Free Ebook Complex Variables with Applications, by Saminathan Ponnusamy, Herb Silverman
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Complex Variables with Applications, by Saminathan Ponnusamy, Herb Silverman
Free Ebook Complex Variables with Applications, by Saminathan Ponnusamy, Herb Silverman
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Explores the interrelations between real and complex numbers by adopting both generalization and specialization methods to move between them, while simultaneously examining their analytic and geometric characteristics
Engaging exposition with discussions, remarks, questions, and exercises to motivate understanding and critical thinking skills
Encludes numerous examples and applications relevant to science and engineering students
- Sales Rank: #1940578 in Books
- Brand: Brand: Birkhäuser
- Published on: 2006-09-13
- Original language: English
- Number of items: 1
- Dimensions: 9.21" h x 1.13" w x 6.14" l, 1.86 pounds
- Binding: Hardcover
- 514 pages
- Used Book in Good Condition
Review
"A good point of the book is the selections of questions and exercises at the end of each section. They are very carefully selected and will help students with reading comprehension and with application of the material of the current section. Most of the time the exercises progress nicely from simple applications of concepts to problems that will expand the student’s horizons." –MAA Reviews
"By using this book the reader can get a good background on complex analysis and become ready for further study of deeper chapters of Complex Analysis and its Applications."–Zentralblatt Math
From the Back Cover
Complex numbers can be viewed in several ways: as an element in a field, as a point in the plane, and as a two-dimensional vector. Examined properly, each perspective provides crucial insight into the interrelations between the complex number system and its parent, the real number system. The authors explore these relationships by adopting both generalization and specialization methods to move from real variables to complex variables, and vice versa, while simultaneously examining their analytic and geometric characteristics, using geometry to illustrate analytic concepts and employing analysis to unravel geometric notions.
The engaging exposition is replete with discussions, remarks, questions, and exercises, motivating not only understanding on the part of the reader, but also developing the tools needed to think critically about mathematical problems. This focus involves a careful examination of the methods and assumptions underlying various alternative routes that lead to the same destination.
The material includes numerous examples and applications relevant to engineering students, along with some techniques to evaluate various types of integrals. The book may serve as a text for an undergraduate course in complex variables designed for scientists and engineers or for mathematics majors interested in further pursuing the general theory of complex analysis. The only prerequisite is a basic knowledge of advanced calculus. The presentation is also ideally suited for self-study.
Most helpful customer reviews
2 of 3 people found the following review helpful.
A well-written textbook that provides exercises that you can actually solve.
By Kut Shargul
A standard introduction to complex variables. Sometimes the book delve into details and introduce strange notations, but most of the time the explanation is standard and easy to follow.
One good thing about this book is that before challenging the readers with difficult problems, the authors wrote ten easy problems that can determine whether you have grasped the basic concepts in the section. I found these easy questions really useful (and even though they were meant to be easy, I found myself going back to re-read quite often.)
Overall, I would recommend this book to someone who wants to start learning about complex variable.
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