Book Description
If you want top grades and thorough understanding of partial differential equations, this powerful study tool is the best tutor you can have! It takes you step-by-step through the subject and gives you 290 accompanying related problems with fully worked solutions. You also get plenty of practice problems to do on your own, working at your own speed. (Answers at the back show you how you're doing.) Famous for their clarity, wealth of illustrations and examples, and lack of dreary minutiae, SchaumÕs Outlines have sold more than 30 million copies worldwideÑand this guide will show you why!
Customer Reviews:
Partial Differential Equations review.......2007-01-04
I have found it helpful and inciteful with the more difficult differential equations that can be attempted.
Good if you've forgotten.......2006-04-22
This book contains mostly routine exercises of the subject. If you want to dig a bit further and sharpen your skills: try Krasnov's A Book of Problems in Ordinary Differential Equations. Language: English
ISBN: 5030009493
Not up to par with other Schaum's outlines on mathematics.......2006-04-21
This is one of the more poorly written Schaum's outlines I have encountered. The theory is very murky and the author gives no clear direction as to where he is going with this material and what it all means. PDE is a hard enough subject without working a bunch of meaningless problems that leave you wondering what it is you are supposed to have learned. Instead, I suggest you read "Introduction to Partial Differential Equations with Applications" by Zachmanoglou and Thoe in order to understand the mathematical underpinnings of PDE. Then read "Partial Differential Equations for Scientists and Engineers" to get a thorough feel for how PDE is used to solve real-world problems. Both books usually sell used for under $10 each, making them cost-effective alternatives to this Schaum's outline.
Duchateau a poor teacher.......2003-11-01
I have not read this book, but if it is anything like the author's previous attempts at writing it will leave you feeling angry. I read his advanced calculus book and it was awful. I found 16 mistakes on one page! This was the first book on advanced calculus I read and I was unable to follow the logic sequence. It wasn't until later after reading other books and mastering the subject that I discovered why. The examples were full of major errors. Not only that but he wastes a great deal of space repeating assumptions before each new section. As a result the actual material covered is sparse.
It is a very good book.......2003-06-15
This is a very good introduction to partial
differential equations.It contains the most
common methods in PDE namely: characteristics
method, Fourier method, Green method, finite
difference methods, variational methods and
finite element method. I have used it as a
textbook or suplementary text. It is really
an undergraduate text which provides a wide
introduction to PDE. I have a copy and recommend
it to every person interested in learning PDE.
Book Description
Partial differential equations (PDEs) and variational methods were introduced into image processing about fifteen years ago. Since then, intensive research has been carried out. The goals of this book are to present a variety of image analysis applications, the precise mathematics involved and how to discretize them.
Thus, this book is intended for two audiences. The first is the mathematical community by showing the contribution of mathematics to this domain. It is also the occasion to highlight some unsolved theoretical questions. The second is the computer vision community by presenting a clear, self-contained and global overview of the mathematics involved in image processing problems. This work will serve as a useful source of reference and inspiration for fellow researchers in Applied Mathematics and Computer Vision, as well as being a basis for advanced courses within these fields.
During the four years since the publication of the first edition, there has been substantial progress in the range of image processing applications covered by the PDE framework. The main goals of the second edition are to update the first edition by giving a coherent account of some of the recent challenging applications, and to update the existing material. In addition, this book provides the reader with the opportunity to make his own simulations with a minimal effort. To this end, programming tools are made available, which will allow the reader to implement and test easily some classical approaches.
Customer Reviews:
It is my bible!.......2004-07-01
This book not only includes the state-of-art image processig techniques using math methods, but also provides very good numerical schemes for these methods. This book is written by mathematicians, but engineers still can easily implemente many commonly used image processing algorithm, just follow the detailed numerical difference schemes provided in the appendix.
Book Description
No one working in duality should be without a copy of Convex Analysis and Variational Problems. This book contains different developments of infinite dimensional convex programming in the context of convex analysis, including duality, minmax and Lagrangians, and convexification of nonconvex optimization problems in the calculus of variations (infinite dimension). It also includes the theory of convex duality applied to partial differential equations; no other reference presents this in a systematic way. The minmax theorems contained in this book have many useful applications, in particular the robust control of partial differential equations in finite time horizon. First published in English in 1976, this SIAM Classics in Applied Mathematics edition contains the original text along with a new preface and some additional references.
