Mathematics Mechanization -  WU WEN-TSUN

Mathematics Mechanization

Mechanical Geometry Theorem-Proving, Mechanical Geometry Problem-Solving and Polynomial Equations-Solving

(Autor)

Buch | Hardcover
420 Seiten
2001
Springer (Verlag)
978-0-7923-5835-0 (ISBN)
106,99 inkl. MwSt
This book is a collection of essays centred around the subject of mathematical mechanization.
Audience: This volume will be of interest to research and applied mathematicians, computer scientists and historians in mathematics.
This book is a collection of essays centred around the subject of mathematical mechanization. It tries to deal with mathematics in a constructive and algorithmic manner so that reasoning becomes mechanical, automated and less laborious.
The book is divided into three parts. Part I concerns historical developments of mathematics mechanization, especially in ancient China. Part II describes the underlying principles of polynomial equation-solving, with polynomial coefficients in fields restricted to the case of characteristic 0. Based on the general principle, some methods of solving such arbitrary polynomial systems may be found. This part also goes back to classical Chinese mathematics as well as treating modern works in this field. Finally, Part III contains applications and examples.
Audience: This volume will be of interest to research and applied mathematicians, computer scientists and historians in mathematics.

Preface. Part I: Historical Developments. 1. Polynomial Equations-Solving in Ancient Times, Mainly in Ancient China. 2. Historical Development of Geometry Theorem-Proving and Geometry Problem-Solving in Ancient Times. Part II: Principles and Methods. 3. Algebraic Varieties as Zero-Sets and Characteristic-Set Method. 4. Some Topics in Computer Algebra. 5. Some Topics in Computational Algebraic Geometry. Part III: Applications and Examples. 6. Applications to Polynomial Equations-Solving. 7. Applications to Geometry Theorem-Proving. 8. Diverse Applications. Bibliography. Index.

Erscheint lt. Verlag 30.4.2001
Reihe/Serie Mathematics and Its Applications ; 489
Mathematics and Its Applications ; 489
Zusatzinfo XII, 420 p.
Verlagsort Dordrecht
Sprache englisch
Maße 155 x 235 mm
Themenwelt Geisteswissenschaften Philosophie Logik
Informatik Theorie / Studium Künstliche Intelligenz / Robotik
Mathematik / Informatik Mathematik Allgemeines / Lexika
Mathematik / Informatik Mathematik Logik / Mengenlehre
ISBN-10 0-7923-5835-X / 079235835X
ISBN-13 978-0-7923-5835-0 / 9780792358350
Zustand Neuware
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