Applied complex variables for scientists and engineers:
This introduction to complex variable methods begins by carefully defining complex numbers and analytic functions, and proceeds to give accounts of complex integration, Taylor series, singularities, residues and mappings. Both algebraic and geometric tools are employed to provide the greatest unders...
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1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cambridge
Cambridge University Press
2010
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Ausgabe: | Second edition |
Schlagworte: | |
Online-Zugang: | BSB01 FHN01 URL des Erstveröffentlichers |
Zusammenfassung: | This introduction to complex variable methods begins by carefully defining complex numbers and analytic functions, and proceeds to give accounts of complex integration, Taylor series, singularities, residues and mappings. Both algebraic and geometric tools are employed to provide the greatest understanding, with many diagrams illustrating the concepts introduced. The emphasis is laid on understanding the use of methods, rather than on rigorous proofs. Throughout the text, many of the important theoretical results in complex function theory are followed by relevant and vivid examples in physical sciences. This second edition now contains 350 stimulating exercises of high quality, with solutions given to many of them. Material has been updated and additional proofs on some of the important theorems in complex function theory are now included, e.g. the Weierstrass–Casorati theorem. The book is highly suitable for students wishing to learn the elements of complex analysis in an applied context |
Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
Beschreibung: | 1 online resource (xi, 438 pages) |
ISBN: | 9780511844690 |
DOI: | 10.1017/CBO9780511844690 |
Internformat
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245 | 1 | 0 | |a Applied complex variables for scientists and engineers |c Yue Kuen Kwok |
246 | 1 | 3 | |a Applied Complex Variables for Scientists & Engineers |
250 | |a Second edition | ||
264 | 1 | |a Cambridge |b Cambridge University Press |c 2010 | |
300 | |a 1 online resource (xi, 438 pages) | ||
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500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
505 | 8 | |a Machine generated contents note: Preface; 1. Complex numbers; 2. Analytic functions; 3. Exponential, logarithmic and trigonometric functions; 4. Complex integration; 5. Taylor and Laurent series; 6. Singularities and calculus of residues; 7. Boundary value problems and initial-boundary value problems; 8. Conformal mappings and applications; Answers to problems; Index | |
520 | |a This introduction to complex variable methods begins by carefully defining complex numbers and analytic functions, and proceeds to give accounts of complex integration, Taylor series, singularities, residues and mappings. Both algebraic and geometric tools are employed to provide the greatest understanding, with many diagrams illustrating the concepts introduced. The emphasis is laid on understanding the use of methods, rather than on rigorous proofs. Throughout the text, many of the important theoretical results in complex function theory are followed by relevant and vivid examples in physical sciences. This second edition now contains 350 stimulating exercises of high quality, with solutions given to many of them. Material has been updated and additional proofs on some of the important theorems in complex function theory are now included, e.g. the Weierstrass–Casorati theorem. The book is highly suitable for students wishing to learn the elements of complex analysis in an applied context | ||
650 | 4 | |a Functions of complex variables / Textbooks | |
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Datensatz im Suchindex
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author | Kwok, Y. K. 1957- |
author_facet | Kwok, Y. K. 1957- |
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contents | Machine generated contents note: Preface; 1. Complex numbers; 2. Analytic functions; 3. Exponential, logarithmic and trigonometric functions; 4. Complex integration; 5. Taylor and Laurent series; 6. Singularities and calculus of residues; 7. Boundary value problems and initial-boundary value problems; 8. Conformal mappings and applications; Answers to problems; Index |
ctrlnum | (ZDB-20-CBO)CR9780511844690 (OCoLC)839033829 (DE-599)BVBBV043943670 |
dewey-full | 515/.9 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 515 - Analysis |
dewey-raw | 515/.9 |
dewey-search | 515/.9 |
dewey-sort | 3515 19 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1017/CBO9780511844690 |
edition | Second edition |
format | Electronic eBook |
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isbn | 9780511844690 |
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spelling | Kwok, Y. K. 1957- Verfasser aut Applied complex variables for scientists and engineers Yue Kuen Kwok Applied Complex Variables for Scientists & Engineers Second edition Cambridge Cambridge University Press 2010 1 online resource (xi, 438 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) Machine generated contents note: Preface; 1. Complex numbers; 2. Analytic functions; 3. Exponential, logarithmic and trigonometric functions; 4. Complex integration; 5. Taylor and Laurent series; 6. Singularities and calculus of residues; 7. Boundary value problems and initial-boundary value problems; 8. Conformal mappings and applications; Answers to problems; Index This introduction to complex variable methods begins by carefully defining complex numbers and analytic functions, and proceeds to give accounts of complex integration, Taylor series, singularities, residues and mappings. Both algebraic and geometric tools are employed to provide the greatest understanding, with many diagrams illustrating the concepts introduced. The emphasis is laid on understanding the use of methods, rather than on rigorous proofs. Throughout the text, many of the important theoretical results in complex function theory are followed by relevant and vivid examples in physical sciences. This second edition now contains 350 stimulating exercises of high quality, with solutions given to many of them. Material has been updated and additional proofs on some of the important theorems in complex function theory are now included, e.g. the Weierstrass–Casorati theorem. The book is highly suitable for students wishing to learn the elements of complex analysis in an applied context Functions of complex variables / Textbooks Funktionentheorie (DE-588)4018935-1 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Funktionentheorie (DE-588)4018935-1 s 2\p DE-604 Erscheint auch als Druckausgabe 978-0-521-70138-9 https://doi.org/10.1017/CBO9780511844690 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Kwok, Y. K. 1957- Applied complex variables for scientists and engineers Machine generated contents note: Preface; 1. Complex numbers; 2. Analytic functions; 3. Exponential, logarithmic and trigonometric functions; 4. Complex integration; 5. Taylor and Laurent series; 6. Singularities and calculus of residues; 7. Boundary value problems and initial-boundary value problems; 8. Conformal mappings and applications; Answers to problems; Index Functions of complex variables / Textbooks Funktionentheorie (DE-588)4018935-1 gnd |
subject_GND | (DE-588)4018935-1 (DE-588)4123623-3 |
title | Applied complex variables for scientists and engineers |
title_alt | Applied Complex Variables for Scientists & Engineers |
title_auth | Applied complex variables for scientists and engineers |
title_exact_search | Applied complex variables for scientists and engineers |
title_full | Applied complex variables for scientists and engineers Yue Kuen Kwok |
title_fullStr | Applied complex variables for scientists and engineers Yue Kuen Kwok |
title_full_unstemmed | Applied complex variables for scientists and engineers Yue Kuen Kwok |
title_short | Applied complex variables for scientists and engineers |
title_sort | applied complex variables for scientists and engineers |
topic | Functions of complex variables / Textbooks Funktionentheorie (DE-588)4018935-1 gnd |
topic_facet | Functions of complex variables / Textbooks Funktionentheorie Lehrbuch |
url | https://doi.org/10.1017/CBO9780511844690 |
work_keys_str_mv | AT kwokyk appliedcomplexvariablesforscientistsandengineers AT kwokyk appliedcomplexvariablesforscientistsengineers |