About the Book
This textbook is for the standard, one-semester, junior-senior course that often goes by the title "Elementary Partial Differential Equations" or "Boundary Value Problems." The audience consists of students in mathematics, engineering, and the physical sciences. The topics include derivations of some of the standard models of mathematical physics (e.g., the heat equation, the wave equation, and Laplace s equation) and methods for solving those equations on unbounded and bounded domains (transform methods and eigenfunction expansions). Prerequisites include multivariable calculus and elementary differential equations. The text differs from other texts in that it is a brief treatment; yet it provides coverage of the main topics usually studied in the standard course as well as an introduction to using computer algebra packages to solve and understand partial differential equations. The many exercises help students sharpen their computational skills by encouraging them to think about concepts and derivations. The student who reads this book carefully and solves most of the problems will have a sound knowledge base for a second-year partial differential equations course where careful proofs are constructed or for upper division courses in science and engineering where detailed applications of partial differential equations are introduced.
To give this text an even wider appeal, the second edition has been updated with a new chapter on partial differential equation models in biology, and with various examples from the life sciences that have been added throughout the text. There are more exercises, as well as solutions and hints to some of the problems at the end of the book."
Review :
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. The material is standard . Strong emphasis is put on modeling and applications throughout; the main text is supplied with many examples and exercises." (R. Steinbauer, Monatshefte fur Mathematik, Vol. 150 (4), 2007) "This book contains an elementary introduction of partial differential equations to undergraduate students in mathematics, engineering, and physical sciences. 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. 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. 74, 2008)
From the reviews of the second edition: "Courses in partial differential equations (PDEs) tend to have very standard coverage. Logan a ] goes a bit beyond the basics. a ] There are a large number of exercises a ] . The coverage is appropriate and the explanations are understandable and thorough. Therefore, I would not hesitate to use it as a textbook." (Charles Ashbacher, MathDL, May, 2005)
"This textbook is intended for a standard, one-semester, junior-senior course on Elementary Partial Differential Equations, or Boundary Value Problems. The audience is supposed to consists of students in mathematics, engineering, and sciences. a ] Each chapter contains bibliographic notes, and specific references. a ] The book is an interesting compilation of basic mathematics for the physical sciences, presented in a logic style, very didactic and attractive in reading. In brief, a must, and its content should be standard knowledge for advanced students and researchers." (Roland Carchon, Physicalia Magazine, Vol. 28 (1), 2006)
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. The material is standard . Strong emphasis is put on modeling and applications throughout; the main text is supplied with many examples and exercises." (R. Steinbauer, Monatshefte f r Mathematik, Vol. 150 (4), 2007)
"This book contains an elementary introduction of partial differential equations to undergraduate students in mathematics, engineering, and physical sciences. 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. 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. 74, 2008)
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. The material is standard . Strong emphasis is put on modeling and applications throughout; the main text is supplied with many examples and exercises." (R. Steinbauer, Monatshefte fur Mathematik, Vol. 150 (4), 2007)
"This book contains an elementary introduction of partial differential equations to undergraduate students in mathematics, engineering, and physical sciences. 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. 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. 74, 2008)
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. The material is standard . Strong emphasis is put on modeling and applications throughout; the main text is supplied with many examples and exercises." (R. Steinbauer, Monatshefte fur Mathematik, Vol. 150 (4), 2007)
"This book contains an elementary introduction of partial differential equations to undergraduate students in mathematics, engineering, and physical sciences. 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. 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. 74, 2008)"
