Book Description
Absorbing essays demonstrate the charms of mathematics. Stimulating and thought-provoking treatment of geometry's crucial role in a wide range of mathematical applications, for students and mathematicians.
Author : H. S. M. Coxeter
Publisher : Courier Corporation
Page : 301 pages
File Size : 24,54 MB
Release : 1999-01-01
Category : Mathematics
ISBN : 0486409198
Absorbing essays demonstrate the charms of mathematics. Stimulating and thought-provoking treatment of geometry's crucial role in a wide range of mathematical applications, for students and mathematicians.
Author : Eli Maor
Publisher : Princeton University Press
Page : 206 pages
File Size : 29,42 MB
Release : 2017-04-11
Category : Art
ISBN : 0691175888
An exquisite visual celebration of the 2,500-year history of geometry If you've ever thought that mathematics and art don't mix, this stunning visual history of geometry will change your mind. As much a work of art as a book about mathematics, Beautiful Geometry presents more than sixty exquisite color plates illustrating a wide range of geometric patterns and theorems, accompanied by brief accounts of the fascinating history and people behind each. With artwork by Swiss artist Eugen Jost and text by math historian Eli Maor, this unique celebration of geometry covers numerous subjects, from straightedge-and-compass constructions to intriguing configurations involving infinity. The result is a delightful and informative illustrated tour through the 2,500-year-old history of one of the most important branches of mathematics.
Author : Jürgen Richter-Gebert
Publisher : Springer Science & Business Media
Page : 573 pages
File Size : 31,9 MB
Release : 2011-02-04
Category : Mathematics
ISBN : 3642172865
Projective geometry is one of the most fundamental and at the same time most beautiful branches of geometry. It can be considered the common foundation of many other geometric disciplines like Euclidean geometry, hyperbolic and elliptic geometry or even relativistic space-time geometry. This book offers a comprehensive introduction to this fascinating field and its applications. In particular, it explains how metric concepts may be best understood in projective terms. One of the major themes that appears throughout this book is the beauty of the interplay between geometry, algebra and combinatorics. This book can especially be used as a guide that explains how geometric objects and operations may be most elegantly expressed in algebraic terms, making it a valuable resource for mathematicians, as well as for computer scientists and physicists. The book is based on the author’s experience in implementing geometric software and includes hundreds of high-quality illustrations.
Author : David Hilbert
Publisher : Read Books Ltd
Page : 139 pages
File Size : 32,44 MB
Release : 2015-05-06
Category : History
ISBN : 1473395941
This early work by David Hilbert was originally published in the early 20th century and we are now republishing it with a brand new introductory biography. David Hilbert was born on the 23rd January 1862, in a Province of Prussia. Hilbert is recognised as one of the most influential and universal mathematicians of the 19th and early 20th centuries. He discovered and developed a broad range of fundamental ideas in many areas, including invariant theory and the axiomatization of geometry. He also formulated the theory of Hilbert spaces, one of the foundations of functional analysis.
Author : William M. Ivins
Publisher : Courier Corporation
Page : 130 pages
File Size : 26,76 MB
Release : 2012-10-16
Category : Art
ISBN : 0486143589
This highly stimulating study observes many historical interrelationships between art and mathematics. It explores ancient and Renaissance painting and sculpture, the development of perspective, and advances in projective geometry.
Author : Melvin Hausner
Publisher : Courier Dover Publications
Page : 417 pages
File Size : 21,30 MB
Release : 2018-10-17
Category : Mathematics
ISBN : 0486835391
A fascinating exploration of the correlation between geometry and linear algebra, this text also offers elementary explanations of the role of geometry in other branches of math and science. 1965 edition.
Author : Siobhan Roberts
Publisher :
Page : 0 pages
File Size : 28,99 MB
Release : 2007
Category : Biography & Autobiography
ISBN : 9781846680076
Geometry is far more than just shapes and numbers. It governs much of our lives, from architecture and data-mining technology to aerodynamic car design, life-like characters in animated movies, the molecules of food, even our own body chemistry. This title discusses the groundbreaking work of Donald Coxeter, the greatest geometer of his age.
Author : Paul B. Yale
Publisher : Courier Corporation
Page : 306 pages
File Size : 17,72 MB
Release : 2014-05-05
Category : Mathematics
ISBN : 0486169324
DIVIntroduction to the geometry of euclidean, affine and projective spaces with special emphasis on the important groups of symmetries of these spaces. Many exercises, extensive bibliography. Advanced undergraduate level. /div
Author : Jordan Ellenberg
Publisher : Penguin
Page : 481 pages
File Size : 46,23 MB
Release : 2021-05-25
Category : Mathematics
ISBN : 1984879065
An instant New York Times Bestseller! “Unreasonably entertaining . . . reveals how geometric thinking can allow for everything from fairer American elections to better pandemic planning.” —The New York Times From the New York Times-bestselling author of How Not to Be Wrong—himself a world-class geometer—a far-ranging exploration of the power of geometry, which turns out to help us think better about practically everything. How should a democracy choose its representatives? How can you stop a pandemic from sweeping the world? How do computers learn to play Go, and why is learning Go so much easier for them than learning to read a sentence? Can ancient Greek proportions predict the stock market? (Sorry, no.) What should your kids learn in school if they really want to learn to think? All these are questions about geometry. For real. If you're like most people, geometry is a sterile and dimly remembered exercise you gladly left behind in the dust of ninth grade, along with your braces and active romantic interest in pop singers. If you recall any of it, it's plodding through a series of miniscule steps only to prove some fact about triangles that was obvious to you in the first place. That's not geometry. Okay, it is geometry, but only a tiny part, which has as much to do with geometry in all its flush modern richness as conjugating a verb has to do with a great novel. 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? Those are important questions. The word "geometry"comes from the Greek for "measuring the world." If anything, that's an undersell. Geometry doesn't just measure the world—it explains it. Shape shows us how.
Author : J. L. Heilbron
Publisher : Oxford University Press
Page : 344 pages
File Size : 29,44 MB
Release : 2000
Category : History
ISBN : 9780198506904
This lavishly illustrated book provides an unusually accessible approach to geometry by placing it in historical context. With concise discussions and carefully chosen illustrations the author brings the material to life by showing what problems motivated early geometers throughout the world. Geometry Civilized covers classical plane geometry, emphasizing the methods of Euclid but also drawing on advances made in China and India. It includes a wide range of problems, solutions, and illustrations, as well as a chapter on trigonometry, and prepares its readers for the study of solid geometry and conic sections.