Basic complex analysis, Jerrold E. Marsden, Michael J. Hoffman

Resource Information

The instance Basic complex analysis, Jerrold E. Marsden, Michael J. Hoffman represents a material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.

Image

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Label

Basic complex analysis, Jerrold E. Marsden, Michael J. Hoffman

Statement of responsibility

Jerrold E. Marsden, Michael J. Hoffman

Instantiates

• Basic complex analysis

Publication

• New York, N.Y., W.H. Freeman, ©1987

Note

Includes index

Carrier category

volume

Carrier category code

• nc

Carrier MARC source

rdacarrier

Content category

text

Content type code

• txt

Content type MARC source

rdacontent

Contents

• Contour Integrals
• Cauchy's Theorem--A First Look
• A Closer Look at Cauchy's Theorem
• Cauchy's Integral Formula
• Maximum Modulus Theorem and Harmonic Functions
• Series Representation of Analytic Functions
• Convergent Series of Analytic Functions
• Power Series and Taylor's Theorem
• Laurent Series and Classification of Singularities
• Calculus of Residues
• Analytic Functions
• Calculation of Residues
• Residue Theorem
• Evaluation of Definite Integrals
• Evaluation of Infinite Series and Partial-Fraction Expansions
• Conformal Mappings
• Basic Theory of Conformal Mappings
• Fractional Linear and Schwarz-Christoffel Transformations
• Applications of Conformal Mappings to Laplace's Equation, Heat Conduction, Electrostatics, and Hydrodynamics
• Further Development of the Theory
• Analytic Continuation and Elementary Riemann Surfaces
• Introduction to Complex Numbers
• Rouche's Theorem and Principle of the Argument
• Mapping Properties of Analytic Functions
• Asymptotic Methods
• Infinite Products and the Gamma Function
• Asymptotic Expansions and the Method of Steepest Descent
• Stirling's Formula and Bessel Functions
• Laplace Transform and Applications
• Basic Properties of Laplace Transforms
• Complex Inversion Formula
• Application of Laplace Transforms to Ordinary Differential Equations
• Properties of Complex Numbers
• Some Elementary Functions
• Continuous Functions
• Basic Properties of Analytic Functions
• Differentiation of the Elementary Functions
• Cauchy's Theorem

Control code

13947392

Dimensions

24 cm

Edition

2nd ed.

Extent

xii, 604 pages

Isbn

9780716718147

Lccn

86018413

Media category

unmediated

Media MARC source

rdamedia

Media type code

• n

Other physical details

illustrations

Record ID

.b20136511

System control number

(WaOLN)1040114