Edited by: Dorothy Buck, Imperial College London, England,
and Erica Flapan, Pomona College, Claremont, CA

Applications of Knot Theory

Proceedings of Symposia in Applied Mathematics, Volume: 66
2009; approx. 188 pp; hardcover
ISBN-13: 978-0-8218-4466-3
Expected publication date is March 8, 2009.

Over the past 20-30 years, knot theory has rekindled its historic ties with biology, chemistry, and physics as a means of creating more sophisticated descriptions of the entanglements and properties of natural phenomena--from strings to organic compounds to DNA.

This volume is based on the 2008 AMS Short Course, Applications of Knot Theory. The aim of the Short Course and this volume, while not covering all aspects of applied knot theory, is to provide the reader with a mathematical appetizer, in order to stimulate the mathematical appetite for further study of this exciting field.

No prior knowledge of topology, biology, chemistry, or physics is assumed. In particular, the first three chapters of this volume introduce the reader to knot theory (by Colin Adams), topological chirality and molecular symmetry (by Erica Flapan), and DNA topology (by Dorothy Buck). The second half of this volume is focused on three particular applications of knot theory. Louis Kauffman discusses applications of knot theory to physics, Nadrian Seeman discusses how topology is used in DNA nanotechnology, and Jonathan Simon discusses the statistical and energetic properties of knots and their relation to molecular biology.

Readership

Graduate students and research mathematicians interested in knot theory and applications.

Table of Contents

C. Adams -- A brief introduction to knot theory from the physical point of view
E. Flapan -- Topological chirality and symmetries of non-rigid molecules
D. Buck -- DNA topology
L. H. Kauffman -- Knots and physics
N. C. Seeman -- Synthetic single-stranded DNA topology
J. Simon -- Long tangled filaments

Edited by: Timothy Y. Chow, Center for Communications Research, Princeton, NJ,
and Daniel C. Isaksen, Wayne State University, Detroit, MI

Communicating Mathematics

Contemporary Mathematics, Volume: 479
2009; 238 pp; softcover
ISBN-13: 978-0-8218-4345-1
Expected publication date is March 14, 2009.

This volume contains the proceedings of a conference held in July, 2007 at the University of Minnesota, Duluth, in honor of Joseph A. Gallian's 65th birthday and the 30th anniversary of the Duluth Research Experience for Undergraduates.

In keeping with Gallian's extraordinary expository ability and broad mathematical interests, the articles in this volume span a wide variety of mathematical topics, including algebraic topology, combinatorics, design theory, forcing, game theory, geometry, graph theory, group theory, optimization, and probability.

Some of the papers are purely expository while others are research articles. The papers are intended to be accessible to a general mathematics audience, including first-year or second-year graduate students. This volume should be especially useful for mathematicians seeking a new research area, as well as those looking to enrich themselves and their research programs by learning about problems and techniques used in other areas of mathematics.

Readership

Graduate students and research mathematicians interested in algebra, discrete mathematics, geometry, or probability.

Table of Contents

Edited by: Nguyen Viet Dung, Ohio University, Zanesville, OH, Franco Guerriero, Ohio University, Lancaster, OH, Lakhdar Hammoudi, Ohio University, Chillicothe, OH, and Pramod Kanwar, Ohio University, Zanesville, OH

Rings, Modules and Representations

Contemporary Mathematics, Volume: 480
2009; 361 pp; softcover
ISBN-13: 978-0-8218-4370-3
Expected publication date is March 18, 2009.

This volume originated from talks given at the International Conference on Rings and Things held in June, 2007 at Ohio University-Zanesville.

The papers in this volume contain the latest results in current active research areas in the theory of rings and modules, including noncommutative and commutative ring theory, module theory, representation theory, and coding theory. In particular, papers in this volume deal with topics such as decomposition theory of modules, injectivity and generalizations, tilting theory, rings and modules with chain conditions, Leavitt path algebras, representations of finite dimensional algebras, and codes over rings. While most of these papers are original research articles, some are expository surveys.

This book is suitable for graduate students and researchers interested in noncommutative ring and module theory, representation theory, and applications.

Readership

Graduate students and research mathematicians noncommutative ring and module theory, and representation theory.

Table of Contents

Sheldon Ross, University of Southern California, Los Angeles, USA

INTRODUCTION TO PROBABILITY AND STATISTICS
FOR ENGINEERS AND SCIENTISTS

Description

This updated text provides a superior introduction to applied probability and statistics for engineering or science majors. Ross emphasizes the manner in which probability yields insight into statistical problems; ultimately resulting in an intuitive understanding of the statistical procedures most often used by practicing engineers and scientists. Real data sets are incorporated in a wide variety of exercises and examples throughout the book, and this emphasis on data motivates the probability coverage. As with the previous editions, Ross' text has remendously clear exposition, plus real-data examples and exercises throughout the text. Numerous exercises, examples, and applications apply probability theory to everyday statistical problems and situations. Also Available: Student Solutions Manual for Introduction to Probability and Statistics for Engineers and Scientists, 4e ISBN:9780123705280

Audience

Primary audience is undergraduates/graduate students in engineering and the sciences

Contents

Preface Ch1 Introduction to Statistics Ch2 Descriptive Statistics Ch3 Elements of Probability Ch4 Random Variables and Expectation Ch5 Special Random Variables Ch6 Distributions of Sampling Statistics Ch7 Parameter Estimation Ch8 Hypothesis Testing Ch9 Regression Ch10 Analysis of Variance Ch11 Goodness of Fit Tests and Categorical Data Analysis Ch12 NonparametricHypothesisTests Ch13 Quality Control Ch14 LifeTesting Ch15 Simulation, Bootstrap Statistical Methods, and Permutation Tests Appendix of Tables

Bibliographic details

Hardbound, 696 pages,
publication date: FEB-2009
ISBN-13: 978-0-12-370483-2

Heikki Ruskeepaa, University of Turku

MATHEMATICA NAVIGATOR
Mathematics, Statistics and Graphics

Description

Ruskeepaa gives a general introduction to the most recent versions of Mathematica, the symbolic computation software from Wolfram. The book emphasizes graphics, methods of applied mathematics and statistics, and programming. Mathematica Navigator can be used both as a tutorial and as a handbook. While no previous experience with Mathematica is required, most chapters also include advanced material, so that the book will be a valuable resource for both beginners and experienced users.

Audience Students, teachers and professionals interested in utilizing the full power of Mathematica software. Little to no previous experience with the software is necessary.

Contents

Preface 1 Starting 2 Sightseeing 3 Notebooks 4 Files 5 2D Graphics for Functions 6 Options for 2D Graphics 7 3D Graphics for Functions 8 Options for 3D Graphics 9 2D Graphics for Data 10 3D Graphics for Data 11 Numbers 12 Expressions 13 Lists 14 Functions 15 Programs 16 Differential Calculus 17 Integral Calculus 18 Matrices 19 Equations 20 Optimization 21 Interpolation 22 Approximation 23 Differential Equations 24 Partial Differential Equations 25 Difference Equations 26 Probability 27 Statistics References Index

Bibliographic details

Paperback, 1136 pages,
publication date: MAR-2009
ISBN-13: 978-0-12-374164-6