The new Second Edition of A First Course in Complex Analysis with Applications is a truly accessible introduction to the fundamental principles and applications of complex analysis. Designed for the undergraduate student with a calculus background but no prior experience with complex variables, this text discusses theory of the most relevant mathematical topics in a student-friendly manor. With Zill's clear and straightforward writing style, concepts are introduced through numerous examples and clear illustrations. Students are guided and supported through numerous proofs providing them with a higher level of mathematical insight and maturity. Each chapter contains a separate section on the applications of complex variables, providing students with the opportunity to develop a practical and clear understanding of complex analysis.
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Most Helpful Customer Reviews
10 of 10 people found the following review helpful
Format:Hardcover
I used this book for two Graduate semesters of Complex Analysis. The course text was Brown and Churchill which I often found lacking in detail. This book might not be consider by some as a Graduate level text however I found it to be an excellent supplemental text to fill in the gaps and improve my understanding of the material.
8 of 8 people found the following review helpful
Format:Hardcover
I used this book for an undergrad course in Complex Analysis. This book is great for undergraduates looking for some sort of exposure to the realm of complex analysis and is is especially great for students of Physics and EngineeringThe book covers the basics of analytic function theory, Cauchy-Riemann Equations, Cauchy Integral Theorems, Series and Sequences, Conformal Mapping, Residue Calculus, as well as a section of applications at the end of every chapter. The book is very readable, and a lot more beginner-friendly as opposed to Alfhors, which would be the next great read for the student interested in complex analysis at the graduate level. Overall this is a great intro to some really beautiful mathematics. I know I enjoyed the book.
7 of 7 people found the following review helpful
Format:Hardcover
I used this book in conjunction with "Fundamentals of Complex Analysis..." by Saff et al for a graduate level course.
This book gives very clear introductions and explanations of complex variable concepts and served as a boon for my first complex variable course; I went through many other books but they all seemed to be much more abstract that this one. If you're new to the world of complex variables and have trouble reading existing books, this book may very well be your life saver.
Another reference: Search for "Complex Analysis Modules by Mathews") on google. This served as a great online reference and has a corresponding book: COMPLEX ANALYSIS: for Mathematics and Engineering by John H. Mathews and Russell W. Howell. Although I did not read this book, the author has put up wonderful online notes which I did use.
This book gives very clear introductions and explanations of complex variable concepts and served as a boon for my first complex variable course; I went through many other books but they all seemed to be much more abstract that this one. If you're new to the world of complex variables and have trouble reading existing books, this book may very well be your life saver.
Another reference: Search for "Complex Analysis Modules by Mathews") on google. This served as a great online reference and has a corresponding book: COMPLEX ANALYSIS: for Mathematics and Engineering by John H. Mathews and Russell W. Howell. Although I did not read this book, the author has put up wonderful online notes which I did use.
Most Recent Customer Reviews
lots of problems to practice with
This book is a good reference because of its vast quantity of straightforward numerical problems. The book for the course I was taking was Complex Variables by Brown and Churchill,... Read more
Published 5 months ago by Rolla Computer Engineering Student
Physics major's perfect companion
This book is the best book for self study I found. Now that it has a self study guide with every other odd problem worked it even adds to its value. Read more
Published 24 months ago by Bobbie Cotton
Best Book on Complex Analysis
( You can see a sample of this book on Google Books (just type in the books name), also a sample of the Student Guide). Read more
Published on November 27, 2009 by NovaGhost
Inside This Book
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Key Phrases - Statistically Improbable Phrases (SIPs):
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analytic functions, special power functions, shown ill color, colllplex plane, principal square root function, coutplex plane, complex velocity potential, complex linear function, generalized circle, complex potential function, real exponential function, real calculus, complex logarithm, ray arg, complex sine, complex trigonometric, planar flow, whose initial point, complex exponential function, equipotential curves, extended complex plane, deleted neighborhood, polygonal region, fluid ill, squaring function Key Phrases - Capitalized Phrases (CAPs): (learn more)
Elementary Functions, Solution Let, Conformal Mappings, Sec Figure, Proof Let, The Power Function, Complex Fun, Use Problem, Sets of Points, Use Definition, Solution First, Review Quiz, Appendix Ill, Use Theorem, Proof Suppose, Behavior of Integral, Residue Theorem Evaluate, Applying Theorem, Some Consequences of the Residue Theorem, Complex Integrals, Applications In Section, Inspection of Figure, Independence of Path, Harmonic Functions, Ili Problems Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
analytic functions, special power functions, shown ill color, colllplex plane, principal square root function, coutplex plane, complex velocity potential, complex linear function, generalized circle, complex potential function, real exponential function, real calculus, complex logarithm, ray arg, complex sine, complex trigonometric, planar flow, whose initial point, complex exponential function, equipotential curves, extended complex plane, deleted neighborhood, polygonal region, fluid ill, squaring function Key Phrases - Capitalized Phrases (CAPs): (learn more)
Elementary Functions, Solution Let, Conformal Mappings, Sec Figure, Proof Let, The Power Function, Complex Fun, Use Problem, Sets of Points, Use Definition, Solution First, Review Quiz, Appendix Ill, Use Theorem, Proof Suppose, Behavior of Integral, Residue Theorem Evaluate, Applying Theorem, Some Consequences of the Residue Theorem, Complex Integrals, Applications In Section, Inspection of Figure, Independence of Path, Harmonic Functions, Ili Problems Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
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