Ebook712 pages24 hours
Partial Differential Equations of Applied Mathematics
Rating: 3.5 out of 5 stars
3.5/5
()
About this ebook
This new edition features the latest tools for modeling, characterizing, and solving partial differential equations
The Third Edition of this classic text offers a comprehensive guide to modeling, characterizing, and solving partial differential equations (PDEs). The author provides all the theory and tools necessary to solve problems via exact, approximate, and numerical methods. The Third Edition retains all the hallmarks of its previous editions, including an emphasis on practical applications, clear writing style and logical organization, and extensive use of real-world examples.
Among the new and revised material, the book features:
* A new section at the end of each original chapter, exhibiting the use of specially constructed Maple procedures that solve PDEs via many of the methods presented in the chapters. The results can be evaluated numerically or displayed graphically.
* Two new chapters that present finite difference and finite element methods for the solution of PDEs. Newly constructed Maple procedures are provided and used to carry out each of these methods. All the numerical results can be displayed graphically.
* A related FTP site that includes all the Maple code used in the text.
* New exercises in each chapter, and answers to many of the exercises are provided via the FTP site. A supplementary Instructor's Solutions Manual is available.
The book begins with a demonstration of how the three basic types of equations-parabolic, hyperbolic, and elliptic-can be derived from random walk models. It then covers an exceptionally broad range of topics, including questions of stability, analysis of singularities, transform methods, Green's functions, and perturbation and asymptotic treatments. Approximation methods for simplifying complicated problems and solutions are described, and linear and nonlinear problems not easily solved by standard methods are examined in depth. Examples from the fields of engineering and physical sciences are used liberally throughout the text to help illustrate how theory and techniques are applied to actual problems.
With its extensive use of examples and exercises, this text is recommended for advanced undergraduates and graduate students in engineering, science, and applied mathematics, as well as professionals in any of these fields. It is possible to use the text, as in the past, without use of the new Maple material.
The Third Edition of this classic text offers a comprehensive guide to modeling, characterizing, and solving partial differential equations (PDEs). The author provides all the theory and tools necessary to solve problems via exact, approximate, and numerical methods. The Third Edition retains all the hallmarks of its previous editions, including an emphasis on practical applications, clear writing style and logical organization, and extensive use of real-world examples.
Among the new and revised material, the book features:
* A new section at the end of each original chapter, exhibiting the use of specially constructed Maple procedures that solve PDEs via many of the methods presented in the chapters. The results can be evaluated numerically or displayed graphically.
* Two new chapters that present finite difference and finite element methods for the solution of PDEs. Newly constructed Maple procedures are provided and used to carry out each of these methods. All the numerical results can be displayed graphically.
* A related FTP site that includes all the Maple code used in the text.
* New exercises in each chapter, and answers to many of the exercises are provided via the FTP site. A supplementary Instructor's Solutions Manual is available.
The book begins with a demonstration of how the three basic types of equations-parabolic, hyperbolic, and elliptic-can be derived from random walk models. It then covers an exceptionally broad range of topics, including questions of stability, analysis of singularities, transform methods, Green's functions, and perturbation and asymptotic treatments. Approximation methods for simplifying complicated problems and solutions are described, and linear and nonlinear problems not easily solved by standard methods are examined in depth. Examples from the fields of engineering and physical sciences are used liberally throughout the text to help illustrate how theory and techniques are applied to actual problems.
With its extensive use of examples and exercises, this text is recommended for advanced undergraduates and graduate students in engineering, science, and applied mathematics, as well as professionals in any of these fields. It is possible to use the text, as in the past, without use of the new Maple material.
