Directed primarily at college and university undergraduates, this book covers at basic level the essential applications of mathematics to the physical sciences.
Directed primarily at college and university undergraduates, this book covers at basic level the essential applications of mathematics to the physical sciences.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
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.
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.
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