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Variational and Potential Methods for a Class of Linear Hyperbolic Evolutionary Processes (SPRINGER MONOGRAPHS IN MATHEMATICS)
I. Chudinovich
Manufacturer: Springer
ProductGroup: Book
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ASIN: 1852338881 |
Book Description
The book presents variational methods combined with boundary integral equation techniques in application to a model of dynamic bending of plates with transverse shear deformation. The emphasis is on the rigorous mathematical investigation of the model, which covers a complete study of the well-posedness of a number of initial-boundary value problems, their reduction to time-dependent boundary integral equations by means of suitable potential representations, and the solution of the latter in Sobolev spaces. The analysis, performed in spaces of distributions, is applicable to a wide variety of data with less smoothness than that required in the corresponding classical problems, and is very useful for constructing error estimates in numerical computations. This illustrative model was chosen because of its practical importance and some unusual mathematical features, but the solution technique can easily be adapted to many other hyperbolic systems of partial differential equations arising in continuum mechanics.
Book Description
In this lecture note the authors give an introduction to certain global analytic and probabilistic aspects of string theory. It is their intention to bring together, and make explicit, the necessary mathematical tools. Researchers with an interest in string theory, in either mathematics or theoretical physics, will find this a stimulating volume.
Customer Reviews:
unreadable to general public.......2002-02-27
authors never mention about the prerequisites but the book is not accessible to ordinary graduate students of math or physics. reader should be able to use a research library which contains references listed in the book. the title must be mathematical aspects not introduction. i recommend preprints of hep-th rather than this highly specialized monograph.
A truly magnificent work.......2000-09-14
it is admirable how the authors managed to introduce such a quantity of material in 85 pages ... a good introduction to contemporary research in the field.
Especially impressive is the the description and use of the Faddeev-Popov procedure in chapter 6.
Book Description
The contact of one deformable body with another lies at the heart of almost every mechanical structure. Here, in a comprehensive treatment, two of the field's leading researchers present a systematic approach to contact problems. Using variational formulations, Kikuchi and Oden derive a multitude of new results, both for classical problems and for nonlinear problems involving large deflections and buckling of thin plates with unilateral supports, dry friction with nonclassical laws, large elastic and elastoplastic deformations with frictional contact, dynamic contacts with dynamic frictional effects, and rolling contacts. This method exposes properties of solutions obscured by classical methods, and it provides a basis for the development of powerful numerical schemes.
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Variational Methods in Shape Optimization Problems (Progress in Nonlinear Differential Equations and Their Applications)
Dorin Bucur , and
Giuseppe Buttazzo
Manufacturer: Birkhäuser Boston
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ASIN: 0817643591 |
Book Description
The study of shape optimization problems encompasses a wide spectrum of academic research with numerous applications to the real world. In this work these problems are treated from both the classical and modern perspectives and target a broad audience of graduate students in pure and applied mathematics, as well as engineers requiring a solid mathematical basis for the solution of practical problems.
Key topics and features:
* Presents foundational introduction to shape optimization theory
* Studies certain classical problems: the isoperimetric problem and the Newton problem involving the best aerodynamical shape, and optimization problems over classes of convex domains
* Treats optimal control problems under a general scheme, giving a topological framework, a survey of "gamma"-convergence, and problems governed by ODE
* Examines shape optimization problems with Dirichlet and Neumann conditions on the free boundary, along with the existence of classical solutions
* Studies optimization problems for obstacles and eigenvalues of elliptic operators
* Poses several open problems for further research
* Substantial bibliography and index
Driven by good examples and illustrations and requiring only a standard knowledge in the calculus of variations, differential equations, and functional analysis, the book can serve as a text for a graduate course in computational methods of optimal design and optimization, as well as an excellent reference for applied mathematicians addressing functional shape optimization problems.
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Elliptic Boundary Value Problems With Indefinite Weights: Variational Formulations of the Principal Eigenvalue and Applications (Research Notes in Mathematics Series)
Fethi Belgacem
Manufacturer: Chapman & Hall/CRC
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ASIN: 0582315972 |
Book Description
Elliptic Boundary Value Problems With Indefinite Weights presents a unified approach to the methodologies dealing with eigenvalue problems involving indefinite weights. The principal eigenvalue for such problems is characterized for various boundary conditions. Such characterizations are used, in particular, to formulate criteria for the persistence and extinctions of populations, and applications of the formulations obtained can be quite extensive.
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The Inverse Variational Problem in Classical Mechanics
Jan Lopuszanski
Manufacturer: World Scientific Publishing Company
ProductGroup: Book
Binding: Hardcover
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ASIN: 981024178X |
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Complementarity & Variational Problems: State of the Art (Proceedings in Applied Mathematics)
Manufacturer: Soc for Industrial & Applied Math
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ASIN: 0898713919 |
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Schaum's Outline of Differential Equations, 3rd edition (Schaum's Outlines)
Schaum's Outline of Fourier Analysis with Applications to Boundary Value Problems
Schaum's Outline of Advanced Calculus, Second Edition
Schaum's Outline of Advanced Mathematics for Engineers and Scientists
Schaum's Outline of Complex Variables