Related to Partial Differential Equations of Applied Mathematics
Titles in the series (38)
The Hilbert Transform of Schwartz Distributions and Applications Rating: 0 out of 5 stars0 ratingsPost-Modern Algebra Rating: 3 out of 5 stars3/5Lebesgue Measure and Integration: An Introduction Rating: 0 out of 5 stars0 ratingsGroups and Characters Rating: 0 out of 5 stars0 ratingsFundamentals of Matrix Computations Rating: 0 out of 5 stars0 ratingsPositive Linear Systems: Theory and Applications Rating: 0 out of 5 stars0 ratingsAn Introduction to Metric Spaces and Fixed Point Theory Rating: 0 out of 5 stars0 ratingsVector Integration and Stochastic Integration in Banach Spaces Rating: 0 out of 5 stars0 ratingsConformal Differential Geometry and Its Generalizations Rating: 0 out of 5 stars0 ratingsA Posteriori Error Estimation in Finite Element Analysis Rating: 0 out of 5 stars0 ratingsApplied Functional Analysis Rating: 0 out of 5 stars0 ratingsThe Fourier-Analytic Proof of Quadratic Reciprocity Rating: 0 out of 5 stars0 ratingsFunctional Analysis: An Introduction to Banach Space Theory Rating: 0 out of 5 stars0 ratingsPartial Differential Equations and the Finite Element Method Rating: 0 out of 5 stars0 ratingsConvexity and Optimization in Rn Rating: 0 out of 5 stars0 ratingsModern Algebra with Applications Rating: 0 out of 5 stars0 ratingsGalois Theory Rating: 0 out of 5 stars0 ratingsPartial Differential Equations of Applied Mathematics Rating: 4 out of 5 stars4/5Building and Solving Mathematical Programming Models in Engineering and Science Rating: 4 out of 5 stars4/5Principles of Differential Equations Rating: 0 out of 5 stars0 ratingsTopology: Point-Set and Geometric Rating: 0 out of 5 stars0 ratingsNumerical Analysis of Partial Differential Equations Rating: 0 out of 5 stars0 ratingsGreen's Functions and Boundary Value Problems Rating: 0 out of 5 stars0 ratingsRevolutions of Geometry Rating: 0 out of 5 stars0 ratingsTime-Dependent Problems and Difference Methods Rating: 0 out of 5 stars0 ratingsLinear Algebra and Its Applications Rating: 3 out of 5 stars3/5Topology and Its Applications Rating: 3 out of 5 stars3/5Primes of the Form x2+ny2: Fermat, Class Field Theory, and Complex Multiplication Rating: 0 out of 5 stars0 ratingsThe Mathematics of Infinity: A Guide to Great Ideas Rating: 0 out of 5 stars0 ratings
Related ebooks
Asymptotic Wave Theory Rating: 0 out of 5 stars0 ratingsIntroduction to Group Theory with Applications: Materials Science and Technology Rating: 1 out of 5 stars1/5Quantum Field Theory: An Integrated Approach Rating: 0 out of 5 stars0 ratingsGeneralized Functions: Theory and Technique Rating: 5 out of 5 stars5/5Measure and Integration: A Concise Introduction to Real Analysis Rating: 0 out of 5 stars0 ratingsFeedback Systems: Input-output Properties Rating: 0 out of 5 stars0 ratingsIntroduction to Higher Algebra Rating: 0 out of 5 stars0 ratingsA Course in Ordinary and Partial Differential Equations Rating: 4 out of 5 stars4/5Partial Differential Equations of Mathematical Physics: International Series of Monographs in Pure and Applied Mathematics Rating: 0 out of 5 stars0 ratingsNonlinear Differential Equations Rating: 0 out of 5 stars0 ratingsMatrices, Moments and Quadrature with Applications Rating: 5 out of 5 stars5/5Interior Point Algorithms: Theory and Analysis Rating: 0 out of 5 stars0 ratingsA Course of Mathematics for Engineerings and Scientists: Volume 2 Rating: 