TY  - BOOK
AU  - Bak,Joseph
AU  - Newman,Donald J.
TI  - Complex analysis
T2  - Undergraduate texts in mathematics
SN  - 0387947566
AV  - QA331.7 .B35 1997
PY  - 1997///]
CY  - New York
PB  - Springer
KW  - Functions of complex variables
KW  - Analytic functions
KW  - Fonctions analytiques
KW  - Fonctions d'une variable complexe
KW  - Lehrbuch
KW  - swd
N1  - Includes bibliographical references (page 290) and index; 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
N2  - "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
ER  -