Sawyer, W. W. Prelude to Mathematics

ISBN 13: 9780486244013

Prelude to Mathematics

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9780486244013: Prelude to Mathematics

A noted educator's account of some of the more stimulating and surprising branches of mathematics, this volume profiles the mathematical mind and the aims of mathematics. Five introductory chapters offer conceptual groundwork, and subsequent chapters present lucid, accessible explorations of non-Euclidean geometry, matrices, determinants, group theory, and related topics. 1955 edition.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Contenuti:

1. On Beauty and Power 2. What are the Qualities of a Mathematician? 3. Pattern in Elementary Mathematics 4. Generalization in Elementary Mathematics 5. On Unification 6. Geometries other than Euclid's 7. Algebra without Arithmetic 8. Matrix Alegbra 9. Determinants 10. Projective Geometry 11. On Apparent Impossibilities 12. On Transformations 13. Finite Arithmetics and Geometries 14. On Groups

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

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W. W. Sawyer
Editore: Dover Publications Inc., United States (2011)
ISBN 10: 0486244016 ISBN 13: 9780486244013
Nuovi Paperback Quantità: 1
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Descrizione libro Dover Publications Inc., United States, 2011. Paperback. Condizione libro: New. Revised edition. 208 x 135 mm. Language: English . Brand New Book. No mathematician can be a complete mathematician unless he is also something of a poet. -- K. Weierstrass In this lively and stimulating account, noted mathematician and educator W. W. Sawyer (Professor Emeritus, University of Toronto) defines mathematics as the classification and study of all possible patterns. It is a broad definition, but one that seems appropriate to the great scope and depth of the topic. Indeed, mathematics seems to have few boundaries, either in applications to practical matters or in its mind-stretching excursions into realms of pure abstraction. Gearing his approach to the layman whose grasp of things mathematical may be a bit precarious, Professor Sawyer offers a lucid, accessible introduction to the mathematician s cast of mind. Five well-written preliminary chapters explore the beauty, power and mysticism of mathematics; the role of math as an adjunct in utilitarian matters; and the concepts of pattern, generalization and unification as both tools and goals of mathematical thought. After developing this conceptual groundwork, the author goes on to treat of more advanced topics: non-Euclidean geometry, matrices, projective geometry, determinants, transformations and group theory. The emphasis here is not on mathematics with great practical utility, but on those branches which are exciting in themselves -- mathematics which offers the strange, the novel, the apparently impossible -- for example, an arithmetic in which no number is larger than four. Mathematicians will appreciate the author s grasp of a wide range of important mathematical topics, and his ability to illuminate the complex issues involved; laymen, especially those with a minimal math background, will appreciate the accessibility of much of the book, which affords not only a portrait of mathematics as a matchless tool for probing the nature of the universe, but a revealing glimpse of that mysterious entity called the mathematical mind. Professor Sawyer has further enhanced this new Dover edition with updated material on group theory, appearing here in English for the first time. Codice libro della libreria AAC9780486244013

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W. W. Sawyer
Editore: Dover Publications Inc., United States (2011)
ISBN 10: 0486244016 ISBN 13: 9780486244013
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Descrizione libro Dover Publications Inc., United States, 2011. Paperback. Condizione libro: New. Revised edition. 208 x 135 mm. Language: English . Brand New Book. No mathematician can be a complete mathematician unless he is also something of a poet. -- K. Weierstrass In this lively and stimulating account, noted mathematician and educator W. W. Sawyer (Professor Emeritus, University of Toronto) defines mathematics as the classification and study of all possible patterns. It is a broad definition, but one that seems appropriate to the great scope and depth of the topic. Indeed, mathematics seems to have few boundaries, either in applications to practical matters or in its mind-stretching excursions into realms of pure abstraction. Gearing his approach to the layman whose grasp of things mathematical may be a bit precarious, Professor Sawyer offers a lucid, accessible introduction to the mathematician s cast of mind. Five well-written preliminary chapters explore the beauty, power and mysticism of mathematics; the role of math as an adjunct in utilitarian matters; and the concepts of pattern, generalization and unification as both tools and goals of mathematical thought. After developing this conceptual groundwork, the author goes on to treat of more advanced topics: non-Euclidean geometry, matrices, projective geometry, determinants, transformations and group theory. The emphasis here is not on mathematics with great practical utility, but on those branches which are exciting in themselves -- mathematics which offers the strange, the novel, the apparently impossible -- for example, an arithmetic in which no number is larger than four. Mathematicians will appreciate the author s grasp of a wide range of important mathematical topics, and his ability to illuminate the complex issues involved; laymen, especially those with a minimal math background, will appreciate the accessibility of much of the book, which affords not only a portrait of mathematics as a matchless tool for probing the nature of the universe, but a revealing glimpse of that mysterious entity called the mathematical mind. Professor Sawyer has further enhanced this new Dover edition with updated material on group theory, appearing here in English for the first time. Codice libro della libreria AAC9780486244013