0 out of 5 stars0 ratingsLie Algebras Rating: 0 out of 5 stars0 ratingsManifold Theory: An Introduction for Mathematical Physicists Rating: 0 out of 5 stars0 ratingsMathematical Methods for Geophysics and Space Physics Rating: 0 out of 5 stars0 ratingsAn Introduction to Classical Complex Analysis Rating: 0 out of 5 stars0 ratingsA Geometric Algebra Invitation to Space-Time Physics, Robotics and Molecular Geometry Rating: 0 out of 5 stars0 ratingsOperator Methods in Quantum Mechanics Rating: 0 out of 5 stars0 ratingsGraphs and Tables of the Mathieu Functions and Their First Derivatives Rating: 0 out of 5 stars0 ratingsFactorization Methods for Discrete Sequential Estimation Rating: 0 out of 5 stars0 ratingsTheoretical Mechanics for Sixth Forms: In Two Volumes Rating: 0 out of 5 stars0 ratingsHandbook of Numerical Methods for the Solution of Algebraic and Transcendental Equations Rating: 0 out of 5 stars0 ratingsVector and Operator Valued Measures and Applications Rating: 0 out of 5 stars0 ratingsSingular Optimal Control Problems Rating: 0 out of 5 stars0 ratingsA Guide to the Solar Corona Rating: 0 out of 5 stars0 ratingsNon-Linear Differential Equations Rating: 0 out of 5 stars0 ratingsDifferential and Riemannian Geometry Rating: 0 out of 5 stars0 ratingsTopology: Point-Set and Geometric Rating: 0 out of 5 stars0 ratingsInequalities for Differential and Integral Equations Rating: 0 out of 5 stars0 ratings
Mathematics For You
Basic Math & Pre-Algebra For Dummies Rating: 4 out of 5 stars4/5Algebra - The Very Basics Rating: 5 out of 5 stars5/5The Golden Ratio: The Divine Beauty of Mathematics Rating: 5 out of 5 stars5/5Calculus Made Easy Rating: 4 out of 5 stars4/5The Little Book of Mathematical Principles, Theories & Things Rating: 3 out of 5 stars3/5Algebra I Workbook For Dummies Rating: 3 out of 5 stars3/5Geometry For Dummies Rating: 5 out of 5 stars5/5Mental Math Secrets - How To Be a Human Calculator Rating: 5 out of 5 stars5/5Quantum Physics for Beginners Rating: 4 out of 5 stars4/5Basic Math & Pre-Algebra Workbook For Dummies with Online Practice Rating: 4 out of 5 stars4/5The Everything Guide to Algebra: A Step-by-Step Guide to the Basics of Algebra - in Plain English! Rating: 4 out of 5 stars4/5Painless Algebra Rating: 0 out of 5 stars0 ratingsCalculus Essentials For Dummies Rating: 5 out of 5 stars5/5Flatland Rating: 4 out of 5 stars4/5The Everything Everyday Math Book: From Tipping to Taxes, All the Real-World, Everyday Math Skills You Need Rating: 5 out of 5 stars5/5Precalculus: A Self-Teaching Guide Rating: 4 out of 5 stars4/5Mental Math: Tricks To Become A Human Calculator Rating: 5 out of 5 stars5/5Is God a Mathematician? Rating: 4 out of 5 stars4/5The Thirteen Books of the Elements, Vol. 1 Rating: 0 out of 5 stars0 ratingsIntroducing Game Theory: A Graphic Guide Rating: 4 out of 5 stars4/5Game Theory: A Simple Introduction Rating: 4 out of 5 stars4/5Summary of The Black Swan: by Nassim Nicholas Taleb | Includes Analysis Rating: 5 out of 5 stars5/5Relativity: The special and the general theory Rating: 5 out of 5 stars5/5A Mind for Numbers | Summary Rating: 4 out of 5 stars4/5My Best Mathematical and Logic Puzzles Rating: 5 out of 5 stars5/5
Reviews for Partial Differential Equations of Applied Mathematics
Rating: 3.5 out of 5 stars
3.5/5
1 rating0 reviews
Book preview
Partial Differential Equations of Applied Mathematics - Erich Zauderer
Enjoying the preview?
Page 1 of 1