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RT Book, Whole SR Electronic DC OPAC T1 Real and Abstract Analysis : A modern treatment of the theory of functions of a real variable A1 Hewitt, E A1 Stromberg, K A1 SpringerLink (Online service) YR 1965 FD 1965 VO print K1 Functions of real variables K1 Mathematical analysis K1 Real Functions K1 Analysis ED 1st ed. 1965. PB Springer Berlin Heidelberg : Imprint: Springer PP Berlin, Heidelberg SN 9783642880469 LA English (英語) CL LCC:QA331.5 CL DC23:515.8 NO License restrictions may limit access NO 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. 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] NO 書誌ID=OB01029283; LK https://link.springer.com/openurl?genre=book&isbn=978-3-642-88044-5 DS 同志社大学OPAC OL 30