Essential Mathematical Methods for the Physical Sciences
eBook - PDF

Essential Mathematical Methods for the Physical Sciences

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Essential Mathematical Methods for the Physical Sciences

About this book

The mathematical methods that physical scientists need for solving substantial problems in their fields of study are set out clearly and simply in this tutorial-style textbook. Students will develop problem-solving skills through hundreds of worked examples, self-test questions and homework problems. Each chapter concludes with a summary of the main procedures and results and all assumed prior knowledge is summarized in one of the appendices. Over 300 worked examples show how to use the techniques and around 100 self-test questions in the footnotes act as checkpoints to build student confidence. Nearly 400 end-of-chapter problems combine ideas from the chapter to reinforce the concepts. Hints and outline answers to the odd-numbered problems are given at the end of each chapter, with fully-worked solutions to these problems given in the accompanying Student Solutions Manual. Fully-worked solutions to all problems, password-protected for instructors, are available at www.cambridge.org/essential.

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Yes, you can access Essential Mathematical Methods for the Physical Sciences by K. F. Riley,M. P. Hobson in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Mathematical & Computational Physics. We have over one million books available in our catalogue for you to explore.
86
Matrices
and
vector
spaces
1
2
3
m
m
M
2
km
kM
kM
(a)
ω
2
=
c
+
d
m
(b)
ω
2
=
c
(c)
ω
2
=
c
+
2
d
M
+
d
m
Figure
1.7
The
normal
modes,
as
viewed
from
above,
of
the
coupled
pendulums
in
Problem
1.39
.
(a)
I
1
=
0,
I
2
=
−
I
3
;
no
current
in
P
Q
;
equivalent
to
two
separate
circuits
of
capacitance
C
and
inductance
L
.
(b)
I
1
=
−
2
I
2
=
−
2
I
3
;
no
current
in
T
U
;
capacitance
3
C/
2
and
inductance
2
L
.
1.45.
ω
=
(2
.
634
g/l
)
1
/
2
or
(0
.
3661
g/l
)
1
/
2
;
θ
1
=
ξ
+
η
,
θ
2
=
1
.
431
ξ
−
2
.
097
η
.
1.47.
Estimated,
10
/
17
<
Maω
2
/T
<
58
/
17;
exact,
2
−
√
2
≤
Maω
2
/T
≤
2
+
√
2.

Table of contents

  1. Cover
  2. Half-title
  3. Title
  4. Copyright
  5. Contents
  6. Preface
  7. Review of background topics
  8. 1 Matrices and vector spaces
  9. 2 Vector calculus
  10. 3 Line, surface and volume integrals
  11. 4 Fourier series
  12. 5 Integral transforms
  13. 6 Higher-order ordinary differential equations
  14. 7 Series solutions of ordinary differential equations
  15. 8 Eigenfunction methods for differential equations
  16. 9 Special functions
  17. 10 Partial differential equations
  18. 11 Solution methods for PDEs
  19. 12 Calculus of variations
  20. 13 Integral equations
  21. 14 Complex variables
  22. 15 Applications of complex variables
  23. 16 Probability
  24. 17 Statistics
  25. Appendix A: Review of background topics
  26. Appendix B: Inner products
  27. Appendix C: Inequalities in linear vector spaces
  28. Appendix D: Summation convention
  29. Appendix E: The Kronecker delta and Levi--Civita symbols
  30. Appendix F: Gram-Schmidt orthogonalization
  31. Appendix G: Linear least squares
  32. Appendix H: Footnote answers
  33. Index