Solomon Feferman, Department of Mathematics, Stanford University, John W. Dawson, Department of Mathematics, Penn State University, Warren Goldfarb, Department of Philosophy, Harvard University, and Charles Parsons, Department of Philosophy, Harvard University

Kurt Godel: Collected Works: Volumes IV and V (2 Vol Set) - Selected Correspondence, A-Z

(Hardback)
0-19-856602-6
Publication date: 6 May 2004
24 half tone, 3 line, 234mm x 156mm

Fourth and fifth volume of well-acclaimed series
Only complete editions of Godels work available in English
Contains translated material and original material

Description

Kurt Godel was the most outstanding logician of the 20th century and a giant in the field. These books are part of a five volume set that makes available all of Godels writings. The first three volumes consist of the papers and essays of Godel. These final two volumes of the set deal with Godel's correspondence with his contemporary mathematicians, the fourth volume consisting of material from correspondents from A-G and the fifth from H-Z.


Readership: Students and researchers of mathematics, philosophy, computer science, and the history of mathematics. General interest readers enthusiastic about any of the above.


Michele Maggiore, Department of Theoretical Physics, University of Geneva, Switzerland

A modern introduction to quantum field theory

(Hardback)0-19-852073-5
(Paperback)0-19-852074-3
Publication date: January 2005
304 pages, 61 b/w line drawings, 246mm x 189mm
Series: Oxford Master Series in Physics

Very elementary and pedagogical approach to quantum field theory.
Covers modern developments at level appropriate for advanced undergraduates.
Contains unique range of topics on current quantum field theory.
Provides clear and accurate explanations.
Includes more advanced topics for graduate students and researchers.

Description

Quantum field theory has undergone extraordinary developments in the last few decades and permeates many branches of modern research such as particle physics, cosmology, condensed matter, statistical mechanics and critical phenomena. This book introduces the reader to the modern developments in a manner which assumes no previous knowledge of quantum field theory.


Readership: Primary: final-year undergraduates specialising in high-energy and condensed matter physics. Secondary: graduate students and researchers working in theoretical physics (especially particles, but also condensed matter, statistical mechanics, cosmology and astrophysics) or experimental particle physics.

Contents

1 Introduction
2 Lorentz and Poincare symmetries in quantum field theory
3 Classical field theory
4 Quantization of free fields
5 Perturbation theory and Feynman diagrams
6 Cross sections and decay rates
7 Quantum electrodynamics
8 The low-energy limit of the electroweak theory
9 Path integral quantization
10 Non-Abelian gauge theories
11 Spontaneous symmetry breaking

Jean Zinn-Justin, Head of Dapnia/DSM/CEA-Saclay, France

Path Integrals in Quantum Mechanics

(Hardback)
0-19-856674-3
Publication date: January 2005
352 pages, 13 b/w line drawings, 240mm x 168mm
Series: Oxford Graduate Texts

Up-to-date, offering modern view on quantum mechanics.
Provides deeper understanding of quantum field theory and its applications.
Presents well-established material in a coherent way.
Written in a very pedagogical style by internationally renowned author.

Description
'... an exceptionally clear and thorough book ... should be about as good a book on the subject as one could imagine.' -John Chalker, University of Oxford
'... very well written ... and not only pedagogically useful, but also useful to the experienced practitioner.' -Randall Kamien, University of Pennsylvania

The mathematical formalism based on path integrals, as introduced by Feynman, has changed our view about quantum mechanics. The modern theory of fundamental interactions at the microscopic level (quantum field theory) is hardly comprehensible without path integrals. Moreover, path integrals have allowed us to establish a direct mathematical relation between the theory of ordinary phase transitions and quantum field theory. The goal of this book is to introduce students to this topic within the context of ordinary quantum mechanics and non-relativistic many-body theory, before facing the problems associated with the more involved quantum field theory formalism.

Readership: Primary: Graduate students and lecturers in theoretical physics, in particular in particle and statistical physics. Secondary: mathematicians.

Albert Einstein

The Meaning of Relativity, Fifth Edition:
Including the Relativistic Theory of the Non-Symmetric Field

With a new introduction by Brian Greene
Paper | December 2004 | ISBN: 0-691-12027-7
192 pp. | 5 x 8 | 6 line illus.

In 1921, five years after the appearance of his comprehensive paper on general relativity and twelve years before he left Europe permanently to join the Institute for Advanced Study, Albert Einstein visited Princeton University, where he delivered the Stafford Little Lectures for that year. These four lectures constituted an overview of his then controversial theory of relativity. Princeton University Press made the lectures available under the title The Meaning of Relativity, the first book by Einstein to be produced by an American publisher. As subsequent editions were brought out by the Press, Einstein included new material amplifying the theory. A revised version of the appendix "Relativistic Theory of the Non-Symmetric Field," added to the posthumous edition of 1956, was Einstein's last scientific paper.

Brian Greene is Professor of Physics and of Mathematics at Columbia University. He is the author of the best-selling The Elegant Universe and, most recently, The Fabric of the Cosmos.

Review:

"A condensed unified presentation intended for one who has already gone through a standard text and digested the mechanics of tensor theory and the physical basis of relativity. Einstein's little book then serves as an excellent tying-together of loose ends and as a broad survey of the subject."--Physics Today

Marius Zimand , Townson University, Townson, USA.

