- Tapa dura: 342 páginas
- Editor: Springer; Edición: 3rd ed. 2010 (6 de agosto de 2010)
- Colección: Undergraduate Texts in Mathematics
- Idioma: Inglés
- ISBN-10: 1441972870
- ISBN-13: 978-1441972873
- Valoración media de los clientes: Sé el primero en opinar sobre este producto
- Clasificación en los más vendidos de Amazon: nº26.880 en Libros en idiomas extranjeros (Ver el Top 100 en Libros en idiomas extranjeros)
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Complex Analysis (Undergraduate Texts in Mathematics) (Inglés) Tapa dura – 6 ago 2010
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Descripción del producto
From the reviews of the third edition:“The book of the known mathematicians J. Bak and D. Newman is an excellent introduction into the theory of analytic functions of one complex variable. The book is written on an elementary level and so it supports students in the early stages of their mathematical studies. … The book also contains many illustrations, examples and exercises, which give additional information and explanations.” (Konstantin Malyutin, Zentralblatt MATH, Vol. 1205, 2011)
Reseña del editor
This unusual and lively textbook offers a clear and intuitive approach to the classical and beautiful theory of complex variables. With very little dependence on advanced concepts from several-variable calculus and topology, the text focuses on the authentic complex-variable ideas and techniques. Accessible to students at their early stages of mathematical study, this full first year course in complex analysis offers new and interesting motivations for classical results and introduces related topics stressing motivation and technique. Numerous illustrations, examples, and now 300 exercises, enrich the text. Students who master this textbook will emerge with an excellent grounding in complex analysis, and a solid understanding of its wide applicability.Ver Descripción del producto
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There are solutions to about half of the problems in the back, but only the answer is given [for example: (+/-) (1+3i)], which tells you whether or not you were correct, but it does not tell you where you went wrong in your several pages of work. If you don't know how to solve the problem, the solution alone is not helpful.
The examples given in the book are also not helpful. They always skip over many steps, and it took me at least 30 minutes to reconstruct all the missing steps in order to figure out what the book examples were trying to say. In addition, many of the examples give no explanation at all; they merely list an example problem and its solution. Without showing how to solve the problem, the book does not help you learn how to solve problems for your exams and homework.
Because of these problems, I rarely used this book in my course. I completed homework problems from the book each week, but I used online sources to figure out how to solve the problems. I used this book mainly to check that my answers were correct.
For what it's worth, I feel like I'm more of an algebraist.
After spending many years feeling inadequate about my complex analysis skills, I bought this book.
I did not feel like I had hope on my side.
I used Chapters 1 - 15, plus additional topics from later chapters.
For chapters that I worked through, I did every darn problem (checking solutions against those that exist in the back of the book).
If you can work through one section (not chapter!) every few days, then you should have a pretty good general feel for the subject.
It's a beautiful book, and a great preparation for Lars Ahlfors' "Complex Analysis" book.