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This is a WWW textbook written by Evans M. Harrell II and James V. Herod, both of Georgia Tech. It is suitable for a first course on partial differential equations, Fourier series and special functions, and integral equations. Students are expected to have completed two years of calculus and an introduction to ordinary differential equations and vector spaces. For recommended 10-week and 15-week syllabuses, read the preface.
This text concentrates on mathematical concepts rather than on details of calculations, which are often done with software, such as Maple or Mathematica. It is not necessary to have experience with Maple or Mathematica in order to read this text, nor is it the goal of this text to teach software, but there are links in the text to Maple worksheets and Mathematica notebooks, which perform calculations and provide some supplementary instructive material. The supplementary material exists both in a "flat" form, which can be read with Netscape, and also in an active form, requiring mathematical software.
The book is targeted at engineering students who have had two years of calculus, introductory linear algebra, and introductory ordinary differential equations. It has been used at Georgia Tech for a basic introduction to partial differential equations, Fourier series and other orthogonal series, integral equations, and linear operator theory, and our students have given the Web format high marks.
This is a WWW textbook written by Evans M. Harrell II and James V. Herod, both of Georgia Tech. It is suitable for a first course on partial differential equations, Fourier series and special functions, and integral equations. Students are expected to have completed two years of calculus and an introduction to ordinary differential equations and vector spaces. For recommended 10-week and 15-week syllabuses, read the preface.
This text concentrates on mathematical concepts rather than on details of calculations, which are often done with software, such as Maple or Mathematica. It is not necessary to have experience with Maple or Mathematica in order to read this text, nor is it the goal of this text to teach software, but there are links in the text to Maple worksheets and Mathematica notebooks, which perform calculations and provide some supplementary instructive material. The supplementary material exists both in a "flat" form, which can be read with Netscape, and also in an active form, requiring mathematical software.
The book is targeted at engineering students who have had two years of calculus, introductory linear algebra, and introductory ordinary differential equations. It has been used at Georgia Tech for a basic introduction to partial differential equations, Fourier series and other orthogonal series, integral equations, and linear operator theory, and our students have given the Web format high marks.
