Publication is planned for May 2003 | Paperback | 160 pages 43
line diagrams 1 half-tone 7 tables |
ISBN: 0-521-53024-5
Publication is planned for May 2003 | Hardback | 160 pages 43
line diagrams 1 half-tone 7 tables |
ISBN: 0-521-82323-4
available from May 2003
Easy to read and up-to-date, How to Write and Illustrate a
Scientific Paper will help both first-time writers and
experienced contributors in authoring research papers. Although
the examples are mainly from the medical and biological sciences,
the principles described apply to virtually every branch of
science. This book provides step-by-step information on how to
prepare every aspect of a scientific paper, from the title and
the order in which the authors are cited, through to how the
reference list should be arranged. Illustrations, particularly
graphs, are discussed in detail, with poor examples redrawn for
comparison. The reader is offered advice on how to present the
paper, where and how to submit the manuscript, and finally, how
to correct the proofs. Examples of both good and bad writing,
taken from actual journal articles, illuminate the authorfs
advice in this accessible and informative guide.
Contents
Preface; Acknowledgments; 1. Basic rules of writing; Part I. The
Journal Article: 2. Where to start; 3. How to design tables; 4.
Preparing a graph; 5. Title; 6. Authors; 7. Abstract; 8.
Introduction; 9. Methods; 10. Results; 11. Discussion; 12.
Acknowledgments; 13. References; Part II. Related Topics: 14.
Numbers; 15. Abbreviations; 16. Common statistical errors; 17.
The language; 18. Writing the draft; 19. How to type the
manuscript; 20. Choosing a journal and submitting your paper; 21.
How to deal with editors and referees; 22. Correcting proofs; 23.
Authorsf responsibilities; 24. Literature needed on your desk;
25. Further reading; Index.
Publication is planned for March 2003 | Hardback | 200 pages |
ISBN: 0-521-80906-1
Incorporated in this volume are the first two books in Mukaifs
series on Moduli Theory. The notion of a moduli space is central
to geometry. However, its influence is not confined there; for
example the theory of moduli spaces is a crucial ingredient in
the proof of Fermatfs last theorem. Researchers and graduate
students working in areas ranging from Donaldson or Seiberg-Witten
invariants to more concrete problems such as vector bundles on
curves will find this to be a valuable resource. Amongst other
things this volume includes an improved presentation of the
classical foundations of invarant theory that, in addition to
geometers, would be useful to those studying representation
theory. This translation gives an accurate account of Mukaifs
influential Japanese texts.
Contents
1. Invariants and moduli; 2. Rings and polynomials; 3. Algebraic
varieties; 4. Algebraic groups and rings of invariants; 5.
Construction of quotient spaces; 6. Global construction of
quotient varieties; 7. Grassmannians and vector bundles; 8.
Curves and their Jacobians; 9. Stablle vector bundles on curves;
10. Moduli functors; 11. Intersection numbers and the Verlinde
formula; 12. The numerical criterion and its applications
Publication is planned for May 2003 | Hardback | 250 pages |
ISBN: 0-521-63338-9
In many areas of mathematics, science and engineering, from
computer graphics to inverse methods to signal processing, it is
necessary to estimate parameters, usually multi-dimensional, by
approximation and interpolation. Radial basis functions are a
modern and powerful tool which work well in very general
circumstances, and so are becoming of widespread use, as the
limitations of other methods, such as least-squares, polynomial
interpolation or wavelet-based, become apparent. This is the
first book devoted to the subject and the authorfs aim is to
give a thorough treatment from both the theoretical and practical
implementation viewpoints. For example, he emphasises the many
positive features of radial basis functions such as the unique
solvability of the interpolation problem, the computation of
interpolants, their smoothness and convergence, and provides a
careful classification of the radial basis functions into types
that have different convergence. A comprehensive bibliography
rounds off what will prove a very valuable work.
Contents
1. Introduction; 2. Summary of methods and applications; 3.
General methods for approximation and interpolation; 4. Radial
basis functions on infinite grids; 5. Radial basis functions on
scattered data; 6. Radial functions with compact support; 7.
Implementations; 8. Least squares methods; 9. Wavelet methods
with radial basis functions; 10. Open problems and further
results; Appendix: Some essentials on Fourier transforms;
References; Index.
Publication is planned for March 2003 | Paperback (Hardback) |
411 pages 213 line diagrams 9 half-tones |
ISBN: 0-521-53352-X
First recognized in 1665 by Christiaan Huygens, synchronization
phenomena are abundant in science, nature, engineering and social
life. Systems as diverse as clocks, singing crickets, cardiac
pacemakers, firing neurons and applauding audiences exhibit a
tendency to operate in synchrony. These phenomena are universal
and can be understood within a common framework based on modern
nonlinear dynamics. The first half of this book describes
synchronization without formulae, and is based on qualitative
intuitive ideas. The main effects are illustrated with
experimental examples and figures, and the historical development
is outlined. The remainder of the book presents the main effects
of synchronization in a rigorous and systematic manner,
describing classical results on synchronization of periodic
oscillators, and recent developments in chaotic systems, large
ensembles, and oscillatory media. This comprehensive book will be
of interest to a broad audience, from graduate students to
specialist researchers in physics, applied mathematics,
engineering and natural sciences.
Reviews
ec the authors ... have pulled off a very difficult trick,
that of writing a book that is both a definitive introduction to
synchronization for the casual reader and a definitive text for
researchers working in a variety of fields.f William Ditto,
Nature
e... has all the hallmarks of a classic. It is currently unique...
Every scientist working in the area will want a copy of this
book, and every science librarian should buy one. No doubt it
will run through many editions, and deservedly.f Peter
McClintock, Contemporary Physics
Contents
1. Introduction; Part I. Synchronization Without Formulae: 2.
Basic notions: self-sustained oscillator and its phase; 3.
Synchronization of a periodic oscillator by external force; 4.
Synchronization of two and many oscillators; 5. Synchronization
of chaotic systems; 6. Detecting synchronization in experiments;
Part II. Phase Locking and Frequency Entrainment: 7.
Synchronization of periodic oscillators by periodic external
action; 8. Mutual synchronization of two interacting periodic
oscillators; 9. Effect of noise on phase locking; 10. Phase
synchronization of chaotic systems; 11. Synchronization in
oscillatory media; 12. Populations of globally coupled
oscillators; Part III. Synchronization of Chaotic Systems: 13.
Complete synchronization I: basic concepts; 14. Complete
synchronization II: generalizations and complex systems; 15.
Synchronization of complex dynamics by external forces; Appendix
1. Discovery of synchronization by Christiaan Huygens; Appendix 2.
Instantaneous phase and frequency of a signal; Index.