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