EDITED BY JOHN ELLIS Conseil Européen de Recherches Nucléaires, Geneva
AND DANIELE AMATI SISSA, Trieste
Quantum Reflections
Description: This volume introduces some of the basic philosophical and conceptual questions underlying the formulation of quantum mechanics, one of the most baffling and far-reaching aspects of modern physics. The book consists of articles by leading thinkers in this field, who have been inspired by the profound work of the late John Bell. Some of the deepest issues concerning the nature of physical reality are debated, including the theory of physical measurements, how to test quantum mechanics, and how classical and quantum physics are related. This book will be of interest to students with a background in quantum physics, who wish to explore in more detail its philosophical aspects, practising scientists who are not content with blindly applying the rules of quantum mechanics, and anyone interested in gaining a deeper understanding of the philosophy of physics.
Contents:Foreword D. Amati and J. Ellis; Biographical notes on John S. Bell M. Bell; 1. On Bell Non-locality without probabilities: some curious geometry R. Penrose; 2. Reality in neutron interference experimants H. Rauch; 3. Testing Bell's inequalities A. Aspect; 4. Beyond conventional quantum mechanics G. Ghirardi; 5. Quantum effects in accelerator physics J. M. Leinaas; 6. New Aspects of Bell's theorem A. Shimony; 7. Does quantum mechanics carry the seeds of its own destruction? K. Gottfried; 8. John Bell and the moral aspect of quantum mechanics K. Gottfried and N. D. Mermin; 9. Remembering John Bell R. Jackiw.
Essential Information
ISBN, Binding, Price: 0521630088 Hardback
Approximate Publication date: 27 July 2000
247 x 174 mm 208pp 36 line diagrams 3 half-tones 1 table
Main Subject Category: Physics (general)
Contributors: M. Bell, R. Penrose, H. Rauch, A. Aspect, G. Ghirardi, J. M. Leinaas, A. Shimony, K. Gottfried, N. D. Mermin, R. Jackiw
MARKET (Subject) physics, philosophy of physics
LEVEL academic researchers, graduate students, undergraduate students
J. BILLINGHAM University of Birmingham
AND A. C. KING University of Birmingham
Wave Motion
Theory and Application
Description: Waves are a ubiquitous and important feature of the physical world, and throughout history it has been a major challenge to understand them. They can propagate on the surfaces of solids and of fluids; chemical waves control the beating of your heart; traffic jams move in waves down lanes crowded with vehicles. This introduction to the mathematics of wave phenomena is aimed at advanced undergraduate courses on waves for mathematicians, physicists or engineers. Some more advanced material on both linear and nonlinear waves is also included, thus making the book suitable for beginning graduate courses. The authors assume some familiarity with partial differential equations, integral transforms and asymptotic expansions as well as an acquaintance with fluid mechanics, elasticity and electromagnetism. The context and physics that underlie the mathematics is clearly explained at the beginning of each chapter. Worked examples and exercises are supplied throughout, with solutions available to teachers.
Contents:Introduction; Part I. Linear Waves: 1. Basic ideas; 2. Waves on a stretched string; 3. Sound waves; 4. Linear water waves; 5. Waves in elastic solids; 6. Electromagnetic waves; Part II. Nonlinear Waves: 7. The formation and propagation of shock waves; 8. Nonlinear water waves; 9. Chemical and electrochemical waves; Part III. Advanced Topics: 10. Burgers' equation; 11. Diffraction and scattering; 12. Solitons and the inverse scattering transform; Appendix. Useful mathematical formulas and physical data; Bibliography; Index.
Essential Information
ISBN, Binding, Price: 0521632579 Hardback
ISBN, Binding, Price: 0521634504 Paperback
228 x 152 mm 475pp 10 half-tones 3 colour plates 1 table 98 exercises 160 figures
Approximate Publication date: 24 July 2000
Main Subject Category: Applied mathematics, mathematical physics
Series: Cambridge Texts in Applied Mathematics
MARKET (Subject) applied mathematics, physics, engineering
LEVEL: undergraduate students, graduate students, academic researchers
TAI L. CHOW California State University
Mathematical Methods for Physicists
A Concise Introduction
Description: This text is designed for an intermediate-level, two-semester undergraduate course in mathematical physics. It provides an accessible account of most of the current, important mathematical tools required in physics these days. It is assumed that the reader has an adequate preparation in general physics and calculus. The book bridges the gap between an introductory physics course and more advanced courses in classical mechanics, electricity and magnetism, quantum mechanics, and thermal and statistical physics. The text contains a large number of worked examples to illustrate the mathematical techniques developed and to show their relevance to physics. The book is designed primarily for undergraduate physics majors, but could also be used by students in other subjects, such as engineering, astronomy and mathematics.
