Book 2014

Mathematics for Physicists and Engineers

Fundamentals and Interactive Study Guide

ISBN: 978-3-642-54123-0 (Print) 978-3-642-54124-7 (Online)

Table of contents (22 chapters)

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  1. Front Matter

    Pages i-xvii

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    Chapter

    Pages 1-21

    Vector Algebra I: Scalars and Vectors

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    Chapter

    Pages 23-37

    Vector Algebra II: Scalar and Vector Products

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    Chapter

    Pages 39-70

    Functions

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    Chapter

    Pages 71-86

    Exponential, Logarithmic and Hyperbolic Functions

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    Chapter

    Pages 87-146

    Differential Calculus

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    Chapter

    Pages 147-192

    Integral Calculus

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    Chapter

    Pages 193-228

    Applications of Integration

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    Chapter

    Pages 229-248

    Taylor Series and Power Series

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    Chapter

    Pages 249-273

    Complex Numbers

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    Chapter

    Pages 275-322

    Differential Equations

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    Chapter

    Pages 323-337

    Laplace Transforms

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    Chapter

    Pages 339-377

    Functions of Several Variables; Partial Differentiation; and Total Differentiation

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    Chapter

    Pages 379-402

    Multiple Integrals; Coordinate Systems

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    Chapter

    Pages 403-429

    Transformation of Coordinates; Matrices

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    Chapter

    Pages 431-452

    Sets of Linear Equations; Determinants

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    Chapter

    Pages 453-461

    Eigenvalues and Eigenvectors of Real Matrices

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    Chapter

    Pages 463-492

    Vector Analysis: Surface Integrals, Divergence, Curl and Potential

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    Chapter

    Pages 493-508

    Fourier Series; Harmonic Analysis

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    Chapter

    Pages 509-518

    Fourier Integrals and Fourier Transforms

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    Chapter

    Pages 519-530

    Probability Calculus

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