Mathematical Methods for the Physical Sciences

An Informal Treatment for Students of Physics and Engineering
Erscheinungsjahr 2004
ISBN: 978-0-521-09839-7
Verlag: Cambridge University Press

Buch, Englisch, 552 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 886 g

Many students of physical and applied science and of engineering find difficulty in copying with the mathematics necessary for the quantitative manipulation of the physical concepts they are atudying in their main course. This book is designed to help first and second year under-graduates at universities and polytechnics, as well as technical college students, to find their feet in the important mathematical methods they will need. Throughout the text the physical relevance of the mathematics is constantly stressed and, where it is helpful, use has been made of pictorial mathematics and qualitative verbal descriptions instead of over-compact mathematical symbolism. Topics are presented in three stages: a qualitative introduction, a more formal presentation and an explicit check or worked example. There are many exercises included in the text which are aimed at testing a student's understanding and building his confidence progressively throughout each piece of work.

Autoren/Hrsg.

Riley, K. F.

Fachgebiete

• Technische Wissenschaften Technik Allgemein Physik, Chemie für Ingenieure
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik

Inhaltsverzeichnis

Preface
1. Preliminary calculus
2. Vector algebra
3. Calculus of vectors
4. Vector operators
5. Ordinary differential equations
6. Series solutions of differential equations
7. Superposition methods
8. Fourier methods
9. Partial differential equations
10. Separation of variables
11. Numerical methods
12. Calculus of variations
13. General eigenvalue problem
14. Matrices
15. Cartesian tensors
16. Complex variables
Solutions and hints for exercises and examples
Index.