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ISBN: 9780691025285
ID: 978069102528
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. Konrad Jacobs, Books, Science and Nature, Invitation to Mathematics Books>Science and Nature, Princeton University Press
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ISBN: 0691025282
ID: 4609710
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. education and reference,math,mathematics,science and math,science and math,textbooks Mathematics, Princeton University Press
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ISBN: 9780691025285
ID: 2545360
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. Invitation to Mathematics Jacobs, Konrad, Princeton University Press
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ISBN: 9780691025285
ID: 702114956
Mathematics is not only a storehouse of knowable facts. Above all it is a playground for well-trained activity. A book like this should therefore show a certain balance between its role in reporting facts, proving results, and issuing invitations to the reader to become actively involved. Invitation to Mathematics Buch (fremdspr.) Bücher>Fremdsprachige Bücher>Englische Bücher, Princeton University Press
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1991, ISBN: 0691025282
ID: 17408897341
[EAN: 9780691025285], Fine, [PU: Princeton University Press, 30.11.1991.], Mathematics|Advanced, Mathematics|General, 260 Seiten Buch ist leicht verlagert (wellig), kleine Lagerspuren am Buch, Inhalt einwandfrei und ungelesen 211903 Sprache: Englisch Gewicht in Gramm: 420 24,2 x 16,2 x 2,2 cm, Taschenbuch
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Title: | Invitation to Mathematics |
ISBN: | 9780691025285 |
Details of the book - Invitation to Mathematics
EAN (ISBN-13): 9780691025285
ISBN (ISBN-10): 0691025282
Paperback
Publishing year: 1992
Publisher: PRINCETON UNIV PR
260 Pages
Weight: 0,499 kg
Language: eng/Englisch
Book in our database since 06.06.2007 12:11:59
Book found last time on 22.12.2016 12:05:51
ISBN/EAN: 9780691025285
ISBN - alternate spelling:
0-691-02528-2, 978-0-691-02528-5
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