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|a GWRE
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|a QA331.7
|b .A836 1971
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| 100 |
1 |
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|a Ash, Robert B.
|0 http://id.loc.gov/authorities/names/n50001996
|1 http://isni.org/isni/0000000458792047.
|
| 245 |
1 |
0 |
|a Complex variables
|h [electronic resource] /
|c [by] Robert B. Ash.
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| 260 |
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|a New York :
|b Academic Press,
|c [1971]
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| 300 |
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|a 1 online resource (viii, 255 pages)
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| 336 |
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|a text
|b txt
|2 rdacontent.
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| 337 |
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|a computer
|b c
|2 rdamedia.
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| 338 |
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|a online resource
|b cr
|2 rdacarrier.
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| 504 |
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|a Includes bibliographical references (page 13)
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|a Front Cover; Complex Variables; Copyright Page; Table of Contents; Preface; Chapter0. PREREQUISITES; 0.1 Basic Definitions; 0.2 The Extended Plane; 0.3 Analytic Functions; 0.4 Cauchy-RiemannEquations and Applications; 0.5 The Elementary Functions; 0.6 Logarithms and Roots; Remarks on Notation; References; Chapter1. THE ELEMENTARY THEORY ; 1.1 Integration on Paths; 1.2 Power Series; 1.3 Applications; Problems; Chapter2. THE GENERAL CAUCHY THEOREM; 2.1 Logarithms and Arguments; 2.2 The Index of a Point with Respect to a Closed Curve; 2.3 Cauchy's Theorem; Problems.
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| 505 |
8 |
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|a Chapter3. APPLICATIONS OF THE CAUCHY THEORY3.1 Singularities; 3.2 Residue Theory; 3.3 Inverse Functions; 3.4 Analytic Mappings of One Disk into Another; 3.5 Extension of Cauchy's Theorem and Integral Formula; 3.6 The Poisson Integral Formula and Its Applications; 3.7 The Jensen and Poisson-JensenFormulas; 3.8 Analytic Continuation; Problems; Chapter4. ENTIRE FUNCTIONS; 4.1 Infinite Products; 4.2 Canonical Products and the Weierstrass Factorization Theorem; 4.3 Order of an Entire Function; 4.4 The Hadamard Factorization Theorem; Problems; Chapter5. FAMILIES OF ANALYTIC FUNCTIONS.
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|a 5.1 The Spaces A(U) and C(U)5.2 Riemann Mapping Theorem; 5.3 The Homotopic Version of Cauchy'sTheorem; Problems; Chapter6. THE PRIME NUMBER THEOREM; 6.1 The Gamma Function; 6.2 The Riemann Zeta Function; 6.3 Proof of the Prime Number Theorem; Solutions To Problems; Subject Index.
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| 546 |
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|a English.
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| 588 |
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|a Print version record.
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| 650 |
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|a Functions of complex variables.
|0 http://id.loc.gov/authorities/subjects/sh85052356.
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| 650 |
|
7 |
|a Functions of complex variables.
|2 fast
|0 (OCoLC)fst00936116.
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| 776 |
0 |
8 |
|i Print version:
|a Ash, Robert B.
|t Complex variables.
|d New York, Academic Press [1971]
|w (DLC) 70117632
|w (OCoLC)140533.
|
| 856 |
4 |
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|u https://colorado.idm.oclc.org/login?url=https://www.sciencedirect.com/science/book/9780120652501
|z Full Text (via ScienceDirect)
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|a MARS - RDA ENRICHED
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|a University of Colorado Boulder
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|e QA331.7 .A836 1971
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|n 1
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