Brian R. Hunt / Ronald L. Lipsman / Jonathan M. Rosenberg
University of Maryland, College Park
Kevin R. Coombes / University of Texas
John E. Osborn / University of Maryland

A Guide to MATLAB For Beginners and Experienced Users 2nd Edition

Hardback (ISBN-13: 9780521850681 | ISBN-10: 0521850681)
Paperback (ISBN-13: 9780521615655 | ISBN-10: 0521615658

available from March 2006

This is a short, focused introduction to MATLAB, a comprehensive software system for mathematical and technical computing. It contains concise explanations of essential MATLAB commands, as well as easily understood instructions for using MATLAB's programming features, graphical capabilities, simulation models, and rich desktop interface. Written for MATLAB 7, it can also be used with earlier (and later) versions of MATLAB. This book teaches how to graph functions, solve equations, manipulate images, and much more. It contains explicit instructions for using MATLAB's companion software, Simulink, which allows graphical models to be built for dynamical systems. MATLAB's new "publish" feature is discussed, which allows mathematical computations to be combined with text and graphics, to produce polished, integrated, interactive documents. For the beginner it explains everything needed to start using MATLAB, while experienced users making the switch to MATLAB 7 from an earlier version will also find much useful information here.

* Focuses first on the essentials, then develops finer points through numerous examples

* Contains an introduction to Simulink - MATLAB’s companion software for dynamic modeling and to GUIDE - MATLAB’s tool for constructing graphical user interfaces

* There are numerous cross-references interspersed into an attractive layout that makes for easy reading and speedy learning

Contents
Preface; 1. Getting started; 2. MATLAB basics; 3. Interacting with MATLAB; 4. Beyond the basics; 5. MATLAB graphics; 6. M-Books; 7. MATLAB programming; 8. SIMULINK and GUIs; 9. Applications; 10. MATLAB and the internet; 11. Troubleshooting; Solutions to the practice sets; Glossary; Index.

Yury Ionin / Central Michigan University
Mohan Shrikhande / Central Michigan University

Combinatorics of Symmetric Designs

Series: New Mathematical Monographs (No. 5)
Hardback (ISBN-13: 9780521818339 | ISBN-10: 0521818338)
available from March 2006 (Stock level updated: 17:59 GMT, 01 March 2006)

The aim of this book is to provide a unified exposition of the theory of symmetric designs with emphasis on recent developments. The authors cover the combinatorial aspects of the theory giving particular attention to the construction of symmetric designs and related objects. The last five chapters of the book are devoted to balanced generalized weighing matrices, decomposable symmetric designs, subdesigns of symmetric designs, non-embeddable quasi-residual designs, and Ryser designs. Most results in these chapters have never previously appeared in book form. The book concludes with a comprehensive bibliography of over 400 entries. Researchers in all areas of combinatorial designs, including coding theory and finite geometries, will find much of interest here. Detailed proofs and a large number of exercises make this book suitable as a text for an advanced course in combinatorial designs.

* The book contains many recent results and developments that have never appeared in book form, and an extensive bibliography contains more than 400 cited entries

* Self-contained and accessible to researchers and graduate students alike

* As there are a large number of exercises, and detailed proofs of important results, it can serve as a text for a graduate course in Combinatorial Designs

Contents

1. Combinatorics of finite sets; 2. Introduction to designs; 3. Vector spaces over finite fields; 4. Hadamard matrices; 5. Resolvable designs; 6. Symmetric designs and t-designs; 7. Symmetric designs and regular graphs; 8. Block intersection structure of designs; 9. Difference sets; 10. Balanced generalized weighing matrices; 11. Decomposable symmetric designs; 12. Subdesigns of symmetric designs; 13. Non-embeddable quasi-residual designs; 14. Ryser designs; Appendix; Bibliography; Index.

Steven Krantz

Mathematical Apocrypha Redux
More Stories and Anecdotes of Mathematicians and the Mathematical

Series: Spectrum
Paperback (ISBN-13: 9780883855546 | ISBN-10: 0883855542)
Publication is planned for March 2006

A companion to Mathematical Apocrypha, this second volume of anecdotes, stories, quips, and ruminations about mathematics and mathematicians is sure to please. It differs from other books of its type in that many of the stories are from the twentieth century and many about currently living mathematicians. A number of the best stories come from the author's first-hand experience. The writing is lively, engaging, and informative. There are stories the reader may wish to share with students and colleagues, friends, and relatives. The purpose of the book is to explore and to celebrate the many facets of mathematical life. The stories reveal mathematicians as intense, human, and sympathetic. They should resonate with readers everywhere.

