This introduction to the theory of complex functions is based on the teaching experience of the authors, and therefore some of the topics are presented in a different form. For instance, the multi-valued properties of the argument function are discussed in detail so that the beginner may readily grasp the elementary multi-valued analytic functions. The residue theorem is extended to the case where poles of analytic functions considered may occur on the boundary of a region - which is useful in applications but not usually seen in textbooks written in English.
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This text emphasizes the application aspects of the theory of complex functions and is written in contemporary and readable form. -- Zentralblatt MATH
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Inside This Book
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First Sentence:
The reader is familiar with the field of real numbers R. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
univalent region, extended residue theorem, detached neighborhood, analytic branches, complex flux, simple closed contour, univalent function, upper bank, removable singularity, analytic extension, multiply connected regions, positive real values, positive real axis, analytic elements, complex integrals, function analytic, lower bank, extremum principle, isolated singularities, limiting point Key Phrases - Capitalized Phrases (CAPs): (learn more)
Solution Let, Find Res, Proof Assume, Proof Let, Find the Taylor, Proof Draw, Proof First, Proof Take New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
The reader is familiar with the field of real numbers R. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
univalent region, extended residue theorem, detached neighborhood, analytic branches, complex flux, simple closed contour, univalent function, upper bank, removable singularity, analytic extension, multiply connected regions, positive real values, positive real axis, analytic elements, complex integrals, function analytic, lower bank, extremum principle, isolated singularities, limiting point Key Phrases - Capitalized Phrases (CAPs): (learn more)
Solution Let, Find Res, Proof Assume, Proof Let, Find the Taylor, Proof Draw, Proof First, Proof Take New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 11
books:
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1
book
cites this book:
- Topics in Integral Geometry (Series in Pure Mathematics) by Ren De-Lin in Front Matter
- Structuralism and Structures (Series in Pure Mathematics) by Charles E. Rickart in Front Matter
- Topics in Mathematical Analysis: A Volume Dedicated to the Memory of A L Cauchy (Series in Pure Mathematics) by Thermistocles M. Rassias in Front Matter
- Almost Complex and Complex Structures (Series in Pure Mathematics) by C. C. Hsiung in Front Matter
- Topics in Mathematical Analysis and Differential Geometry (Series in Pure Mathematics) by N. K. Laos in Front Matter
See all 11 books this book cites
- The Goldbach Conjecture (2nd Edition) by Yuan Wang in Front Matter
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