Every mathematician should be acquainted with the basic facts about the geometry of surfaces, of two-dimensional manifolds. The theory of three-dimensional manifolds is much more difficult and still only partly understood, although there is ample evidence that the theory of thre…
"This well-illustrated book is the first comprehensive yet accessible introduction to the mathematics of Buckminster Fuller's invention of the geodesic dome fifty years ago, which paved the way for a flood of practical applications in construction and other areas. Geodesic appli…
by Weinstein, Alan, Maeda, Yoshiaki, Omori, Hideki
"This book gives an introduction to the basics of differential geometry, keeping in mind the natural origin of many geometrical quantities, as well as the applications of differential geometry and its methods to other sciences." "The book is based on lectures the author held rep…
Designed for mathematics majors and other students who intend to teach mathematics at the secondary school level, College Geometry: A Unified Development unifies the three classical geometries within an axiomatic framework. The author develops the axioms to include Euclidean, el…
Offering an approach to sacred geometry that pairs the mystical with the practical, the cosmic with the earthly, the author reveals how the art and science of harmonics should be required study for both the artist and the seeker of eternal truths as well as the scientist who see…
The book gives an elementary and comprehensive introduction to Spin Geometry, with particular emphasis on the Dirac operator which plays a fundamental role in differential geometry and mathematical physics. After a self-contained presentation of the basic algebraic, geometrical,…
by Hirschfeld, J. W. P., Thas, J. A.
fromSpringer Monographs in Mathematics
by Pieter Moree, Pieter Moree, Martin Moller, Thomas, Ward, Sergii Kolyada
The Erlangen program expresses a fundamental point of view on the use of groups and transformation groups in mathematics and physics. The present volume is the first modern comprehensive book on that program and its impact in contemporary mathematics and physics. Klein spelled o…
