Complex Analysis (Undergraduate Texts in Mathematics)

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9780387950938: Complex Analysis (Undergraduate Texts in Mathematics)

An introduction to complex analysis for students with some knowledge of complex numbers from high school. It contains sixteen chapters, the first eleven of which are aimed at an upper division undergraduate audience. The remaining five chapters are designed to complete the coverage of all background necessary for passing PhD qualifying exams in complex analysis. Topics studied include Julia sets and the Mandelbrot set, Dirichlet series and the prime number theorem, and the uniformization theorem for Riemann surfaces, with emphasis placed on the three geometries: spherical, euclidean, and hyperbolic. Throughout, exercises range from the very simple to the challenging. The book is based on lectures given by the author at several universities, including UCLA, Brown University, La Plata, Buenos Aires, and the Universidad Autonomo de Valencia, Spain.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

About the Author:


Review:

"More than 800 well-chosen exercises with 20 pages of hints and solutions, together with clear and concise expositions of many results, makes this book enjoyable even for specialists in the field. The book is recommended for libraries, students, and teachers of both undergraduate and graduate courses."
"Newsletter of the EMS, Issue 42, December 2001"

From the reviews:

"More than 800 well-chosen exercises with 20 pages of hints and solutions, together with clear and concise expositions of many results, makes this book enjoyable even for specialists in the field. The book is recommended for libraries, students, and teachers of both undergraduate and graduate courses."
Newsletter of the EMS, Issue 42, December 2001

"This is a wonderful book about the fundamentals of complex analysis. It touches all essential parts of complex function theory, and very often goes deeper into the subject than most elementary texts. ??? I find the pace, style and didactics in the presentation perfect. ??? All in all, this is one of the best if not the best book on the elementary theory of complex functions, and it can serve as a textbook as well as a reference book." (V. Totik, Mathematical Reviews, Issue 2002 h)

"This is a well organized textbook on complex analysis ??? . Each part of the book contains some interesting exercises which give many new insights into further developments and enhance the usefulness of the book. At the end of the book there are hints and solutions for selected exercises." (F. Haslinger, Internationale Mathematische Nachrichten, Vol. 56 (191), 2002)

"As the book begins with the rudiments of the subject and goes upto an advanced level, it will be equally useful to the undergraduates and to students at the pre Ph. D. level. The numerous applications to Physics found in the book redound to its value in the hands of students of Mathematics, Physics and Engineering alike." (K. S. Padmanabhan, Journal of the Indian Academy of Mathematics, Vol.24 (1), 2002)

"This is a beautiful book which provides a very good introduction to complex analysis for students with some familiarity with complex numbers. ??? The book is clearly written, with rigorous proofs, in a pleasant and accessible style. It is warmly recommended to students and all researchers in complex analysis." (Gabriela Kohr, The Mathematical Gazette, Vol. 86 (506), 2002)

"The author of this fine textbook is a prominent function theorist. He leads the reader in a careful but far-sighted way from the elements of complex analysis to advanced topics in function theory and at some points to topics of modern research. ??? We found, however, that a special feature of the book is the wealth of exercises at the end of each section ??? . Altogether, the author has given us a wonderful textbook for use in classroom and in seminars." (Dieter Gaier, Zentralblatt MATH, Vol. 978, 2002)

"The author wishes to provide beginners with standard material in a rather flexible course. ??? The preface contains useful hints for both instructors and students. More than 800 well-chosen exercises with 20 pages of hints and solutions, together with clear and concise expositions of many results, make this book enjoyable even for specialists in the field. The book is recommended for libraries, students, and teachers of both undergraduate and graduate courses." (Acta Scientiarum Mathematicarum, Vol. 68, 2002)

"This book has the somewhat unusual aim of providing a primer in complex analysis at three different levels - a basic undergraduate introduction, a course for those who have decided to specialise as part of their firstdegree and a more demanding treatment of postgraduate topics. ??? I can certainly recommend this book to all those who wish to experience (in the author??'s own words) the ???fascinating and wonderful world??? of complex analysis, ???filled with broad avenues and narrow backstreets leading to intellectual excitement.???" (Gerry Leversha, European Mathematical Society Newsletter, Issue 42, December 2001)

From the reviews:

"More than 800 well-chosen exercises with 20 pages of hints and solutions, together with clear and concise expositions of many results, makes this book enjoyable even for specialists in the field. The book is recommended for libraries, students, and teachers of both undergraduate and graduate courses."
Newsletter of the EMS, Issue 42, December 2001

"This is a wonderful book about the fundamentals of complex analysis. It touches all essential parts of complex function theory, and very often goes deeper into the subject than most elementary texts. a ] I find the pace, style and didactics in the presentation perfect. a ] All in all, this is one of the best if not the best book on the elementary theory of complex functions, and it can serve as a textbook as well as a reference book." (V. Totik, Mathematical Reviews, Issue 2002 h)

"This is a well organized textbook on complex analysis a ] . Each part of the book contains some interesting exercises which give many new insights into further developments and enhance the usefulness of the book. At the end of the book there are hints and solutions for selected exercises." (F. Haslinger, Internationale Mathematische Nachrichten, Vol. 56 (191), 2002)

"As the book begins with the rudiments of the subject and goes upto an advanced level, it will be equally useful to the undergraduates and to students at the pre Ph. D. level. The numerous applications to Physics found in the book redound to its value in the hands of students of Mathematics, Physics and Engineering alike." (K. S. Padmanabhan, Journal of the Indian Academy of Mathematics, Vol. 24 (1), 2002)

