P.C. Eklof, Department of Mathematics, University of California
Almost Free Modules
Set-theoretic Methods,Revised Edition
North-Holland Mathematical Library, 65
Description
This book provides a comprehensive exposition of the use of set-theoretic methods in abelian group theory, module theory, and homological algebra, including applications to Whitehead's Problem, the structure of Ext and the existence of almost-free modules over non-perfect rings. This second edition is completely revised and udated to include major developments in the decade since the first edition. Among these are applications to cotorsion theories and covers, including a proof of the Flat Cover Conjecture, as well as the use of Shelah's pcf theory to constuct almost free groups. As with the first edition, the book is largely self-contained, and designed to be accessible to both graduate students and researchers in both algebra and logic. They will find there an introduction to powerful techniques which they may find useful in their own work.
Audience
University Mathematical Libraries, Mathematics Departments and Research Institutes.
Contents
I. ALGEBRAIC PRELIMINARIES
II. SET THEORY
III. SLENDER MODULES
IV. ALMOST FREE MODULES
V. PURE INJECTIVE MODULES
VI. MORE SET THEORY
VII. ALMOST FREE MODULES REVISISTED (IV, VI)
VIII. 1-SEPARABLE GROUPS (VI, VII.0,1)
IX. QUOTIENTS OF PRODUCTS OF Z (III, IV, V)
X. ITERATED SUMS AND PRODUCTS (III)
XI. TOPOLOGICAL METHODS (X, IV)
XII. AN ANALYSIS OF EXT (VII, VIII.1)
XIII. UNIFORMIZATION (XII)
XIV. THE BLACK BOX AND ENDOMORPHISM RINGS(V, VI)
XV. SOME CONSTRUCTIONS IN ZFC (VII, VIII, XIV)
XVI. COTORSION THEORIES, COVERS AND SPLITTERS(IX, XII.1, XIV)
XVII. DUAL GROUPS (IX, XI, XIV)
Year 2002
Hardbound ISBN: 0-444-50492-3
620 pages
Edited by James P. Crutchfield and Peter Schuster
Evolutionary Dynamics
Exploring the Interplay of Selection, Accident, Neutrality, and Function
CONTENTS
Preface: Dynamics of Evolutionary Processes, James P. Crutchfield and Peter Schuster
MACROEVOLUTION
The Sloshing Bucket: How the Physical Realm Controls Evolution, Niles Eldridge
Developmental Morphospaces and Evolution, Gunther J. Eble
The Dynamics of Large Biological Systems: A Statistical Physics View of Macroevolution, Stephan Bornholdt
EPHOCHAL EVOLUTION
On the Population Genetics of Punctuation, Aviv Bergman and Marucs W. Feldman
When Evolution is Revolution, James P. Crutchfield
Evolution and Speciation in a Hyperspace: The Roles of Neutrality, Selection, Mutation, and Random Drift, Sergey Gavrilets
Molecular Insights into Evolution of Phenotypes, Peter Schuster
POPULATION GENETICS, DYNAMICS, AND OPTIMIZATION
The Nearly Neutral Theory with Special Reference to Interactions at the Molecular Level, Tomoko Ohta
Spectral Landscape Theory, Peter F. Stadler
Quasispecies Evolution on Dynamic Fitness Landscapes, Nigel Snoad and Martin Nilsson
Recombination and Bistability in Finite Populations, Lionel Barnett
EVOLUTION OF COOPERATION
On the Dynamic Persistence of Cooperation: How Lower Individual Fitness Induces Higher Survivability, Guy Sella and Michael Lachmann
Coevolution of Strategies in n-Person Prisoner's Dilemma, Kristian Lindgren and Johann Johansson
Evolutionary Design of Collective Computation in Cellular Automata, James P. Crutchfield, Melanie Mitchell, and Rajarshi Das
Index
480 pp.; 107 figures; 6-1/8 x 9-1/4; 0-19-514265-9 softcover
480 pp.; 107 figures; 6-1/8 x 9-1/4; 0-19-514264-0 hardcover
Yu.Ya. Belov
Inverse Problems for Partial Differential Equations
Inverse and Ill-Posed Problems Series
This monograph in the Inverse and Ill-Posed Problems Series is devoted to identification problems of coefficients in equations of mathematical physics. It investigates the existence and uniqueness of the solutions for identification coefficient problems in parabolic and hyperbolic equations and equation systems of composite type. It includes a study on the problems with Cauchy data and equations in which the Fourier transform with respect to the chosen variable is supposed to occur. Differential properties of solutions for direct problems and their behaviour under great values of time are studied on the basis of solution properties for direct problems. In addition, identification problems with one or two unknown coefficients are investigated.
