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An introduction to complex analysis / (Agarwal, Ravi P.)
Bibliographical information (record 336222)
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An introduction to complex analysis /
Author:
 Agarwal, Ravi P. Search Author in Amazon Books

Publisher:
Springer,
ISBN:
 9781461401940
Edition:
 2011.
Classification:
 QA255
Additional related names
Detailed notes
    - Includes bibliographical references and index.
    - 1. Complex numbers I -- 2. Complex numbers II -- 3. Complex numbers III -- 4. Set theory in the complex plane -- 5. Complex functions -- 6. Analytic functions I -- 7. Analytic functions II -- 8. Elementary functions I -- 9. Elementary functions II -- 10. Mappings by functions I -- 11. Mappings by functions II -- 12. Curves, Contours, and simply connected domains -- 13. Complex integration -- 14. Independence of path -- 15. Cauchy-Goursat theorem -- 16. Deformation theorem -- 17. Cauchy's integral formula -- 18. Cauchy's integral formula for derivatives -- 19. The fundamental theorem of algebra -- 20. Maximum modulus principle -- 21. Sequences and series of numbers -- 22. Sequences and series of functions -- 23. Power series -- 24. Taylor's series -- 25. Laurent's series -- 26. Zeros of analytic functions -- 27. Analytic continuation -- 28. Symmetry and reflection -- 29. Singularities and poles I -- 30. Singularities and poles II -- 31. Cauchy's residue theorem -- 32. Evaluation of real integrals by contour integration I -- 33. Evaluation of real integrals by contour integration II -- 34. Indented contour integrals -- 35. Contour integrals involving multi-valued functions -- 36. Summation of series -- 37. Argument principle and Rouch ǎnd Hurwitz theorems -- 38. Behavior of analytic mappings -- 39. Conformal mappings -- 40. Harmonic functions -- 41. The Schwarz-Christoffel transformation -- 42. Infinite products -- 43. Weierstrass's factorization theorem -- 44. Mittag-Leffler theorem -- 45. Periodic functions -- 46. The Riemann Zeta function -- 47. Bieberbach's conjecture -- 48. The Riemann surfaces -- 49. Julia and Mandelbrot sets -- 50. History of complex numbers.
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