Contents:Preface; 1. Vector and tensor analysis; 2. Ordinary differential equations; 3. Matrix algebra; 4. Fourier series and integrals; 5. Linear vector spaces; 6. Functions of a complex variable; 7. Special functions of mathematical physics; 8. Calculus of variation; 9. The Laplace transformation; 10. Partial differential equations; 11. Simple linear integral equations; 12. Elements of group theory; 13. Numerical methods; 14. Introduction of probability theory; Appendix 1. Preliminaries; Appendix 2. Determinants; Appendix 3. Table of functions; References.
Essential Information
ISBN, Binding, Price: 0521652278 Hardback
ISBN, Binding, Price: 0521655447 Paperback
247 x 174 mm 608pp 113 line diagrams 316 exercises
Approximate Publication date: 21 July 2000
Main Subject Category: Physics (general)
MARKET (Subject) physics, engineering
LEVEL undergraduate students, graduate students
VLADIMIR GRIBOV / AND JULIA NYIRI
Hungarian Academy of Science, Budapest
Quantum Electrodynamics
Gribov Lectures on Theoretical Physics
Description: This book provides an accessible introduction to quantum electrodynamics. Based on lectures on quantum electrodynamics given by the highly original and distinguished physicist V. N. Gribov, the aim of the book is to present the theory of quantum electrodynamics in the shortest and clearest way for applied use. A distinctive feature of Gribov's approach is the systematic use of the Green function method which allows a straightforward generalization to the cases of strong and weak interactions. The book starts with an introduction that uses the basics of quantum mechanics to gently introduce the reader into the world of propagation functions and particle interactions. The following chapter then focusses on spin 1/2 particles. The text goes on to discuss symmetries, the CPT theorem, causality, and unitarity followed by a detailed presentation of renormalisation theory. A final chapter looks at difficulties with the theory and possible routes to their resolution.
Contents:1. Particles and their interactions in relativistic quantum mechanics; 2. Particles with spin 1/2. Basic quantum electrodynamic processes; 3. General properties of the scattering amplitude; 4. Renormalization. Radiative corrections; 5. Difficulties of quantum electrodynamics.
Essential Information
ISBN, Binding, Price: 0521662281 Hardback
247 x 174 mm 240pp 286 line diagrams
Approximate Publication date: 7 August 2000
Main Subject Category: Nuclear physics, cosmology
Series: Cambridge Monographs on Particle Physics, Nuclear Physics and Cosmology, 13
MARKET (Subject) particle physics, quantum field theory, nuclear physics
LEVEL academic researchers, graduate students
FAISAL HOQUE
e-Enterprise
Business Models, Architecture, and Components
Description: E-commerce is still a new and volatile industry, but each day a new enterprise pops up promising to be the next big thing. The real challenge is to understand what is involved in using the Internet as a means to building a successful business. Rather than coming up with marketing hooks and product innovations, e-Enterprise: Business Models, Architecture, and Components demystifies e-commerce and describes how a business should determine its own future by taking the next step and becoming an agile 'e-enterprise'. Faisal Hoque introduces the concept of high-level abstraction of business processes and application functionality that result in reusable business and technology components. He provides a methodology that is critical for all business leaders and technologists trying to build an enterprise on the Internet.
Contents:Part I. E-enterprise and E-business: 1. From e-commerce to e-enterprise; Part II. E-business Models: 2. e-business application Models; 3. The b-to-c application model; 4. The b-to-b application model; Part III. Components for E-enterprise Architectures: 5. E-enterprise architecture; 6. E-enterprise business components; 7. E-enterprise technology components; Part IV. E-enterprise Methodology: 8. Building e-enterprises.
