Expected publication date is November 25, 2005
Description
Social reformer, banker, and mathematician, Olinde Rodrigues is a
fascinating figure in nineteenth-century Paris. Information about
him is obscure-scattered in publications on history, mathematics,
and the social sciences-and often inaccurate. Rodrigues left no
papers or archives. Here, for the first time, is an authoritative
account of his family history, education, and important
mathematical works. Written by a team of prominent mathematicians
and historians, the book comprises the interests and associations
that make Rodrigues such a remarkable character in the history of
mathematics. This is a superb panorama of nineteenth-century
France, portrayed through the life and work of Olinde Rodrigues.
The beginning chapters attempt to recreate the scientific and
social background of nineteenth-century Paris and Rodrigues's
place in it. The following chapters discuss his contributions to
a variety of mathematical fields (e.g., orthogonal polynomials,
combinatorics, and rotations). Final chapters discuss
contemporary reactions to his mathematical work. Sufficient
background is given to make it accessible to readers familiar
with basic college mathematics. The book is suitable for
specialists in the history of mathematics and/or science,
graduate students and mathematicians.
Contents
- S. Altmann and E. L. Ortiz -- Introduction
- S. Altmann, D. Siminovitch, and B. M. Ratcliffe -- Olinde Rodrigues and his times
- B. M. Ratcliffe -- Towards a better understanding of Olinde Rodrigues and his circle: Family and faith in his life and career
- P. Ferruta -- Euphrasie and Olinde Rodrigues: The "woman question" within Saint-Simonism
- I. Grattan-Guinness -- Rodrigues's early work in mathematics, 1813-1816
- R. Askey -- The 1839 paper on permutations: Its relation to the Rodrigues formula and further developments
- U. Tamm -- Olinde Rodrigues and combinatorics
- J. Gray -- Olinde Rodrigues's paper of 1840 on a group of transformations
- E. L. Ortiz -- After Rodrigues: From rotations to quaternions
- Index
Details:
Series: History of Mathematics, Volume: 28
Publication Year: 2005
ISBN: 0-8218-3860-1
Paging: approximately 184 pp.
Binding: Hardcover
Expected publication date is December 1, 2005
Description
This collection of articles grew out of an expository and
tutorial conference on public-key cryptography held at the Joint
Mathematics Meetings (Baltimore).
The book provides an introduction and survey on public-key
cryptography for those with considerable mathematical maturity
and general mathematical knowledge. Its goal is to bring
visibility to the cryptographic issues that fall outside the
scope of standard mathematics.
These mathematical expositions are intended for experienced
mathematicians who are not well acquainted with the subject. It
is suitable for graduate students, researchers, and engineers
interested in mathematical aspects and applications of public-key
cryptography.
Contents
- P. Garrett -- Cryptographic primitives
- D. Lieman -- Cryptography in the real world today
- N. Howgrave-Graham -- Public key cryptography and proofs of security
- J. H. Silverman -- Elliptic curves and cryptography
- W. Whyte -- Towards faster cryptosystems I
- W. D. Banks -- Towards faster cryptosystems, II
- I. E. Shparlinski -- Playing "hide-and-seek" with numbers: The hidden number problem, lattices and exponential sums
- Index
Details:
Series: Proceedings of Symposia in Applied Mathematics, Volume:
62
Publication Year: 2005
ISBN: 0-8218-3365-0
Paging: approximately 192 pp.
Binding: Hardcover
Expected publication date is November 2, 2005
Description
This volume contains translations of papers that originally
appeared in the Japanese journal Sugaku. The papers range over a
variety of topics, including differential equations with free
boundary, singular integral operators, operator algebras, and
relations between the Brownian motion on a manifold with function
theory.
The volume is suitable for graduate students and research
mathematicians interested in analysis and differential equations.
Contents
- G. S. Weiss -- Regularity in free boundary problems
- S. Sakaguchi -- Behavior of spatial critical points and zeros of solutions of diffusion equations
- H. Aikawa -- Martin boundary and boundary Harnack principle for non-smooth domains
- S. Sato -- Singular integrals and Littlewood-Paley functions
- A. Kasue -- Convergence of metric measure spaces and energy forms
- Y. Kawahigashi -- Subfactor theory and its applications: Operator algebras and quantum field theory
- A. Atsuji -- Brownian motion and value distribution theory of holomorphic maps and harmonic maps
- M. Aoshima -- Statistical inference in two-stage sampling
Details:
Series: American Mathematical Society Translations--Series 2,Volume:
215
Publication Year: 2005
ISBN: 0-8218-3927-6
Paging: 145 pp.
