This is a collection of articles on various
aspects of Number Theory. These are refereed
and expanded versions of the talks given
at the International Conference on Number
Theory held at Harish-Chandra Research Institute,
Allahabad, in November 2000. Apart from these,
contributions from some of the organising
committee members are also included in this
volume.
The articles give glimpses of current research
in combinatorial,
algebraic and analytic aspects of number
theory. There are some
articles on arithmetic algebraic geometry
as well.
Contents: S.D. Adhikari and G. Coppola, On
the Average of the Sum-of-odd-divisors
Function; A.K. Agarwal, Rogers-Ramanujan
Identitles; Ioulia
Baoulina, On the Problem of Explicit Evaluation
of the Number of
Solutions of the Equations a1x21 + ...+ anx2n
= bx1 ... xn in a
Finite Field; Eknath Ghate, An Introduction
to Congruences
Between Modular Forms; S.A. Katre, The Cyclotomic
Problem;
Shinichi Kobayashi, The Local Root Number
of Elliptic Curves; M.
Manickam, On Skew-holomorphic Jacobi Forms;
Anirban Mukhopadyay,
The View-Obstruction Problem; V. Kumar Murty,
The Addition Law on
Hyperelliptic Jacobians; M. Ram Murty, Sieving
Using Dirichlet
Series; D.S. Nagaraj, Higher Circular l-units
of Anderson and
Ihara; Shoichi Nakajima, On Automorphism
Groups of Algebraic
Curves; V.C. Nanda, Special Integral Bases
with Restricted
Coefficients for Extensions of Dedekind Domains;
Anuradha
Narasimhan, Zeta Functions for Curves Defined
over Finite Fields;
I.B.S. Passi, Algebraic Elements in Group
Rings; Nilabh Sanat,
Reflection Representation and Theta Correspondence;
J. Sengupta,
Some Aspects of the Central Critical Value
of Automorphic L-functions;
Parvati Shastri, Integral Points on the Circle
X2 + Y2 = c; T.N.
Shorey, An Equations of Goormaghtigh and
Diophantine
Approximations; R. Tandon, Base Change, Distinguishedness
and a
Theorem of Saito; Dinesh S. Thakur, Elliptic
curves in function
field arithmetic; R. Thangadurai, On Certain
Zero-sum Problems in
Finite Abelian Groups; T.C. Vasudevan, Modular
Forms and
Functional Equations; T.N. Venkataramana,
Lefschetz Properties of
Subvarieties of Shimura Varieties.
2002 280 pages Hardcover
ISBN 81-85931-33-X
ISBN: 0-471-16558-1
Hardcover
240 Pages
September 2001
A visual journey to the intersection of math
and imagination,
guided by an award-winning author
Mathematics is right brain work, art left
brain, right? Not so.
This intriguing book shows how intertwined
the disciplines are.
Portraying the work of many contemporary
artists in media from
metals to glass to snow, Fragments of Infinity
draws us into the
mysteries of one-sided surfaces, four-dimensional
spaces, self-similar
structures, and other bizarre or seemingly
impossible features of
modern mathematics as they are given visible
expression.
Featuring more than 250 beautiful illustrations
and photographs
of artworks ranging from sculptures both
massive and minute to
elaborate geometric tapestries and mosaics
of startling
complexity, this is an enthralling exploration
of abstract
shapes, space, and time made tangible.
Ivars Peterson (Washington, DC) is the mathematics
writer and
online editor of Science News and the author
of The Jungles of
Randomness (Wiley: 0-471-16449-6), as well
as four previous trade
books.
Table of Contents:
Preface.
1. Gallery Visits.
2. Theorems in Stone.
3. A Place in Space.
4. Plane Folds.
5. Grid Fields.
6. Crystal Visions.
7. Strange Sides.
8. Minimal Snow.
9. Points of View.
10. Fragments.
Further Readings.
Credits.
Index.
ISBN: 0-471-22092-2
Hardcover
847 Pages
August 2002
A key decision that investors face is how
to allocate their funds
among the wide spectrum of financial instruments
available. To
intelligently make that allocation decision,
it is imperative
that you understand the investment characteristics
of the major
asset classes and the markets in which they
trade.
The Handbook of Financial Instruments is
the first book to
provide comprehensive coverage of such a
wide variety of
financial instruments. Written by experts
in their respective
fields, this book arms individual investors
as well as
institutional investors with the knowledge
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Topics covered include:
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investing
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including cash value
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Hedge funds and private equity funds
Real estate investments
Derivative instruments such as futures/forward
contracts,
options, futures options, swaps, caps, and
floors
Pick up The Handbook of Financial Instruments
and find out how
you can use a variety of different asset
classes to construct and
manage a portfolio to achieve your investment
objectives.
