Description

Book Synopsis
This book is aimed at all students in the physical sciences taking a second course in mathematics. It consists of self-paced modules that can be studied as part of a traditional course or as an open or distance learning course.

Table of Contents
COMPLEX NUMBERS.

Introducing Complex Numbers.

Polar Representation of Complex Numbers.

Demoivre's Theorem and Complex Algebra.

VECTOR ALGEBRA.

Scalar Products of Vectors.

Vector Products of Vectors.

DETERMINANTS AND MATRICES.

Determinants.

Matrices.

DIFFERENTIATION, EXPANSION AND APPROXIMATION.

Expansions and Approximations.

Taylor Expansions and Polynomial Approximations.

Hyperbolic Functions and Differentiation.

INTEGRATION, SUMMATION AND AVERAGING.

Areas, Volumes and Averages.

Special Integration Techniques.

DIFFERENTIAL EQUATIONS.

Formulating and Classifying Differential Equations.

Solving First-Order Differential Equations.

Solving Second-Order Differential Equations.

Waves and Partial Differential Equations.

VECTOR CALCULUS.

Differentiating Vectors.

Integrating Vectors.

Appendix.

Answers and Comments.

Index.

Further Mathematics for the Physical Sciences

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    A Hardback by Michael Tinker, Robert Lambourne

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      Book details

      Publisher John Wiley & Sons Inc
      Published 30 March 2000
      ISBN-13 9780471866916
      978-0471866916
      ISBN-10 0471866911
      Also in:
      Physics

      Description

      Book Synopsis
      This book is aimed at all students in the physical sciences taking a second course in mathematics. It consists of self-paced modules that can be studied as part of a traditional course or as an open or distance learning course.

      Table of Contents
      COMPLEX NUMBERS.

      Introducing Complex Numbers.

      Polar Representation of Complex Numbers.

      Demoivre's Theorem and Complex Algebra.

      VECTOR ALGEBRA.

      Scalar Products of Vectors.

      Vector Products of Vectors.

      DETERMINANTS AND MATRICES.

      Determinants.

      Matrices.

      DIFFERENTIATION, EXPANSION AND APPROXIMATION.

      Expansions and Approximations.

      Taylor Expansions and Polynomial Approximations.

      Hyperbolic Functions and Differentiation.

      INTEGRATION, SUMMATION AND AVERAGING.

      Areas, Volumes and Averages.

      Special Integration Techniques.

      DIFFERENTIAL EQUATIONS.

      Formulating and Classifying Differential Equations.

      Solving First-Order Differential Equations.

      Solving Second-Order Differential Equations.

      Waves and Partial Differential Equations.

      VECTOR CALCULUS.

      Differentiating Vectors.

      Integrating Vectors.

      Appendix.

      Answers and Comments.

      Index.

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