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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 Notes Revised

Complex Variables Notes Revised

This note covers the following topics: Complex Numbers, Euler’s Formula, Roots and multi-valued arithmetic, Functions from C to C, Continuity and Limits, Analytic and entire functions, Harmonic Conjugates, Morera’s Theorem, Taylor’s Theorem, Laurent Series and Residues.

s93 Pages