The Universe of Conics

The Universe of Conics

Author: Georg Glaeser

Publisher: Springer

Published: 2016-03-22

Total Pages: 488

ISBN-13: 3662454505

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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.


Book Synopsis The Universe of Conics by : Georg Glaeser

Download or read book The Universe of Conics written by Georg Glaeser and published by Springer. This book was released on 2016-03-22 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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.


Book Synopsis The Universe of Quadrics by : Boris Odehnal

Download or read book The Universe of Quadrics written by Boris Odehnal and published by Springer. This book was released on 2020-04-29 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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.


Book Synopsis Conics by : Keith Kendig

Download or read book Conics written by Keith Kendig and published by American Mathematical Soc.. This book was released on 2020-07-29 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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.


Book Synopsis Geometri?eskie svojstva krivyh vtorogo porâdka by : Arseny V. Akopyan

Download or read book Geometri?eskie svojstva krivyh vtorogo porâdka written by Arseny V. Akopyan and published by American Mathematical Soc.. This book was released on with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.

Treatise on Conic Sections

Treatise on Conic Sections

Author: Apollonius (of Perga.)

Publisher:

Published: 1896

Total Pages: 444

ISBN-13:

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Book Synopsis Treatise on Conic Sections by : Apollonius (of Perga.)

Download or read book Treatise on Conic Sections written by Apollonius (of Perga.) and published by . This book was released on 1896 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Universe of Quadrics

The Universe of Quadrics

Author: Boris Odehnal

Publisher: Springer Nature

Published: 2020-04-21

Total Pages: 606

ISBN-13: 3662610531

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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.


Book Synopsis The Universe of Quadrics by : Boris Odehnal

Download or read book The Universe of Quadrics written by Boris Odehnal and published by Springer Nature. This book was released on 2020-04-21 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Modern Geometry with Applications

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.


Book Synopsis Modern Geometry with Applications by : George A. Jennings

Download or read book Modern Geometry with Applications written by George A. Jennings and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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.


Book Synopsis The Stanford Mathematics Problem Book by : George Polya

Download or read book The Stanford Mathematics Problem Book written by George Polya and published by Courier Corporation. This book was released on 2013-04-09 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Shape of Inner Space

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.


Book Synopsis The Shape of Inner Space by : Shing-Tung Yau

Download or read book The Shape of Inner Space written by Shing-Tung Yau and published by Il Saggiatore. This book was released on 2010-09-07 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: The leading mind behind the mathematics of string theory discusses how geometry explains the universe we see. Illustrations.

Geometry

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.


Book Synopsis Geometry by : John Tabak

Download or read book Geometry written by John Tabak and published by Infobase Publishing. This book was released on 2014-05-14 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Greek ideas about geometry, straight-edge and compass constructions, and the nature of mathematical proof dominated mathematical thought for about 2,000 years.