Treatise of Plane Geometry Through Geometric Algebra
| Author | : Ramón González Calvet |
| Publisher | : Treatise of Plane Geometry |
| Total Pages | : 43 |
| Release | : 2007 |
| Genre | : Geometry, Algebraic |
| ISBN | : 8461191498 |
Treatise Of Plane Geometry Through Geometric Algebra
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A Treatise on Algebraic Plane Curves
| Author | : Julian Lowell Coolidge |
| Publisher | : Courier Corporation |
| Total Pages | : 554 |
| Release | : 2004-01-01 |
| Genre | : Mathematics |
| ISBN | : 9780486495767 |
A thorough introduction to the theory of algebraic plane curves and their relations to various fields of geometry and analysis. Almost entirely confined to the properties of the general curve, and chiefly employs algebraic procedure. Geometric methods are much employed, however, especially those involving the projective geometry of hyperspace. 1931 edition. 17 illustrations.
Classical Algebraic Geometry
| Author | : Igor V. Dolgachev |
| Publisher | : Cambridge University Press |
| Total Pages | : 653 |
| Release | : 2012-08-16 |
| Genre | : Mathematics |
| ISBN | : 1139560786 |
Algebraic geometry has benefited enormously from the powerful general machinery developed in the latter half of the twentieth century. The cost has been that much of the research of previous generations is in a language unintelligible to modern workers, in particular, the rich legacy of classical algebraic geometry, such as plane algebraic curves of low degree, special algebraic surfaces, theta functions, Cremona transformations, the theory of apolarity and the geometry of lines in projective spaces. The author's contemporary approach makes this legacy accessible to modern algebraic geometers and to others who are interested in applying classical results. The vast bibliography of over 600 references is complemented by an array of exercises that extend or exemplify results given in the book.
New Foundations in Mathematics
| Author | : Garret Sobczyk |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 373 |
| Release | : 2012-10-26 |
| Genre | : Mathematics |
| ISBN | : 0817683852 |
The first book of its kind, New Foundations in Mathematics: The Geometric Concept of Number uses geometric algebra to present an innovative approach to elementary and advanced mathematics. Geometric algebra offers a simple and robust means of expressing a wide range of ideas in mathematics, physics, and engineering. In particular, geometric algebra extends the real number system to include the concept of direction, which underpins much of modern mathematics and physics. Much of the material presented has been developed from undergraduate courses taught by the author over the years in linear algebra, theory of numbers, advanced calculus and vector calculus, numerical analysis, modern abstract algebra, and differential geometry. The principal aim of this book is to present these ideas in a freshly coherent and accessible manner. New Foundations in Mathematics will be of interest to undergraduate and graduate students of mathematics and physics who are looking for a unified treatment of many important geometric ideas arising in these subjects at all levels. The material can also serve as a supplemental textbook in some or all of the areas mentioned above and as a reference book for professionals who apply mathematics to engineering and computational areas of mathematics and physics.
Treatise on Conic Sections
| Author | : Apollonius (of Perga.) |
| Publisher | : |
| Total Pages | : 444 |
| Release | : 1896 |
| Genre | : Conic sections |
| ISBN | : |
Guide to Geometric Algebra in Practice
| Author | : Leo Dorst |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 458 |
| Release | : 2011-08-28 |
| Genre | : Computers |
| ISBN | : 0857298119 |
This highly practical Guide to Geometric Algebra in Practice reviews algebraic techniques for geometrical problems in computer science and engineering, and the relationships between them. The topics covered range from powerful new theoretical developments, to successful applications, and the development of new software and hardware tools. Topics and features: provides hands-on review exercises throughout the book, together with helpful chapter summaries; presents a concise introductory tutorial to conformal geometric algebra (CGA) in the appendices; examines the application of CGA for the description of rigid body motion, interpolation and tracking, and image processing; reviews the employment of GA in theorem proving and combinatorics; discusses the geometric algebra of lines, lower-dimensional algebras, and other alternatives to 5-dimensional CGA; proposes applications of coordinate-free methods of GA for differential geometry.
A Modern View of Geometry
| Author | : Leonard M. Blumenthal |
| Publisher | : Courier Dover Publications |
| Total Pages | : 209 |
| Release | : 2017-04-19 |
| Genre | : Mathematics |
| ISBN | : 0486821137 |
Elegant exposition of postulation geometry of planes offers rigorous, lucid treatment of coordination of affine and projective planes, set theory, propositional calculus, affine planes with Desargues and Pappus properties, more. 1961 edition.
A Book of Abstract Algebra
| Author | : Charles C Pinter |
| Publisher | : Courier Corporation |
| Total Pages | : 402 |
| Release | : 2010-01-14 |
| Genre | : Mathematics |
| ISBN | : 0486474178 |
Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.
New Foundations for Classical Mechanics
| Author | : D. Hestenes |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 655 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 9400948026 |
This is a textbook on classical mechanics at the intermediate level, but its main purpose is to serve as an introduction to a new mathematical language for physics called geometric algebra. Mechanics is most commonly formulated today in terms of the vector algebra developed by the American physicist J. Willard Gibbs, but for some applications of mechanics the algebra of complex numbers is more efficient than vector algebra, while in other applica tions matrix algebra works better. Geometric algebra integrates all these algebraic systems into a coherent mathematical language which not only retains the advantages of each special algebra but possesses powerful new capabilities. This book covers the fairly standard material for a course on the mechanics of particles and rigid bodies. However, it will be seen that geometric algebra brings new insights into the treatment of nearly every topic and produces simplifications that move the subject quickly to advanced levels. That has made it possible in this book to carry the treatment of two major topics in mechanics well beyond the level of other textbooks. A few words are in order about the unique treatment of these two topics, namely, rotational dynamics and celestial mechanics.
Advanced Euclidean Geometry
| Author | : Roger A. Johnson |
| Publisher | : Courier Corporation |
| Total Pages | : 338 |
| Release | : 2013-01-08 |
| Genre | : Mathematics |
| ISBN | : 048615498X |
This classic text explores the geometry of the triangle and the circle, concentrating on extensions of Euclidean theory, and examining in detail many relatively recent theorems. 1929 edition.
