Summary
This book masterfully illustrates the life course of numbers,
taking the reader on a walk through a museum of historical
artifacts, manuscripts, and works of art. The authors recount how
numbers lived in now extinct civilizations, with photographs of
archaeological remains, Roman coins, preromanic manuscripts,
incunabula; how people learned to use numbers to count, showing
Renaissance mercantile arithmetic books; and how numbers evolved
into the Western counting system that we use today, with the
first recorded usage of the current arithmetic symbols. The
authors explore not only the history and use of numbers, but also
the physical shape of numbers assumed in writing, including their
life at the printing presses at the height of the Renaissance,
and in prints of Leonardo da Vinci and Durero, typographical
designs, and both celestial and terrestrial maps.
Details
ISBN: 978-1-56881-325-7
Year: 2006
Format: Hardcover
Pages: 180
Series: Pure and Applied Mathematics
ISBN: 158488889X
Publication Date: 8/15/2007
Number of Pages: 480
Shows how to use Lie's results to solve ODEs
Features many worked examples and solved problems
Presents new results, including Janet basis representations and
Loewy composition
Provides a website containing software for the solution of ODE
problems
Algorithmic Lie Theory for Solving Ordinary Differential
Equations provides a unique introduction to the systematic
utilization of Lie's results for solving ordinary differential
equations (ODEs). The book describes the theoretical background
and includes many worked examples and solved problems to promote
a thorough understanding of the topic. The author discusses new
results, including Janet basis representations and Loewy
composition, and provides a website that contains algebraic
software for applying the theory to solve ODE problems. This book
serves as a valuable resource for solving differential equations
using Lie's theory.
Series: Interdisciplinary Statistics
ISBN: 1584887583
Publication Date: 11/15/2007
Number of Pages: 352
Delivers a comprehensive introduction to generalized linear
models
Features many worked examples using real data taken from the
health and social sciences
Implements examples using R, Stata, SAS and LogiXact software
Includes a large number of exercises with solutions
Provides a website with data sets, software links, and additional
examples
Generalized Linear Models: Theory and Applications provides a
comprehensive, practical introduction to generalized linear
models that covers all of the main models and methods of
estimation. Worked examples of real data are backed up by
implementation in a range of software packages, including R,
Stata, SAS, and LogiXact. The examples presented are taken
predominantly from the health and social sciences, including
health outcomes research, genetics, economics, education, and
psychology. Material is supported by a website with data sets,
software links, and further examples.
Series: Springer Monographs in Mathematics
2007, Approx. 310 p., Hardcover
ISBN: 978-0-387-49911-6
Due: May 2007
About this book
This book gives a survey of the theory of semiparallel
submanifolds and some generalizations in space forms. It is more
complete than accounts given in other available books. The first
three chapters of the text prepare the reader for the main
subject, which is unfolded in detail throughout the rest of the
book. Some of the topics presented include hypersurfaces,
surfaces, three-dimensional submanifolds, and two-dimensional
holomorphic Riemannian manifolds in relation to Euclidean space.
Table of contents
Introduction.- Preliminaries.- Submanifolds in Space Forms.-
Parallel Submanifolds.- Semiparallel Submanifolds.- Normally Flat
Semiparallel Submanifolds.- Semiparallel Surfaces.- Semiparallel
Three-Dimensional Submanifolds.- Decomposition Theorems.- Umbilic-Likeness
of Main Symmetric Orbits.- Geometric Descriptions in General.-
Isometric Semiparallel Immersions of Riemannian Manifolds of
Conullity Two.- Some Generalizations.- Bibliography.- Index.
Series: London Mathematical Society Lecture Note Series (No.
344)
Paperback (ISBN-13: 9780521701754)
Algebraic geometry is a central subfield of mathematics in which
the study of cycles is an important theme. Alexander Grothendieck
taught that algebraic cycles should be considered from a motivic
point of view and in recent years this topic has spurred a lot of
activity. This book is one of two volumes that provide a self-contained
account of the subject as it stands today. Together, the two
books contain twenty-two contributions from leading figures in
the field which survey the key research strands and present
interesting new results. Topics discussed include: the study of
algebraic cycles using Abel-Jacobi/regulator maps and normal
functions; motives (Voevodsky's triangulated category of mixed
motives, finite-dimensional motives); the conjectures of Bloch-Beilinson
and Murre on filtrations on Chow groups and Bloch's conjecture.
Researchers and students in complex algebraic geometry and
arithmetic geometry will find much of interest here.
* Provides a self-contained account of the subject of algebraic cycles
and motives as it stands today
* Papers by the leading experts in the field
* Discusses both main research topics and interesting new developments within the subject
Contents
Part II. Research Articles: 8. Beilinson's Hodge conjecture with
coefficients M. Asakura and S. Saito; 9. On the splitting of the
Bloch-Beilinson filtration A. Beauville; 10. K?nneth projectors S.
Bloch and H. Esnault; 11. The Brill-Noether curve of a stable
bundle on a genus two curve S. Brivio and A. Verra; 12. On
Tannaka duality for vector bundles on p-adic curves C. Deninger
and A. Werner; 13. On finite-dimensional motives and Murre's
conjecture U. Jannsen; 14. On the transcendental part of the
motive of a surface B. Kahn, J. P. Murre and C. Pedrini; 15. A
note on finite dimensional motives S. I. Kimura; 16. Real
regulators on Milnor complexes, II J. D. Lewis; 17. Motives for
Picard modular surfaces A. Miller, S. M?ller-Stach, S. Wortmann,
Y.-H.Yang, K. Zuo; 18. The regulator map for complete
intersections J. Nagel; 19. Hodge number polynomials for nearby
and vanishing cohomology C. Peters and J. Steenbrink; 20. Direct
image of logarithmic complexes M. Saito; 21. Mordell-Weil
lattices of certain elliptic K3's T. Shioda; 22. Motives from
diffraction J. Stienstra.
Paper | March 2007 | ISBN13: 978-0-691-12923-5
Cloth | March 2007 | ISBN13: 978-0-691-12922-8
198 pp. | 6 x 9 | 2 line illus.
Resolution of singularities is a powerful and frequently used
tool in algebraic geometry. In this book, Janos Kollar provides a
comprehensive treatment of the characteristic 0 case. He
describes more than a dozen proofs for curves, many based on the
original papers of Newton, Riemann, and Noether. Kollar goes back
to the original sources and presents them in a modern context. He
addresses three methods for surfaces, and gives a self-contained
and entirely elementary proof of a strong and functorial
resolution in all dimensions. Based on a series of lectures at
Princeton University and written in an informal yet lucid style,
this book is aimed at readers who are interested in both the
historical roots of the modern methods and in a simple and
transparent proof of this important theorem.
Janos Kollar is a professor of Mathematics at Princeton
University.
Series:
Annals of Mathematics Studies, 166