Catalog Search Results
Author
Publisher
Penguin Press
Pub. Date
2021.
Physical Desc
463 pages : illustrations ; 25 cm
Language
English
Description
"Shape reveals the geometry underneath some of the most important scientific, political, and philosophical problems we face. Geometry asks: Where are things? Which things are near each other? How can you get from one thing to another thing? ... Geometry doesn't just measure the world--it explains it. Shape shows us how"--
Author
Language
English
Description
The theoretical assumptions of the following mathematical topics are presented in this book:
plane geometry (elementary concepts and figures)
solid geometry
note to non-Euclidean geometries.
In addition, the main applications of these topics are mentioned and some exercises are carried out.
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
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...
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
In this original text, prolific mathematics author Steven G. Krantz addresses conformal geometry, a subject that has occupied him for four decades and for which he helped to develop some of the modern theory. This book takes readers with a basic grounding in complex variable theory to the forefront of some of the current approaches to the topic. "Along the way," the author notes in his Preface, "the reader will be exposed to some beautiful function...
Author
Language
English
Description
The ever-expanding field of extremal graph theory encompasses a diverse array of problem-solving methods, including applications to economics, computer science, and optimization theory. This volume, based on a series of lectures delivered to graduate students at the University of Cambridge, presents a concise yet comprehensive treatment of extremal graph theory. Unlike most graph theory treatises, this text features complete proofs for almost all...
Author
Language
English
Description
With its coverage of plane, solid, coordinate, vector, and non-Euclidean geometry, this text is suitable for high school, college, and continuing education courses as well as independent study. Each new topic is carefully developed and clarified with many examples. More than 2,000 illustrations help students visualize the problems. Every set of exercises is preceded by numerous examples with detailed solutions. Chapters include a vocabulary list,...
Author
Language
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
Français
Description
Dans ce livre, les hypothèses théoriques des sujets mathématiques suivants sont présentées :
géométrie plane (concepts et figures élémentaires)
géométrie solide
référence à des géométries non euclidiennes
En outre, les principales applications de ces sujets sont mentionnées et quelques exercices sont réalisés.
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
Professor Pedoe is widely known as a fine teacher and a fine geometer. His abilities in both areas are clearly evident in this self-contained, well-written, and lucid introduction to the scope and methods of elementary geometry. It covers the geometry usually included in undergraduate courses in mathematics, except for the theory of convex sets. Based on a course given by the author for several years at the University of Minnesota, the main purpose...
14) 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
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
Series
Language
English
Description
This study of many important curves, their geometrical properties, and their applications features material not customarily treated in texts on synthetic or analytic Euclidean geometry. Its wide coverage, which includes both algebraic and transcendental curves, extends to unusual properties of familiar curves along with the nature of lesser known curves.Informative discussions of the line, circle, parabola, ellipse, and hyperbola presuppose only the...
Author
Language
English
Description
This text explores the methods of the projective geometry of the plane. Some knowledge of the elements of metrical and analytical geometry is assumed; a rigorous first chapter serves to prepare readers. Following an introduction to the methods of the symbolic notation, the text advances to a consideration of the theory of one-to-one correspondence. It derives the projective properties of the conic and discusses the representation of these properties...
Author
Series
Language
English
Description
This lucid introductory text offers both an analytic and an axiomatic approach to plane projective geometry. The analytic treatment builds and expands upon students' familiarity with elementary plane analytic geometry and provides a well-motivated approach to projective geometry. Subsequent chapters explore Euclidean and non-Euclidean geometry as specializations of the projective plane, revealing the existence of an infinite number of geometries,...
Author
Language
English
Description
A high school course in geometry and some curiosity and enthusiasm for the subject are the only prerequisites for tackling this original exploration into the field, long a favorite for readers whose interest in math is not only practical and educational, but also recreational. The book centers on geometric thinking-what it means, how to develop it, and how to recognize it. Readers will discover fascinating insights into many aspects of geometry and...
Author
Language
English
Description
Designed for high school students and teachers with an interest in mathematical problem-solving, this volume offers a wealth of nonroutine problems in geometry that stimulate students to explore unfamiliar or little-known aspects of mathematics. Included are nearly 200 problems dealing with congruence and parallelism, the Pythagorean theorem, circles, area relationships, Ptolemy and the cyclic quadrilateral, collinearity and concurrency, and many...
In Interlibrary Loan
Didn't find what you need? Items not owned by Pueblo Library can be requested from other Interlibrary Loan libraries to be delivered to your local library for pickup.
Didn't find it?
Can't find what you are looking for? Try our Materials Request Service. Submit Request