Partial Differential Equations Maple

The first two editions of this book have been very well received by the com­ munity, but so many revisions ofthe Maple system have occurred since then that simply reprinting the out-of-stock book would not do anymore. A ma­ jor revision of the book was inevitable, too. The wording "major revision" must be taken seriously because I not only corrected typographical errors, rephrased text fragments, and updated many examples, but I also rewrote complete chapters and added new material. In particular, the chapter on differential equations now discusses Liesymmetry methods, partial differen­ tial equations, and numerical methods. Linear algebra is based throughout the book on the packages LinearAlgebra and VectorCalculus, which re­ place the deprecated package linalg. Maple users are strongly advised to do their work with the new packages. The chapter on simplification has been updated and expanded; it discusses the use of assumptions in more detail now. Last, but not least, a new chapter on Grabner basis theory and the Groebner package in Maple has been added to the book. It includes many applications of Grabner basis theory. Many of the Maple sessions have been rewritten so that they comply with the most recent version of Maple. As a result of all this work, hardly any section in the book has been left untouched. vi Preface to the Third Edition From the Preface of the Second Edition The first edition ofthis book has been very wellreceived by the community.

The first two editions of this book have been very well received by the com­ munity, but so many revisions ofthe Maple system have occurred since then that simply reprinting the out-of-stock book would not do anymore. A ma­ jor revision of the book was inevitable, too. The wording "major revision" must be taken seriously because I not only corrected typographical errors, rephrased text fragments, and updated many examples, but I also rewrote complete chapters and added new material. In particular, the chapter on differential equations now discusses Liesymmetry methods, partial differen­ tial equations, and numerical methods. Linear algebra is based throughout the book on the packages LinearAlgebra and VectorCalculus, which re­ place the deprecated package linalg. Maple users are strongly advised to do their work with the new packages. The chapter on simplification has been updated and expanded; it discusses the use of assumptions in more detail now. Last, but not least, a new chapter on Grabner basis theory and the Groebner package in Maple has been added to the book. It includes many applications of Grabner basis theory. Many of the Maple sessions have been rewritten so that they comply with the most recent version of Maple. As a result of all this work, hardly any section in the book has been left untouched. vi Preface to the Third Edition From the Preface of the Second Edition The first edition ofthis book has been very wellreceived by the community.

Maplesoft today announced a major new release of its flagship product, Maple, the mathematical software that makes it extremely easy to analyze, explore, visualize, and solve math problems. Maple 2018 includes substantial improvements to how customers interact with Maple, providing significant benefits to all users no matter what they use Maple for.

Maplesoft today announced a major new release of its flagship product, Maple, the mathematical software that makes it extremely easy to analyze, explore, visualize, and solve math problems. Maple 2018 includes substantial improvements to how customers interact with Maple, providing significant benefits to all users no matter what they use Maple for.

Maple 2019 brings you even more, even stronger mathematical capabilities, from enhancements to the core routines you use every day, to specialized tools that open up new areas of research. In addition, there are advances to the Maple programming language, more education tools, new visualizations, and lots more!

This collection covers all fields of mathematics, a must-have for the aspiring maths students and scholars alike.