Geometry

Our Cultural Heritage

Author: Audun Holme

Publisher: Springer Science & Business Media

ISBN: 9783642144417

Category: Mathematics

Page: 519

View: 5800

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This is a revised edition of the ?rst printing which appeared in 2002. The book is based on lectures at the University of Bergen, Norway.Over the years these lectures have covered many different aspects and facets of the wonderful ?eld of geometry. Consequently it has never been possible to give a full and ?nal account of geometry as such, at an undergraduatelevel: A carefully consideredselection has always been necessary. The present book constitutes the main central themes of these selections. One of the groups I am aiming at, is future teachers of mathematics. All too oftenthe textsdealingwith geometrywhichgo intothe syllabusforteacher-students present the material in ways which appear pedantic and formalistic, suppressing the very powerful and dynamic character of this old ?eld, which at the same time so young. Geometry is a ?eld of mathematical insight, research, history and source of artistic inspiration. And not least important, an integral part of our common cultural heritage.
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A Royal Road to Algebraic Geometry

Author: Audun Holme

Publisher: Springer Science & Business Media

ISBN: 9783642192258

Category: Mathematics

Page: 366

View: 1899

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This book is about modern algebraic geometry. The title A Royal Road to Algebraic Geometry is inspired by the famous anecdote about the king asking Euclid if there really existed no simpler way for learning geometry, than to read all of his work Elements. Euclid is said to have answered: “There is no royal road to geometry!” The book starts by explaining this enigmatic answer, the aim of the book being to argue that indeed, in some sense there is a royal road to algebraic geometry. From a point of departure in algebraic curves, the exposition moves on to the present shape of the field, culminating with Alexander Grothendieck’s theory of schemes. Contemporary homological tools are explained. The reader will follow a directed path leading up to the main elements of modern algebraic geometry. When the road is completed, the reader is empowered to start navigating in this immense field, and to open up the door to a wonderful field of research. The greatest scientific experience of a lifetime!
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Geometry for Computer Graphics

Formulae, Examples and Proofs

Author: John Vince

Publisher: Springer Science & Business Media

ISBN: 9781846281167

Category: Computers

Page: 342

View: 4699

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A complete overview of the geometry associated with computer graphics that provides everything a reader needs to understand the topic. Includes a summary hundreds of formulae used to solve 2D and 3D geometric problems; worked examples; proofs; mathematical strategies for solving geometric problems; a glossary of terms used in geometry.
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The Foundations of Geometry

Author: Gerard Venema

Publisher: Prentice Hall

ISBN: 9780131437005

Category: Mathematics

Page: 432

View: 7362

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This text comfortably serves as a bridge between lower-level mathematics courses (calculus and linear algebra) and upper-level courses (real analysis and abstract algebra). It fully implements the latest national standards and recommendations regarding geometry for the preparation of high school mathematics teachers. Foundations of Geometry particularly teaches good proof-writing skills, emphasises the historical development of geometry, and addresses certain issues concerning the place of geometry in human culture.
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The World Book Encyclopedia

Author: N.A

Publisher: N.A

ISBN: 9780716601074

Category: Encyclopedias and dictionaries

Page: N.A

View: 2021

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An encyclopedia designed especially to meet the needs of elementary, junior high, and senior high school students.
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MAA notes

Author: Mathematical Association of America. Committee on the Undergraduate Program in Mathematics

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 6633

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