"I enjoyed perusing O'Neil's book. A beginner in the field of PDEs will learn quite a number of juicy facts concerning the flow of heat and the transmission of waves. While a next step will undoubtedly involve more rigor in the use of analytic tools, this first course will catch the attention of those with a curiosity for studying physical processes using differential equations.„ (Mathematical Association of America, 15 February 2015)
“This book is one of the textbooks that provide an introduction to basic methods and applications of partial differential equations for students of mathematics, physics and engineering." (Zentralblatt MATH, 1 October 2014)
Beginning Partial Differential Equations
von Peter V. O'NeilA broad introduction to PDEs with an emphasis on specializedtopics and applications occurring in a variety of fields
Featuring a thoroughly revised presentation of topics, Beginning Partial Differential Equations, Third Editionprovides a challenging, yet accessible, combination of techniques, applications, and introductory theory on the subjectof partialdifferential equations. The new edition offers nonstandardcoverageon material including Burger's equation, thetelegraph equation, damped wavemotion, and the use ofcharacteristics to solve nonhomogeneous problems.
The Third Edition is organized around four themes: methods of solution for initial-boundary value problems; applications of partial differential equations; existence andproperties of solutions; and the use of software to experiment withgraphics and carry out computations. With a primary focus on waveand diffusion processes, Beginning Partial DifferentialEquations, Third Edition also includes:
* Proofs of theorems incorporated within the topicalpresentation, such as the existence of a solution for the Dirichletproblem
* The incorporation of Maple(TM) to perform computations andexperiments
* Unusual applications, such as Poe's pendulum
* Advanced topical coverage of special functions, such as Bessel, Legendre polynomials, and spherical harmonics
* Fourier and Laplace transform techniques to solve importantproblems
Beginning of Partial Differential Equations, ThirdEdition is an ideal textbook for upper-undergraduate andfirst-year graduate-level courses in analysis and appliedmathematics, science, and engineering.
Featuring a thoroughly revised presentation of topics, Beginning Partial Differential Equations, Third Editionprovides a challenging, yet accessible, combination of techniques, applications, and introductory theory on the subjectof partialdifferential equations. The new edition offers nonstandardcoverageon material including Burger's equation, thetelegraph equation, damped wavemotion, and the use ofcharacteristics to solve nonhomogeneous problems.
The Third Edition is organized around four themes: methods of solution for initial-boundary value problems; applications of partial differential equations; existence andproperties of solutions; and the use of software to experiment withgraphics and carry out computations. With a primary focus on waveand diffusion processes, Beginning Partial DifferentialEquations, Third Edition also includes:
* Proofs of theorems incorporated within the topicalpresentation, such as the existence of a solution for the Dirichletproblem
* The incorporation of Maple(TM) to perform computations andexperiments
* Unusual applications, such as Poe's pendulum
* Advanced topical coverage of special functions, such as Bessel, Legendre polynomials, and spherical harmonics
* Fourier and Laplace transform techniques to solve importantproblems
Beginning of Partial Differential Equations, ThirdEdition is an ideal textbook for upper-undergraduate andfirst-year graduate-level courses in analysis and appliedmathematics, science, and engineering.
