Introduction to Physical Mathematics - Brossura

Harper, P.G.

 
9780521269087: Introduction to Physical Mathematics

Sinossi

Directed primarily at college and university undergraduates, this book covers at basic level the essential applications of mathematics to the physical sciences.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Descrizione del libro

Directed primarily at college and university undergraduates, this book covers at basic level the essential applications of mathematics to the physical sciences. It contains all the usual topics covered in a first-year course such as vectors, matrices, differential equations, basic mathematical functions and their analysis, and power series.

Contenuti

1. Introduction; 2. Errors; 3. Cartesian coordinates; 4. Vectors; 5. The scalar product; 6. The vector product and rotation; 7. Matrices in physics; 8. The transformation of matrices; 9. The matrix eigenvalue equation; 10. Exponential and logarithm functions; 11. Sine and cosine functions; 12. Graph plotting and curve sketching; 13. Differentiation; 14. Approximations; 15. Power series and Taylor's expansion; 16. Partial differentiation; 17. Integration; 18. The differential equation; 19. Solving first-order differential equations; 20. Second-order differential equations; 21. Solving second-order differential equations; 22. The complex exponential; 23. The circuit equation; 24. Harmonics and Fourier series; 25. The diffusion equation; 26. Waves; 27. The rate of change of a vector; 28. The scalar field and gradient operator; 29. The vector field; 30. Line integration; 31. The potential field; 32. Surface and volume integration; 33. Flux and divergence; 34. Circulation and the curl; 35. Conclusion; 36. Miscellaneous exercises.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Altre edizioni note dello stesso titolo

9780521262781: Introduction to Physical Mathematics

Edizione in evidenza

ISBN 10:  052126278X ISBN 13:  9780521262781
Casa editrice: Cambridge University Press, 1985
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