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  • Partial Differential Equations: Theory and Completely Solved Problems by T. Hillen book cover
  • Partial Differential Equations: Theory and Completely Solved Problems by T. Hillen book cover
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Partial Differential Equations: Theory and Completely Solved Problems

by T. Hillen

PDE theory paired with worked solutions

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AlbakiReads Editorial

PDE theory paired with worked solutions

T. Hillen’s textbook combines an introduction to linear partial differential equations with a substantial bank of worked problems. Its theory section ranges from classifying second-order equations and deriving the heat, wave, and Laplace equations to separation of variables, Fourier methods, Sturm–Liouville theory, special functions, and characteristics. A second part gathers more than 150 solved problems, arranged by difficulty, and closes with sample midterm and final exams with solutions. The two-part structure connects core concepts with opportunities to apply them across a broad set of PDE topics.

Good fit for readers who enjoy

  • University students taking a third-year course in partial differential equations
  • Instructors seeking worked exercises and sample exams for a PDE course
  • Learners looking for solved problems in linear PDEs and boundary value problems

Themes

Linear partial differential equationsBoundary value problemsMathematical methods and applicationsWorked problem-solving

Based on publisher information and book metadata.

Book overview

Provides more than 150 fully solved problems for linear partial differential equations and boundary value problems.

Partial Differential Equations: Theory and Completely Solved Problems offers a modern introduction into the theory and applications of linear partial differential equations (PDEs). It is the material for a typical third year university course in PDEs.

The material of this textbook has been extensively class tested over a period of 20 years in about 60 separate classes.

The book is divided into two parts. Part I contains the Theory part and covers topics such as a classification of second order PDEs, physical and biological derivations of the heat, wave and Laplace equations, separation of variables, Fourier series, D'Alembert's principle, Sturm-Liouville theory, special functions, Fourier transforms and the method of characteristics. Part II contains more than 150 fully solved problems, which are ranked according to their difficulty. The last two chapters include sample Midterm and Final exams for this course with full solutions.
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