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Author: D. M.Y. Sommerville
Publisher: Courier Dover Publications
Published: 2020-03-18
Total Pages: 224
ISBN-13: 0486842487
DOWNLOAD EBOOKClassic 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: Maurice G. Kendall
Publisher: Courier Corporation
Published: 2004-01-01
Total Pages: 82
ISBN-13: 0486439275
DOWNLOAD EBOOKThis 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: Frederick Shenstone Woods
Publisher:
Published: 1922
Total Pages: 446
ISBN-13:
DOWNLOAD EBOOKAuthor: Abraham Albert Ungar
Publisher: CRC Press
Published: 2014-12-17
Total Pages: 623
ISBN-13: 1482236672
DOWNLOAD EBOOKThe concept of the Euclidean simplex is important in the study of n-dimensional Euclidean geometry. This book introduces for the first time the concept of hyperbolic simplex as an important concept in n-dimensional hyperbolic geometry. Following the emergence of his gyroalgebra in 1988, the author crafted gyrolanguage, the algebraic language that sheds natural light on hyperbolic geometry and special relativity. Several authors have successfully employed the author’s gyroalgebra in their exploration for novel results. Françoise Chatelin noted in her book, and elsewhere, that the computation language of Einstein described in this book plays a universal computational role, which extends far beyond the domain of special relativity. This book will encourage researchers to use the author’s novel techniques to formulate their own results. The book provides new mathematical tools, such as hyperbolic simplexes, for the study of hyperbolic geometry in n dimensions. It also presents a new look at Einstein’s special relativity theory.
Author: Dan Pedoe
Publisher: Courier Corporation
Published: 2013-04-02
Total Pages: 466
ISBN-13: 0486131734
DOWNLOAD EBOOKIntroduction 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: Ernst Kunz
Publisher: Springer Science & Business Media
Published: 2012-11-06
Total Pages: 253
ISBN-13: 1461459877
DOWNLOAD EBOOKOriginally published in 1985, this classic textbook is an English translation of Einführung in die kommutative Algebra und algebraische Geometrie. As part of the Modern Birkhäuser Classics series, the publisher is proud to make Introduction to Commutative Algebra and Algebraic Geometry available to a wider audience. Aimed at students who have taken a basic course in algebra, the goal of the text is to present important results concerning the representation of algebraic varieties as intersections of the least possible number of hypersurfaces and—a closely related problem—with the most economical generation of ideals in Noetherian rings. Along the way, one encounters many basic concepts of commutative algebra and algebraic geometry and proves many facts which can then serve as a basic stock for a deeper study of these subjects.
Author: Rudolf Rucker
Publisher: Courier Corporation
Published: 2012-06-08
Total Pages: 159
ISBN-13: 0486140334
DOWNLOAD EBOOKExposition of fourth dimension, concepts of relativity as Flatland characters continue adventures. Topics include curved space time as a higher dimension, special relativity, and shape of space-time. Includes 141 illustrations.
Author: Abraham Albert Ungar
Publisher: CRC Press
Published: 2014-12-17
Total Pages: 616
ISBN-13: 1482236680
DOWNLOAD EBOOKThe concept of the Euclidean simplex is important in the study of n-dimensional Euclidean geometry. This book introduces for the first time the concept of hyperbolic simplex as an important concept in n-dimensional hyperbolic geometry. Following the emergence of his gyroalgebra in 1988, the author crafted gyrolanguage, the algebraic language t
Author: Nathan Altshiller-Court
Publisher: Dover Publications
Published: 2013-12-30
Total Pages: 336
ISBN-13: 9780486788470
DOWNLOAD EBOOKThe standard university-level text for decades, this volume offers exercises in construction problems, harmonic division, circle and triangle geometry, and other areas. 1952 edition, revised and enlarged by the author.
Author: Franco P. Preparata
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 413
ISBN-13: 1461210984
DOWNLOAD EBOOKFrom the reviews: "This book offers a coherent treatment, at the graduate textbook level, of the field that has come to be known in the last decade or so as computational geometry. ... ... The book is well organized and lucidly written; a timely contribution by two founders of the field. It clearly demonstrates that computational geometry in the plane is now a fairly well-understood branch of computer science and mathematics. It also points the way to the solution of the more challenging problems in dimensions higher than two." #Mathematical Reviews#1 "... This remarkable book is a comprehensive and systematic study on research results obtained especially in the last ten years. The very clear presentation concentrates on basic ideas, fundamental combinatorial structures, and crucial algorithmic techniques. The plenty of results is clever organized following these guidelines and within the framework of some detailed case studies. A large number of figures and examples also aid the understanding of the material. Therefore, it can be highly recommended as an early graduate text but it should prove also to be essential to researchers and professionals in applied fields of computer-aided design, computer graphics, and robotics." #Biometrical Journal#2
