ALAN BEARDON
University of Cambridge

Algebra and Geometry

Description: This text gives a basic introduction, and a unified approach algebra and geometry. It covers the ideas of complex numbers, scalar and vector products, determinants, linear algebra, group theory, permutation groups, symmetry groups and various aspects of geometry including groups of isometries, rotations, and spherical geometry. The emphasis is always on the interaction between these topics, and each topic is constantly illustrated by using it to describe and discuss the other topics. Many of the ideas are developed gradually throughout the book. For example, the definition of a group is given in Chapter 1 so that it can be used in a discussion of the arithmetic of real and complex numbers; however, many of the properties of groups are given later, and at a time when the importance of the concept has become clear. The text is divided into short sections, with exercises at the end of each section.

Contents: Part I: 1. The real numbers; 2. The complex plane; 3. Vectors in three dimensions; 4. Spherical geometry; Part II: 5. Permutations and determinants; 6. Vector spaces; 7. Matrices; 8. Linear equations; 9. Eigenvectors; 10. Orthonormal bases of Euclidean space; Part III: 11. Groups; 12. Group actions; 13. The Mobius group; 14. Matrix groups.

Essential Information

ISBN, Binding, 0-521-81362-X Hardback
Approximate Publication Date: c.01/04/2003
Main Subject Category: Algebra

Market (Subject)
algebra, geometry

Level
undergraduate students

Bibliographic Details
40 line diagrams

Comparable titles: BURN/Groups, A Path to Geometry/1985 HB 0521 300371; PB 1987 0521 347939

YASUNORI FUJII / Nihon Fukushi University
AND KEI-ICHI MAEDA / Waseda University

The Scalar-Tensor Theory of Gravitation

Contents: Part I. Why a Scalar Field?; Part II. Brans-Dicke Model: 1. Lagrangian; 2. Field equations; 3. Weak-field approximation; 4. PPN approximation; 5. Fermion fields as matter; 6. Role of field mixing; Part III. Conformal Transformations: 7. What is a conformal transformation; 8. Nonminimal coupling; 9. Matter coupling; 10. Fermions; Part IV. Dilation Model: 11. Scale invariance and WEP violation; 12. Dilation; 13. Matter coupling; 14. Non-Newton gravity; Part V. Cosmology: 15. B-D model with a cosmological constant; 16. Analyses in E frame; 17. How to choose a conformal frame; 18. Further outlook; Appendices.

Essential Information
First Author: Fujii
Title: The Scalar-Tensor Theory of Gravitation
ISBN, Binding, 0-521-81159-7 Hardback
Approximate Publication Date: c.01/12/2003
Main Subject Category: Theoretical, mathematical physics
Series: Cambridge Monographs on Mathematical Physics

Market (Subject)
theoretical physics, gravitational physics, particle physics, cosmology, astrophysics, relativity, string theory, branes

Level
graduate students, academic researchers

Bibliographic Details
30 line diagrams

CLIFFORD JOHNSON
University of Durham

D-Brane Primer

Contents: Preface; 1. Relativistic strings; 2. Strings on circles and T-duality; 3. Focus on the worldsheet; 4. Worldvolume actions and background fields; 5. Superstrings and D-branes; 6. Worldvolume actions and curvature couplings; 7. Multiple D-branes and bound states; 8. D-branes, strong coupling and string duality; 9. D-branes and geometry I; 10. D-branes and geometry II; 11. D-branes and black holes; 12. Topics in M- and F-theory; 13. Focus on D-branes and gauge theory; 14. A collection of advanced topics; Appendix A: Some useful solutions and formulae; Appendix B: Some geometrical tools; Appendix C: Some gauge theory; Appendix D: Some supersymmetry; Appendix E: Some issues in gravity and supergravity.

Essential Information

ISBN, Binding, 0-521-80912-6 Hardback
Approximate Publication Date: c.01/04/2003
Main Subject Category: Theoretical, mathematical physics
Series: Cambridge Monographs on Mathematical Physics

Market (Subject)
theoretical physics, string theory, M-theory, D-branes, quantum gravity, particle physics, mathematical physics

Level
graduate students, academic researchers

Bibliographic Details
40 line diagrams 10 tables 50 exercises

Comparable titles: POLCHINSKI/String Theory/1998/Vol. 1 0521 633036; Vol. 2 0521 633044

JOHN C. MITCHELL

Concepts in Programming Languages

Description: For undergraduate and beginning graduate students, this textbook explains and examines the central concepts used in modern programming languages, such as functions, types, memory management, and control. The book is unique in its comprehensive presentation and comparison of major object-oriented programming languages. Separate chapters examine the history of objects, Simula and Smalltalk, and the prominent languages C++ and Java. The author presents foundational topics, such as lambda calculus and denotational semantics, in an easy-to-read, informal style, focusing on the main insights provided by these theories. Advanced topics include concurrency, concurrent object-oriented programming, program components, and inter-language interoperability. A chapter on logic programming illustrates the importance of specialized programming methods for certain kinds of problems. This book will give the reader a better understanding of the issues and tradeoffs that arise in programming language design, and a better appreciation of the advantages and pitfalls of the programming languages they use.

Contents: Preface; 1. Introduction; 2. Lisp: fuctions, recursion and lists; 3. Fundamentals; 4. The Algol family and ML; 5. Type systems and type inference; 6. Scope, function calls and storage management; 7. Control mechanisms in sequential languages; 8. Data abstraction and modularity; 9. Concepts in object-oriented languages; 10. History of objects: Simula and Smalltalk; 11. Objects for systems programming C++; 12. Java; 13. Concurrency and distributed programming; 14. Summary and conclusions; Index.

Essential Information

ISBN, Binding, 0-521-78098-5 Hardback
Approximate Publication Date: c.01/04/2003
Main Subject Category: Computer software

Market (Subject)
programming languages

Level
undergraduate students, graduate students

Bibliographic Details
54 line diagrams 8 half-tones 14 tables 140 exercises

Comparable titles: APPEL/Modern Compiler Implementation in Java/1998/0521 583888