McDuff, D. /Salamon, D.:
Introduction to Symplectic Topology, 2nd ed.
(Now in Paperback ed.)
This second edition in paperback is a revised and enlarged
version of the original book, and provides an introduction to a
fast developing area which has applications across many fields.
Over the years much detailed knowledge of particular systems, but
the modern global theory of symplectic topology has just emerged.
Powerful new methods in analysis and topology have led to a
series of striking results. This book is a self-contained
introduction to the subject, designed to introduce the reader to
almost all of the new methods in the field, and to provide proofs
of the simpler versions of the most important new theorems. It
will be readily accessible to postgraduate students, and includes
many exercises.
Sep. 1998 434 pp.
0-19-850451-9
Oxford Univ. Press
MacDonald, I. G. :
Symmetric Functions and Hall Polynomials, 2nd ed.
This is a new in papaerback second edition of an acclaimed
text. From reviews of the first edition: 'despite the amount of
material of such great potentioal interest to
mathematicians...the theory of symetric functions remarks all but
unknown to the persons it is most likely to benefit... Hopefully
this beautifully written book will put an end to this state of
affairs... I have no doubt that this book will become the
definitive reference on symmetric functions and their
applications'. Bulletin of the AMS
July 1998 320 pp.
0-19-850450-0
Oxford Univ. Press
Semple, J. G.:
Algebraic Projective Geometry (Reissue)
Reisuued in the Oxford Classic Texts in the Physical Sciences series,
and first published in 1952,
this book has been recommended to generations of students.
It provides a clear and systematic introduction
to projective geometry, building on concepts from linear algebra.
'[Topics are] presented with a simplicity and clarity of treatment......
This interesting book may be warmly recommended.'
Mathematical Gazette
July 1998 412 pp.
0-19-850363-6
Oxford Univ. Press
Polster, B. :
A Geometrical Picture Book
How do you convey to your students, colleagues, and friends
some of the beauty of the kind of mathematics you are obsessed
with? If you are a mathematician interested in finite or
topological geometry or combinatorial designs, you could start by
showing them some of the (400+) pictures in the "picture
book". Picture are what this book is all about; original
pictures of everybody's favorite geometries such as
configurations, projective planes and spaces, circle planes,
generalized polygons, mathematical biplanes, and other designs
which capture much of the beauty, construction principles,
particularities, substructures, and interconnections of these
geometries. The level of the text is suitable for advanced
undergraduates and graduate students. Even if you are a
mathematician who just wants some interesting reading, you will
enjoy the author's very original and comprehensive guided tour of
small finite geometries and geometries on surfaces. This guided
tour includes lots of stereograms of the spatial models, games
and puzzles and instructions on how to construct your own
pictures and build some of the spatial models yourself.
June 1998 292 pp.
3-540-98437-2
Springer
Logan, D. :
Applied Partial Differential Equations
This text defiers from other texts in that it is a brief
treatment (about 200 page); yet it provides coverage of the main
topics usually studied in such a course as well as an
introduction to using computer algebra packages to solve and
understand PDEs. The student who reads this book carefully and
solves most of the problems will have a sound knowledge base for
a second-year partial differential equations course where careful
proofs are constructed or upper division courses in science and
in engineering where detailed applications of partial
differential equations are introduced.
July 1998 200 pp.
3-540-98441-0/98439-9 (Paper ed.)
Springer
Priestley, W.
Calculus:
A Liberal Art, 2nd ed.
This is a serious--but not solemn--textbook that attempts to make a clear,
conceptual understanding of calculus accessible to all liberal arts students.
It presents mathematics as growing out of the classical liberal arts
to form a natural bridge between the humanities and the sciences,
integrating the history and pedagogy of mathematics in a way
that may be of interest to prospective teachers as well.
May 1998 424 pp.
3-540-98379-1
Springer
Laubenbacher, R. / Pengelley, D. :
The Evolution of Mathematical Ideas:
A Study of Original Sources
The stories of five mathematical journeys into new realms,
pieced together from the writings of the explorers themselves.
Some were guided by mere curiosity and the thrill of adventure,
others by more practical motives. In all cases the outcome was a
vast expansion to the known mathematical world and the
realisation that still greater vistas remain to be explored. The
five chapters are completely independent and contain varying
levels of mathematical sophistication, and will attract student,
instructors, and the intellectually curious reader. By working
through some of he original sources which discuss and solve, or
attempt to solve, antecedent problems, this book helps to
discover the roots of modern problems, ideas, and concepts, even
whole subjects.
Aug. 1998 345 pp.
3-540-98434-8/98433-X (Paper ed.)
Springer
Bix, R. :
Conics and Cubics:
A Concrete Introduction to Algebraic Curves
An accessible introduction to algebraic curves. By focusing
on curves of maximum three degrees, the results remain tangible
and the proofs transparent. The theorems follow naturally from
high school algebra and two key ideas: homogeneous coordinates
and intersection multiplicities. The book includes a simple proof
of Bezout's Theorem on the number of intersections of any two
curves without common factors.
July 1998 300 pp.
3-540-98401-1
Springer
Smith, L. :
Linear Algebra, 3rd ed.
This popular and successful text was originally written
for a one-semester course in linear algebra
at the sophomore undergraduate level.
Students at this level generally have had little contact with
complex numbers or abstract mathematics,
so the book deals almost exclusively with real finite dimensional vector spaces,
but in a setting and formulation
that permits easy generalization to abstract vector spaces.
The goal of the first two editions was the principal axis theorem
for real symmetric linear transformation.
The principal axis
theorem becomes the first of two goals for this new edition.
A wide selection of examples of vector spaces and linear transformation
is presented to serve as a testing ground for the theory.
In the second edition, a new chapter on Jordan normal form was added
which reappears here in expanded form as the second goal
of this new edition, along with applications to differential systems.
June 1998 452 pp.
3-540-98455-0
Springer
Arnold, B. / Balakrishnan, B. / Nagaraja, N. :
Records
Records in areas such as weather, sports, hydrology, and the
stock market have lways interested both the specialist and the
general public. The theory of records was formulated by Chandler
in 1952 and since that time numerous journal artcles have
appeared. Several books on order statistcs and related processes
have chapters on record value.However, until the present volume,
no single source for record value results had been assembled.
Records describes not only the theory but the applied work that
has been carried out relating to sequences of record values.
Aug. 1998 336 pp.
0-471-08108-6
John Wiley
Meeker,W. /Escobar, L.:
Statistical Methods for Reliability Data
Over the past decade there has been a heightened interest in
improve-ing quality, productivity and reliability of manufactured
products, involving a great deal of focus on statistical
techniques of experimental design and statistical process
control. There is widespread belief that the area of reliability
will be the next to to receive a high degree of emphasis. The
purpose of this book is to bring modern methods for analysing
reliability data and planning reliability studies to textbook
format.
Aug. 1998 720 pp.
0-471-14328-6
John Wiley
Taira Kazuaki : （平 和昭 著）
Brownian Motion and Index Formulas for the de Rham Complex
This book is an easy-to-ead reference providing a link between
partial differential equations (pde), stochastic analysis, and index theory.
Most mathematicians working in pde are only vaguely familiar with
the powerful ideas of stochastic analysis.
On the other hand, the additional intuituin which Taira's book
conveys might provide better insight and be helpful for their work.
In addition, the bok provides a nice compendium for a larfe variety of facts from
differential geometry, functional analysis, pseudodifferential operators,
and Markov processes - for quickly looking up a theorem.
Oct. 1998 180 pp.
3-527-40139-3