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The Universe of Conics

Author: Georg Glaeser

Publisher: Springer

Published: 2016-03-22

Total Pages: 488

ISBN-13: 3662454505

This text presents the classical theory of conics in a modern form. It includes many novel results that are not easily accessible elsewhere. The approach combines synthetic and analytic methods to derive projective, affine and metrical properties, covering both Euclidean and non-Euclidean geometries. With more than two thousand years of history, conic sections play a fundamental role in numerous fields of mathematics and physics, with applications to mechanical engineering, architecture, astronomy, design and computer graphics. This text will be invaluable to undergraduate mathematics students, those in adjacent fields of study, and anyone with an interest in classical geometry. Augmented with more than three hundred fifty figures and photographs, this innovative text will enhance your understanding of projective geometry, linear algebra, mechanics, and differential geometry, with careful exposition and many illustrative exercises.

The Universe of Quadrics

Author: Boris Odehnal

Publisher: Springer

Published: 2020-04-29

Total Pages: 606

ISBN-13: 9783662610527

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The Universe of Quadrics This text presents the theory of quadrics in a modern form. It builds on the previously published book "The Universe of Conics", including many novel results that are not easily accessible elsewhere. As in the conics book, the approach combines synthetic and analytic methods to derive projective, affine, and metrical properties, covering both Euclidean and non-Euclidean geometries. While the history of conics is more than two thousand years old, the theory of quadrics began to develop approximately three hundred years ago. Quadrics play a fundamental role in numerous fields of mathematics and physics, their applications ranging from mechanical engineering, architecture, astronomy, and design to computer graphics. This text will be invaluable to undergraduate and graduate mathematics students, those in adjacent fields of study, and anyone with a deeper interest in geometry. Complemented with about three hundred fifty figures and photographs, this innovative text will enhance your understanding of projective geometry, linear algebra, mechanics, and differential geometry, with careful exposition and many illustrative exercises.

Conics

Author: Keith Kendig

Publisher: American Mathematical Soc.

Published: 2020-07-29

Total Pages: 403

ISBN-13: 1470456834

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This book engages the reader in a journey of discovery through a spirited discussion among three characters: philosopher, teacher, and student. Throughout the book, philosopher pursues his dream of a unified theory of conics, where exceptions are banished. With a helpful teacher and examplehungry student, the trio soon finds that conics reveal much of their beauty when viewed over the complex numbers. It is profusely illustrated with pictures, workedout examples, and a CD containing 36 applets. Conics is written in an easy, conversational style, and many historical tidbits and other points of interest are scattered throughout the text. Many students can selfstudy the book without outside help. This book is ideal for anyone having a little exposure to linear algebra and complex numbers.

Geometri?eskie svojstva krivyh vtorogo porâdka

Author: Arseny V. Akopyan

Publisher: American Mathematical Soc.

Published:

Total Pages: 148

ISBN-13: 9780821884324

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"Geometry Of Conics deals with the properties of conics (plane curves of second degree) that can be formulated and proved using only elementary geometry. Starting with the well-known optical properties of conics, this book moves to less trivial results, both classical and contemporary. It demonstrates the advantage of purely geometric methods of studying conics."--Publisher's website.

The Universe of Quadrics

Author: Boris Odehnal

Publisher: Springer Nature

Published: 2020-04-21

Total Pages: 606

ISBN-13: 3662610531

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Modern Geometry with Applications

Author: George A. Jennings

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 193

ISBN-13: 1461208556

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This introduction to modern geometry differs from other books in the field due to its emphasis on applications and its discussion of special relativity as a major example of a non-Euclidean geometry. Additionally, it covers the two important areas of non-Euclidean geometry, spherical geometry and projective geometry, as well as emphasising transformations, and conics and planetary orbits. Much emphasis is placed on applications throughout the book, which motivate the topics, and many additional applications are given in the exercises. It makes an excellent introduction for those who need to know how geometry is used in addition to its formal theory.

The Stanford Mathematics Problem Book

Author: George Polya

Publisher: Courier Corporation

Published: 2013-04-09

Total Pages: 80

ISBN-13: 048631832X

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Based on Stanford University's well-known competitive exam, this excellent mathematics workbook offers students at both high school and college levels a complete set of problems, hints, and solutions. 1974 edition.

Treatise on Conic Sections

Author: Apollonius (of Perga.)

Publisher:

Published: 1896

Total Pages: 444

ISBN-13:

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The Shape of Inner Space

Author: Shing-Tung Yau

Publisher: Il Saggiatore

Published: 2010-09-07

Total Pages: 398

ISBN-13: 0465020232

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The leading mind behind the mathematics of string theory discusses how geometry explains the universe we see. Illustrations.

Geometry

Author: John Tabak

Publisher: Infobase Publishing

Published: 2014-05-14

Total Pages: 241

ISBN-13: 0816068763

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Greek ideas about geometry, straight-edge and compass constructions, and the nature of mathematical proof dominated mathematical thought for about 2,000 years.