Synopses & Reviews
The Second Edition of this acclaimed text helps you apply theory to real-world applications in mathematics, physics, and engineering. It easily guides you through complex analysis with its excellent coverage of topics such as series, residues, and the evaluation of integrals; multi-valued functions; conformal mapping; dispersion relations; and analytic continuation. Worked examples plus a large number of assigned problems help you understand how to apply complex concepts and build your own skills by putting them into practice. This edition features many new problems, revised sections, and an entirely new chapter on analytic continuation.
Review
From the reviews of the second edition: "The book is aimed to two purposes: to present material for a first course in complex analysis ... and to provide subjects for a second course ... . The book is recommended for teaching and for self-study." (Heinrich Begehr, Zentralblatt MATH, Vol. 1195, 2010)
Synopsis
Complex Analysis with Applications in Science and Engineering weaves together theory and extensive applications in mathematics, physics and engineering. In this edition there are many new problems, revised sections, and an entirely new chapter on analytic continuation. This work will serve as a textbook for undergraduate and graduate students in the areas noted above.
Key Features of this Second Edition:
Excellent coverage of topics such as series, residues and the evaluation of integrals, multivalued functions, conformal mapping, dispersion relations and analytic continuation
Systematic and clear presentation with many diagrams to clarify discussion of the material
Numerous worked examples and a large number of assigned problems
Synopsis
The second edition of this acclaimed text helps you apply theory to real-world applications in mathematics, physics, and engineering. Worked examples plus assigned problems help you build your own skills by putting them into practice.
Synopsis
Complex Analysis with Applications in Science and Engineering weaves together theory and extensive applications
Table of Contents
Introduction.- Complex Numbers.- Complex Variables.- Series, Limits and Residues.- Evaluation of Integrals.- Multivalued Functions, Branch Points and Cuts.- Singularities of Functions Defined by Integrals.- Conformal Mapping.- Dispersion Relations.- Analytic Continuation.- Appendix 1.- Appendix 2.- Appendix 3.- Appendix 4.- Appendix 5.- Appendix 6.- Appendix 7.- Appendix 8.- References.- Index.