MATTHEW FOREMAN University of California, Irvine
ALEXANDER S. KECHRIS California Institute of Technology
ALAIN LOUVEAU CNRS, Université de Paris VI
BENJAMIN WEISS Hebrew University of Jerusalem

Descriptive Set Theory and Dynamical Systems

Description: In recent years there has been a growing interest in the interactions between descriptive set theory and various aspects of the theory of dynamical systems, including ergodic theory and topological dynamics. This volume contains a collection of survey papers by leading researchers covering a wide variety of recent developments in these subjects and their interconnections. This book provides researchers and graduate students interested in either of these areas with a guide to work done in the other, as well as with an introduction to problems and research directions arising from their interconnections.

Contents: Preface; 1. An overview of infinite ergodic theory J. Aaronson; 2. The multifarious Poincaré recurrence theorem V. Bergelson; 3. Groups of automorphisms of a measure space and weak equivalence of cocycles S. Bezuglyi; 4. A descriptive view of ergodic theory M. Foreman; 5. Structure theory as a tool in topological dynamics E. Glasner; 6. Orbit properties of pseudo-homeomorphism groups of a perfect Polish space and their cocycles V. YA. Golodets, V. M. Kulagin and S. D. Sinel'shchikov; 7. Descriptive dynamics A. S. Kechris; 8. Polish groupoids A. B. Ramsay; 9. A survey of generic dynamics B. Weiss.

ISBN, Binding, : 0521786444 Paperback 2000 228 x 152 mm 304pp
Approximate Publication date: 8 May 2000
Main Subject Category: Dynamics, Control, Differential & Integral Equations
Series: London Mathematical Society Lecture Note Series, 277

Contributors: J. Aaronson, V. Bergelson, S. Bezuglyi, M. Foreman, E. Glasner, V. YA. Golodets, V. M. Kulagin, S. D. Sinel'shchikov, A. S. Kechris, A. B. Ramsay, B. Weiss

Subject:mathematics, set theory, dynamical systems, logic
LEVELgraduate students, academic researchers

GERARD TEL Utrecht University

Introduction to Distributed Algorithms 2nd edition

Description: Distributed algorithms have been the subject of intense development over the last twenty years. The second edition of this successful textbook provides an up-to-date introduction both to the topic, and to the theory behind the algorithms. The clear presentation makes the book suitable for advanced undergraduate or graduate courses, whilst the coverage is sufficiently deep to make it useful for practising engineers and researchers. The author concentrates on algorithms for the point-to-point message passing model, and includes algorithms for the implementation of computer communication networks. Other key areas discussed are algorithms for the control of distributed applications (wave, broadcast, election, termination detection, randomized algorithms for anonymous networks, snapshots, deadlock detection, synchronous systems), and fault-tolerance achievable by distributed algorithms. The two new chapters on sense of direction and failure detectors are state-of-the-art and will provide an entry to research in these still-developing topics.

Contents: Preface; 1. Introduction: distributed systems; Part I. Protocols: 2. The model; 3. Communication protocols; 4. Routing algorithms; 5. Deadlock-free packet switching; Part II. Fundamental Algorithms: 6. Waves and traversal algorithms; 7. Election algorithms; 8. Termination detection; 9. Anonymous networks; 10. Snapshots; 11. Sense of direction and orientation; 12. Synchrony in networks; Part III: 13. Fault tolerance in distributed systems; 14. Fault tolerance in asynchronous systems; 15. Fault tolerance in synchronous systems; 16. Failure detection; 17. Stabilization; Part IV. Appendices: A. Pseudocode conventions; B. Graphs and networks; References; Index.

ISBN, Binding, : 0521794838 Paperback  247 x 174 mm 600pp
Approximate Publication date: 18 July 2000
Main Subject Category: Theory of computation, data

MICHAEL ASCHBACHER California Institute of Technology

Finite Group Theory 2nd edition

Description: During the last 40 years the theory of finite groups has developed dramatically. The finite simple groups have been classified and are becoming better understood. Tools exist to reduce many questions about arbitrary finite groups to similar questions about simple groups. Since the classification there have been numerous applications of this theory in other branches of mathematics. Finite Group Theory develops the foundations of the theory of finite groups. It can serve as a text for a course on finite groups for students already exposed to a first course in algebra. For the reader with some mathematical sophistication but limited knowledge of finite group theory, the book supplies the basic background necessary to begin to read journal articles in the field. It also provides the specialist in finite group theory with a reference in the foundations of the subject. The second edition of Finite Group Theory has been considerably improved with a completely rewritten Chapter 15 considering the 2-Signalizer Functor Theorem, and the addition of an appendix containing solutions to exercises.

Contents: 1. Preliminary results; 2. Permutation representations; 3. Representations of groups on groups; 4. Linear representations; 5. Permutation groups; 6. Extensions of groups and modules; 7. Spaces with forms; 8. p-Groups; 9. Change of field of a linear representation; 10. Presentations of groups; 11. The generalized Fitting subgroup; 12. Linear representations of finite groups; 13. Transfer and fusion; 14. The geometry of groups of Lie type; 15. Signalizer functors; 16. Finite simple groups.

