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Foundations of Applied Mathematics

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Part I Real Variable Theory
Chapter 1 The Important Limit Processes
Chapter 2 Infinite Series
Chapter 3 Singular Integrals
Chapter 4 Interchange of Limit Processes and the Delta Function
Chapter 5 Fourier Series and the Fourier Integral
Chapter 6 Fourier and Laplace Transforms
Chapter 7 Functions of Several Variables
Chapter 8 Vectors, Surfaces, and Volumes
Chapter 9 Vector Field Theory
Chapter 10 The Calculus of Variants

Part II Complex Variables
Chapter 11 Complex Numbers
Chapter 12 Functions of a Complex Variables
Chapter 13 Integration, Cauchy's Theorem, and the Cauchy Integral Formula
Chapter 14 Taylor and Laurent Series
Chapter 15 The Residue Theorem and Contour Integration
Chapter 16 Conformal Mapping

Part III Linear Analysis
Chapter 17 Linear Spaces
Chapter 18 Linear Operators
Chapter 19 The Linear Equation Lx = c
Chapter 20 The Eigenvalue Problem Lx = λx

Part IV Ordinary Differential Equations
Chapter 21 First-Order Equations
Chapter 22 Higher-Order Systems
Chapter 23 Qualitative Methods; The Phase Plane
Chapter 24 Quantitative Methods
Chapter 235 Pertubation Techniques

Part V Partial Differential Equations
Chapter 26 Separation of Variables and Transform Methods
Chapter 27 Classification and the Method of Characteristics
Chapter 28 Green's Functions and Pertubation Techniques
Chapter 29 Finite-Difference Methods

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Availability

5555129650

510 GRE f

Pusat (Sirkulasi)

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Detail Information

Series Title

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Call Number

510 GRE f

Publisher

New York : Dover Publications., 2013

Collation

xvii, 636p., Biblio., Illust., Index. 15.5 x 23.5

Language

English

ISBN/ISSN

978-0-486-49279-7

Classification

510

Content Type

text

Media Type

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Carrier Type

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Edition

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Subject(s)

MATHEMATICS

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