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by K.F. Riley, M.P. Hobson and S.J. Bence

Cover type: PaperbackEdition: 3RD 06

Copyright: 2006

Publisher: Cambridge University Press

Published: 2006

International: No

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The third edition of this highly acclaimed undergraduate textbook is suitable for teaching all the mathematics for an undergraduate course in any of the physical sciences. As well as lucid descriptions of all the topics and many worked examples, it contains over 800 exercises. New stand-alone chapters give a systematic account of the 'special functions' of physical science, cover an extended range of practical applications of complex variables, and give an introduction to quantum operators. Further tabulations, of relevance in statistics and numerical integration, have been added.

- Contains all the mathematical material likely to be needed for any undergraduate course in the physical sciences
- Maintains the method and clarity of presentation that has been much praised in earlier editions
- Over 800 exercises: half with complete solutions available; half suitable for unaided homework - the only book at this level to have fully-worked solutions to ALL of its problems

Prefaces

1. Preliminary algebra

2. Preliminary calculus

3. Complex numbers and hyperbolic functions

4. Series and limits

5. Partial differentiation

6. Multiple integrals

7. Vector algebra

8. Matrices and vector spaces

9. Normal modes

10. Vector calculus

11. Line, surface and volume integrals

12. Fourier series

13. Integral transforms

14. First-order ordinary differential equations

15. Higher-order ordinary differential equations

16. Series solutions of ordinary differential equations

17. Eigenfunction methods for differential equations

18. Special functions

19. Quantum operators

20. Partial differential equations: general and particular

21. Partial differential equations: separation of variables

22. Calculus of variations

23. Integral equations

24. Complex variables

25. Application of complex variables

26. Tensors

27. Numerical methods

28. Group theory

29. Representation theory

30. Probability

31. Statistics

Index.

Summary

The third edition of this highly acclaimed undergraduate textbook is suitable for teaching all the mathematics for an undergraduate course in any of the physical sciences. As well as lucid descriptions of all the topics and many worked examples, it contains over 800 exercises. New stand-alone chapters give a systematic account of the 'special functions' of physical science, cover an extended range of practical applications of complex variables, and give an introduction to quantum operators. Further tabulations, of relevance in statistics and numerical integration, have been added.

- Contains all the mathematical material likely to be needed for any undergraduate course in the physical sciences
- Maintains the method and clarity of presentation that has been much praised in earlier editions
- Over 800 exercises: half with complete solutions available; half suitable for unaided homework - the only book at this level to have fully-worked solutions to ALL of its problems

Table of Contents

Prefaces

1. Preliminary algebra

2. Preliminary calculus

3. Complex numbers and hyperbolic functions

4. Series and limits

5. Partial differentiation

6. Multiple integrals

7. Vector algebra

8. Matrices and vector spaces

9. Normal modes

10. Vector calculus

11. Line, surface and volume integrals

12. Fourier series

13. Integral transforms

14. First-order ordinary differential equations

15. Higher-order ordinary differential equations

16. Series solutions of ordinary differential equations

17. Eigenfunction methods for differential equations

18. Special functions

19. Quantum operators

20. Partial differential equations: general and particular

21. Partial differential equations: separation of variables

22. Calculus of variations

23. Integral equations

24. Complex variables

25. Application of complex variables

26. Tensors

27. Numerical methods

28. Group theory

29. Representation theory

30. Probability

31. Statistics

Index.

Publisher Info

Publisher: Cambridge University Press

Published: 2006

International: No

Published: 2006

International: No

The third edition of this highly acclaimed undergraduate textbook is suitable for teaching all the mathematics for an undergraduate course in any of the physical sciences. As well as lucid descriptions of all the topics and many worked examples, it contains over 800 exercises. New stand-alone chapters give a systematic account of the 'special functions' of physical science, cover an extended range of practical applications of complex variables, and give an introduction to quantum operators. Further tabulations, of relevance in statistics and numerical integration, have been added.

- Contains all the mathematical material likely to be needed for any undergraduate course in the physical sciences
- Maintains the method and clarity of presentation that has been much praised in earlier editions
- Over 800 exercises: half with complete solutions available; half suitable for unaided homework - the only book at this level to have fully-worked solutions to ALL of its problems

1. Preliminary algebra

2. Preliminary calculus

3. Complex numbers and hyperbolic functions

4. Series and limits

5. Partial differentiation

6. Multiple integrals

7. Vector algebra

8. Matrices and vector spaces

9. Normal modes

10. Vector calculus

11. Line, surface and volume integrals

12. Fourier series

13. Integral transforms

14. First-order ordinary differential equations

15. Higher-order ordinary differential equations

16. Series solutions of ordinary differential equations

17. Eigenfunction methods for differential equations

18. Special functions

19. Quantum operators

20. Partial differential equations: general and particular

21. Partial differential equations: separation of variables

22. Calculus of variations

23. Integral equations

24. Complex variables

25. Application of complex variables

26. Tensors

27. Numerical methods

28. Group theory

29. Representation theory

30. Probability

31. Statistics

Index.