EDWARD M. REINGOLD
AND NACHUM DERSHOWITZ

Calendrical Tabulations, 1900-2200

Description: The momentous task of assembling such a comprehensive and accurate collection of calendars could only have been achieved by the authors of the definitive text on calendar algorithms, Calendrical Calculations. Using the algorithms outlined in their earlier book, Professors Reingold and Dershowitz have achieved the near-impossible task of simultaneously displaying the date on thirteen different calendars over a three-hundred year period. Represented here are the Gregorian, ISO, Hebrew, Chinese, Coptic, Ethiopic, Persian, Hindu lunar, Hindu solar, and Islamic calendars; another three are easily obtained from the tables with minimal arithmetic ( J.D., R.D. and Julian). The tables also include phases of the moon, dates of solstices and equinoxes, and religious and other special holidays for all the calendars shown. Why produce a book of tables in the computer age? Because computer programs can cover only one or two calendars, have a limited range, are of dubious accuracy, are difficult for a non-expert to use, or work only on a small subset of computers. This set of beautifully-produced tables will be of use for centuries by anyone with an interest in calendars and the societies that produce them. It should also prove an invaluable reference tool for astronomers and genealogists.

Contents: Preface; Reading the tables; Summary of warnings; Acknowledgments; References; Calendars, 1900・200.

Essential Information

ISBN, Binding, 0-521-78253-8 Hardback
Approximate Publication Date: c.01/05/2002
Main Subject Category: Computer science (general)

Market (Subject)
computer science, general science, astronomy, calendar studies, religious studies

Level
professionals, academic researchers, general readers

Bibliographic Details
300 tables

Comparable titles: DERSHOWITZ and REINGOLD/Calendrical Calculations/1997/HB 0521 564131; PB 0521 564743 REINGOLD and DERSHOWITZ/Calendrical Calculations: the millennium edition/2001/HB 0521 771676; PB 0521 777526

R. D. TENNENT

Specifying Software
A Hands-On Introduction

Description: Provides an innovative hands-on introduction to techniques for specifying the behaviour of software components. It is primarily intended for use as a text book for a course in the 2nd or 3rd year of Computer Science and Computer Engineering programs, but it is also suitable for self-study. Using this book will help the reader improve programming skills and gain a sound foundation and motivation for subsequent courses in advanced algorithms and data structures, software design, formal methods, compilers, programming languages, and theory. The presentation is based on numerous examples and case studies appropriate to the level of programming expertise of the intended readership. The main topics covered are techniques for using programmer-friendly assertional notations to specify, develop, and verify small but non-trivial algorithms and data representations, and the use of state diagrams, grammars, and regular expressions to specify and develop recognizers for formal languages.

Contents: Introduction; Part A: 1. Specifying algorithms; 2. Verifying algorithms: basic techniques; 3. Verifying algorithms: some examples; 4. Additional techniques and examples; Part B: 5. Case study: a simple data base; 6. Examples of data representations; Part C. Language Recognizers: 7. Basic concepts; 8. State-transition diagrams; 9. Regular languages; 10. Context-free languages; 11. Parsing; 12. Unimplementable specifications; Hints for selected exercises; Index.

Essential Information

ISBN, Binding, 0-521-80814-6 Hardback
ISBN, Binding, 0-521-00401-2 Paperback
Approximate Publication Date: c.01/04/2002
Main Subject Category: Computer software

Market (Subject)
computer science, software engineering

Level
undergraduate students

Bibliographic Details
29 line diagrams 1 table 215 exercises

Comparable titles: JACKY/The Way of Z/1997/0521 559766

A. ZYGMUND
FOREWORD BY ROBERT FEFFERMAN

Trigonometric Series , 3rd Edition

Description: Professor Zygmund's Trigonometric Series, first published in Warsaw in 1935, established itself as a classic. It presented a concise account of the main results then known, but was on a scale which limited the amount of detailed discussion possible. A greatly enlarged second edition published by Cambridge in two volumes in 1959 took full account of developments in trigonometric series, Fourier series and related branches of pure mathematics since the publication of the original edition. The two volumes are here bound together with a foreword from Robert Fefferman outlining the significance of this text. Volume I, containing the completely rewritten material of the original work, deals with trigonometric series and Fourier series. Volume II provides much material previously unpublished in book form.

Contents: Part I: 1. Trigonometric series and Fourier series, auxilliary results; 2. Fourier coefficients, elementary theorems on the convergence of S[f] and \tilde{S}[f]; 3. Summability of Fourier series; 4. Classes of functions and Fourier series; 5. Special trigonometric series; 6. The absolute convergence of trigonometric series; 7. Complex methods in Fourier series; 8. Divergence of fourier series; 9. Riemann's theory of trigonometric series; Part II: 10. Trigonometric interpolation; 11. Differentiation of series, generalised derivatives; 12. Interpolation of linear operations, more about Fourier coefficients; 13. Convergence and summability almost everywhere; 14. More about complex methods; 15. Applications of the Littlewood-Paley function to Fourier series; 16. Fourier integrals; 17. A topic in multiple Fourier series.

