Differential Equations: Linear, Nonlinear, Ordinary, Partial | 
 enlarge | Authors: A. C. King, J. Billingham, S. R. Otto
Publisher: Cambridge University Press
Category: Book
List Price: $65.00
Buy New: $47.00
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Rating:  1 reviews
Sales Rank: 997320
Media: Paperback
Pages: 556
Number Of Items: 1
Shipping Weight (lbs): 2.4
Dimensions (in): 9.6 x 6.6 x 0.9
ISBN: 0521016878
Dewey Decimal Number: 515.35
EAN: 9780521016872
Publication Date: June 30, 2003
Availability: Usually ships in 1-2 business days
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Product Description
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.
Book Description
Differential equations are central to science, engineering and mathematics, and this book aims to enable the reader to develop the required skills needed to understand them thoroughly. The authors focus on the business of constructing solutions analytically, and interpreting their meaning; MATLAB is used extensively to illustrate the material. There are many worked examples based on interesting and unusual real world problems. A large selection of exercises is provided, including several lengthier projects. The broad coverage and clear and concise presentation will appeal to undergraduates.
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| Customer Reviews:
More suited to a second course in differential equations May 14, 2007
Charles Ashbacher (Marion, Iowa United States(cashbacher@yahoo.com))
6 out of 7 found this review helpful
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.
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