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A Guide to Complex Variables

A Guide to Complex Variables

A Guide to Complex Variables

This book has plenty of figures, plenty of examples, copious commentary, and even in-text exercises for the students. But, since it is not a formal textbook, it does not have exercise sets. It does not have a Glossary or a Table of Notation. Topics covered includes: The Complex Plane, Complex Line Integrals, Applications of the Cauchy Theory, Isolated Singularities and Laurent Series, The Argument Principle, The Geometric Theory of Holomorphic Functions, Harmonic Functions, Infinite Series and Products, Analytic Continuation .

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s185 Pages
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A Guide to Complex Variables

A Guide to Complex Variables

This book has plenty of figures, plenty of examples, copious commentary, and even in-text exercises for the students. But, since it is not a formal textbook, it does not have exercise sets. It does not have a Glossary or a Table of Notation. Topics covered includes: The Complex Plane, Complex Line Integrals, Applications of the Cauchy Theory, Isolated Singularities and Laurent Series, The Argument Principle, The Geometric Theory of Holomorphic Functions, Harmonic Functions, Infinite Series and Products, Analytic Continuation .

s185 Pages
Complex Variables by R. B. Ash and W.P. Novinger

Complex Variables by R. B. Ash and W.P. Novinger

The book is intended as a text, appropriate for use by advanced undergraduates or graduate students who have taken a course in introductory real analysis, or as it is often called, advanced calculus. No background in complex variables is assumed, thus making the text suitable for those encountering the subject for the first time. The Elementary Theory, General Cauchy Theorem , Applications of the Cauchy Theory, Families of Analytic Functions, Factorization of Analytic Functions and The Prime Number Theorem.

s220 Pages