Recent Books by Tulane Mathematics Faculty

• A Concrete Approach to Division Rings by John Dauns, published in 1982 by Heldermann Verlag. This is the first book which treats all types of division rings. The first objective of this book is to develop the important basic facts quickly in as straightforward a manner as possible. Another aim is to develop the subject via examples. Many such concrete examples had to be invented and constructed, and are presented here for the first time.

• Modules and Rings by John Dauns, published in 1994 by Cambridge University Press. This book is suitable for use as a graduate text as well as a reference for ring and module theory, and is an outgrowth of Dauns's research and graduate teaching at Tulane.

• Abelian Group Theory: Proceedings of the 1987 Perth Conference held August 9-14, 1987, Laszlo Fuchs, Rudiger Gobel, Phillip Schultz, Editors.  This title was published in 1989 by the American Mathematical Society and is part of the Contemporary Mathematics series.

• Abelian Groups and Noncommutative Rings: A collection of Papers in Memory of Robert B. Warfield, Jr., Laszlo Fuchs...[et al.], Editors.  This title was published in 1992 by the American Mathematical Society and is part of the Contemporary Mathematics series.

• Modules Over Valuation Domains by Laszlo Fuchs and Luigi Salce, published in 1985 by Marcel Dekker. The book initiates a systematic, in-depth study of the theory of modules over commutative domains without finiteness conditions.  It represents a unique effort to combine ideas from abelian group thoery with techniques developed in module theory.

• Semigroups: An Introduction to the Structure Theory by Pierre Grillet, published in 1995 by Marcel Dekker. This reference/text gives concise coverage of the structure theory of semigroups.  It emphasizes finite, commutative, regular and inverse semigroups.

• Algebra by Pierre Grillet, published in 1999 by Wiley. Addressing the needs of students at the senior/graduate level as well as mathematicians in the market for a comprehensive reference, Algebra combines an exceptionally accessible discussion of the basics with a remarkable thorough and well organized treatment.

• Communative Semigroups by Pierre Grillet, pulished in 2001 by Kluwer Acemdemic Publishers.

• A Compendium of Continuous Lattices by Gerhard Gierz, Karl Hofmann, Klaus Keimel, Jimmie Lawson, Michael Mislove, and Dana Scott, published in 1980 by Springer-Verlag.  A second edition of this book is to appear at Cambridge University Press in 2001.

• Lie Groups, Convex Cones, and Semigroups by Joachim Hilgert, Karl Hofmann, and Jimmie Lawson, published in 1989 by Oxford University Press.

• The Structure of Compact Groups: A Primer for the Student, a Handbook for the Experts by Karl Hofmann and Sidney Morris, published in 1998 by W. de Gruyter.

• Poster Cartoons by Karl Heinrich Hofmann for the Mathematical Colloquium by Karl Hofmann, published in 1998 by Darmstadt University of Technology.

• Linear Algebra by Terry Lawson, published in 1996 by Wiley. Many Tulane students have been involved in using and refining preliminary versions of this text during the last few years. This text features close interplay between both theoretical and computational aspects of the subject. It is accompanied by Matlab laboratories which introduce students to Matlab as a tool to understand the main concepts of linear algebra as well as solve problems.

• Mathematical Foundations of Programming Semantics: 9th International Conference, New Orleans, LA, USA, April 7-10, 1993: Proceedings, Michael Mislove... [et al.], Editors.  This title was published in 1994 by Springer-Verlag.

• Elliptic Curves by Henry McKean and Victor Moll, published in 1997 by Cambridge University Press. This book combines three of the fundamental themes of mathematics: complex function theory, geometry and arithmetic.

• Lectures on the Topology of 3-Manifolds: An Introduction to the Casson Invariant by Nikolai Saveliev, published in 1999 by W. de Gruyter.  This book is part of the De Gruyter textbook series.

• The Anthropic Cosmological Principle by J.D. Barrow and Frank Tipler, published in 1988 by Oxford University Press. This book examines the question of mankind's place in the universe, exploring many scientific disciplines.  It offers insights into issues such as the nature of life, the search for extraterrestrial intelligence, and the history and fate of our universe.

• The Physics of Immortality: Modern Cosmology, God, and the Resurrection of the Dead by Frank Tipler, published in 1994 by Doubleday. This book is written for the general audience (although it contains a technical appendix) and made various best seller lists.

• Limit Theorems on Large Deviations for Markov Stochastic Processes by Alexander Wentzell, published in 1990 by Kluwer Academic Publishers.

• Random Perturbations of Dynamical Systems by M.I. Freidlin and Alexander Wentzell, published in 1998 by Springer-Verlag.  The authors' main tools are the large deviation theory, the central limit theorem for stochastic processes, and the averaging principle. The results allow for explicit calculations of the asymptotics of many interesting characteristics of the perturbed system, and most of these results are closely connected with PDE.

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