Essential Information
ISBN, Binding, Price: 052177487X Paperback
234 x 177 mm 300pp
Approximate Publication date: 19 January 2000
Main Subject Category: Object Technology
Series: Breakthroughs in Application Development, 2
MARKET (Subject) computer software, computer systems, Information Technology, business and management
LEVEL professionals
JEAN-PHILIPPE BOUCHAUD Commissariat a l'Energie Atomique, Saclay
AND MARC POTTERS Science & Finance
Theory of Financial Risks
From Statistical Physics to Risk Management
Description: This book summarizes recent theoretical developments inspired by statistical physics in the description of the potential moves in financial markets, and its application to derivative pricing and risk control. The possibility of accessing and processing huge quantities of data on financial markets opens the path to new methodologies where systematic comparison between theories and real data not only becomes possible, but mandatory. This book takes a physicist's point of view to financial risk by comparing theory with experiment. Starting with important results in probability theory, the authors discuss the statistical analysis of real data, the empirical determination of statistical laws, the definition of risk, the theory of optimal portfolio, and the problem of derivatives (forward contracts, options). This book will be of interest to physicists interested in finance, quantitative analysts in financial institutions, risk managers and graduate students in mathematical finance.
Contents:1. Probability theory: basic notations; 2. Statistics of real prices; 3. Extreme risks and optimal portfolios; 4. Futures and options: fundamental concepts; 5. Options: some more specific problems; Glossary.
Essential Information
ISBN, Binding, Price: 0521782325 Hardback
247 x 174 mm 250pp 55 line diagrams 4 tables
Approximate Publication date: 25 September 2000
Main Subject Category: Physics - condensed matter
MARKET (Subject) physics (condensed matter), econometrics, econophysics, economics
LEVEL academic researchers, professionals, graduate students
R. P. BURN University of Exeter
Numbers and Functions
Steps to Analysis 2nd edition
Description: The transition from studying calculus in schools to studying mathematical analysis at university is notoriously difficult. In this new edition of Numbers and Functions, Dr Burn invites the student reader to tackle each of the key concepts in turn, progressing from experience through a structured sequence of several hundred problems to concepts, definitions and proofs of classical real analysis. The sequence of problems, which all have solutions supplied, draws students into constructing definitions and theorems for themselves. This natural development is informed and complemented by historical insight. The novel approach to rigorous analysis offered here is designed to enable students to grow in confidence and skill and thus overcome the traditional difficulties.
Contents:1. The counting numbers and mathematical induction; 2. Order: arithmetic with inequalities; 3. Sequences: a first bite at infinity; 4. Completeness: what the rational numbers lack; 5. Series: infinite sums; 6. Functions and continuity: neighbourhoods, limits of functions; 7. Continuity and completeness: functions on intervals; 8. Derivatives: tangents; 9. Differentiation and completness: mean value theorems, Taylor's theorem; 10. Integration: the fundamental theorem of calculus; 11. Indices and circle functions; 12. Sequences of functions; Appendices.
Essential Information
ISBN, Binding, Price: 0521788366 Paperback
228 x 152 mm 350pp
Approximate Publication date: 11 August 2000
Main Subject Category: Mathematics - analysis, probability
MARKET (Subject) mathematics (elementary analysis)
LEVEL undergraduate students
EDITED BY J. HOWIE Heriot-Watt University M. D. ATKINSON Heriot-Watt University
N. D. GILBERT University of St Andrews S. A. LINTON University of St Andrews
AND E. F. ROBERTSON University of St Andrews
Computational Geometric Aspects of Modern Algebra
Description: This book comprises a collection of papers from participants at the IMCS Workshop on Computational and Geometric Aspects of Modern Algebra, held at Heriot-Watt University in 1998. Written by leading researchers, the papers cover a wide range of topics in the vibrant areas of word problems in algebra and geometric group theory. This book represents a timely record of recent work and provides an indication of the key areas of future development.
