2 edition of **Discrete groups.** found in the catalog.

Discrete groups.

Wilhelm Magnus

- 36 Want to read
- 17 Currently reading

Published
by Stevens in New York
.

Written in English

- Group theory.

The Physical Object | |
---|---|

Pagination | 116 l. |

Number of Pages | 116 |

ID Numbers | |

Open Library | OL16585790M |

CONTENTS CHAPTER 1 Set Theory 1 Introduction 1 Sets and Elements, Subsets 1 Venn Diagrams 3 Set Operations 4 Algebra of Sets, Duality 7 Finite Sets, Counting Principle 8 Classes of Sets, Power Sets, Partitions 10 Mathematical Induction 12 SolvedProblems 12 SupplementaryProblems 18 CHAPTER 2 Relations 23 Introduction 23 Product Sets Contents Tableofcontentsii Listofﬁguresxvii Listoftablesxix Listofalgorithmsxx Prefacexxi Resourcesxxii 1 Introduction1

a mix of group work and class discussion on a few interesting problems. Most discrete books put logic ﬁrst as a preliminary, which certainly has its advantages. However, I wanted to discuss logic and proofs together, and found that doing bothFile Size: 1MB. Discrete Mathematics Do discrete math books looks boring? With no real world applications and too abstract. I promise that after reading this post, you will love discrete math Mathematical Induction This principle is simple. Look at falling do.

The Geometry of Discrete Groups. [Alan F Beardon] -- This text is about the geometric theory of discrete groups and the associated tesselations of the underlying space. The theory of Möbius transformations in n-dimensional Euclidean space is. BOOK REVIEW THE ERGODIC THEORY OF DISCRETE GROUPS By P. J. NICHOLLS: £, Paperback, pp, ISBN 0 2. The subject of the ergodic properties of discrete groups of isometries of hyperbolic space is of course not new. In fact the study of the geodesic flow on manifolds of.

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This book deals with geometric Discrete groups. book topological aspects of discrete groups. The main topics are hyperbolic groups due Discrete groups. book Gromov, automatic group theory, invented and developed by Epstein, whose subjects are groups that can be manipulated by computers, and Kleinian group theory, which enjoys the longest tradition and the richest contents within the theory of discrete subgroups of Author: Ken'ichi Ohshika.

From the Back Cover. This classic book is at the crossroads of several branches of mathematics: hyperbolic geometry, discrete groups, 3-dimensional topology, geometric group theory, and complex analysis. The main focus throughout the text is on Thurston’s hyperbolization theorem, one of the central results of 3-dimensional topology that has completely changed the landscape of the by: "This exciting book marks the genesis of a new field.

It is a field in which one passes back and forth at will through the looking glass dividing the discrete from the continuous. The book is a charming combination of topics from group theory (finite and infinite), Brand: Birkhäuser Basel.

Discrete groups and the thick{thin decomposition Suppose we have a complete hyperbolic structure on an orientable 3-manifold. Then the developing map D: Mf!H3 is a covering map, by theorem Since Mfand H3 are both simply connected, it follows that the developing map is an isometry. Thus we may view H3 as the universal cover of M.

Discrete Groups, Expanding Graphs and Invariant Measures. Authors (view affiliations) Alexander Lubotzky Search within book.

Front Matter. Pages i-xi. PDF. Expanding Graphs. Alexander Lubotzky Kazhdan’s property (T) from representation theory of semi-simple Lie groups was applied in both cases to achieve partial results, and later on.

This text is intended to serve as an introduction to the geometry of the action of discrete groups of Mobius transformations. The subject matter has now been studied with changing points of emphasis for over a hundred years, the most recent developments being connected with the theory of 3-manifolds: see, for example, the papers of Poincare [77] and Thurston [].

Number Theory, Trace Formulas and Discrete Groups: Symposium in Honor of Atle Selberg Oslo, Norway, Julyis a collection of papers presented at the Selberg Symposium, held at the University of Oslo.

