Bak J., Newman D. Complex Analysis 3ed 2017+Sol.Man. torrent

Textbook in PDF format

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.
Preface to the Third Edition.
Preface to the Second Edition.
The Complex Numbers.
Functions of the Complex Variable z.
Analytic Functions.
Line Integrals and Entire Functions.
Properties of Entire Functions.
Properties of Analytic Functions.
Further Properties of Analytic Functions.
Simply Connected Domains.
Isolated Singularities of an Analytic Function.
The Residue Theorem.
Applications of the Residue Theorem to the Evaluation of Integrals and Sums.
Further Contour Integral Techniques.
Introduction to Conformal Mapping.
The Riemann Mapping Theorem.
Maximum-Modulus Theorems for Unbounded Domains.
Harmonic Functions.
Different Forms of Analytic Functions.
Analytic Continuation; The Gamma and Zeta Functions.
Applications to Other Areas of Mathematics.
Answers.
References.
Appendices.
Index.

Sol.Man
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This is a complete solution guide to all exercises in Bak and Newman's "Complex Analysis". The features of this book are as follows:
It covers all the 300 exercises with detailed and complete solutions.
There are 34 illustrations for explaining the mathematical concepts or ideas used behind the questions or theorems.
Different colors are used in order to highlight or explain problems, lemmas, remarks, main points/formulas involved, or show the steps of manipulation in some complicated proofs. (ebook only).
Necessary lemmas with proofs are provided.
Useful or relevant references are provided to some questions for interested readers.
The Complex Numbers
Functions of the Complex Variablez
Analytic Functions
Line Integrals and Entire Functions
Properties of Entire Functions
Properties of Analytic Functions
Further Properties of Analytic Functions
Simply Connected Domains
Isolated Singularities of an Analytic Function
The Residue Theorem
Applications of the Residue Theorem to the Evaluation
Further Contour Integral Techniques
Introduction to Conformal Mapping
The Riemann Mapping Theorem
Maximum-Modulus Theorems for Unbounded Domains
Harmonic Functions
Different Forms of Analytic Functions
Analytic Continuation; The Gamma and Zeta Functions
Applications to Other Areas of Mathematics