عنوان
پدید آورنده
موضوع
رده
QA377
QA377
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
3319124927
(Number (ISBN
3319124935
(Number (ISBN
9783319124926
(Number (ISBN
9783319124933
Erroneous ISBN
9783319124926
NATIONAL BIBLIOGRAPHY NUMBER
Number
b623864
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Applied partial differential equations /
General Material Designation
[Book]
First Statement of Responsibility
J. David Logan.
EDITION STATEMENT
Edition Statement
Third edition.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource (x, 289 pages) :
Other Physical Details
illustrations
SERIES
Series Title
Undergraduate texts in mathematics
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index.
CONTENTS NOTE
Text of Note
Intro; Contents; Preface to the Third Edition; To Students; 1 The Physical Origins of Partial Differential Equations; 1.1 PDE Models; 1.2 Conservation Laws; 1.3 Diffusion; 1.4 Diffusion and Randomness; 1.5 Vibrations and Acoustics; 1.6 Quantum Mechanics*; 1.7 Heat Conduction in Higher Dimensions; 1.8 Laplace's Equation; 1.9 Classification of PDEs; 2 Partial Differential Equations on Unbounded Domains; 2.1 Cauchy Problem for the Heat Equation; 2.2 Cauchy Problem for the Wave Equation; 2.3 Well-Posed Problems; 2.4 Semi-Infinite Domains; 2.5 Sources and Duhamel's Principle
Text of Note
2.6 Laplace Transforms2.7 Fourier Transforms; 3 Orthogonal Expansions; 3.1 The Fourier Method; 3.2 Orthogonal Expansions; 3.3 Classical Fourier Series; 4 Partial Differential Equations on Bounded Domains; 4.1 Overview of Separation of Variables; 4.2 Sturm-Liouville Problems; 4.3 Generalization and Singular Problems; 4.4 Laplace's Equation; 4.5 Cooling of a Sphere; 4.6 Diffusion in a Disk; 4.7 Sources on Bounded Domains; 4.8 Poisson's Equation*; 5 Applications in the Life Sciences; 5.1 Age-Structured Models; 5.2 Traveling Waves Fronts; 5.3 Equilibria and Stability
Text of Note
6 Numerical Computation of Solutions6.1 Finite Difference Approximations; 6.2 Explicit Scheme for the Heat Equation; 6.3 Laplace's Equation; 6.4 Implicit Scheme for the Heat Equation; A Differential Equations; References; Index
0
8
8
SUMMARY OR ABSTRACT
Text of Note
... Reading this book and solving the problems, the students will have a solid base for a course in partial differential equations ... ." -Tibor Krisztin, Acta Scientiarum Mathematicarum, Vol.
Text of Note
150 (4), 2007 "This is a unique book in the sense that it provides a coverage of the main topics of the subject in a concise style which is accessible to science and engineering students.
Text of Note
74, 2008.
Text of Note
A brief appendix reviews techniques from ordinary differential equations.
Text of Note
A student who reads this book and works many of the exercises will have a sound knowledge for a second course in partial differential equations or for courses in advanced engineering and science.
Text of Note
Emphasis is placed on motivation, concepts, methods, and interpretation, rather than on formal theory.
Text of Note
From the reviews of the second edition: "This second edition of the short undergraduate text provides a fist course in PDE aimed at students in mathematics, engineering and the sciences.
Text of Note
In this third edition, text remains intimately tied to applications in heat transfer, wave motion, biological systems, and a variety other topics in pure and applied science.
Text of Note
Many exercises and worked examples have been added to this edition.
Text of Note
Methods include eigenfunction expansions, integral transforms, and characteristics.
Text of Note
Prerequisites include calculus and ordinary differential equations.
Text of Note
Steinbauer, Monatshefte für Mathematik, Vol.
Text of Note
The concise treatment of the subject is maintained in this third edition covering all the major ideas: the wave equation, the diffusion equation, the Laplace equation, and the advection equation on bounded and unbounded domains.
Text of Note
The exposition is presented in a friendly, easy-to-read, style, with mathematical ideas motivated from physical problems.
Text of Note
The material is standard ... Strong emphasis is put on modeling and applications throughout; the main text is supplied with many examples and exercises." -R.
Text of Note
The text offers flexibility to instructors who, for example, may wish to insert topics from biology or numerical methods at any time in the course.
Text of Note
This text presents the standard material usually covered in a one-semester, undergraduate course on boundary value problems and PDEs.
Text of Note
Two additional chapters include short introductions to applications of PDEs in biology and a new chapter to the computation of solutions.
TOPICAL NAME USED AS SUBJECT
Differential equations, Partial.
Mathematics.
Differential equations, Partial.
DEWEY DECIMAL CLASSIFICATION
Number
515/
.
353
Edition
23
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA377
PERSONAL NAME - PRIMARY RESPONSIBILITY
Logan, J. David, (John David)
ORIGINATING SOURCE
Date of Transaction
20201221082949.0
Cataloguing Rules (Descriptive Conventions))
pn
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
270410
Y
