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|a 515.9
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|a UAMI
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| 100 |
1 |
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|a Krantz, Steven G.
|q (Steven George),
|d 1951-
|1 https://id.oclc.org/worldcat/entity/E39PBJw8VQ7cxG48KCfPym3RKd
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| 245 |
1 |
2 |
|a A Guide to Complex Variables /
|c Steven G. Krantz.
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| 260 |
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|a Cambridge :
|b Cambridge University Press,
|c 2012.
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| 300 |
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|a 1 online resource
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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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| 490 |
1 |
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|a Dolciani Mathematical Expositions ;
|v v. 32
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| 500 |
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|a Title from publishers bibliographic system (viewed on 30 Jan 2012).
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| 505 |
0 |
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|a A Guide to Complex Variables -- Preface -- Contents -- 1 The Complex Plane -- 1.1 Complex Arithmetic -- 1.1.1 The Real Numbers -- 1.1.2 The Complex Numbers -- 1.1.3 Complex Conjugate -- 1.1.4 Modulus of a Complex Number -- 1.1.5 The Topology of the Complex Plane -- 1.1.6 The Complex Numbers as a Field -- 1.1.7 The Fundamental Theorem of Algebra -- 1.2 The Exponential and Applications -- 1.2.1 The Exponential Function -- 1.2.2 The Exponential Using Power Series -- 1.2.3 Laws of Exponentiation -- 1.2.4 Polar Form of a Complex Number
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| 505 |
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|a 1.2.5 Roots of Complex Numbers1.2.6 The Argument of a Complex Number -- 1.2.7 Fundamental Inequalities -- 1.3 Holomorphic Functions -- 1.3.1 Continuously Differentiable and Ck Functions -- 1.3.2 The Cauchy-Riemann Equations -- 1.3.3 Derivatives -- 1.3.4 Definition of Holomorphic Function -- 1.3.5 The Complex Derivative -- 1.3.6 Alternative Terminology for Holomorphic Functions -- 1.4 Holomorphic and Harmonic Functions -- 1.4.1 Harmonic Functions -- 1.4.2 How They are Related -- 2 Complex Line Integrals -- 2.1 Real and Complex Line Integrals -- 2.1.1 Curves
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| 505 |
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|a 2.1.2 Closed Curves2.1.3 Differentiable and C^k Curves -- 2.1.4 Integrals on Curves -- 2.1.5 The Fundamental Theorem of Calculus along Curves -- 2.1.6 The Complex Line Integral -- 2.1.7 Properties of Integrals -- 2.2 Complex Differentiabilityand Conformality -- 2.2.1 Limits -- 2.2.2 Holomorphicity and the Complex Derivative -- 2.2.3 Conformality -- 2.3 The Cauchy Integral Formula and Theorem -- 2.3.1 The Cauchy Integral Theorem, Basic Form -- 2.3.2 The Cauchy Integral Formula -- 2.3.3 More General Forms of the Cauchy Theorems -- 2.3.4 Deformability of Curves
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|a 2.4 A Coda on the Limitations of The Cauchy Integral Formula3 Applications of the Cauchy Theory -- 3.1 The Derivatives of a Holomorphic Function -- 3.1.1 A Formula for the Derivative -- 3.1.2 The Cauchy Estimates -- 3.1.3 Entire Functions and Liouville�s Theorem -- 3.1.4 The Fundamental Theorem of Algebra -- 3.1.5 Sequences of Holomorphic Functions and their Derivatives -- 3.1.6 The Power Series Representation of a Holomorphic Function -- 3.2 The Zeros of a Holomorphic Function -- 3.2.1 The Zero Set of a Holomorphic Function
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| 505 |
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|a 3.2.2 Discreteness of the Zeros of a Holomorphic Function3.2.3 Discrete Sets and Zero Sets -- 3.2.4 Uniqueness of Analytic Continuation -- 4 Isolated Singularities and Laurent Series -- 4.1 The Behavior of a Holomorphic Function near an Isolated Singularity -- 4.1.1 Isolated Singularities -- 4.1.2 A Holomorphic Function on a Punctured Domain -- 4.1.3 Classification of Singularities -- 4.1.4 Removable Singularities, Poles, and Essential Singularities -- 4.1.5 The Riemann Removable Singularities Theorem -- 4.1.6 The Casorati-Weierstrass Theorem
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| 590 |
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|a eBooks on EBSCOhost
|b EBSCO eBook Subscription Academic Collection - Worldwide
|
| 590 |
|
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
|
| 650 |
|
0 |
|a Functions of complex variables.
|
| 650 |
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6 |
|a Fonctions d'une variable complexe.
|
| 650 |
|
7 |
|a MATHEMATICS
|x Complex Analysis.
|2 bisacsh
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| 650 |
|
7 |
|a Functions of complex variables
|2 fast
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| 758 |
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|i has work:
|a A guide to complex variables (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCGgV3XbqpBmW9HXqjyMdHy
|4 https://id.oclc.org/worldcat/ontology/hasWork
|
| 776 |
0 |
8 |
|i Print version:
|a Krantz, Steven G.
|t Guide to Complex Variables.
|d Washington : Mathematical Association of America, ©2014
|z 9780883853382
|
| 830 |
|
0 |
|a Dolciani mathematical expositions.
|
| 856 |
4 |
0 |
|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3330365
|z Texto completo
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| 938 |
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|a EBL - Ebook Library
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|n EBL3330365
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|a EBSCOhost
|b EBSC
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| 994 |
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|a 92
|b IZTAP
|