Contents:Forword; Participants; 1. Lie methods in growth of groups and groups of finite width Laurent Bartholdi and Rostislav I. Grigorchuk; 2. Translation numbers of groups acting on quasiconvex spaces Gregory R. Conner; 3. On a term rewriting system controlled by sequences of integers Ales Drápal; 4. On certain finite generalized tetrahedron groups M. Edjvet, G. Rosenberger, M. Stille and R. M. Thomas; 5. Efficient computation in word-hyperbolic groups David B. A. Epstein and Derek F. Holt; 6. Constructing hyperbolic manifolds B. Everitt and C. Maclachlan; 7. Computing in groups with exponent six George Havas, M. F. Newman, Alice C. Niemeyer and Charles C. Sims; 8. Rewriting as a special case of non-commutative Gröbner basis theory Anne Heyworth; 9. Detecting 3-manifold presentations Cynthia Hog-Angeloni; 10. In search of a word with special combinatorial properties Stepán Holub; 11. Cancellation diagrams with non-positive curvature Günther Huck and Stephan Rosebrock; 12. Some applications of prefix-rewriting in monoids, groups and rings Klaus Madlener and Friedrich Otto; 13. Verallgemeinerte biasinvarianten und ihre berechnung Wolfgang Metzler; 14. On groups which act freely and properly on finite dimensional homotopy spheres Guido Mislin and Olympia Talelli; 15. On confinal dynamics of rooted tree automorphisms V. V. Nekrashevych and V. I. Suchansky; 16. An asymptotic invariant of surface groups Amnon Rosenmann; 17. A cutpoint tree for a continuum Eric L. Swenson; 18. Generalised triangle groups of type (2, m, 2) Alun G. T. Williams.
Essential Information
ISBN, Binding, Price: 0521788897 Hardback
228 x 152 mm 288pp 26 line diagrams
Approximate Publication date: 10 May 2000
Main Subject Category: Algebra
Series: London Mathematical Society Lecture Note Series
Contributors: Laurent Bartholdi, Rostislav I. Grigorchuk, Gregory R. Conner, Ales Drápal, M. Edjvet, G. Rosenberger, M. Stille, R. M. Thomas, David B. A. Epstein, Derek F. Holt, B. Everitt, C. Maclachlan, George Havas, M. F. Newman, Alice C. Niemeyer, Charles C. Sims, Anne Heyworth, Cynthia Hog-Angeloni, Stepán Holub, Günther Huck, Stephan Rosebrock, Klaus Madlener, Friedrich Otto, Wolfgang Metzler, Guido Mislin, Olympia Talelli, V. V. Nekrashevych, V. I. Suchansky, Amnon Rosenmann, Eric L. Swenson, Alun G. T. Williams
MARKET (Subject) mathematics (algebra, geometry)
LEVEL academic researchers, graduate students
F. LARSEN University of Copenhagen
N. J. LAUSTSEN AND M. RORDAM University of Leeds
An Introduction to K-Theory for C*-Algebras
Description: Over the last 25 years K-theory has become an integrated part of the study of C*-algebras. This book gives a very elementary introduction to this interesting and rapidly growing area of mathematics. The fundamental property of K-theory is the association of a pair of Abelian groups, K0(A) and K1(A), to each C*-algebra A. These groups reflect the properties of A in many ways. In this book the authors cover the basic properties of the functors K0 and K1 and their interrelationship. In particular, the Bott periodicity theorem is proved (Atiyah's proof), and the six-term exact sequence is derived. Applications of the theory include Elliott's classification theorem for AF-algebras, and it is shown that each countable pair of Abelian groups arises as the K-groups of some C*-algebra. The theory is well illustrated with 120 exercises and examples, making the book ideal for beginning graduate students working in functional analysis, especially operator algebras, and for researchers from other areas of mathematics who want to learn about this subject.
Contents:1. C*-algebra theory; 2. Projections and unitary elements; 3. The K0-group of a unital C*-algebra; 4. The functor K0; 5. The ordered Abelian group K0(A); 6. Inductive Limit C*-algebra; 7. Classification of AF-algebras; 8. The functor K1; 9. The index map; 10. The higher K-functors; 11. Bott periodicity; 12. The six-term exact sequence; 13. Dimension drop algebras.
Essential Information
ISBN, Binding, Price: 0521783348 Hardback .
ISBN, Binding, Price: 0521789443 Paperback
228 x 152 mm 250pp
Approximate Publication date: 10 August 2000
Main Subject Category: Mathematics - analysis, probability
Series: London Mathematical Society Student Texts
MARKET (Subject) mathematics (functional analysis)
LEVEL graduate students, academic researchers