* The sequel to Mathematical Apocrypha

* Short anecdotes and quips giving a glimpse into the world of mathematics

* Should be enjoyed by anyone with an interest in mathematics or mathematicians

Contents

Preface; 1. Utter frivolity; 2. Utter helplessness; 3. Utter utterances; 4. Utter sagacity; 5. Utter sanguinity; 6. Utter seriousness; 7. Utter credulity; 8. Utter confusion; 9. Utter solipsism; Further reading; Index.

Edited by Christoph Lossen / Gerhard Pfister

Singularities and Computer Algebra

Series: London Mathematical Society Lecture Note Series (No. 324)
Paperback (ISBN-13: 9780521683098 | ISBN-10: 0521683092)
available from March 2006

This volume surveys important topics in singularity theory, with a particular focus on computational aspects of the subject. The contributors to this volume include R. O. Buchweitz, Y. A. Drozd, W. Ebeling, H. A. Hamm, Le D. T., I. Luengo, F.-O. Schreyer, E. Shustin, J. H. M. Steenbrink, D. van Straten, B. Teissier and J. Wahl. Together they describe the development of various areas of singularity theory over many years, and a range of open questions are discussed. Research workers in singularity theory, computer algebra or related subjects will find that this book contains a wealth of valuable information.

* Contributors are leading figures in singularity theory

* Entire subject is spanned in expository chapters

* Numerous open questions are discussed

Contents

Preface; Invited lectures; List of participants; 1. Aspects of Gert-Martin Greuel’s mathematical work C. Lossen and G. Pfister; 2. Exterior algebra methods for the construction of rational surfaces in the projective fourspace H. Abo and F.-O. Schreyer; 3. Superisolated surface singularities E. Artal Bartolo, I. Luengo and A. Melle Hernandez; 4. Linear free divisors and quiver representations R.-O. Buchweitz and D. Mond; 5. Derived categories of modules and coherent sheaves Y. A. Drozd; 6. Monodromy W. Ebeling; 7. Algorithmic resolution of singularities A. Fruhbis-Kruger and G. Pfister; 8. Newton polyhedra of descriminants: a computation E. Garci a Barroso and B. Teissier; 9. Depth and differential forms H. A. Hamm; 10. The geometry of the versal deformation L. D. Trang; 11. 21 years of SINGULAR experiments in mathematics C. Lossen and H. Schonemann; 12. The patchworking construction in tropical enumerative geometry E. Shustin; 13. Adjunction conditions for one-forms on surfaces in projective three-space J. H. M. Steenbrink; 14. Sextic surfaces with ten triple points J. Stevens; 15. Some problems on Lagrangian singularities D. van Straten; 16. Topology, geometry, and equations of normal surface singularities J. Wahl.

Contributors

C. Lossen, G. Pfister, H. Abo, F.-O. Schreyer, E. Artal Bartolo, I. Luengo, A. Melle Hernandez, R.-O. Buchweitz, D. Mond, Y. A. Drozd, W. Ebeling, A. Fruhbis-Kruger, E. Garci a Barroso, B. Teissier, H. A. Hamm, L. D. Trang, H. Schonemann, E. Shustin, J. H. M. Steenbrink, J. Stevens, D. van Straten, J. Wahl

Andrew Markoe
Rider University, New Jersey

Analytic Tomography

Series: Encyclopedia of Mathematics and its Applications (No. 106)
Hardback (ISBN-13: 9780521793476 | ISBN-10: 0521793475)
March 2006

This book is a comprehensive study of the Radon transform, which operates on a function by integrating it over hyperplanes. The book begins with an elementary and graphical introduction to the Radon transform, tomography and CT scanners, followed by a rigorous development of the basic properties of the Radon transform. Next the author introduces Grassmann manifolds in the study of the k-plane transform (a version of the Radon transform) which integrates over k-dimensional planes rather than hyperplanes. The remaining chapters are concerned with more advanced topics, such as the attenuated Radon transform and generalized Radon transforms defined by duality of homogeneous spaces and double fibrations. Questions of invertibility and the range of the Radon transform are dealt with and inversion formulas are developed with particular attention to functions on L2 spaces and some discussion of the case of Lp spaces.

* Comprehensive coverage of the Radon transform

* Includes advanced topics such as the attenuated Radon transform and generalized Radon transforms

* Includes an informal, graphical introduction to how a CT scanner works

Contents

1. Computerized tomography, X-rays, and the Radon transform; 2. The Radon transform; 3. The k Plane transform, the Radon- John transform; 4. Range and differential equations; 5. Generalizations and variants of the Radon transform.