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  3. Matematik

Invitation to Mathematics

Af: Konrad Jacobs Engelsk Paperback

Invitation to Mathematics

Af: Konrad Jacobs Engelsk Paperback
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Based on a well-received course designed for philosophy students, this book is an informal introduction to mathematical thinking. The work will be rewarding not only for philosophers concerned with mathematical questions but also for serious amateur mathematicians with an interest in the "frontiers" as well as the foundations of mathematics. In what might be termed a sampler of the discipline, Konrad Jacobs discusses an unusually wide range of topics, including such items of contemporary interest as knot theory, optimization theory, and dynamical systems. Using Euclidean geometry and algebra to introduce the mathematical mode of thought, the author then turns to recent developments. In the process he offers what he calls a "Smithsonian of mathematical showpieces": the five Platonic Solids, the Mbius Strip, the Cantor Discontinuum, the Peano Curve, Reidemeister''s Knot Table, the plane ornaments, Alexander''s Horned Sphere, and Antoine''s Necklace. The treatments of geometry and algebra are followed by a chapter on induction and one on optimization, game theory, and mathematical economics. The chapter on topology includes a discussion of topological spaces and continuous mappings, curves and knots, Euler''s polyhedral formula for surfaces, and the fundamental group. The last chapter deals with dynamics and contains material on the Game of Life, circle rotation, Smale''s "horseshoe," and stability and instability, among other topics.

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Based on a well-received course designed for philosophy students, this book is an informal introduction to mathematical thinking. The work will be rewarding not only for philosophers concerned with mathematical questions but also for serious amateur mathematicians with an interest in the "frontiers" as well as the foundations of mathematics. In what might be termed a sampler of the discipline, Konrad Jacobs discusses an unusually wide range of topics, including such items of contemporary interest as knot theory, optimization theory, and dynamical systems. Using Euclidean geometry and algebra to introduce the mathematical mode of thought, the author then turns to recent developments. In the process he offers what he calls a "Smithsonian of mathematical showpieces": the five Platonic Solids, the Mbius Strip, the Cantor Discontinuum, the Peano Curve, Reidemeister''s Knot Table, the plane ornaments, Alexander''s Horned Sphere, and Antoine''s Necklace. The treatments of geometry and algebra are followed by a chapter on induction and one on optimization, game theory, and mathematical economics. The chapter on topology includes a discussion of topological spaces and continuous mappings, curves and knots, Euler''s polyhedral formula for surfaces, and the fundamental group. The last chapter deals with dynamics and contains material on the Game of Life, circle rotation, Smale''s "horseshoe," and stability and instability, among other topics.

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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 264
ISBN-13: 9780691025285
Indbinding: Paperback
Udgave:
ISBN-10: 0691025282
Kategori: Matematik
Udg. Dato: 2 aug 1992
Længde: 0mm
Bredde: 152mm
Højde: 229mm
Forlag: Princeton University Press
Oplagsdato: 2 aug 1992
Forfatter(e): Konrad Jacobs
Forfatter(e) Konrad Jacobs

Kategori Matematik

ISBN-13 9780691025285

Sprog Engelsk

Indbinding Paperback

Sider 264

Udgave

Længde 0mm

Bredde 152mm

Højde 229mm

Udg. Dato 2 aug 1992

Oplagsdato 2 aug 1992

Forlag Princeton University Press

Kategori sammenhænge