Megginson, R. E. :
An Introduction to Banach Space Theory
Many important reference works have appeared since Banach's
Theorie des Operations Lineaires: the impetus for the development
of modern space theory. While these works are classical starting
points for the graduate students wishing to do research in Banach
space theory, they can be formidable reading for the student who
has just completed a course in measure theory and would like to
know more about Banach Spaces in general. The purpose of this
book is to bridge this gap and provide an introduction to the
general theory of Banach spaces and functional analysis. The book
presents students for further study of both the classical works
and current research. It is accessible to students who have had a
course in real and complex analysis and understand the basic
properties of Lp spaces. The book is sprinkled liberally with
examples, historical notes, citations, and original souces.
1998 616 pp.
3-540-98431-3
Springer
Migliore, J. C. :
Introduction to Liaison Theory and Deficiency Modules
This book carefully examines liaison theory and deficiency
modules from basic principles, taking a geometric approach to the
subject. The focus is on the role of deficiency modules in
algebraic geometry, particularly with respect to Liaison Theory,
which is treated here both as a subject in itself and as a rich
tool. The structure and classification of liaison classes are
explored, and a variety of ways are described in which Liaison
has been applied to geometric questions. The classical study of
liaison via complete intersections is compared and contrasted
with the relatively new study of the subject via arithmetic
Gorenstein ideals.
July 1998 224 pp.
3-7643-4027-4
Birkhauser
Balog, A. /Katona, G. / Sza'sz, D. / Recski, A. :
European Congress of Mathematics, Budapests, 1996: Vol. 1- 2
Volume I presents the speeches delivered at the Congress, the
list of lectures, and short summaries of the achievements of the
prize winners. Together with volume II it contains a collection
of contributions by the invited lectures. Finally, volume II also
presents reports on some of the Round Table discussions.
July 1998 336/402 pp.
3-7643-5497-6/5498-4 Vol. 1-2
3-7643-5496-8 Two Volume Set
Birkhasuer
General Lattice Theory,
2nd, Completely Revised Edition
The core of General Lattice Theory combines the advantages of an introductory text
with those of a monograph to introduce the general reader to lattice theory
and to bring the expert up to date on the most recent developments.
The first chapter, along with a selection of topics from later chapters,
can serve as an introductory course covering first concepts, distributive, modular, semimodular,
and geometric lattices, and so on. About 900 exercises and almost 130 diagrams
help the beginner to learn the basic results and important techniques.
The latter parts of each chapter give deeper developm-ents of
the fields mentioned above and there are chapters on equational classes (Varieties)
and free the almost 200 research problems, the extensive bibliography,
and the further topics and references at the end of each chapter of special use.
In this present edition, the work has been significantly updated and expanded.
July. 1998 616 pp.
3-7643-5239-6
Birkhauser
Handbook of Mathematics and Computational Science
This Book is a complete desktop reference for working
scientists, engineers, and student. It serves as a veritable math
tool-box for rapid access to a wealth of mathematics information
for everyday use in problem solving, homework, examinations,
etc.. This complete reference covers practical mathematics---
from arithmetic to statistics, algebra to calculus. It also
covers the use of numerical or algebraic methods and computing
software algorithms, which increasingly supplement methods of
analytical mathematics used today in both education and practice.
Aug. 1998 1028 pp.
3-540-94746-9
Springer
Berberian, S. :
Fundamentals of Real Analysis
Integration theory and general topology form the core of this
text-book for a first-year graduate course in real analysis.
After the foundational material in the first chapter
(construction of the real, cardinal and ordinal numbers, Zorn's
lemma and transfinite induction), measure, integral and topology
are introduced and developed as recurrent themes of increasing
depth.
Oct. 1998 536 pp.
3-540-98480-1
Springer
Crabb, M. / James, I. :
Fiberwise Homotopy Theory
Topology occupies a central position in the mathematics of today.
The concepts of the fiber bundle provides an appropriate framework
for studying differential geometry.
There is a large amount of literature on this subject already,
so this book fulfils its aim of being a research stimulant and develops theories
such as Homotopy, equivariant homotopy, fiberwise homotopy and much more.
Sep. 1998 341 pp.
