Del 88 - Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts

Revolutions of Geometry, Solutions Manual to Accompany Revolutions in Geometry

Häftad, Engelska, 2010

AvMichael L. O'Leary,Michael L. (College of DuPage) O'Leary,Michael L O'Leary

619 kr

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Based on the premise that in order to write proofs, one needs to read finished proofs as well as study both their logic and grammar, Revolutions in Geometry depicts how to write basic proofs in various fields of geometry. This accessible text for junior and senior undergraduates explains the general development of geometry throughout time, discusses the involvement of its major contributors, and places the proofs into the context of geometry's history to illustrate how crucial proof writing is to the job of a mathematician.

Produktinformation

Utgivningsdatum2010-09-21
Mått158 x 235 x 12 mm
Vikt281 g
FormatHäftad
SpråkEngelska
SeriePure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts
Antal sidor160
FörlagJohn Wiley & Sons Inc
ISBN9780470167564

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Preface.Acknowledgments.PART I FOUNDATIONS.1 The First Geometers.2 Thales.3 Plato and Aristotle.PART II THE GOLDEN AGE.4 Pythagoras.5 Euclid.6 Archimedes.PART III ENLIGHTENMENT.7 François Viète.8 René Descartes.9 Gérard Desargues.PART IV A STRANGE NEW WORLD.10 Giovanni Saccheri.11 Johann Lambert.12 Nicolai Lobachevski and János Bolyai.PART V NEW DIRECTIONS.13 Bernhard Riemann.14 Jean-Victor Poncelet.15 Felix Klein.References.Index.

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