Further Mathematics for the Physical Sciences

Michael Tinker (Edited by), M Tinker (Author), Robert Lambourne (Edited by)

9780471867234, Wiley

Paperback / softback, published 30 March 2000

752 pages
23.3 x 19.1 x 4 cm, 1.361 kg

"I recommend this excellent book...." (Contemporary Physics, Vol. 42/1, 2001)

Dies ist der Fortsetzungsband zu "Basic Mathematics for the Physical Sciences" vom gleichen Autorenteam. Der Lernstoff ist in einzelne Module gegliedert, die auch im Selbst- oder Fernstudium erarbeitet werden können. Die Kapitel sind in sich geschlossen - so kann der Student selbst entscheiden, in welcher Reihenfolge und wie schnell oder gründlich er die einzelnen Themen behandeln möchte. (02/00)

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.

Subject Areas: Physics [PH]