Binding: Hardcover
Expected publication date is December 3, 2005
Description
This volume is intended for the advanced study of several topics
in mathematical statistics. The first part of the book is devoted
to sampling theory (from one- and multi-dimensional distributions),
asymptotic properties of sampling, parameter estimation,
sufficient statistics, and statistical estimates. The second part
is devoted to hypothesis testing and includes the discussion of
families of statistical hypotheses that can be asymptotically
distinguished. In particular, the author describes goodness-of-fit
and sequential statistical criteria (Kolmogorov, Pearson,
Smirnov, and Wald) and studies their main properties.
The book is suitable for graduate students and researchers
interested in mathematical statistics. It is useful for
independent study or supplementary reading.
Contents
- Index
- Samples from one-dimensional distributions
- Samples from multidimensional distributions
- Estimation of unknown parameters of distributions
- Sufficient statistics
- General methods for constructing estimators
- References
- General theory of hypotheses testing
- Asymptotic distinguishability of simple hypotheses
- Goodness-of-fit tests
- Sequential tests
- References
Details:
Series: Translations of Mathematical Monographs, Volume: 229
Publication Year: 2005
ISBN: 0-8218-3732-X
Paging: approximately 332 pp.
Binding: Hardcover
Expected publication date is November 2, 2005
Description
This volume contains a collection of articles from the special
program on algebraic and topological dynamics and a workshop on
dynamical systems held at the Max-Planck Institute (Bonn, Germany).
It reflects the extraordinary vitality of dynamical systems in
its interaction with a broad range of mathematical subjects.
Topics covered in the book include asymptotic geometric analysis,
transformation groups, arithmetic dynamics, complex dynamics,
symbolic dynamics, statistical properties of dynamical systems,
and the theory of entropy and chaos.
The book is suitable for graduate students and researchers
interested in dynamical systems.
Contents
M. Misiurewicz -- Ergodic natural measures
T. Downarowicz -- Survey of odometers and Toeplitz flows
S. Bezuglyi, J. Kwiatkowski, and K. Medynets -- Approximation in
ergodic theory, Borel, and Cantor dynamics
A. H. Dooley -- The critical dimension: An approach to non-singular
entropy
J. Aaronson and M. Lemanczyk -- Exactness of Rokhlin
endomorphisms and weak mixing of Poisson boundaries
M. Barge and J. Kwapisz -- Elements of the theory of unimodular
Pisot substitutions with an application to beta-shifts
W. Huang, S. Shao, and X. Ye -- Mixing via sequence entropy
V. Baladi -- Anisotropic Sobolev spaces and dynamical transfer
operators: C^infty foliations
D. Mayer and T. Muhlenbruch -- From the transfer operator for
geodesic flows on modular surfaces to the Hecke operators on
period functions of Gamma_0(n)
S. Koch and M. Denker -- Hausdorff dimension for Martin metrics
M. C. Sullivan -- Twistwise flow equivalence and beyond
A. Fel'shtyn -- Dynamical zeta functions and symplectic Floer
homology
Y. Vorobets -- Periodic geodesics on generic translation surfaces
S. Albeverio and A. Kosyak -- Group action, quasi-invariant
measures and quasiregular representations of the infinite-dimensional
nilpotent group
D. Kleinbock and B. Weiss -- Friendly measures, homogeneous flows
and singular vectors
G. Everest, V. Stangoe, and T. Ward -- Orbit counting with an
isometric direction
M. Schmoll -- Spaces of elliptic differentials
K. Thomsen -- On the structure of beta shifts
V. Berthe, S. Ferenczi, and L. Q. Zamboni -- Interactions between
dynamics, arithmetics and combinatorics: The good, the bad, and
the ugly
Details:
Series: Contemporary Mathematics, Volume: 385
Publication Year: 2005
ISBN: 0-8218-3751-6
Paging: 364 pp.
Binding: Softcover