# Problems and solutions for Complex analysis

Material type: TextPublication details: New York : Springer, ©1999Description: xi, 246 pages : illustrationsISBN: 9780387988313; 0387988319 Subject(s): Mathematical analysis -- Problems, exercises, etcDDC classification: 515.9Item type | Current library | Collection | Call number | Status | Date due | Barcode | Item holds |
---|---|---|---|---|---|---|---|

Reference Books | Park Road Library Reference | REF | 515.9 SHA (Browse shelf(Opens below)) | Available | 009880 |

I. Complex Numbers and Functions --

II. Power Series --

III. Cauchy's Theorem, First Part --

IV. Winding Numbers and Cauchy's Theorem --

V. Applications of Cauchy's Integral Formula --

VI. Calculus of Residues --

VII. Conformal Mappings --

VIII. Harmonic Functions --

IX. Schwarz Reflection --

X. The Riemann Mapping Theorem --

XI. Analytic Continuation along Curves --

XII. Applications of the Maximum Modulus Principle and Jensen's Formula --

XIII. Entire and Meromorphic Functions --

XIV. The Gamma and Zeta Functions --

XV. The Prime Number Theorem.

The material in the remaining 8 chapters is more advanced, with problems on Schwartz reflection, analytic continuation, Jensen's formula, the Phragmen-Lindeloef theorem, entire functions, Weierstrass products and meromorphic functions, the Gamma function and Zeta function.

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