This symposium contains 30 lectures that cover the significant contribution of Atle Selberg in the field of mathematics.

A discrete group is a topological group G equipped with the discrete topology. Any group can be given the discrete topology.

Since every map from a discrete space is continuous, the topological homomorphisms between discrete groups are exactly the group homomorphisms between the underlying groups. This is a free textbook for an undergraduate course on Discrete Structures for Computer Science students, which I have been teaching at Carleton Uni-versity since the fall term of The material is o ered as the second-year course COMP (Discrete Structures II).

Students are assumed to haveFile Size: 1MB. discrete mathematics. (“Discrete” here is used as the opposite of “continuous”; it is also often used in the more restrictive sense of “ﬁnite”.) The aim of this book is not to cover “discrete mathematics” in depth (it should be clear from the description above that such a File Size: KB.

A Short Course in Discrete Mathematics. This book consists of six units of study: Boolean Functions and Computer Arithmetic, Logic, Number Theory and Cryptography, Sets and Functions, Equivalence and Order, Induction, Sequences and Series.

A discrete group is a topological group in which the topology is discrete. For example, let us look at the reals under addition, but equip the reals with the discrete topology.

This gives us a topological group, which by definition is discrete. Deals with geometric and topological aspects of discrete groups. This book discusses the topics such as hyperbolic groups due to Gromov; automatic group theory, invented and developed by Epstein; and Kleinian group theory, which enjoys the tradition and the contents within the theory of discrete subgroups of Lie groups.

This book originated from a course of lectures given at Yale University during and a more elaborate one, the next year, at the Tata Institute of Fundamental Research.

Its aim is to present a detailed ac count of some of the recent work on the geometric aspects of the theory of discrete subgroups of Lie groups. This book is designed for a one semester course in discrete mathematics for sophomore or junior level students.

The text covers the mathematical concepts that students will encounter in many disciplines such as computer science, engineering, Business, and the sciences. Besides reading the book, students are strongly encouraged to do all the File Size: 1MB.

The Geometry of Discrete Groups book. Read reviews from world’s largest community for readers. This text is intended to serve as an introduction to the g /5(4). In this book, we will consider the intuitive or naive view point of sets. The notion of a set is taken as a primitive and so we will not try to de ne it explicitly.

We only give an informal description of sets and then proceed to establish their properties. A \well-de ned collection" of distinct objects can be considered to be a set. Thus, the File Size: 1MB. Book Description. A survey of one-relator products of cyclics or groups with a single defining relation, extending the algebraic study of Fuchsian groups to the more general context of one-relator products and related group theoretical considerations.

It provides a self-contained account of certain natural generalizations of discrete groups. Hyperbolic Manifolds and Discrete Groups is at the crossroads of several branches of mathematics: hyperbolic geometry, discrete groups, 3-dimensional topology, geometric group theory, and complex analysis.

The book is fairly self-contained, replete with beautiful illustrations, a rich set of examples of key concepts, numerous exercises, and. Geometric Group Theory Preliminary Version Under revision. The goal of this book is to present several central topics in geometric group theory, primarily related to the large scale geometry of infinite groups and spaces on which such groups act, and to illustrate them with fundamental theorems such as Gromov’s Theorem on groups of polynomial growth.

Books shelved as discrete-math: Concrete Mathematics: A Foundation for Computer Science by Ronald L. Graham, Discrete Mathematics with Applications by Su.A very good textbook for discrete mathematics at an undergraduate level is the Kenneth Rosen book titled Discrete Mathematics and Its Applications.

The book provides solutions to half of the problems. You can also buy the Student's Solutions Guide.I don't own it, but I would suspect that it either provides the answers to the other half of the questions or provides a step-by-step guide to.Compare book prices from overbooksellers.

Find Discrete Groups, Expanding Graphs and Invariant Meas (X) by Lubotzky, Alexander.4/5(1).