Author : Maurice G. Kendall
Publisher : Courier Corporation
Page : 82 pages
File Size : 33,42 MB
Release : 2004-01-01
Category : Mathematics
ISBN : 0486439275
This text for undergraduate students provides a foundation for resolving proofs dependent on n-dimensional systems. The two-part treatment begins with simple figures in n dimensions and advances to examinations of the contents of hyperspheres, hyperellipsoids, hyperprisms, etc. The second part explores the mean in rectangular variation, the correlation coefficient in bivariate normal variation, Wishart's distribution, more. 1961 edition.
Author : MAURICE G. KENDALL
Publisher : Forgotten Books
Page : 0 pages
File Size : 22,51 MB
Release : 2017-11-25
Category :
ISBN : 9780331947724
Excerpt from A Course in Geometry of N Dimensions My thanks are due to Mr. T. M. F. Smith and Mr. A. W. Matz, who read the typescript of the book and materially helped to remove obscurities and misprints. Doubtless some remain and I should be grateful to any reader who calls them to my attention. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author : Maurice George Kendall
Publisher :
Page : 80 pages
File Size : 27,59 MB
Release : 1962
Category : Hyperspace
ISBN :
Author : D. M.Y. Sommerville
Publisher : Courier Dover Publications
Page : 224 pages
File Size : 44,73 MB
Release : 2020-03-18
Category : Mathematics
ISBN : 0486842487
Classic exploration of topics of perennial interest to geometers: fundamental ideas of incidence, parallelism, perpendicularity, angles between linear spaces, polytopes. Examines analytical geometry from projective and analytic points of view. 1929 edition.
Author : Dan Pedoe
Publisher : Courier Corporation
Page : 466 pages
File Size : 23,56 MB
Release : 2013-04-02
Category : Mathematics
ISBN : 0486131734
Introduction to vector algebra in the plane; circles and coaxial systems; mappings of the Euclidean plane; similitudes, isometries, Moebius transformations, much more. Includes over 500 exercises.
Author : Ethan D. Bloch
Publisher : Springer Science & Business Media
Page : 433 pages
File Size : 34,46 MB
Release : 2011-06-27
Category : Mathematics
ISBN : 0817681221
The uniqueness of this text in combining geometric topology and differential geometry lies in its unifying thread: the notion of a surface. With numerous illustrations, exercises and examples, the student comes to understand the relationship of the modern abstract approach to geometric intuition. The text is kept at a concrete level, avoiding unnecessary abstractions, yet never sacrificing mathematical rigor. The book includes topics not usually found in a single book at this level.
Author : Judith N. Cederberg
Publisher : Springer Science & Business Media
Page : 456 pages
File Size : 31,23 MB
Release : 2013-03-09
Category : Mathematics
ISBN : 1475734905
Designed for a junior-senior level course for mathematics majors, including those who plan to teach in secondary school. The first chapter presents several finite geometries in an axiomatic framework, while Chapter 2 continues the synthetic approach in introducing both Euclids and ideas of non-Euclidean geometry. There follows a new introduction to symmetry and hands-on explorations of isometries that precedes an extensive analytic treatment of similarities and affinities. Chapter 4 presents plane projective geometry both synthetically and analytically, and the new Chapter 5 uses a descriptive and exploratory approach to introduce chaos theory and fractal geometry, stressing the self-similarity of fractals and their generation by transformations from Chapter 3. Throughout, each chapter includes a list of suggested resources for applications or related topics in areas such as art and history, plus this second edition points to Web locations of author-developed guides for dynamic software explorations of the Poincaré model, isometries, projectivities, conics and fractals. Parallel versions are available for "Cabri Geometry" and "Geometers Sketchpad".
Author : James E. Gentle
Publisher : Springer Nature
Page : 714 pages
File Size : 38,40 MB
Release :
Category :
ISBN : 3031421442
Author : Ana Cannas da Silva
Publisher : Springer
Page : 240 pages
File Size : 36,3 MB
Release : 2004-10-27
Category : Mathematics
ISBN : 354045330X
The goal of these notes is to provide a fast introduction to symplectic geometry for graduate students with some knowledge of differential geometry, de Rham theory and classical Lie groups. This text addresses symplectomorphisms, local forms, contact manifolds, compatible almost complex structures, Kaehler manifolds, hamiltonian mechanics, moment maps, symplectic reduction and symplectic toric manifolds. It contains guided problems, called homework, designed to complement the exposition or extend the reader's understanding. There are by now excellent references on symplectic geometry, a subset of which is in the bibliography of this book. However, the most efficient introduction to a subject is often a short elementary treatment, and these notes attempt to serve that purpose. This text provides a taste of areas of current research and will prepare the reader to explore recent papers and extensive books on symplectic geometry where the pace is much faster. For this reprint numerous corrections and clarifications have been made, and the layout has been improved.
Author : Jeremy Gray
Publisher : Springer Science & Business Media
Page : 390 pages
File Size : 27,85 MB
Release : 2011-02-01
Category : Mathematics
ISBN : 0857290606
Based on the latest historical research, Worlds Out of Nothing is the first book to provide a course on the history of geometry in the 19th century. Topics covered in the first part of the book are projective geometry, especially the concept of duality, and non-Euclidean geometry. The book then moves on to the study of the singular points of algebraic curves (Plücker’s equations) and their role in resolving a paradox in the theory of duality; to Riemann’s work on differential geometry; and to Beltrami’s role in successfully establishing non-Euclidean geometry as a rigorous mathematical subject. The final part of the book considers how projective geometry rose to prominence, and looks at Poincaré’s ideas about non-Euclidean geometry and their physical and philosophical significance. Three chapters are devoted to writing and assessing work in the history of mathematics, with examples of sample questions in the subject, advice on how to write essays, and comments on what instructors should be looking for.
