A First Course In Complex Analysis With Applications Limits Theoretical Coverage To Only What Is Necessary, And Conveys It In A Student-Friendly Style. Its Aim Is To Introduce The Basic Principles And Applications Of Complex Analysis To Undergraduates Who Have No Prior Knowledge Of This Subject. Contents Of The Book Include The Complex Number System, Complex Functions And Sequences, As Well As Real Integrals; In Addition To Other Concepts Of Calculus, And The Functions Of A Complex Variable. This Text Is Written For Junior-Level Undergraduate Students Who Are Majoring In Math, Physics, Computer Science, And Electrical Engineering.
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Most Helpful Customer Reviews
9 of 9 people found the following review helpful:
5.0 out of 5 stars
Excellent supplment to Brown and Churchill,
This review is from: A First Course in Complex Analysis (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.
7 of 7 people found the following review helpful:
5.0 out of 5 stars
Great introductory text on Complex Analysis,
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This review is from: A First Course in Complex Analysis (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:
5.0 out of 5 stars
Great book for engineers,
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This review is from: A First Course in Complex Analysis (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.
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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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