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Introduction to Maple
Buch von Andre Heck
Sprache: Englisch

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Beschreibung
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.
Zusammenfassung
This fully revised edition of the best-selling Introduction to Maple
presents the modern computer algebra system Maple, teaching the reader
not only what can be done by Maple, but also how and why it can be
done. It provides the necessary background for those who want the most
of Maple or want to extend its built-in knowledge, containing both
elementary and more sophisticated examples as well as many exercises.
The typical reader should have a background in mathematics at the
intermediate level.
Inhaltsverzeichnis
1 Introduction to Computer Algebra.- 2 The First Steps: Calculus on Numbers.- 3 Variables and Names.- 4 Getting Around with Maple.- 5 Polynomials and Rational Functions.- 6 Internal Data Representation and Substitution.- 7 Manipulation of Polynomials and Rational Expressions.- 8 Functions.- 9 Differentiation.- 10 Integration and Summation.- 11 Series, Approximation, and Limits.- 12 Composite Data Types.- 13 The Assume Facility.- 14 Simplification.- 15 Graphics.- 16 Solving Equations.- 17 Differential Equations.- 18 The LinearAlgebra Package.- 19 Linear Algebra: Applications.- 20 A Bird's-Eye View of Grobner Bases.- References.
Details
Erscheinungsjahr: 2003
Fachbereich: Anwendungs-Software
Genre: Informatik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 848
Inhalt: xvi
828 S.
ISBN-13: 9780387002309
ISBN-10: 0387002308
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Heck, Andre
Auflage: 3rd ed. 2003
Hersteller: Springer US
Springer New York
Maße: 241 x 160 x 51 mm
Von/Mit: Andre Heck
Erscheinungsdatum: 08.04.2003
Gewicht: 1,42 kg
preigu-id: 102554683
Zusammenfassung
This fully revised edition of the best-selling Introduction to Maple
presents the modern computer algebra system Maple, teaching the reader
not only what can be done by Maple, but also how and why it can be
done. It provides the necessary background for those who want the most
of Maple or want to extend its built-in knowledge, containing both
elementary and more sophisticated examples as well as many exercises.
The typical reader should have a background in mathematics at the
intermediate level.
Inhaltsverzeichnis
1 Introduction to Computer Algebra.- 2 The First Steps: Calculus on Numbers.- 3 Variables and Names.- 4 Getting Around with Maple.- 5 Polynomials and Rational Functions.- 6 Internal Data Representation and Substitution.- 7 Manipulation of Polynomials and Rational Expressions.- 8 Functions.- 9 Differentiation.- 10 Integration and Summation.- 11 Series, Approximation, and Limits.- 12 Composite Data Types.- 13 The Assume Facility.- 14 Simplification.- 15 Graphics.- 16 Solving Equations.- 17 Differential Equations.- 18 The LinearAlgebra Package.- 19 Linear Algebra: Applications.- 20 A Bird's-Eye View of Grobner Bases.- References.
Details
Erscheinungsjahr: 2003
Fachbereich: Anwendungs-Software
Genre: Informatik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 848
Inhalt: xvi
828 S.
ISBN-13: 9780387002309
ISBN-10: 0387002308
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Heck, Andre
Auflage: 3rd ed. 2003
Hersteller: Springer US
Springer New York
Maße: 241 x 160 x 51 mm
Von/Mit: Andre Heck
Erscheinungsdatum: 08.04.2003
Gewicht: 1,42 kg
preigu-id: 102554683
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