Real and Abstract Analysis: A Modern Treatment of the Theory of Functions of a Real Variable (Graduate Texts in Mathematics)

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9781468498905: Real and Abstract Analysis: A Modern Treatment of the Theory of Functions of a Real Variable (Graduate Texts in Mathematics)

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].

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

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Edwin Hewitt, Karl R. Stromberg
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Description du livre Springer-Verlag New York Inc., United States, 2013. Paperback. État : New. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. 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]. Softcover reprint of the original 1st ed. 1965. N° de réf. du libraire LIE9781468498905

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Description du livre Springer-Verlag New York Inc., United States, 2013. Paperback. État : New. Language: English . Brand New Book ***** Print on Demand *****.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]. Softcover reprint of the original 1st ed. 1965. N° de réf. du libraire AAV9781468498905

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Description du livre Springer-Verlag New York Inc., United States, 2013. Paperback. État : New. Language: English . Brand New Book ***** Print on Demand *****. 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]. Softcover reprint of the original 1st ed. 1965. N° de réf. du libraire AAV9781468498905

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Description du livre Springer. Paperback. État : New. Paperback. 478 pages. Dimensions: 9.2in. x 6.1in. x 1.1in.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. APOSTOLs Mathematical Analysis Addison-Wesley Publ. Co. , Reading, Mass. , 1957, orWALTERRUDINs Principles of Mathe matical Analysis 2nd Ed. , McGraw-Hill Book Co. , New York, 1964. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. N° de réf. du libraire 9781468498905

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