Essential Information

ISBN, Binding, 0-521-89053-5 Paperback c.GBP 39.95
Approximate Publication Date: c.01/04/2003
Main Subject Category: Mathematics - analysis, probability
Series: Cambridge Mathematical Library

Market (Subject)
trigonometric series, analysis, harmonic analysis

Level
graduate students, academic researchers

MARK BURGESS
University College, Oslo

Classical Covariant Field Theory

Description: This book discusses the classical foundations of field theory, using the language of variational methods and covariance. It explores the limits of what can be achieved with purely classical notions, and shows how these have a deep and important connection with the second quantized field theory, which follows on from the Schwinger Action Principle. The book takes a pragmatic view of field theory, focusing on issues which are usually omitted from quantum field theory texts and cataloging results which are often hard to find in the literature. Care is taken to explain how results arise and how to interpret them physically, for graduate students starting out in the field. Many physical examples are provided, making the book an ideal supplementary text for courses on elementary field theory, group theory and dynamical systems. It will also be a valuable reference for researchers already working in these and related areas.

Contents: Foreword; Part I. Fields: 1. Introduction; 2. The electromagnetic field; 3. Field parameters; 4. The action principle; 5. Classical field dynamics; 6. Statistical interpretation of the field; 7. Examples and applications; Part II. Groups and Fields: 8. Field transformations; 9. Spacetime transformations; 10. Kinematical and dynamical transformations; 11. Position and momentum; 12. Charge and current; 13. The non-relativistic limit; 14. Unified kinematics and dynamics; 15. Epilogue: quantum field theory; Part III. Reference: A Compendium of Fields: 16. Gallery of definitions; 17. The Schr�dinger field; 18. The real Klein Gordon field; 19. The complex Klein Gordon field; 20. The Dirac field; 21. The Maxwell radiation field; 22. The massive Proca field; 23. Non-Abelian fields; 24. Chern-Simons theories; 25. Gravity as a field theory; Part IV. Appendices.

Essential Information

ISBN, Binding, 0-521-81363-8 Hardback
Approximate Publication Date: c.01/03/2002
Main Subject Category: Theoretical, mathematical physics

Market (Subject)
physics (theoretical, mathematical, statistical), quantum field theory, classical field theory, dynamical systems

Level
academic researchers, graduate students

Bibliographic Details
14 line diagrams 7 tables

Comparable titles: FUCHS/Affine Lie Algebras and Quantum Groups/1995/0521 48412X RYDER/Quantum Field Theory 2nd edition/1996/0521 472423 ITZYKSON and DROUFFE/Statistical Field Theory/1991/Vol. 1 0521 408059/Vol. 2 0521 408067

BRIAN J. CANTWELL

Introduction to Symmetry Analysis

Description: Symmetry analysis based on Lie group theory is the most important method for solving nonlinear problems aside from numerical computation. The method can be used to find the symmetries of almost any system of differential equations and the knowledge of these symmetries can be used to reduce the complexity of physical problems governed by the equations. This is a broad, self-contained, introduction to the basics of symmetry analysis for first and second year graduate students in science, engineering and applied mathematics. Mathematica-based software for finding the Lie point symmetries and Lie-Backlund symmetries of differential equations is included on a CD along with more than forty sample notebooks illustrating applications ranging from simple, low order, ordinary differential equations to complex systems of partial differential equations. MathReader 4.0 is included to let the user read the sample notebooks and follow the procedure used to find symmetries.

Contents: Preface; 1. Introduction to symmetry; 2. Dimensional analysis; 3. Systems of ODE’s, first order PDE’s, state-space analysis; 4. Classical dynamics; 5. Introduction to one-parameter Lie groups; 6. First order ordinary differential equations; 7. Differential functions and notation; 8. Ordinary differential equations; 9. Partial differential equations; 10. Laminar boundary layers; 11. Incompressible flow; 12. Compressible flow; 13. Similarity rules for turbulent shear flows; 14. Lie-Backlund transformations; 15. Invariance condition for integrals, variational symmetries; 16. Backlund transformations and non-local groups; Appendix 1. Review of calculus and the theory of contact; Appendix 2. Invariance of the contact conditions under Lie point transformation groups; Appendix 3. Infinite-order structure of Lie-Backlund transformations; Appendix 4. Symmetry analysis software.

Essential Information

ISBN, Binding, 0-521-77740-2 Paperback
Approximate Publication Date: c.01/05/2002
Main Subject Category: Dynamics, Control, Differential & Integral Equations
Series: Cambridge Texts in Applied Mathematics, No. 29

Market (Subject)
differential equations, symmetry solutions, applied mathematics, engineering

Level
graduate students, undergraduate students

Bibliographic Details
107 line diagrams 5 half-tones 2 colour plates 20 tables 131 exercises