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Descrizione libro Dover Publications Inc., 1983. PAP. Condizione libro: New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. Codice libro della libreria IB-9780486244013

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Descrizione libro Paperback. Condizione libro: New. Codice libro della libreria 2509052

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Descrizione libro Dover Publications, 2011. Paperback. Condizione libro: New. Codice libro della libreria 0486244016

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Descrizione libro Dover Publications. PAPERBACK. Condizione libro: New. 0486244016 Brand New Book. Ships from the United States. 30 Day Satisfaction Guarantee!. Codice libro della libreria 12831580

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W. W. Sawyer
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Descrizione libro Dover Publications. Paperback. Condizione libro: New. Paperback. 224 pages. Dimensions: 8.2in. x 5.3in. x 0.6in.No mathematician can be a complete mathematician unless he is also something of a poet. K. WeierstrassIn this lively and stimulating account, noted mathematician and educator W. W. Sawyer (Professor Emeritus, University of Toronto) defines mathematics as the classification and study of all possible patterns. It is a broad definition, but one that seems appropriate to the great scope and depth of the topic. Indeed, mathematics seems to have few boundaries, either in applications to practical matters or in its mind-stretching excursions into realms of pure abstraction. Gearing his approach to the layman whose grasp of things mathematical may be a bit precarious, Professor Sawyer offers a lucid, accessible introduction to the mathematicians cast of mind. Five well-written preliminary chapters explore the beauty, power and mysticism of mathematics; the role of math as an adjunct in utilitarian matters; and the concepts of pattern, generalization and unification as both tools and goals of mathematical thought. After developing this conceptual groundwork, the author goes on to treat of more advanced topics: non-Euclidean geometry, matrices, projective geometry, determinants, transformations and group theory. The emphasis here is not on mathematics with great practical utility, but on those branches which are exciting in themselves mathematics which offers the strange, the novel, the apparently impossible for example, an arithmetic in which no number is larger than four. Mathematicians will appreciate the authors grasp of a wide range of important mathematical topics, and his ability to illuminate the complex issues involved; laymen, especially those with a minimal math background, will appreciate the accessibility of much of the book, which affords not only a portrait of mathematics as a matchless tool for probing the nature of the universe, but a revealing glimpse of that mysterious entity called the mathematical mind. Professor Sawyer has further enhanced this new Dover edition with updated material on group theory, appearing here in English for the first time. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. Codice libro della libreria 9780486244013

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W.W. Sawyer
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Descrizione libro Paperback. Condizione libro: New. 136mm x 215mm x 11mm. Paperback. A noted educator's account of some of the more stimulating and surprising branches of mathematics, this volume profiles the mathematical mind and the aims of mathematics. Five introductory.Shipping may be from multiple locations in the US or from the UK, depending on stock availability. 224 pages. 0.308. Codice libro della libreria 9780486244013

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Sawyer, W. W.
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ISBN 10: 0486244016 ISBN 13: 9780486244013
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Descrizione libro Dover Publications. PAPERBACK. Condizione libro: New. 0486244016. Codice libro della libreria Z0486244016ZN

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