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PARTIAL DIFFENTIAL EQUATIONS AND SOLUTION MANNUAL

Know the popularity of Bacon.

He used to say "Reading is the gateway of knowedge"
So read the books, learn a lot and then do implementations.

DESCRIPTON;
The importance of partial differential equations among the topics of applied

mathematics has been recognized for many years. However, the increasing
complexity of today's technology is demanding of the mathematician, the engineer,
and the scientist an understanding of the subject previously attained only by
specialists. This book is intended to serve as a supplemental or primary text for a
course aimed at providing this understanding. It has been organized so as to provide a helpful reference for the practicing professional, as well.

APPLICATIONS AND IMPORTANCE;
After the introductory Chapter 1, the book is divided into three parts. Part I,
consisting of Chapters 2 through 5, is devoted primarily to qualitative aspects of the
subject. Chapter 2 discusses the classification of problems, while Chapters 3 and 4
characterize the behavior of solutions to elliptic boundary value problems and
evolution equations, respectively. Chapter 5 focuses on hyperbolic systems of
equations of order one .
Part II comprises Chapters 6 through 8, which present the principal tech-
niques for constructing exact solutions to linear problems in partial differential
equations. Chapter 6 contains the essential ideas of eigenfunction expansions and
integral transforms, which are then applied to partial differential equations in
Chapter 7. Chapter 8 provides a practical treatment of the important topic of
Green's functions and fundamental solutions.
Part III, Chapters 9 through 14, deals with the construction of approximate
solutions. Chapters 9, 10, and 11 focus on finite-difference methods and, for
hyperbolic problems, the numerical method of characteristics. Some of these
methods are implemented in FORTRAN 77 programs. Chapters 12, 13, and 14 are
devoted to approximation methods based on variational principles, Chapter 14
constituting a very elementary introduction to the finite element method.
In every chapter, the solved and supplementary problems have the vital
function of applying, reinforcing, and sometimes expanding the theoretical concepts.
Conclusion;
We would like to express our gratitude to the McGraw-Hill staff and the
Colorado State University Department of Mathematics for their cooperation and
support during the preparation of this book. In particular, we thank David
Beckwith of McGraw-Hili for his many helpful suggestions.
PROS;
All chapters are available that really good.
Clearly readable.
Short in size.
Cons;
There is only the solution of examples not of questions.

Click here to download

Regards,

Zeeshan Haider




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