Forthcoming Books

Forthcoming Books
Author :
Publisher :
Total Pages : 2174
Release :
ISBN-10 : UOM:39015033709513
ISBN-13 :
Rating : 4/5 (13 Downloads)

Synopsis Forthcoming Books by : Rose Arny

Projective Geometry

Projective Geometry
Author :
Publisher : Cambridge University Press
Total Pages : 272
Release :
ISBN-10 : 0521483646
ISBN-13 : 9780521483643
Rating : 4/5 (46 Downloads)

Synopsis Projective Geometry by : Albrecht Beutelspacher

Projective geometry is not only a jewel of mathematics, but has also many applications in modern information and communication science. This book presents the foundations of classical projective and affine geometry as well as its important applications in coding theory and cryptography. It also could serve as a first acquaintance with diagram geometry. Written in clear and contemporary language with an entertaining style and around 200 exercises, examples and hints, this book is ideally suited to be used as a textbook for study in the classroom or on its own.

Geometry with an Introduction to Cosmic Topology

Geometry with an Introduction to Cosmic Topology
Author :
Publisher : Jones & Bartlett Learning
Total Pages : 255
Release :
ISBN-10 : 9780763754570
ISBN-13 : 0763754579
Rating : 4/5 (70 Downloads)

Synopsis Geometry with an Introduction to Cosmic Topology by : Michael P. Hitchman

The content of Geometry with an Introduction to Cosmic Topology is motivated by questions that have ignited the imagination of stargazers since antiquity. What is the shape of the universe? Does the universe have and edge? Is it infinitely big? Dr. Hitchman aims to clarify this fascinating area of mathematics. This non-Euclidean geometry text is organized intothree natural parts. Chapter 1 provides an overview including a brief history of Geometry, Surfaces, and reasons to study Non-Euclidean Geometry. Chapters 2-7 contain the core mathematical content of the text, following the ErlangenProgram, which develops geometry in terms of a space and a group of transformations on that space. Finally chapters 1 and 8 introduce (chapter 1) and explore (chapter 8) the topic of cosmic topology through the geometry learned in the preceding chapters.

Projective Geometry and Modern Algebra

Projective Geometry and Modern Algebra
Author :
Publisher : Birkhäuser Boston
Total Pages : 228
Release :
ISBN-10 : 9780817639006
ISBN-13 : 0817639004
Rating : 4/5 (06 Downloads)

Synopsis Projective Geometry and Modern Algebra by : Lars Kadison

The techniques and concepts of modern algebra are introduced for their natural role in the study of projectile geometry; groups appear as automorphism groups of configurations, division rings appear in the study of Desargues' theorem and the study of the independence of the seven axioms given for projectile geometry.

Geometries

Geometries
Author :
Publisher : American Mathematical Soc.
Total Pages : 322
Release :
ISBN-10 : 9780821875711
ISBN-13 : 082187571X
Rating : 4/5 (11 Downloads)

Synopsis Geometries by : Alekseĭ Bronislavovich Sosinskiĭ

The book is an innovative modern exposition of geometry, or rather, of geometries; it is the first textbook in which Felix Klein's Erlangen Program (the action of transformation groups) is systematically used as the basis for defining various geometries. The course of study presented is dedicated to the proposition that all geometries are created equal--although some, of course, remain more equal than others. The author concentrates on several of the more distinguished and beautiful ones, which include what he terms ``toy geometries'', the geometries of Platonic bodies, discrete geometries, and classical continuous geometries. The text is based on first-year semester course lectures delivered at the Independent University of Moscow in 2003 and 2006. It is by no means a formal algebraic or analytic treatment of geometric topics, but rather, a highly visual exposition containing upwards of 200 illustrations. The reader is expected to possess a familiarity with elementary Euclidean geometry, albeit those lacking this knowledge may refer to a compendium in Chapter 0. Per the author's predilection, the book contains very little regarding the axiomatic approach to geometry (save for a single chapter on the history of non-Euclidean geometry), but two Appendices provide a detailed treatment of Euclid's and Hilbert's axiomatics. Perhaps the most important aspect of this course is the problems, which appear at the end of each chapter and are supplemented with answers at the conclusion of the text. By analyzing and solving these problems, the reader will become capable of thinking and working geometrically, much more so than by simply learning the theory. Ultimately, the author makes the distinction between concrete mathematical objects called ``geometries'' and the singular ``geometry'', which he understands as a way of thinking about mathematics. Although the book does not address branches of mathematics and mathematical physics such as Riemannian and Kahler manifolds or, say, differentiable manifolds and conformal field theories, the ideology of category language and transformation groups on which the book is based prepares the reader for the study of, and eventually, research in these important and rapidly developing areas of contemporary mathematics.

A Course in Combinatorics

A Course in Combinatorics
Author :
Publisher : Cambridge University Press
Total Pages : 620
Release :
ISBN-10 : 0521006015
ISBN-13 : 9780521006019
Rating : 4/5 (15 Downloads)

Synopsis A Course in Combinatorics by : J. H. van Lint

This is the second edition of a popular book on combinatorics, a subject dealing with ways of arranging and distributing objects, and which involves ideas from geometry, algebra and analysis. The breadth of the theory is matched by that of its applications, which include topics as diverse as codes, circuit design and algorithm complexity. It has thus become essential for workers in many scientific fields to have some familiarity with the subject. The authors have tried to be as comprehensive as possible, dealing in a unified manner with, for example, graph theory, extremal problems, designs, colorings and codes. The depth and breadth of the coverage make the book a unique guide to the whole of the subject. The book is ideal for courses on combinatorical mathematics at the advanced undergraduate or beginning graduate level. Working mathematicians and scientists will also find it a valuable introduction and reference.

Dictionary of Scientific Biography

Dictionary of Scientific Biography
Author :
Publisher :
Total Pages : 650
Release :
ISBN-10 : 0684129248
ISBN-13 : 9780684129242
Rating : 4/5 (48 Downloads)

Synopsis Dictionary of Scientific Biography by : Charles Coulston Gillispie

The Encyclopedia Americana

The Encyclopedia Americana
Author :
Publisher :
Total Pages : 900
Release :
ISBN-10 : UOM:39015053781566
ISBN-13 :
Rating : 4/5 (66 Downloads)

Synopsis The Encyclopedia Americana by :