Computational Complexity: A Quantitative Perspective

Included in series
North-Holland Mathematics Studies, 196

Description

There has been a common perception that computational complexity is a theory of "bad news" because its most typical results assert that various real-world and innocent-looking tasks are infeasible. In fact, "bad news" is a relative term, and, indeed, in some situations (e.g., in cryptography), we want an adversary to not be able to perform a certain task. However, a "bad news" result does not automatically become useful in such a scenario. For this to happen, its hardness features have to be quantitatively evaluated and shown to manifest extensively. The book undertakes a quantitative analysis of some of the major results in complexity that regard either classes of problems or individual concrete problems. The size of some important classes are studied using resource-bounded topological and measure-theoretical tools. In the case of individual problems, the book studies relevant quantitative attributes such as approximation properties or the number of hard inputs at each length. One chapter is dedicated to abstract complexity theory, an older field which, however, deserves attention because it lays out the foundations of complexity. The other chapters, on the other hand, focus on recent and important developments in complexity. The book presents in a fairly detailed manner concepts that have been at the centre of the main research lines in complexity in the last decade or so, such as: average-complexity, quantum computation, hardness amplification, resource-bounded measure, the relation between one-way functions and pseudo-random generators, the relation between hard predicates and pseudo-random generators, extractors, derandomization of bounded-error probabilistic algorithms, probabilistically checkable proofs, non-approximability of optimization problems, and others. The book should appeal to graduate computer science students, and to researchers who have an interest in computer science theory and need a good understanding of computational complexity, e.g., researchers in algorithms, AI, logic, and other disciplines.

Audience

University libraries, researchers in the field theory of computation, computational complexity, algorithms, and al graduate students in computer science.

Contents

Contents Preface. 1. Preliminaries. 2. Abstract complexity theory. 3. P, NP, and E. 4. Quantum computation. 5. One-way functions, pseudo-random generators. 6. Optimization problems. A. Tail bounds. Bibliography. Index.

Hardbound, ISBN: 0-444-82841-9, 352 pages, publication date: 2004

Martin Buntinas - Loyola University of Chicago
Gerald M. Funk - Loyola University of Chicago

Statistics for The Sciences

0-534-38774-8
564 pages Case Bound 8 x 9 1/4

Addressing a growing need in the statistics marketplace, this new text is the only introductory statistics book designed specifically for students majoring in the sciences. STATISTICS FOR THE SCIENCES lets students see the beauty of statistics using calculus, and contains applications directly tied to natural and physical sciences. No longer will science majors have to learn from texts with applications that are not relevant to their studies. In STATISTICS FOR THE SCIENCES, the math is at the right level, and the exercises and examples appeal to students majoring in natural and physical sciences.

Features

This calculus-based text helps science majors see the beauty of statistics through applications geared toward the sciences. The math is at an appropriate level and the applications are relevant--an important boost to student motivation and ease of understanding.

The authors capitalize on students' math ability through integration of computer-generated graphs and simulations to illustrate concepts.

The book emphasizes data analysis and pays careful attention to the assumptions behind statistical inference. Data sets are available to students online at StatLib, hosted by the Statistics Department at Carnegie Mellon University, and in particular, the Data and Story Library (DASL). Additional data sets are available online through various federal agencies.

Section Exercises help students think about the topic at hand, often extending an earlier example or providing commentary on a related article.

Review Exercises include both standard "drill" problems as well as more extended applications problems, requiring students to incorporate material from the chapter into previously learned material. Some of the exercises require calculus-related skills (such as sketching distribution functions and sketching power curves).

There are programmable calculator exercises and class labs.

Editors
Jesus Garcia Falset@/@Enrique Llorens Fuster@/ Brailey Sims

Fixed Point Theory and Applications,
Valencia 2003.

ISBN-4-946552-13-8
August 2004

Contents

On oscillation of nonlinear delay equations of population dynamics
Leonid Berezansky, Elena Braverman & Lev Idels

Comparing Krasnoselskij and Mann iterative methods for Lipschitzian generalized pseudo-contractions
Vasile Berinde

A universal infinite-dimensional modulus with applications in Fixed Point Theory
Tomas Dominguez Benavides and Beatriz Gavira

Stability of the Fixed Point Property in M-Abstract Banach Lattices
Tomas Dominguez Benavides and M. Angeles Japon Pineda

A Survey on Nonexpansive Selections of Metric Projection
Rafael Espinola and Genaro Lopez

(r,k,l) -Somewhat uniformly noncreasy Banach spaces
Helga Fetter and Berta Gamboa de Buen

Strong convergence theorems by a hybrid method for nonexpansive mappings and inverse-strongly-monotone mappings
Hideaki Iiduka and Wataru Takahashi

Fixed point properties of some sets inl 1
Wieslawa Kaczor and Stanislaw Prus

Geodesic Geometry and Fixed Point Theory II
W.A. Kirk

Bounds on iterations of asymptotically quasi-nonexpansive mappings
Ulrich Kohlenbach and Branimir Lambov

Some Geometrical Properties and Fixed Point Theorems in Modular Spaces
Poom Kumam

Some remarks concerning D-Metric Spaces
Zead Mustafa and Brailey Sims

The compact AR problem and related topics
Sehie Park

Multivalued Picard and weakly Picard operators
Adrian Petrusel and Ioan A. Rus

Invariant measures for generalized random dynamical systems
Arcady Ponosov and Eugene Stepanov

Generic existence of small invariant sets
Simeon Reich and Alexander J. Zaslavski

Relaxed Projections, Averaged Mappings and Image Recovery
Hong-Kun Xu