorem. 13) Scattering theory.
Basic Analysis I
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Author : James K. Peterson
language : en
Publisher: CRC Press
Release Date : 2020-05-13
Basic Analysis I written by James K. Peterson and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-13 with Mathematics categories.
Basic Analysis I: Functions of a Real Variable is designed for students who have completed the usual calculus and ordinary differential equation sequence and a basic course in linear algebra. This is a critical course in the use of abstraction, but is just first volume in a sequence of courses which prepare students to become practicing scientists. This book is written with the aim of balancing the theory and abstraction with clear explanations and arguments, so that students who are from a variety of different areas can follow this text and use it profitably for self-study. It can also be used as a supplementary text for anyone whose work requires that they begin to assimilate more abstract mathematical concepts as part of their professional growth. Features Can be used as a traditional textbook as well as for self-study Suitable for undergraduate mathematics students, or for those in other disciplines requiring a solid grounding in abstraction Emphasises learning how to understand the consequences of assumptions using a variety of tools to provide the proofs of propositions
Real Variables
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Author : John Meigs Hubbell Olmsted
language : en
Publisher:
Release Date : 1959
Real Variables written by John Meigs Hubbell Olmsted and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1959 with Functions of real variables categories.
Real And Abstract Analysis
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Author : Edwin Hewitt
language : en
Publisher: Springer
Release Date : 1975-07-09
Real And Abstract Analysis written by Edwin Hewitt and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975-07-09 with Mathematics categories.
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], orWALTERRUDIN's Principles of Mathe matical Analysis [2nd Ed., McGraw-Hill Book Co., New York, 1964].
Elementary Theory Of Analytic Functions Of One Or Several Complex Variables
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Author : Henri Cartan
language : en
Publisher: Courier Corporation
Release Date : 2013-04-22
Elementary Theory Of Analytic Functions Of One Or Several Complex Variables written by Henri Cartan and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-22 with Mathematics categories.
Basic treatment includes existence theorem for solutions of differential systems where data is analytic, holomorphic functions, Cauchy's integral, Taylor and Laurent expansions, more. Exercises. 1973 edition.
A Brief Course In The Theory Of Functions Of A Real Variable
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Author :
language : en
Publisher:
Release Date : 1973
A Brief Course In The Theory Of Functions Of A Real Variable written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with categories.
Functions Of Several Real Variables
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Author : Martin A. Moskowitz
language : en
Publisher: World Scientific
Release Date : 2011
Functions Of Several Real Variables written by Martin A. Moskowitz and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
This book begins with the basics of the geometry and topology of Euclidean space and continues with the main topics in the theory of functions of several real variables including limits, continuity, differentiation and integration. All topics and in particular, differentiation and integration, are treated in depth and with mathematical rigor. The classical theorems of differentiation and integration are proved in detail and many of them with novel proofs. The authors develop the theory in a logical sequence building one theorem upon the other, enriching the development with numerous explanatory remarks and historical footnotes. A number of well chosen illustrative examples and counter-examples clarify the theory and teach the reader how to apply it to solve problems in mathematics and other sciences and economics. Each of the chapters concludes with groups of exercises and problems, many of them with detailed solutions while others with hints or final answers. More advanced topics, such as Morse's lemma, Brouwer's fixed point theorem, Picard's theorem and the Weierstrass approximation theorem are discussed in stared sections.
Complex Function Theory
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Author : Donald Sarason
language : en
Publisher: American Mathematical Soc.
Release Date : 2007-12-20
Complex Function Theory written by Donald Sarason and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-20 with Mathematics categories.
Complex Function Theory is a concise and rigorous introduction to the theory of functions of a complex variable. Written in a classical style, it is in the spirit of the books by Ahlfors and by Saks and Zygmund. Being designed for a one-semester course, it is much shorter than many of the standard texts. Sarason covers the basic material through Cauchy's theorem and applications, plus the Riemann mapping theorem. It is suitable for either an introductory graduate course or an undergraduate course for students with adequate preparation. The first edition was published with the title Notes on Complex Function Theory.
Short Course On Functional Equations
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Author : J. Aczél
language : en
Publisher: Springer Science & Business Media
Release Date : 1987
Short Course On Functional Equations written by J. Aczél and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Business & Economics categories.
Review(s)'... this book is not only an impressive example how mathematics can be applied to problems arising in the social and behavioral sciences, but also on outstanding course on functional equations. This course is short, as the title says, but leads astonishingly far, since the material is presented very economically.I am convinced that every reader will enjoy this book greatly.'Zeischrift f]r Operations Research, June 1989.