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Author: Jay Kappraff Publisher: World Scientific Publishing Company ISBN: 9814556726 Category : Mathematics Languages : en Pages : 272
Book Description
This book aims to make the subject of geometry and its applications easy and comfortable to understand by students majoring in mathematics or the liberal arts, architecture and design. It can be used to teach students at different levels of computational ability and there is also sufficient novel material to interest students at a higher cognitive level. While the book goes deeply into the applications of geometry, it contains much introductory material which up to now may not have been known to the student. The constructive approach using compass and straightedge engages students, not just on an intellectual level, but also at a tactile level. This may be the only rigorous book offering geometry that attempts to engage students outside of the mathematics discipline.
Author: Jay Kappraff Publisher: World Scientific Publishing Company ISBN: 9814556726 Category : Mathematics Languages : en Pages : 272
Book Description
This book aims to make the subject of geometry and its applications easy and comfortable to understand by students majoring in mathematics or the liberal arts, architecture and design. It can be used to teach students at different levels of computational ability and there is also sufficient novel material to interest students at a higher cognitive level. While the book goes deeply into the applications of geometry, it contains much introductory material which up to now may not have been known to the student. The constructive approach using compass and straightedge engages students, not just on an intellectual level, but also at a tactile level. This may be the only rigorous book offering geometry that attempts to engage students outside of the mathematics discipline.
Author: B. A. Dubrovin Publisher: Springer Science & Business Media ISBN: 0387972714 Category : Geometry Languages : en Pages : 432
Book Description
Part II. The geometry and topology of manifolds. This is the second volume of a three-volume introduction to modern geometry, with emphasis on applications to other areas of mathematics and theoretical physics. Topics covered include homotopy groups, fibre bundles, dynamical systems, and foliations. The exposition is simple and concrete, and in a terminology palatable to physicists.
Author: George A. Jennings Publisher: Springer Science & Business Media ISBN: 038794222X Category : Mathematics Languages : en Pages : 202
Book Description
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.
Author: James R. Smart Publisher: Cengage Learning ISBN: Category : Mathematics Languages : en Pages : 488
Book Description
This comprehensive, best-selling text focuses on the study of many different geometries -- rather than a single geometry -- and is thoroughly modern in its approach. Each chapter is essentially a short course on one aspect of modern geometry, including finite geometries, the geometry of transformations, convexity, advanced Euclidian geometry, inversion, projective geometry, geometric aspects of topology, and non-Euclidean geometries. This edition reflects the recommendations of the COMAP proceedings on Geometry's Future, the NCTM standards, and the Professional Standards for Teaching Mathematics. References to a new companion text, Active Geometry by David A. Thomas encourage students to explore the geometry of motion through the use of computer software. Using Active Geometry at the beginning of various sections allows professors to give students a somewhat more intuitive introduction using current technology before moving on to more abstract concepts and theorems.
Author: Saul Stahl Publisher: Jones & Bartlett Learning ISBN: 9780867202984 Category : Geometry, Non-Euclidean Languages : en Pages : 320
Book Description
The Poincare Half-Planeprovides an elementary and constructive development of this geometry that brings the undergraduate major closer to current geometric research. At the same time, repeated use is made of high school geometry, algebra, trigonometry, and calculus, thus reinforcing the students' understanding of these disciplines as well as enhancing their perception of mathematics as a unified endeavor.
Author: Jay Kappraff Publisher: World Scientific ISBN: 9811219729 Category : Design Languages : en Pages : 368
Book Description
This book is meant to serve either as a textbook for an interdisciplinary course in Mathematics of Design, or as a trade book for designers. It will also be of interest for people interested in recreational mathematics showing the connection between mathematics and design. Topics from the book can also be adapted for use in pre-college mathematics. Each chapter will provide the user with ideas that can be incorporated in a design. Background materials will be provided to show the reader the mathematical principles that lie behind the designs.
Author: Louis Locher-Ernst Publisher: Awsna ISBN: 9781888365368 Category : Nature Languages : en Pages : 280
Book Description
This classic examination of projective geometry will be a great aid to Waldorf teachers and others who wish to penetrate the way of thinking behind this important area of geometry.
Author: Jay Kappraff
Author: Jay Kappraff
Author: B. A. Dubrovin
Author: George A. Jennings
Author: James R. Smart
Author: Saul Stahl
Author: 
Author: B. A. Dubrovin
Author: Jay Kappraff
Author: Clement Vavasor Durell
Author: Louis Locher-Ernst