Del i serien Mathematics and Its Applications

Mathematics Mechanization

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

Inbunden, Engelska, 2001

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This collection of essays centres 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. 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.

Produktinformation

Utgivningsdatum2001-04-30
Mått155 x 235 x 28 mm
Vikt816 g
FormatInbunden
SpråkEngelska
SerieMathematics and Its Applications
Antal sidor420
Upplaga2001
FörlagKluwer Academic Publishers
ISBN9780792358350

Tillhör följande kategorier

Matematikens grunder inom Naturvetenskap och teknik

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.