
- 1,455 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
Advanced Engineering Mathematics
About this book
Beginning with linear algebra and later expanding into calculus of variations, Advanced Engineering Mathematics provides accessible and comprehensive mathematical preparation for advanced undergraduate and beginning graduate students taking engineering courses. This book offers a review of standard mathematics coursework while effectively integrati
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Yes, you can access Advanced Engineering Mathematics by Lawrence Turyn in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.
Information
Linear
Algebraic
Equations,
Matrices,
and
Eigenvalues
29
x
2
x
1
FIGURE
1.4
Line
through
the
origin,
spanned
by
one
vector.
Shown
in
Figure
1.4
is
a
line
spanned
by
a
single
vector
in
R
2
.
Shown
in
Figure
1.5
is
the
plane
W
=
Span
⎧
⎨
⎩
⎡
⎣
1
1
−
1
⎤
⎦
,
⎡
⎣
−
1
1
1
⎤
⎦
⎫
⎬
âŽ
in
R
3
with
many
linear
combinations,
of
various
lengths,
shown.
10
5
x
=
0
–5
–10
10
5
z
=
0
–5
–10
–10
–5
y
=
0
5
10
FIGURE
1.5
Plane
spanned
by
two
vectors.
Table of contents
- Front Cover
- Contents
- Preface
- Acknowledgments
- Chapter 1 - Linear Algebraic Equations, Matrices, and Eigenvalues
- Chapter 2 - Matrix Theory
- Chapter 3 - Scalar ODEs I: Homogeneous Problems
- Chapter 4 - Scalar ODEs II: Nonhomogeneous Problems
- Chapter 5 - Linear Systems of ODEs
- Chapter 6 - Geometry, Calculus, and Other Tools
- Chapter 7 - Integral Theorems, Multiple Integrals, and Applications
- Chapter 8 - Numerical Methods I
- Chapter 9 - Fourier Series
- Chapter 10 - Partial Differential Equations Models
- Chapter 11 - Separation of Variables for PDEs
- Chapter 12 - Numerical Methods II
- Chapter 13 - Optimization
- Chapter 14 - Calculus of Variations
- Chapter 15 - Functions of a Complex Variable
- Chapter 16 - Conformal Mapping
- Chapter 17 - Integral Transform Methods
- Chapter 18 - Nonlinear Ordinary Differential Equations
- Appendix A - Partial Fractions
- Appendix B - Laplace Transforms Definitions and Derivations
- Appendix C - Series Solutions of ODEs
- Index
- Back Cover