ISBN, Binding, : 0521781450 Hardback 0521786754 Paperback
Approximate Publication date: 19 July 2000
Main Subject Category: Algebra
Series: Cambridge Studies in Advanced Mathematics, 10

E. CASAS-ALVERO University of Barcelona

Singularities of Plane Curves

Description: This book provides a comprehensive and self-contained exposition of the algebro-geometric theory of singularities of plane curves, covering both its classical and its modern aspects. The book gives a unified treatment, with complete proofs, presenting modern results which have only ever appeared in research papers. It updates and correctly proves a number of important classical results for which there was formerly no suitable reference, and includes new, previously unpublished results as well as applications to algebra and algebraic geometry. This book will be useful as a reference text for researchers in the field. It is also suitable as a textbook for postgraduate courses on singularities, or as a supplementary text for courses on algebraic geometry (algebraic curves) or commutative algebra (valuations, complete ideals).

Contents: Preface; Preliminaries; 1. Newton-Puiseux algorithm; 2. First local properties of plane curves; 3. Infinitely near points; 4. Virtual multiplicities; 5. Analysis of branches; 6. Polar germs and related invariants; 7. Linear families of germs; 8. Valuations and complete ideals; A. Applications to affine geometry.

ISBN, Binding, : 0521789591 Paperback
Approximate Publication date: 27 July 2000
228 x 152 mm 350pp 12 line diagrams 124 exercises
Main Subject Category: Geometry, topology
Series: London Mathematical Society Lecture Note Series, 276

J. CHOLEWA Silesian University
T. DLOTKO Silesian University

Global Attractors in Abstract Parabolic Problems

Description: The study of dissipative equations is an area that has attracted substantial attention over many years. Much progress has been achieved using a combination of both finite dimensional and infinite dimensional techniques, and in this book the authors exploit these same ideas to investigate the asymptotic behaviour of dynamical systems corresponding to parabolic equations. In particular the theory of global attractors is presented in detail. Extensive auxiliary material and rich references make this self-contained book suitable as an introduction for graduate students, and experts from other areas, who wish to enter this field.

Contents: 1. Preliminary concepts; 2. The abstract Cauchy problem; 3. Semigroups of global solutions; 4. Construction of the global attractor; 5. Application of abstract results to parabolic problems; 6. Examples of global attractors in parabolic problems; 7. Backward uniqueness and regularity of solutions; 8. Extensions; Appendix.

ISBN, Binding, Price: 0521794242 Paperback 228 x 152 mm 250pp
Approximate Publication date: 28 August 2000
Main Subject Category: Applied mathematics, mathematical physics
Series: London Mathematical Society Lecture Note Series, 278

N. PETERS RWTH-Aachen

Turbulent Combustion

Description: The combustion of fossil fuels remains a key technology for the foreseeable future. It is therefore important that we understand the mechanisms of combustion and, in particular, the role of turbulence within this process. Combustion always takes place within a turbulent flow field for two reasons: turbulence increases the mixing process and enhances combustion, but at the same time combustion releases heat which generates flow instability through buoyancy, thus enhancing the transition to turbulence. The four chapters of this book present a thorough introduction to the field of turbulent combustion. After an overview of modeling approaches, the three remaining chapters consider the three distinct cases of premixed, non-premixed, and partially premixed combustion, respectively. This book will be of value to researchers and students of engineering and applied mathematics by demonstrating the current theories of turbulent combustion within a unified presentation of the field.

Contents: 1. Turbulent combustion: the state of the art; 2. Premixed turbulent combustion; 3. Nonpremixed turbulent combustion; 4. Partially premixed turbulent combustion.

ISBN, Binding,  0521660823 Hardback
228 x 152 mm 350pp 67 line diagrams 1 half-tone 4 colour plates 2 tables
Approximate Publication date: 9 September 2000
Main Subject Category: Applied mathematics, mathematical physics
Series: Cambridge Monographs on Mechanics

RICHARD WIENER University of Colorado, Colorado Springs
LEWIS PINSON University of Colorado, Colorado Springs

Fundamentals of OOP and Data Structures in Java

Description: Fundamentals of OOP and Data Structures in Java is a text for an introductory course on classical data structures. Part One of the book presents the basic principles of Object-Oriented Programming (OOP) and Graphical User Interface (GUI) programming with Java as the example language. Part Two introduces each of the major data structures with supporting, GUI-based laboratory programs designed to reinforce the basic concepts and principles of the text. These laboratories allow the reader to explore and experiment with the properties of each data structure. All source code for the laboratories is available on the web. By integrating the principles of OOP and GUI programming, this book takes the unique path of presenting the fundamental issues of data structures within the context of paradigms that are essential to today's professional software developer. The authors assume the reader has only an elementary understanding of Java and no experience with OOP.

Contents: Part I. Foundations: 1. Cornerstones of OO; 2. Objects; 3. Class construction; 4. Relationships between classes; 5. GUIs - basic concepts; 6. Implementing simple GUIs in Java; 7. Errors and exceptions; 8. Recursion; Part II. Data Structures: 9. Abstract data types; 10. Containers as abstract data types; 11. Stack and queue; 12. Application of stack; 13. Lists; 14. Trees, heaps and priority queues; 15. Search trees; 16. Hashing and sets; 17. Association and dictionary; 18. Sorting; Appendices.

ISBN, Binding, : 0521662206 Hardback 247 x 174 mm 472pp
Approximate Publication date: 10 September 2000
Main Subject Category: Computer science (general)