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Author : Walter Prenowitz
Publisher :
ISBN 13 :
Total Pages : 84 pages
Book Rating : 4.3/5 (97 download)
Download or read book A Contemporary Approach to Classical Geometry written by Walter Prenowitz and published by . This book was released on 1961 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (141 download)
Download or read book A Contemporary Approach to Classical Geometry written by and published by . This book was released on 1961 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Arthur Baragar
Publisher : Pearson
ISBN 13 :
Total Pages : 392 pages
Book Rating : 4.:/5 (321 download)
Download or read book A Survey of Classical and Modern Geometries written by Arthur Baragar and published by Pearson. This book was released on 2001 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book emphasizes the beauty of geometry using a modern approach. Models & computer exercises help readers to cultivate geometric intuition. Topics include Euclidean Geometry, Hand Constructions, Geometer's Sketch Pad, Hyperbolic Geometry, Tilings & Lattices, Spherical Geometry, Projective Geometry, Finite Geometry, and Modern Geometry Research. Ideal for geometry at an intermediate level.
Author : Igor V. Dolgachev
Publisher : Cambridge University Press
ISBN 13 : 1139560786
Total Pages : 653 pages
Book Rating : 4.1/5 (395 download)
Download or read book Classical Algebraic Geometry written by Igor V. Dolgachev and published by Cambridge University Press. This book was released on 2012-08-16 with total page 653 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Jorge V. José
Publisher : Cambridge University Press
ISBN 13 : 9780521636360
Total Pages : 702 pages
Book Rating : 4.6/5 (363 download)
Download or read book Classical Dynamics written by Jorge V. José and published by Cambridge University Press. This book was released on 1998-08-13 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive graduate-level textbook on classical dynamics with many worked examples and over 200 homework exercises, first published in 1998.
Author : I. E. Leonard
Publisher : John Wiley & Sons
ISBN 13 : 1118679199
Total Pages : 501 pages
Book Rating : 4.1/5 (186 download)
Download or read book Classical Geometry written by I. E. Leonard and published by John Wiley & Sons. This book was released on 2014-04-14 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: Features the classical themes of geometry with plentiful applications in mathematics, education, engineering, and science Accessible and reader-friendly, Classical Geometry: Euclidean, Transformational, Inversive, and Projective introduces readers to a valuable discipline that is crucial to understanding bothspatial relationships and logical reasoning. Focusing on the development of geometric intuitionwhile avoiding the axiomatic method, a problem solving approach is encouraged throughout. The book is strategically divided into three sections: Part One focuses on Euclidean geometry, which provides the foundation for the rest of the material covered throughout; Part Two discusses Euclidean transformations of the plane, as well as groups and their use in studying transformations; and Part Three covers inversive and projective geometry as natural extensions of Euclidean geometry. In addition to featuring real-world applications throughout, Classical Geometry: Euclidean, Transformational, Inversive, and Projective includes: Multiple entertaining and elegant geometry problems at the end of each section for every level of study Fully worked examples with exercises to facilitate comprehension and retention Unique topical coverage, such as the theorems of Ceva and Menalaus and their applications An approach that prepares readers for the art of logical reasoning, modeling, and proofs The book is an excellent textbook for courses in introductory geometry, elementary geometry, modern geometry, and history of mathematics at the undergraduate level for mathematics majors, as well as for engineering and secondary education majors. The book is also ideal for anyone who would like to learn the various applications of elementary geometry.
Author : Patrick J. Ryan
Publisher : Cambridge University Press
ISBN 13 : 0521127076
Total Pages : 237 pages
Book Rating : 4.5/5 (211 download)
Download or read book Euclidean and Non-Euclidean Geometry International Student Edition written by Patrick J. Ryan and published by Cambridge University Press. This book was released on 2009-09-04 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a rigorous treatment of the fundamentals of plane geometry: Euclidean, spherical, elliptical and hyperbolic.
Author : Walter Benz
Publisher : Springer Science & Business Media
ISBN 13 : 3764385413
Total Pages : 286 pages
Book Rating : 4.7/5 (643 download)
Download or read book Classical Geometries in Modern Contexts written by Walter Benz and published by Springer Science & Business Media. This book was released on 2007-12-15 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on real inner product spaces X of arbitrary (finite or infinite) dimension greater than or equal to 2. Designed as a two term graduate course, the book helps students to understand great ideas of classical geometries in a modern and general context. A real benefit is the dimension-free approach to important geometrical theories. The only prerequisites are basic linear algebra and basic 2- and 3-dimensional real geometry.
