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by John B. Conway

John_B._Conway Mathematics English
  • ISBN: 0387944605
  • Category: Math & Science
  • Author: John B. Conway
  • Subcategory: Mathematics
  • Other formats: lrf mbr lrf doc
  • Language: English
  • Publisher: Springer; 1st edition (June 13, 1996)
  • Pages: 396 pages
  • FB2 size: 1322 kb
  • EPUB size: 1674 kb
  • Rating: 4.1
  • Votes: 343
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This book discusses a variety of problems which are usually treated in a second course on the theory of functions of one complex variable.

This book discusses a variety of problems which are usually treated in a second course on the theory of functions of one complex variable. It treats several topics in geometric function theory as well as potential theory in the plane. In particular it covers: conformal equivalence for simply connected regions, conformal equivalence for finitely connected regions, analytic covering maps, de Branges' proof of the Bieberbach conjecture, harmonic functions, Hardy spaces on the disk, potential theory in the plane. The level of the material is gauged for graduate students.

COMPLEX VARIABLE (GRADUATE TEXTS IN By John B Conway. Several Complex Variables (Graduate Texts in Mathematics), Fritzsche, . Grauert.

FUNCTIONS OF ONE COMPLEX VARIABLE (GRADUATE TEXTS IN By John B Conway. Theory of Functions of a Complex Variable by C. Carathedory, Vol. II, Nice Copy. FUNCTIONS OF ONE COMPLEX VARIABLE (GRADUATE TEXTS IN By . Functions of One Complex Variable II, Hardcover by Conway, John . Like New.

Graduate Texts in Mathematics.

Functions of One Complex Variable II. Springer-Verlag. Graduate Texts in Mathematics. Preface This is the sequel to my book R&nCtiOtZS of One Complex Variable I, and probably a good opportunity to express my appreciation to the mathematical community for its reception of that work. In retrospect, writing that book was a crazy venture. As a graduate student I had had one of the worst learning experiences. of my career when I took complex analysis; a truly bad teacher.

Part of the Graduate Texts in Mathematics book series (GTM, volume 159). This is the sequel to my book Functions of One Complex Variable I, and probably a good opportunity to express my appreciation to the mathemat­ ical community for its reception of that work. As a graduate student I had had one of the worst learning experiences of my career when I took complex analysis; a truly bad teacher. As a non-tenured assistant professor, the department allowed me to teach the graduate course in complex analysis.

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Start by marking Functions of One Complex Variable (Graduate Texts . John B. Conway is a Professor of Mathematics at George Washington University. Other books in the series

Start by marking Functions of One Complex Variable (Graduate Texts in Mathematics - Vol 11) (v. 1) as Want to Read: Want to Read savin. ant to Read. This book presents a basic introduction to complex analysis in both an interesting and a rigorous manner. It contains enough material for a full year's course, and the choice of material treated is reasonably standard and should be satisfactory for most first courses in complex analysis. Other books in the series. Graduate Texts in Mathematics (1 - 10 of 60 books). Books by John B. Conway.

Graduate Texts in Mathematics (GTM) (ISSN 0072-5285) is a series of graduate-level textbooks in mathematics published by Springer-Verlag. The GTM series is easily identified by a white band at the top of the book.

This book presents a basic introduction to complex analysis in both an interesting and a rigorous manner. The approach to each topic appears to be carefully thought out both as to mathematical treatment and pedagogical presentation, and the end result is a very satisfactory book for classroom use or self-study.

This is the sequel to my book Functions of One Complex Variable I, and probably a good opportunity to express .

This is the sequel to my book Functions of One Complex Variable I, and probably a good opportunity to express my appreciation to the mathemat ical community for its reception of that work.

This book discusses a variety of problems which are usually treated in a second course on the theory of functions of one complex variable, the level being gauged for graduate students. It treats several topics in geometric function theory as well as potential theory in the plane, covering in particular: conformal equivalence for simply connected regions, conformal equivalence for finitely connected regions, analytic covering maps, de Branges' proof of the Bieberbach conjecture, harmonic functions, Hardy spaces on the disk, potential theory in the plane. A knowledge of integration theory and functional analysis is assumed.
Reviews about Functions of One Complex Variable II (Graduate Texts in Mathematics, Vol. 159) (3):
Frosha
Complex analysis is an old and very important part of mathematics, and it has very important applications in engineering (circuit theory) and pure science (quantum mechanics is formulated in an inherently complex formalism). There are a number of very great and important texts in this area. Ahlfors book has been the greatest textbook for a very long time, and it remains a great and even indispensable text. Berenstein and Gay have a ponderous two volume work that gives stunning insight and a very modern perspective. It is also the very best book for those who hope to transition to the theory of several complex variables. So, it is important, and I would not want to be without BG. BG is ponderous to use as a textbook, unless you have a rigorous graduate course. Carrier, Krook, and Pearson is an important and always useful book for giving insight into how calculations are really done. Needham is unique in that it gives the greatest insight into the underlying geometric meanings of complex analysis. I find many other texts, even those used at most excellent universities, to be of secondary importance.

For me, Conway is the best place to begin, the best place to learn, and always a useful and clear reference. He arranges the curriculum in a very orderly way, in a way that allows real insight all along. His proofs are real proofs. He doesn't leave gaps that a student should not bridge easily, and his proofs are complete. They leave no room for objections. So, the text has complete clarity. Conway gives a full skill set. Carrier Krook and Pearson may get you calculating more quickly and with greater facility, but you will learn the full calculation skill in Conway. Conway is quite complete, but without being as ponderous as BG (still a magnificent book). He gives less startling geometric insight than Needham, but he gives good insight. From my own point of view, Conway is the indispensable core book. If I were teaching the class, I would not teach it without using Needham as a co-text. Needham gives such careful insight that I would not call it a secondary text. It is a co-text. If Needham has a weakness, it is that some proofs are less stodgy and formal than I might like. Needham gives much greater depth into some very useful topics (fractional linear transformations, non-Euclidean geometry), but is lighter on details that students of a very classical area might be expected to have bumped into. Liking things stodgy is not necessarily a virtue. Needham's demonstrations are true, useful, and convincing.

With Conway, you can get the whole course with complete and correct details, and you can get it in the most straightforward and well organized way possible. It will just speed you on your way to perfect mastery of complex analysis in a single variable. In two volumes, you will need a full year course.
Realistic
I used this text for supplementary material in a Complex course. Text is clear and proofs are provided in great detail. Conway's treatment is a modern improvement of Ahlfors' great classic and covers more material.
HyderCraft
Good

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