1-85233-014-7
Springer
The Four-Color Theorem
This elegant little book discusses a famous problem that
helped to define the field now known as topology: What is the
minimum number of colors required to print a maps so that no two
adjoining countries have the same color? This problem remained
unsolved until the 1950s, when it was finlly cracked using a
computer. This book discusses the history and mathematics of the
problem, as well as the philosophical debte which ensued,
regarding the validity of computer generated proofs.
July 1998 225 pp.
3-540-98497-6
Springer
Wallace, D. :
Groups, Rings and Fields
Single and Double Sampling, 2nd ed.
Wallace, D. has writteen a text on modern algebra which is suitable
for a second year course in the subject given to mathematics undergraduates.
It aims to promote a feeling for the evoluionary and historical develoment of algebr.
It assumes some familiarity with complex numbers, matrrices
and linear algebra which are common-ly taught during
the first year of an undergraduate course.
Each chapter contains examples, exercises and solutions,
perfectly suited to aid self-study. All argumants in the text are carefully
crafted to promote understanding and enjoyment for the reader.
Aug. 1998 248 pp.
3-540-76177-2
Springer
MacLane, S. :
Categories for the Working Mathematician, 2nd ed.
an array of general ideas useful in a wide variety of fields.
Starting from the foundations, this book illuminates the concepts
of category, functor, natural transformation, and duality.
It then turns to adjoint functors, which provide a description of
universal constructions, an analysis of the representations of
functors by sets of morphisms, and a means of manipulating direct and inverse limits.
These categorical concepts are extensively illustrated in the remaining chapters,
which include many applications of the basic exitence theorem for adjoint functors.
The categories of algebraic systems are constructed from certain
adjoint-like data and characterised by Beck's theorem.
After considering a variety of applications, the book continues
with the construction and exploitation of Kan extensions.
Sep. 1998 355 pp.
3-540-98403-8
Springer
Springer Finance is a new programme of books aimed at
students, academics and practioners working on increasingly
technical approaches to the analysis of financial markets. It
aims to cover a variey of topics, not only mathematical finance
but foreign exchanges, term structure, risk managements,
portfolio theory, equity derivatives and fincial economics.
Bingham, N. :
Risk-Neutral Valuation
Pricing and Hedging of Financial Derivetives
It provides a valuable introduction to Mathematical Finance
for Graduate Students, and also comprehensive coverage of
financial subjects which should also stimulate practioners of the
subject. Based on a graduate course given to practioners of
Finance, the book identifies a clear gap in the market of
Mathematical Finance.
Aug. 1998 290 pp.
1-85233-001-5
Springer
Goldreich, O. :
Modern Cryptography, Probabilistic Proofs and
Pseudorandomness
The book focuses on three related areas in the theory of
computation. The areas are modern crytography, the study of
probabilistic proof systems, and the theory of computational
pseudorandomness. The commom theme is the interplay between
randomness and computation. The book offers an introduction and
extensive survey to each of these areas, presenting both the
basic notions and the most important (sometimes advanced)
results. The presentation is focused on the essentials and dose
not ellaborate on details. In some cases it offers a novel and
illuminating perspective.
Nov. 1998 200 pp.
3-540-64766-X
Springer
Jungnickel, D. :
Graphs, Networks and Algorithms
From the reviews of the German edition:
Combinatorical optimization, along with graph algortihms and complexity theory is booning.
This book trats the most prominent problems whichare polynomially solvable.
The Travelling Salesman Problem is discussed as a paradigm of an NP-complete problem.
The text is well written, most exercises are quite enlightening and
the hints are clear. Algorithms are described very thoroughly.
Oct. 1998 588 pp.
3-540-63760-5
Springer
Laywine, C. / Mullen, G. :
Discrete Mathematics Using Latin Squares
Discrete Mathematics Using Latin Squares Although research
into the theory of Latin squares has grown at a fast pace over
the last two decades, there is a considerable lack of published
material in this area. Written by well-known researchers and
authors in the field, this book approaches the topic of Latin
Squares from an intuitive angle to offer readers unique insight
into various areas of discrete mathematics.
Sep. 1998 328 pp.
0-471-24064-8
John Wiley
Miller, R. G.:
Survival Analysis
The Wiley Classics Library consists of selected books that have
become recognised classics in their respective fields.
This is the latest work in the series.
Contents
Parametric Models; Nonparametric Methods: One Sample; