000			02763nam a22002297a 4500
003			OSt
005			20241101114009.0
008			220621b |||||||| |||| 00| 0 eng d
020			_a9788184896275
040			_cDonation by Prof. A S Vasudeva Murthy _aICTS-TIFR
050			_aQA301
100			_aBernard R. Gelbaum
245			_aProblems in real and complex analysis
260			_aNew York, _bSpringer-Verlag: _c[c1992]
300			_a488 p.
490			_aProblem book in mathematics
505			_aReal Analysis: Problems Chapter 1. Set Algebra and Function Lattices Chapter 2. Topology, Limits, and Continuity Chapter 3. Real- and Complex-valued Functions Chapter 5. Measure and Topology Chapter 6. Measure Theory Chapter 7. Topological Vector Spaces Complex Analysis: Problems Chapter 1. Elementary Theory Chapter 2. Functions Holomorphic in a Disc Chapter 3. Functions Holomorphic in a Region Chapter 5. Entire Functions Chapter 6. Analytic Continuation Chapter 7. Singularities Chapter 8. Harmonic Functions Chapter 9. Families of Functions Chapter 10. Convexity Theorems
520			_a In the pages that follow there are: A. A revised and enlarged version of Problems in analysis (PIA) . (All typographical, stylistic, and mathematical errors in PIA and known to the writer have been corrected.) B. A new section COMPLEX ANALYSIS containing problems distributed among many of the principal topics in the theory of functions of a complex variable. C. A total of 878 problems and their solutions. D. An enlarged Index/Glossary and an enlarged Symbol List. Notational and terminological conventions are to be found for the most part under Conventions at the beginnings of the chapters. Spe­ cial items not included in Conventions are completely explained in the Index/Glossary. The audience to which the current book is addressed differs little from the audience for PIA. The background of the reader is assumed to include a knowledge of the basic principles and theorems in real and complex analysis as those subjects are currently viewed. The aim of the problems is to sharpen and deepenthe understanding of the mechanisms that underlie modern analysis. I thank Springer-Verlag for its interest in and support of this project. State University of New York at Buffalo B. R. G. v Contents The symbol alb under Pages below indicates that the Problems for the section begin on page a and the corresponding Solutions begin on page b. Thus 3/139 on the line for Set Algebra indicates that the Problems in Set Algebra begin on page 3 and the corresponding Solutions begin on page 139.---Summary provided by publisher
650			_aMathematics
856			_uhttps://link.springer.com/book/10.1007/978-1-4612-0925-6
942			_2lcc _cBK
999			_c3165 _d3165