Author : Steve Pomerantz
Publisher : Xlibris Corporation
ISBN 13 : 1796083461
Total Pages : 238 pages
Book Rating : 4.7/5 (96 download)
Download or read book Classical Geometry written by Steve Pomerantz and published by Xlibris Corporation. This book was released on 2020-01-30 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sacred geometry is at the heart of a thousand years of art and architecture as represented in mosques, temples and churches around the world. Stunning in their search of perfection amid countless symmetries the art achieves a beauty inspired by its divine motivations. On a more practical side, sacred art represents an excellent application of the principles of geometry as illustrated by Euclid in the Elements. Countless constructions and theorems first discovered by the ancient Greek mathematicians are carefully merged with craftsmanship to produce murals, paintings and mosaics of infinite variety. This book grew out of a set of workshops done primarily through the Monterey Bay Area Math Project over the last several years. The book begins with a discussion of compass-straightedge constructions of polygons and the variety of regular and semi-regular tilings. The Polygon-in-Contact method as initially documented in the Topkapi Scrolls and further developed by contemporary scholars and artists is introduced as a method of generating traditional Islamic Geometric patterns. Many examples are illustrated with varying degrees of complexity suitable for all age groups. In addition to developing traditional patterns, the methods shown illustrate areas of generalization constrained only by students imagination.
Author : Ana Irene Ramírez Galarza
Publisher : Springer Science & Business Media
ISBN 13 : 3764375183
Total Pages : 225 pages
Book Rating : 4.7/5 (643 download)
Download or read book Introduction to Classical Geometries written by Ana Irene Ramírez Galarza and published by Springer Science & Business Media. This book was released on 2007-05-02 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops the geometric intuition of the reader by examining the symmetries (or rigid motions) of the space in question. This approach introduces in turn all the classical geometries: Euclidean, affine, elliptic, projective and hyperbolic. The main focus is on the mathematically rich two-dimensional case, although some aspects of 3- or $n$-dimensional geometries are included. Basic notions of algebra and analysis are used to convey better understanding of various concepts and results. Concepts of geometry are presented in a very simple way, so that they become easily accessible: the only pre-requisites are calculus, linear algebra and basic analytic geometry.
Author : John Stillwell
Publisher : Springer Science & Business Media
ISBN 13 : 0387255303
Total Pages : 240 pages
Book Rating : 4.3/5 (872 download)
Download or read book The Four Pillars of Geometry written by John Stillwell and published by Springer Science & Business Media. This book was released on 2005-08-09 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is unique in that it looks at geometry from 4 different viewpoints - Euclid-style axioms, linear algebra, projective geometry, and groups and their invariants Approach makes the subject accessible to readers of all mathematical tastes, from the visual to the algebraic Abundantly supplemented with figures and exercises
Author : Robin Hartshorne
Publisher : Springer Science & Business Media
ISBN 13 : 0387226761
Total Pages : 535 pages
Book Rating : 4.3/5 (872 download)
Download or read book Geometry: Euclid and Beyond written by Robin Hartshorne and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a unique opportunity to understand the essence of one of the great thinkers of western civilization. A guided reading of Euclid's Elements leads to a critical discussion and rigorous modern treatment of Euclid's geometry and its more recent descendants, with complete proofs. Topics include the introduction of coordinates, the theory of area, history of the parallel postulate, the various non-Euclidean geometries, and the regular and semi-regular polyhedra.
Author : Walter Benz
Publisher : Springer Science & Business Media
ISBN 13 : 3034804202
Total Pages : 325 pages
Book Rating : 4.0/5 (348 download)
Download or read book Classical Geometries in Modern Contexts written by Walter Benz and published by Springer Science & Business Media. This book was released on 2012-08-13 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: The focus of this book and its geometric notions is on real vector spaces X that are finite or infinite inner product spaces of arbitrary dimension greater than or equal to 2. It characterizes both euclidean and hyperbolic geometry with respect to natural properties of (general) translations and general distances of X. Also for these spaces X, it studies the sphere geometries of Möbius and Lie as well as geometries where Lorentz transformations play the key role. Proofs of newer theorems characterizing isometries and Lorentz transformations under mild hypotheses are included, such as for instance infinite dimensional versions of famous theorems of A.D. Alexandrov on Lorentz transformations. A real benefit is the dimension-free approach to important geometrical theories. New to this third edition is a chapter dealing with a simple and great idea of Leibniz that allows us to characterize, for these same spaces X, hyperplanes of euclidean, hyperbolic geometry, or spherical geometry, the geometries of Lorentz-Minkowski and de Sitter, and this through finite or infinite dimensions greater than 1. Another new and fundamental result in this edition concerns the representation of hyperbolic motions, their form and their transformations. Further we show that the geometry (P,G) of segments based on X is isomorphic to the hyperbolic geometry over X. Here P collects all x in X of norm less than one, G is defined to be the group of bijections of P transforming segments of P onto segments. The only prerequisites for reading this book are basic linear algebra and basic 2- and 3-dimensional real geometry. This implies that mathematicians who have not so far been especially interested in geometry could study and understand some of the great ideas of classical geometries in modern and general contexts.