Series: Problem Books
The Mathematical Olympiad examinations, covering
the USA
Mathematical Olympiad (USAMO) and the International
Mathematical
Olympiad (IMO), have been published annually
by the MAA American
Mathematics Competitions since 1976. This
is the second
collections of these competitions published
in book form by the
MAA.
In addition to presenting their own carefully
written solutions
to the problems, the editors have provided
remarkable solutions
developed by the examination committees,
contestants, and
experts, during or after the contests. They
also provide a
comprehensive guide to other materials on
advanced problem-solving.
This collection of excellent problems and
beautiful solutions is
a valuable companion for students who wish
to develop their
interest in mathematics outside the school
curriculum and to
deepen their knowledge of mathematics.
120 pp., Paperbound 2002
ISBN 0-88385-809-6
(Hardback)
0-19-850073-4
Publication date: December 2002
Clarendon Press 660 pages, 11 half tone,
1 line, 234mm x 156mm
Fourth volume of well-acclaimed series
Only complete editions of Godels work available
in English
Contains translated material and original
material
Description
'Review from other book by this author Godel
would probably have
been pleased ... The set should be of interest
to professionals
and students in the area of logic, mathematics,
philosophy,
history of science, computer science and
to some non-specialists
with a background in science and/or logic.
For all university
level libraries and for large public and
college library
collections.' -New Technical Books, New York
Public Library (January
1987)
'This book (Volume I) is unique, and every
philosopher or
historian of logic will be determined to
possess it.' -Nature
'This is the second volume of this impressive
series of Godel's
works ... this second volume of his published
works is really
fundamental, as it was only in this period
that Godel decided to
make public some traits of his philosophical
position ... The
introductory note to these writings, by R.
Solovay, seems to me
historically and technically superb. I congratulate
the editorial
team for including in this volume the improved
1972 version of
the Dialectica paper of 1958 on finitary
mathematics ... As a
whole, the book is absolutely indispensable
for anyone interested
in Godel's ideas, or generally on the history
and philosophy of
logic and mathematics.' -Modern Logic, Volume
4, no. 3 (July 1994)
'These volumes contain, as well as the doctoral
dissertation and
a hitherto unpublished revision of a translation
of the
Dialectica paper, all of Godel's work printed
in his lifetime.
The volumes are meticulously edited and are
a pleasure to consult.
Original page numbers are clearly shown;
papers written in German
are printed with facing translations.' -Bulletin
of the London
Mathematical Society, 24 (1992)
'Anyone interested in the life and work of
Kurt Godel, or in the
history of mathematical logic in this century,
is indebted to all
of the contributors to this volume (volume
I)for the care with
which they have presented Godel's work. They
have succeeded in
using their own expertise to elucidate both
the nature and the
significance of what Godel and, in turn,
mathematical logic have
accomplished. From the example of this first
volume, the edition
promises to be a model of its kind; virtually
nothing could be
bettered. Feferman and his team are to be
congratulated on the
care, sureness of touch, and scholarly accuracy
with which they
have carried out their task' -Mind
'It is a fascinating and enduringly important
collection,
superbly well-edited, each paper being prefaced
with an excellent
intoduction providing background information,
summaries of the
arguments and, where necessary, criticisms
of the views expressed.
The editors are to be wholeheartedly congratulated
on bringing to
the public work which deserves careful study
and which ought to
do something to revitalise the philosophy
of mathematics by
presenting a point of view that, unusually,
combines intellectual
rigour with a willingness to make bold and
metaphysical claims.'
-Times Higher Education Supplement, 15 March
1996
'This is the third volume of a comprehensive
and critical edition
of the works of Kurt Godel. . .All these
essays and lectures are
most carefully written and remarkably rich.
They give
considerable insight into Godel's own achievements
in logic, set
theory and physics and also into his philosophical
views. . . .This
volume was a desideratum for a long time.
We also hope very
strongly that volume 3 is not the last volume."
--' -Vienna
Circle Institute Yearbook 1997
'The book (Volume III) ... will certainly
enlarge our
appreciation of Godel's scientific and philosophical
thought as
well as our understanding of his motivations.'
-Mathematical
Reviews, Issue 96f
'Each item in the volume (Volume III) carries
an introduction
written by a leading expert, and there are
detailed textual notes
at the end of the book. The editorial standards
are extremely
high throughout' -London Mathematical Society
1997
Kurt Godel was the most outstanding logician
of the 20th century
and a giant in the field. This book is part
of a five volume set
that makes available all of Godels writings.
The first three
volumes, already published, consist of the
papers and essays of
Godel. The final two volumes of the set deal
with Godel's
correspondence with his contemporary mathematicians,
this fourth
volume consists of material from correspondents
from A-G.
Readership: Students and researchers of Mathematics,
Philosophy,
Computer Science and the History of Mathematics.
General interest
readers interested in any of the above.