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Author
Language
English
Description
In this book, exercises are carried out regarding the following mathematical topics:
angles, lines and segments
circumference and curves
triangles, quadrilaterals and polygons
Initial theoretical hints are also presented to make the performance of the exercises understood.
Author
Series
Language
English
Description
Elegant and original, this exposition explores the foundations and development of both Euclidean and non-Euclidean geometry, particularly the postulational geometry of planes. Emphasis is placed upon the coordination of affine and projective planes as well as the basic unity of algebra and geometry. Geared toward undergraduate and graduate students, the treatment begins with a brief but engaging sketch of the historical background of Euclidean geometry...
Author
Language
English
Description
The Pythagorean Theorem is one of the fundamental theorems of elementary geometry, and Pythagorean triangles - right triangles whose sides are natural numbers - have been studied by mathematicians since antiquity. In this classic text, a brilliant Polish mathematician explores the intriguing mathematical relationships in such triangles. Starting with "primitive" Pythagorean triangles, the text examines triangles with sides less than 100, triangles...
Author
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English
Description
Egghead's Guide to Geometry will help students improve their understanding of the fundamental concepts of geometry. With the help of Peterson's new character, egghead, students can strengthen their math skills with narrative cartoons and graphics. Along the way there are plenty of study tips and exercises, making this the perfect guide for students struggling to improve their knowledge of geometry for standardized tests. egghead's strategies and advice...
Author
Language
English
Description
Geared toward both beginning and advanced undergraduate and graduate students, this self-contained treatment offers an elementary approach to finite projective planes. Following a review of the basics of projective geometry, the text examines finite planes, field planes, and coordinates in an arbitrary plane. Additional topics include central collineations and the little Desargues' property, the fundamental theorem, and examples of finite non-Desarguesian...
Author
Language
English
Description
Translated into many languages, this book was in continuous use as the standard university-level text for a quarter-century, until it was revised and enlarged by the author in 1952. World-renowned writer and researcher Nathan Altshiller-Court (1881–1968) was a professor of mathematics at the University of Oklahoma for more than thirty years. His revised introduction to modern geometry offers today's students the benefits of his many years of teaching...
Author
Language
English
Description
The theoretical assumptions of the following mathematical topics are presented in this book:plane geometry (elementary concepts and figures)solid geometrynote to non-Euclidean geometries.In addition, the main applications of these topics are mentioned and some exercises are carried out.
Author
Language
Español
Description
This book presents plane geometry following Hilbert's axiomatic system. It is inspired on R. Hartshome's fantastic book “Geometry: Euclid and Beyond” and can be considered as a careful exposition of most of chapter II of that book.
It must be remarked that non-euclidean geometries, i.e., geometries not satisfying the fifth postulate of Euclid, enter the scene, in a natural way, from the very beginning.
The vast majority of plane geometry texts...
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Series
Language
English
Description
To remove the contents of an egg without puncturing its shell or to drink the liquor in a bottle without removing the cork is clearly unthinkable - or is it? Understanding the world of Einstein and curved space requires a logical conception of the fourth dimension. This readable, informative volume provides an excellent introduction to that world, with 22 essays that employ a minimum of mathematics. Originally written for a contest sponsored by Scientific...
Author
Language
English
Description
Gauss's theory of surfaces is among the purely mathematical achievements inspired by ideas that arose in connection with surveys of the surface of the earth. Long regarded as a masterpiece in content and form, this work features one of the author's most original contributions to mathematics--the discovery that Gauss termed the "Theorema Egregium." It consists of his penetrating definition of the concept of surface curvature and the theorem that the...
Author
Language
English
Description
Newly updated accessible study covers parametric and non-parametric surfaces, isothermal parameters, Bernstein's theorem, much more, including such recent developments as new work on Plateau's problem and on isoperimetric inequalities. Clear, comprehensive examination provides profound insights into crucial area of pure mathematics. 1986 edition. Index.
Author
Language
Français
Description
Dans ce livre, des exercices sont réalisés sur les sujets mathématiques suivants :figures solides de rotation : sphère, cne, cylindrepolyèdres : cube, prisme et parallélépipède.
Des premières indications théoriques sont également présentées pour faire comprendre l'exécution des exercices.
Author
Language
English
Description
Fundamental Concepts of Geometry demonstrates in a clear and lucid manner the relationships of several types of geometry to one another. This highly regarded work is a superior teaching text, especially valuable in teacher preparation, as well as providing an excellent overview of the foundations and historical evolution of geometrical concepts. Professor Meserve (University of Vermont) offers students and prospective teachers the broad mathematical...
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Series
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English
Description
Foremost book available on polytopes, incorporating ancient Greek and most modern work done on them. Beginning with polygons and polyhedrons, the book moves on to multi-dimensional polytopes in a way that anyone with a basic knowledge of geometry and trigonometry can easily understand. Definitions of symbols. Eight tables plus many diagrams and examples. 1963 edition.
Author
Language
English
Description
In this book, exercises are carried out regarding the following mathematical topics:solid figures of rotation: sphere, cone, cylinderpolyhedra: cube, prism and parallelepiped.Initial theoretical hints are also presented to make the performance of the exercises understood.
58) Geometría
Author
Language
Español
Description
Todos los temas relacionados con la geometría se presentan en este libro:Geometría del plano euclidianogeometría sólida euclidianageometría analítica en el planogeometría proyectivageometría analítica en el espaciogeometrías no euclidianasgeometría combinatoriageometría discretageometría fractalgeometría diferencial
59) Spherical Models
Author
Series
Language
English
Description
Well-illustrated, practical approach to creating star-faced spherical forms that can serve as basic structures for geodesic domes. Complete instructions for making models from circular bands of paper with just a ruler and compass. Discusses tessellation, or tiling, and how to make spherical models of the semiregular solids and concludes with a discussion of the relationship of polyhedra to geodesic domes and directions for building models of domes....
Author
Series
Language
English
Description
A comprehensive approach to qualitative problems in intrinsic differential geometry, this text for upper-level undergraduates and graduate students emphasizes cases in which geodesics possess only local uniqueness properties--and consequently, the relations to the foundations of geometry are decidedly less relevant, and Finsler spaces become the principal subject. This direct approach has produced many new results and has materially generalized many...
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