Author : Roger A. Johnson
Publisher : Courier Corporation
ISBN 13 : 048615498X
Total Pages : 338 pages
Book Rating : 4.4/5 (861 download)
Download or read book Advanced Euclidean Geometry written by Roger A. Johnson and published by Courier Corporation. This book was released on 2013-01-08 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author :
Publisher :
ISBN 13 :
Total Pages : 308 pages
Book Rating : 4.:/5 (221 download)
Download or read book Geometry written by and published by . This book was released on 1965 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Marcel Berger
Publisher : Springer Science & Business Media
ISBN 13 : 3540709975
Total Pages : 840 pages
Book Rating : 4.5/5 (47 download)
Download or read book Geometry Revealed written by Marcel Berger and published by Springer Science & Business Media. This book was released on 2010-07-23 with total page 840 pages. Available in PDF, EPUB and Kindle. Book excerpt: Both classical geometry and modern differential geometry have been active subjects of research throughout the 20th century and lie at the heart of many recent advances in mathematics and physics. The underlying motivating concept for the present book is that it offers readers the elements of a modern geometric culture by means of a whole series of visually appealing unsolved (or recently solved) problems that require the creation of concepts and tools of varying abstraction. Starting with such natural, classical objects as lines, planes, circles, spheres, polygons, polyhedra, curves, surfaces, convex sets, etc., crucial ideas and above all abstract concepts needed for attaining the results are elucidated. These are conceptual notions, each built "above" the preceding and permitting an increase in abstraction, represented metaphorically by Jacob's ladder with its rungs: the 'ladder' in the Old Testament, that angels ascended and descended... In all this, the aim of the book is to demonstrate to readers the unceasingly renewed spirit of geometry and that even so-called "elementary" geometry is very much alive and at the very heart of the work of numerous contemporary mathematicians. It is also shown that there are innumerable paths yet to be explored and concepts to be created. The book is visually rich and inviting, so that readers may open it at random places and find much pleasure throughout according their own intuitions and inclinations. Marcel Berger is t he author of numerous successful books on geometry, this book once again is addressed to all students and teachers of mathematics with an affinity for geometry.
Author : Francis Borceux
Publisher : Springer Science & Business Media
ISBN 13 : 3319017365
Total Pages : 462 pages
Book Rating : 4.3/5 (19 download)
Download or read book A Differential Approach to Geometry written by Francis Borceux and published by Springer Science & Business Media. This book was released on 2013-11-09 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the classical theory of curves in the plane and three-dimensional space, and the classical theory of surfaces in three-dimensional space. It pays particular attention to the historical development of the theory and the preliminary approaches that support contemporary geometrical notions. It includes a chapter that lists a very wide scope of plane curves and their properties. The book approaches the threshold of algebraic topology, providing an integrated presentation fully accessible to undergraduate-level students. At the end of the 17th century, Newton and Leibniz developed differential calculus, thus making available the very wide range of differentiable functions, not just those constructed from polynomials. During the 18th century, Euler applied these ideas to establish what is still today the classical theory of most general curves and surfaces, largely used in engineering. Enter this fascinating world through amazing theorems and a wide supply of surprising examples. Reach the doors of algebraic topology by discovering just how an integer (= the Euler-Poincaré characteristics) associated with a surface gives you a lot of interesting information on the shape of the surface. And penetrate the intriguing world of Riemannian geometry, the geometry that underlies the theory of relativity. The book is of interest to all those who teach classical differential geometry up to quite an advanced level. The chapter on Riemannian geometry is of great interest to those who have to “intuitively” introduce students to the highly technical nature of this branch of mathematics, in particular when preparing students for courses on relativity.