"This is a beautiful book which provides a very goodintroduction to complex analysis for students with some familiarity with complex numbers. a ] The book is clearly written, with rigorous proofs, in a pleasant and accessible style. It is warmly recommended to students and all researchers in complex analysis." (Gabriela Kohr, The Mathematical Gazette, Vol. 86 (506), 2002)

"The author of this fine textbook is a prominent function theorist. He leads the reader in a careful but far-sighted way from the elements of complex analysis to advanced topics in function theory and at some points to topics of modern research. a ] We found, however, that a special feature of the book is the wealth of exercises at the end of each section a ] . Altogether, the author has given us a wonderful textbook for use in classroom and in seminars." (Dieter Gaier, Zentralblatt MATH, Vol. 978, 2002)

"The author wishes to provide beginners with standard material in a rather flexible course. a ] The preface contains useful hints for both instructors and students. More than 800 well-chosen exercises with 20 pages of hints and solutions, together with clear and concise expositions of many results, make this book enjoyable even for specialists in the field. The book is recommended for libraries, students, and teachers of both undergraduate and graduate courses." (Acta Scientiarum Mathematicarum, Vol. 68, 2002)

"This book has the somewhat unusual aim of providing a primer in complex analysis at three different levels - a basic undergraduate introduction, a course for those who have decided to specialise as part of their first degree and a more demanding treatment of postgraduate topics. a ] I can certainly recommend this book to all those who wish to experience(in the authora (TM)s own words) the a ~fascinating and wonderful worlda (TM) of complex analysis, a ~filled with broad avenues and narrow backstreets leading to intellectual excitement.a (TM)" (Gerry Leversha, European Mathematical Society Newsletter, Issue 42, December 2001)

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Theodore W. Gamelin
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Descrizione libro Springer, 2001. Hardcover. Condizione libro: New. 2001. This item is printed on demand. Codice libro della libreria DADAX0387950931

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Descrizione libro Springer-Verlag New York Inc., United States, 2001. Hardback. Condizione libro: New. New edition. Language: English . Brand New Book. An introduction to complex analysis for students with some knowledge of complex numbers from high school. It contains sixteen chapters, the first eleven of which are aimed at an upper division undergraduate audience. The remaining five chapters are designed to complete the coverage of all background necessary for passing PhD qualifying exams in complex analysis. Topics studied include Julia sets and the Mandelbrot set, Dirichlet series and the prime number theorem, and the uniformization theorem for Riemann surfaces, with emphasis placed on the three geometries: spherical, euclidean, and hyperbolic. Throughout, exercises range from the very simple to the challenging. The book is based on lectures given by the author at several universities, including UCLA, Brown University, La Plata, Buenos Aires, and the Universidad Autonomo de Valencia, Spain. Codice libro della libreria AAW9780387950938

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Descrizione libro Springer, 2001. Condizione libro: New. 478 pp., Hardcover, NEW!!!. Codice libro della libreria ZB1060204

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Descrizione libro Springer-Verlag New York Inc., United States, 2001. Hardback. Condizione libro: New. New edition. Language: English . Brand New Book. An introduction to complex analysis for students with some knowledge of complex numbers from high school. It contains sixteen chapters, the first eleven of which are aimed at an upper division undergraduate audience. The remaining five chapters are designed to complete the coverage of all background necessary for passing PhD qualifying exams in complex analysis. Topics studied include Julia sets and the Mandelbrot set, Dirichlet series and the prime number theorem, and the uniformization theorem for Riemann surfaces, with emphasis placed on the three geometries: spherical, euclidean, and hyperbolic. Throughout, exercises range from the very simple to the challenging. The book is based on lectures given by the author at several universities, including UCLA, Brown University, La Plata, Buenos Aires, and the Universidad Autonomo de Valencia, Spain. Codice libro della libreria AAW9780387950938

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Descrizione libro Springer New York 2001-05-18, New York, NY, 2001. hardback. Condizione libro: New. Codice libro della libreria 9780387950938

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Descrizione libro Springer-Verlag New York Inc., 2001. HRD. Condizione libro: New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Codice libro della libreria IP-9780387950938

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Descrizione libro Springer-Verlag New York Inc. Hardback. Condizione libro: new. BRAND NEW, Complex Analysis (New edition), Theodore W. Gamelin, An introduction to complex analysis for students with some knowledge of complex numbers from high school. It contains sixteen chapters, the first eleven of which are aimed at an upper division undergraduate audience. The remaining five chapters are designed to complete the coverage of all background necessary for passing PhD qualifying exams in complex analysis. Topics studied include Julia sets and the Mandelbrot set, Dirichlet series and the prime number theorem, and the uniformization theorem for Riemann surfaces, with emphasis placed on the three geometries: spherical, euclidean, and hyperbolic. Throughout, exercises range from the very simple to the challenging. The book is based on lectures given by the author at several universities, including UCLA, Brown University, La Plata, Buenos Aires, and the Universidad Autonomo de Valencia, Spain. Codice libro della libreria B9780387950938

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Descrizione libro Springer, 2001. Condizione libro: New. Provides an introduction to complex analysis for students with some knowledge of complex numbers from high school. This title contains sixteen chapters, the first eleven of which are aimed at an upper division undergraduate audience. Series: Undergraduate Texts in Mathematics. Num Pages: 478 pages, 18 black & white illustrations, biography. BIC Classification: PBKD. Category: (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 164 x 241 x 36. Weight in Grams: 932. . 2001. 2001st Edition. Hardcover. . . . . . Codice libro della libreria V9780387950938

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Descrizione libro Springer, 2001. Hardcover. Condizione libro: New. book. Codice libro della libreria 0387950931

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Descrizione libro Springer, 2001. Condizione libro: New. book. Codice libro della libreria ria9780387950938_rkm

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