Geometry Civilized
History, Culture and Technique
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A termék adatai:
- Kiadás sorszáma New ed
- Kiadó Oxford University Press
- Megjelenés dátuma 2000. január 13.
- ISBN 9780198506904
- Kötéstípus Puhakötés
- Terjedelem318 oldal
- Méret 246x189x19 mm
- Súly 709 g
- Nyelv angol
- Illusztrációk numerous halftones and line figures 0
Kategóriák
Rövid leírás:
This book takes a look at classical geometry, drawing on many familiar examples, both ancient and modern. The author looks at the origins of the subject and at its presence in various cultures throughout history.
TöbbHosszú leírás:
Geometry Civilized is a unique combination of history and mathematics. It contains a full introduction to plane geometry and trigonometry within a fascinating historical framework that sets off the technical material. This approach to geometrical ideas gives the book its unique, readable style. The author has included a wide range of unusual and engaging geometric problems, many of which are taken from practical applications, drawn from sources ranging from ancient to
modern. The study of geometry has been an important element of education in Europe since the time of the Greeks. This book helps us to understand why such emphasis has been placed on obtaining a good understanding of geometry. But the history presented here is not confined to the Western tradition.
Examples drawn from other cultures, particularly Chinese and Indian, underscore the peculiarities of the geometry we have inherited from the Greeks, and thereby make Euclid's approach more accessible. Book reviews from the hardback: 'He has written a marvellous tale of how, throughout much of recorded history, geometrical thinking and civilisation have been closely intertwined. ...Definitely a book to dip into and reflect on a superior form of brainfood for the beach this summer perhaps?
Heilbron's enthusiasm is contagious.' Ian Stewart, New Scientist 'The book is wonderfully illustrated. There are diagrams on almost every page, apt illustrations from older books, and well chosen photographs, together with eight colour plates. The appearance of the book is quite seductive, for
which Oxford University Press should be congratulated.' Jeremy Gray, Nature 'This is a handsome book, well researched and entertainingly written. It shows how powerfully a historically informed account can communicate. If you thought Euclidean geometry was something only your great-grandparents did - try it, you will be surprised.' BJune Barrow-Green, The TIMES Higher Education Supplement
... a textbook on elementary geometry. But perhaps it is attractive also for professionals because of many historical remarks, some nice illustrations, and a lot of unusual problems and applications.
Tartalomjegyzék:
Preface
An old story
Euclid and his modern rivals
Geometry in and as culture
No royal road
From points to proof
Necessary ingredients
The size of the Earth
The point of proof
Exercises
Tricks with triangles
Bridge of asses
Practice
Similarity
Deception
Exercises
Many cheerful facts about the square of the hypoteneuse
The Theorem of Pythagoras
The Chinese Pythagoras
More trigonometry
Exercises
Addendum: Programming in Windows
Bibliography
Appendix A: standard.h
Appendix B: restring.h
Appendix C: rational.h
Appendix D: random.h
Appendix E: vecmat.h
Appendix F: stdgraph.h
Appendix G: list.h
Appendix H: screen.h
