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Real and abstract analysis: a modern treatment of the theory of functions of a real variable

By: Contributor(s): Series: Graduate text in mathematics; 25Publication details: Verlag Springer 1975Description: x, 476 pISBN:
  • 9781468498905
Subject(s): DDC classification:
  • 515.8 H3R3
Summary: 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. (http://www.springer.com/gp/book/9780387901381)
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Item type Current library Item location Collection Shelving location Call number Status Date due Barcode
Books Vikram Sarabhai Library Rack 28-A / Slot 1381 (0 Floor, East Wing) Non-fiction General Stacks 515.8 H3R3 (Browse shelf(Opens below)) Available 190592

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.

(http://www.springer.com/gp/book/9780387901381)

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