Problems and Theorems in Analysis, Volume I

George Polya and Gabor Szego

ISBN 10: 0387902244 / ISBN 13: 9780387902241

Editore: Springer-Verlag, New York, NY, 1972

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Fine in Wraps: flawless; the binding is square and secure; the text is clean. Free of creases to the panels. Free of creases to the backstrip. Free of creased or dog-eared pages in the text. Free of any underlining, hi-lighting or marginalia or marks in the text. Free of ownership names, dates, addresses, notations, inscriptions, stamps, or labels. A handsome, like-new copy. Bright, crisp and clean. Virtually 'As New'. NOT a Remainder, Book-Club, or Ex-Library. 8vo. (9.15 x 6.1 x 0.8 inches) . Translated by Dorothee Aeppli. Language: English. Weight: 21 ounces. Translated from the Fourth German Edition (1970) . Springer Study Edition. Paperback. The present English edition is not a mere translation of this seminal German text, originally published in 1924. Many new problems have been added and there are also other changes. Some of the problems first broached in this work have given rise to extensive research. ; Integral Calculus, Theory of Functions; Vol. 1; Large 8vo 9" - 10" tall; xiv, 485 pages.

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Dati bibliografici

• Titolo: Problems and Theorems in Analysis, Volume I
• Editore: Springer-Verlag, New York, NY
• Data di pubblicazione: 1972
• Lingua: Inglese
• ISBN 10: 0387902244
• ISBN 13: 9780387902241
• Rilegatura: Paperback
• Edizione: First American Edition; First Printing.
• Condizione: Fine

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Riassunto

The present English edition is not a mere translation of the German original. Many new problems have been added and there are also other changes, mostly minor. Yet all the alterations amount to less than ten percent of the text. We intended to keep intact the general plan and the original flavor of the work. Thus we have not introduced any essentially new subject matter, although the mathematical fashion has greatly changed since 1924. We have restricted ourselves to supplementing the topics originally chosen. Some of our problems first published in this work have given rise to extensive research. To include all such developments would have changed the character of the work, and even an incomplete account, which would be unsatisfactory in itself, would have cost too much labor and taken up too much space. We have to thank many readers who, since the publication of this work almost fifty years ago, communicated to us various remarks on it, some of which have been incorporated into this edition. We have not listed their names; we have forgotten the origin of some contributions, and an incomplete list would have been even less desirable than no list. The first volume has been translated by Mrs. Dorothee Aeppli, the second volume by Professor Claude Billigheimer. We wish to express our warmest thanks to both for the unselfish devotion and scrupulous conscientiousness with which they attacked their far from easy task.

Contenuti

One Infinite Series and Infinite Sequences.- 1 Operations with Power Series.- 2 Linear Transformations of Series. A Theorem of Cesàro.- 3 The Structure of Real Sequences and Series.- 4 Miscellaneous Problems.- Two Integration.- 1 The Integral as the Limit of a Sum of Rectangles.- 2 Inequalities.- 3 Some Properties of Real Functions.- 4 Various Types of Equidistribution.- 5 Functions of Large Numbers.- Three Functions of One Complex Variable. General Part.- 1 Complex Numbers and Number Sequences.- 2 Mappings and Vector Fields.- 3 Some Geometrical Aspects of Complex Variables.- 4 Cauchy’s Theorem The Argument Principle.- 5 Sequences of Analytic Functions.- 6 The Maximum Principle.- Author Inde.- Subject Inde.