# Modern Geometry With Applications

## Jennings, George A.

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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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Contenuti:

1 Euclidean Geometry.- 1.1 Euclidean Space.- 1.2 Isometries and Congruence.- 1.3 Reflections in the Plane.- 1.4 Reflections in Space.- 1.5 Translations.- 1.6 Rotations.- 1.7 Applications and Examples.- 1.8 Some Key Results of High School Geometry: The Parallel Postulate, Angles of a Triangle, Similar Triangles, and the Pythagorean Theorem.- 1.9 SSS, ASA, and SAS.- 1.10 The General Isometry.- 1.11 Appendix: The Planimeter.- 2 Spherical Geometry.- 2.1 Geodesics.- 2.2 Geodesics on Spheres.- 2.3 The Six Angles of a Spherical Triangle.- 2.4 The Law of Cosines for Sides.- 2.5 The Dual Spherical Triangle.- 2.6 The Law of Cosines for Angles.- 2.7 The Law of Sines for Spherical Triangles.- 2.8 Navigation Problems.- 2.9 Mapmaking.- 2.10 Applications of Stereographic Projection.- 3 Conics.- 3.1 Conic Sections.- 3.2 Foci of Ellipses and Hyperbolas.- 3.3 Eccentricity and Directrix; the Focus of a Parabola.- 3.4 Tangent Lines.- 3.5 Focusing Properties of Conics.- 3.6 Review Exercises: Standard Equations for Smooth Conics.- 3.7 LORAN Navigation.- 3.8 Kepler’s Laws of Planetary Motion.- 3.9 Appendix: Reduction of a Quadratic Equation to Standard Form.- 4 Projective Geometry.- 4.1 Perspective Drawing.- 4.2 Projective Space.- 4.3 Desargues’ Theorem.- 4.4 Cross Ratios.- 4.5 Projections in Coordinates.- 4.6 Homogeneous Coordinates and Duality.- 4.7 Homogeneous Polynomials, Algebraic Curves.- 4.8 Tangents.- 4.9 Dual Curves.- 4.10 Pascal’s and Brianchon’s Theorems.- 5 Special Relativity.- 5.1 Spacetime.- 5.2 Galilean Transformations.- 5.3 The Failure of the Galilean Transformations.- 5.4 Lorentz Transformations.- 5.5 Relativistic Addition of Velocities.- 5.6 Lorentz-FitzGerald Contractions1.- 5.7 Minkowski Geometry.- 5.8 The Slowest Path is a Line.- 5.9 Hyperbolic Angles and the Velocity Addition Formula.- 5.10 Appendix: Circular and Hyperbolic Functions.- References.

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## 1.Modern Geometry with Applications

Editore: Springer-Verlag New York Inc. 1997-06-12, New York, NY (1997)
ISBN 10: 038794222X ISBN 13: 9780387942223
Nuovi paperback Quantità: 10
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Descrizione libro Springer-Verlag New York Inc. 1997-06-12, New York, NY, 1997. paperback. Condizione libro: New. Codice libro della libreria 9780387942223

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## 2.Modern Geometry with Applications (Paperback)

Editore: Springer-Verlag New York Inc., United States (1997)
ISBN 10: 038794222X ISBN 13: 9780387942223
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Descrizione libro Springer-Verlag New York Inc., United States, 1997. Paperback. Condizione libro: New. 1st ed. 1994. Corr. 3rd printing 1997. 230 x 154 mm. Language: English . Brand New Book. 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. Codice libro della libreria AAU9780387942223

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## 3.Modern Geometry with Applications (Paperback)

Editore: Springer-Verlag New York Inc., United States (1997)
ISBN 10: 038794222X ISBN 13: 9780387942223
Nuovi Paperback Quantità: 1
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Valutazione libreria

Descrizione libro Springer-Verlag New York Inc., United States, 1997. Paperback. Condizione libro: New. 1st ed. 1994. Corr. 3rd printing 1997. 230 x 154 mm. Language: English . Brand New Book. 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. Codice libro della libreria AAU9780387942223

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## 4.Modern Geometry with Applications (Universitext)

Editore: Springer (1994)
ISBN 10: 038794222X ISBN 13: 9780387942223
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Descrizione libro Springer, 1994. Paperback. Condizione libro: New. This item is printed on demand. Codice libro della libreria DADAX038794222X

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## 5.Modern Geometry with Applications (1st ed. 1994. Corr. 3rd printing 1997)

Editore: Springer-Verlag New York Inc.
ISBN 10: 038794222X ISBN 13: 9780387942223
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Descrizione libro Springer-Verlag New York Inc. Paperback. Condizione libro: new. BRAND NEW, Modern Geometry with Applications (1st ed. 1994. Corr. 3rd printing 1997), G. Jennings, 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. Codice libro della libreria B9780387942223

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## 6.Modern Geometry with Applications

Editore: Springer-Verlag New York Inc. (1994)
ISBN 10: 038794222X ISBN 13: 9780387942223
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Descrizione libro Springer-Verlag New York Inc., 1994. Condizione libro: New. Presents an introduction to the theory and applications of modern geometry. Besides Special Relativity, this book covers two other areas of non-Euclidean geometry: spherical geometry (used in navigation and astronomy) and projective geometry (used in art). It also reviews many topics from Euclidean geometry, emphasizing transformations. Series: Universitext. Num Pages: 212 pages, 150 black & white illustrations, biography. BIC Classification: PBM; PBP. Category: (UF) Further/Higher Education; (UU) Undergraduate. Dimension: 219 x 101 x 11. Weight in Grams: 304. . 1994. 1st ed. 1994. Corr. 3rd printing 1997. Paperback. . . . . . Codice libro della libreria V9780387942223

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## 7.Modern Geometry with Applications (Universitext)

Editore: Springer (2008)
ISBN 10: 038794222X ISBN 13: 9780387942223
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Descrizione libro Springer, 2008. Condizione libro: New. book. Codice libro della libreria ria9780387942223_rkm

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## 8.Modern Geometry with Applications

Editore: Springer 1997-07 (1997)
ISBN 10: 038794222X ISBN 13: 9780387942223
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Descrizione libro Springer 1997-07, 1997. Condizione libro: New. This item is printed on demand. Brand new book, sourced directly from publisher. Dispatch time is 24-48 hours from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Codice libro della libreria NU-LSI-06919351

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## 9.Modern Geometry with Applications (Universitext)

Editore: Springer (2008)
ISBN 10: 038794222X ISBN 13: 9780387942223
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Descrizione libro Springer, 2008. Paperback. Condizione libro: New. book. Codice libro della libreria 038794222X

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## 10.Modern Geometry with Applications

Editore: Springer-Verlag New York Inc.
ISBN 10: 038794222X ISBN 13: 9780387942223
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Descrizione libro Springer-Verlag New York Inc. Condizione libro: New. Presents an introduction to the theory and applications of modern geometry. Besides Special Relativity, this book covers two other areas of non-Euclidean geometry: spherical geometry (used in navigation and astronomy) and projective geometry (used in art). It also reviews many topics from Euclidean geometry, emphasizing transformations. Series: Universitext. Num Pages: 212 pages, 150 black & white illustrations, biography. BIC Classification: PBM; PBP. Category: (UF) Further/Higher Education; (UU) Undergraduate. Dimension: 219 x 101 x 11. Weight in Grams: 304. . 1994. 1st ed. 1994. Corr. 3rd printing 1997. Paperback. . . . . Books ship from the US and Ireland. Codice libro della libreria V9780387942223

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