Further Mathematics for the Physical Sciences
* Is a carefully structured text, with self-contained chapters.
* Gradually introduces mathematical techniques within an applied environment.
* Includes many worked examples, applications, problems and summaries in each chapter.
Further Mathematics for the Physical Sciences will be invaluable to all students of physics, chemistry and engineering, needing to develop or refresh their knowledge of basic mathematics. The book's structure will make it equally valuable for course use, home study or distance learning.
Introducing Complex Numbers.
Polar Representation of Complex Numbers.
Demoivre's Theorem and Complex Algebra.
Scalar Products of Vectors.
Vector Products of Vectors.
DETERMINANTS AND 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.
Formulating and Classifying Differential Equations.
Solving First-Order Differential Equations.
Solving Second-Order Differential Equations.
Waves and Partial Differential Equations.
Answers and Comments.
- Teaches the mathematics within a physics environment.
- Each chapter is self-contained to allow for flexibility in the order subjects can be covered.
- Chapters include opening questions, worked examples, student exercises and summaries.
- Thoroughly reviewed and edited over a number of years resulting in a well developed and accurate text.
- Equally valuable on traditional courses, as well as distance learning courses.
- Supplements include a solutions manual, and web site.