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• catalog abstract ""This unusual and lively textbook on complex variables introduces the theory of analytic functions, explores its diverse applications, and shows the reader how to harness its powerful techniques. Complex Analysis offers new and interesting motivations for classical results and introduces related topics which have not appeared in this form in the past. Stressing motivation and technique, and complete with exercise sets, this volume may be used both as a basic text and as a reference."--Jacket.".
• catalog contributor b10191431.
• catalog contributor b10191432.
• catalog created "1997.".
• catalog date "1996".
• catalog date "1997.".
• catalog dateCopyrighted "1997.".
• catalog description ""This unusual and lively textbook on complex variables introduces the theory of analytic functions, explores its diverse applications, and shows the reader how to harness its powerful techniques. Complex Analysis offers new and interesting motivations for classical results and introduces related topics which have not appeared in this form in the past. Stressing motivation and technique, and complete with exercise sets, this volume may be used both as a basic text and as a reference."--Jacket.".
• catalog description "1. The Complex Numbers -- 2. Functions of the Complex Variable z -- 3. Analytic Functions -- 4. Line Integrals and Entire Functions -- 5. Properties of Entire Functions -- 6. Properties of Analytic Functions -- 7. Further Properties of Analytic Functions -- 8. Simply Connected Domains -- 9. Isolated Singularities of an Analytic Function -- 10. The Residue Theorem -- 11. Applications of The Residue Theorem to the Evaluation of Integrals Sums -- 12. Further Contour Integral Techniques -- 13. Introduction to Conformal Mapping -- 14. The Riemann Mapping Theorem -- 15. Maximum-Modulus Theorems for Unbounded Domains -- 16. Harmonic Functions -- 17. Different Forms of Analytic Functions -- 18. Analytic Continuation; The Gamma and Zeta Functions -- 19. Applications to Other Areas of Mathematics -- App. I.A Note on Simply Connected Regions -- App. II. Circulation and Flux as Contour Integrals -- App. III. Steady-State Temperatures; The Heat Equation -- App. IV. Tchebychev Estimates.".
• catalog description "Includes bibliographical references and index.".
• catalog extent "x, 294 p. :".
• catalog identifier "0387947566 (hardcover : alk. paper)".
• catalog isPartOf "Undergraduate texts in mathematics".
• catalog issued "1996".
• catalog issued "1997.".
• catalog language "eng".
• catalog publisher "New York : Springer,".
• catalog subject "515/.9 20".
• catalog subject "Analytic functions.".
• catalog subject "Functions of complex variables.".
• catalog subject "QA331.7 .B35 1997".
• catalog tableOfContents "1. The Complex Numbers -- 2. Functions of the Complex Variable z -- 3. Analytic Functions -- 4. Line Integrals and Entire Functions -- 5. Properties of Entire Functions -- 6. Properties of Analytic Functions -- 7. Further Properties of Analytic Functions -- 8. Simply Connected Domains -- 9. Isolated Singularities of an Analytic Function -- 10. The Residue Theorem -- 11. Applications of The Residue Theorem to the Evaluation of Integrals Sums -- 12. Further Contour Integral Techniques -- 13. Introduction to Conformal Mapping -- 14. The Riemann Mapping Theorem -- 15. Maximum-Modulus Theorems for Unbounded Domains -- 16. Harmonic Functions -- 17. Different Forms of Analytic Functions -- 18. Analytic Continuation; The Gamma and Zeta Functions -- 19. Applications to Other Areas of Mathematics -- App. I.A Note on Simply Connected Regions -- App. II. Circulation and Flux as Contour Integrals -- App. III. Steady-State Temperatures; The Heat Equation -- App. IV. Tchebychev Estimates.".
• catalog title "Complex analysis / Joseph Bak, Donald J Newman.".
• catalog type "Lehrbuch. swd".
• catalog type "text".