This monograph will be of interest to specialists in mathematical physics, differential equations and inverse problems.
2002; viii+212 pages
ISBN 90-6764-358-0
Contents
AUXILIARY INFORMATION FROM FUNCTIONAL ANALYSIS AND THEORY OF DIFFERENTIAL EQUATIONS
THE WEAK APPROXIMATION METHOD
IDENTIFICATION PROBLEMS FOR PARABOLIC EQUATIONS WITH CAUCHY DATA
THE IDENTIFICATION OF THE SOURCE FUNCTION FOR A SYSTEM OF COMPOSITE TYPE AND PARABOLIC EQUATION. THE BEHAVIOR OF THE PROBLEM'S SOLUTION UNDER #TEX2HTML_WRAP_INLINE11708#
THE PROBLEM OF DETERMINING THE COEFFICIENT IN A PARABOLIC EQUATION AND SOME PROPERTIES OF ITS SOLUTION
TWO UNKNOWN COEFFICIENTS OF A PARABOLIC TYPE EQUATION
SOME INVERSE BOUNDARY PROBLEMS
Editors: V.F. Kolchin, V.Ya. Kozlov, V.V. Mazalov, Yu.L. Pavlov, Yu.V. Prokhorov
Probabilistic Methods in Discrete Mathematics
Proceedings of the Fifth International Petrozavodsk Conference
This proceedings volume contains the plenary lectures and selected contributed papers which were given at the Fifth International Petrozavodsk Conference on Probabilistic Methods in Discrete Mathematics, 1-6 June 2000, Petrozavodsk, Russia. The themes of the conference covered almost all areas of discrete mathematics, such as probabilistic problems of combinatorics, statistical problems of discrete mathematics, theory of random graphs, systems of random equations in finite fields, and questions on information security. A considerable part of the lectures dealt with game theory and mathematical statistics.
The papers presented in this volume reflect the current state-of-the-art in probabilistics discrete mathematics and contain information of value and interest to those who are working in theoretical and applied areas of discrete mathematics.
2002; x+390 pages; ISBN 90-6764-359-9
edited by V G Gurzadyan (University of Rome "La Sapienza", Italy)
& A G Sedrakian (Yerevan Physics Institute, Armenia)
FROM INTEGRABLE MODELS TO GAUGE THEORIES
A Volume in Honor of Sergei Matinyan
This collection of twenty articles in honor of the noted physicist and mentor Sergei Matinyan focuses on topics that are of fundamental importance to high-energy physics, field theory and cosmology. The topics range from integrable quantum field theories, three-dimensional Ising models, parton models and tests of the Standard Model, to black holes in loop quantum gravity, the cosmological constant and magnetic fields in cosmology. A pedagogical essay by Lev Okun concentrates on the problem of fundamental units. The articles have been written by well-known experts and are addressed to graduate students and researchers.
Contents:
3D Ising Model on Dual BCC Lattice: The Sign-Factor (J Ambjorn et al.)
On Algebra of the Baxter Q-Operators (A A Belavin & R A Usmanov)
Aspect of Locality in the Form Factor Program (O A Castro-Alvaredo & A Fring)
On the Origin of Symmetries (J L Chkareuli)
Generalization of Magnetic Fields in Cosmology (A D Dolgov)
The Coefficients of the Seiberg–Witten Prepotential as Interaction Numbers (R Flume et al.)
On the Cosmological Constant and Vacuum Energy (V G Gurzadyan & S S Xue)
Topics in Parton Model (O V Kancheli)
Bjorken Asymptotics of QCD and Integrable Systems (D Karakhanyan & R Kirschner)
Entropy and Area of Black Holes in Loop Quantum Gravity (I B Khriplovich)
Statistical Ensembles and Density of States (V Kostrykin & R Schrader)
The Anthropic Principle Revisted (B Mueller)
Fundamental Units (L B Okun)
Structure Constant of Boundary Operators in Liouville Field Theory (B Ponsot & J Teschner)
Winding Number Versus Chern-Pontryagin Charge (T Tchrakian)
Magnetically Induced Vacuum-Energy Releasing (S S Xue)
and other papers
Readership: High energy physicists and mathematical researchers.
300pp (approx.) Pub. date: Scheduled Summer 2002
ISBN 981-02-4927-6