The Analytical Geometry of the Conic Sections
Author | : Edward Harrison Askwith |
Publisher | : |
Total Pages | : 470 |
Release | : 1908 |
Genre | : Conic sections |
ISBN | : |
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Author | : Edward Harrison Askwith |
Publisher | : |
Total Pages | : 470 |
Release | : 1908 |
Genre | : Conic sections |
ISBN | : |
Author | : Arseny V. Akopyan |
Publisher | : American Mathematical Soc. |
Total Pages | : 148 |
Release | : |
Genre | : Mathematics |
ISBN | : 9780821884324 |
"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.
Author | : Barry Spain |
Publisher | : Courier Corporation |
Total Pages | : 164 |
Release | : 2007-01-01 |
Genre | : Mathematics |
ISBN | : 0486457737 |
This concise text introduces students to analytical geometry, covering basic ideas and methods. Readily intelligible to any student with a sound mathematical background, it is designed both for undergraduates and for math majors. It will prove particularly valuable in preparing readers for more advanced treatments. The text begins with an overview of the analytical geometry of the straight line, circle, and the conics in their standard forms. It proceeds to discussions of translations and rotations of axes, and of the general equation of the second degree. The concept of the line at infinity is introduced, and the main properties of conics and pencils of conics are derived from the general equation. The fundamentals of cross-ratio, homographic correspondence, and line-coordinates are explored, including applications of the latter to focal properties. The final chapter provides a compact account of generalized homogeneous coordinates, and a helpful appendix presents solutions to many of the examples.
Author | : Keith Kendig |
Publisher | : American Mathematical Soc. |
Total Pages | : 403 |
Release | : 2020-07-29 |
Genre | : Mathematics |
ISBN | : 1470456834 |
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.
Author | : J. W. Downs |
Publisher | : Courier Corporation |
Total Pages | : 116 |
Release | : 2012-10-16 |
Genre | : Mathematics |
ISBN | : 0486148882 |
Using examples from everyday life, this text studies ellipses, parabolas, and hyperbolas. Explores their ancient origins and describes the reflective properties and roles of curves in design applications. 1993 edition. Includes 98 figures.
Author | : Horatio Nelson Robinson |
Publisher | : |
Total Pages | : 356 |
Release | : 1862 |
Genre | : Conic sections |
ISBN | : |
Author | : Jay P. Abramson |
Publisher | : |
Total Pages | : 1564 |
Release | : 2015-02-13 |
Genre | : Algebra |
ISBN | : 9781938168376 |
"The text is suitable for a typical introductory algebra course, and was developed to be used flexibly. While the breadth of topics may go beyond what an instructor would cover, the modular approach and the richness of content ensures that the book meets the needs of a variety of programs."--Page 1.
Author | : Giovanni Landi |
Publisher | : Springer |
Total Pages | : 348 |
Release | : 2018-05-12 |
Genre | : Science |
ISBN | : 3319783610 |
A self-contained introduction to finite dimensional vector spaces, matrices, systems of linear equations, spectral analysis on euclidean and hermitian spaces, affine euclidean geometry, quadratic forms and conic sections. The mathematical formalism is motivated and introduced by problems from physics, notably mechanics (including celestial) and electro-magnetism, with more than two hundreds examples and solved exercises.Topics include: The group of orthogonal transformations on euclidean spaces, in particular rotations, with Euler angles and angular velocity. The rigid body with its inertia matrix. The unitary group. Lie algebras and exponential map. The Dirac’s bra-ket formalism. Spectral theory for self-adjoint endomorphisms on euclidean and hermitian spaces. The Minkowski spacetime from special relativity and the Maxwell equations. Conic sections with the use of eccentricity and Keplerian motions. An appendix collects basic algebraic notions like group, ring and field; and complex numbers and integers modulo a prime number.The book will be useful to students taking a physics or engineer degree for a basic education as well as for students who wish to be competent in the subject and who may want to pursue a post-graduate qualification.
Author | : A. C. Burdette |
Publisher | : Academic Press |
Total Pages | : 240 |
Release | : 2014-05-10 |
Genre | : Mathematics |
ISBN | : 1483262413 |
Analytic Geometry covers several fundamental aspects of analytic geometry needed for advanced subjects, including calculus. This book is composed of 12 chapters that review the principles, concepts, and analytic proofs of geometric theorems, families of lines, the normal equation of the line, and related matters. Other chapters highlight the application of graphing, foci, directrices, eccentricity, and conic-related topics. The remaining chapters deal with the concept polar and rectangular coordinates, surfaces and curves, and planes. This book will prove useful to undergraduate trigonometric students.
Author | : Sidney Luxton Loney |
Publisher | : |
Total Pages | : 454 |
Release | : 1920 |
Genre | : Geometry, Analytic |
ISBN | : |