1. Edition - March 2000
259.- Euro
2000. XIV, 730 Pages, Hardcover
ISBN-10: 0-471-86691-1
ISBN-13: 978-0-471-86691-6 - John Wiley & Sons








Short description
This book has grown out of the mathematical part of the Flexible Learning Approach to Physics (FLAP) material originally developed to meet the changing backgrounds and requirements of students entering university today. FLAP material covers all the physics and mathematics required by most students in their first two years at university, making it particularly suitable for an introduction or refresher text. The structure has been carefully researched and developed, and provides the reader with self-paced modules. Further Mathematics for the Physical Sciences covers the more advanced mathematical techniques and methods, typically needed by second and third year undergraduates. Concepts are gradually introduced and students are helped by plentiful worked examples, and then encouraged to attempt problems. "Fast track" questions allow readers to test their ability at the start of each module, enabling readers to skip sections in which they feel confident.

From the 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.