Differential Equations: Linear, Nonlinear, Ordinary, Partial
Differential Equations: Linear, Nonlinear, Ordinary, Partial
By A. C. King, J. Billingham, S. R. Otto
Publisher: Cambridge University Press
Number Of Pages: 554
Publication Date: 2003-06-30
ISBN-10 / ASIN: 0521816580
ISBN-13 / EAN: 9780521816588
Binding: Hardcover
Differential equations are vital to science, engineering and mathematics, and this book enables the reader to develop the required skills needed to understand them thoroughly. The authors focus on constructing solutions analytically and interpreting their meaning and use MATLAB extensively to illustrate the material along with many examples based on interesting and unusual real world problems. A large selection of exercises is also provided.
Summary: More suited to a second course in differential equations
Rating: 4
This book is not the usual introductory course in differential equations. Right away in the first paragraph, you see the general, linear second order ordinary differential equation of the form
P(x) * (d(2)y / dx(2)) Q(x) * (dy/dx) R(x) * y = F(x)
No basic review, the next steps are the standard operations performed on these equations to change them into more convenient forms. As you can see from the chapter titles:
*) Variable coefficient, second order, linear, ordinary differential equations
*) Legendre functions
*) Bessel functions
*) Boundary value problems, Green’s functions and Sturm Liouville Theory
*) Fourier series and the Fourier transform
*) Laplace transforms
*) Classification, properties and complex variable methods for second order partial differential equations
*) Existence, uniqueness, continuity, and comparison of solutions of ordinary differential equations
*) Nonlinear ordinary differential equations: Phase plane methods
*) Group theoretical methods
*) Asymptotic methods: Basic ideas
*) Asymptotic methods: Differential equations
*) Stability, instability and bifurcations
*) Time-optimal control in the phase plane
*) An introduction to chaotic systems
The level of difficulty is more consistent with a second or third course in differential equations rather than a first course.
With that preamble, I can recommend this book; the examples are well stated and worked to completion. The coverage is extensive; an instructor could select what they consider the high points for their course or use it for a two semester course in differential equations.
links
http://ifile.it/hxy7vgq/0521816580.zip
or
http://rapidshare.com/files/146667644/0521816580.zip
or
http://www.filefactory.com/file/71718b/n/0521816580_zip
Differential Equations: Linear, Nonlinear, Ordinary, Partial
By A. C. King, J. Billingham, S. R. Otto
Publisher: Cambridge University Press
Number Of Pages: 554
Publication Date: 2003-06-30
ISBN-10 / ASIN: 0521816580
ISBN-13 / EAN: 9780521816588
Binding: Hardcover
Differential equations are vital to science, engineering and mathematics, and this book enables the reader to develop the required skills needed to understand them thoroughly. The authors focus on constructing solutions analytically and interpreting their meaning and use MATLAB extensively to illustrate the material along with many examples based on interesting and unusual real world problems. A large selection of exercises is also provided.
Summary: More suited to a second course in differential equations
Rating: 4
This book is not the usual introductory course in differential equations. Right away in the first paragraph, you see the general, linear second order ordinary differential equation of the form
P(x) * (d(2)y / dx(2)) Q(x) * (dy/dx) R(x) * y = F(x)
No basic review, the next steps are the standard operations performed on these equations to change them into more convenient forms. As you can see from the chapter titles:
*) Variable coefficient, second order, linear, ordinary differential equations
*) Legendre functions
*) Bessel functions
*) Boundary value problems, Green’s functions and Sturm Liouville Theory
*) Fourier series and the Fourier transform
*) Laplace transforms
*) Classification, properties and complex variable methods for second order partial differential equations
*) Existence, uniqueness, continuity, and comparison of solutions of ordinary differential equations
*) Nonlinear ordinary differential equations: Phase plane methods
*) Group theoretical methods
*) Asymptotic methods: Basic ideas
*) Asymptotic methods: Differential equations
*) Stability, instability and bifurcations
*) Time-optimal control in the phase plane
*) An introduction to chaotic systems
The level of difficulty is more consistent with a second or third course in differential equations rather than a first course.
With that preamble, I can recommend this book; the examples are well stated and worked to completion. The coverage is extensive; an instructor could select what they consider the high points for their course or use it for a two semester course in differential equations.
links
http://ifile.it/hxy7vgq/0521816580.zip
or
http://rapidshare.com/files/146667644/0521816580.zip
or
http://www.filefactory.com/file/71718b/n/0521816580_zip
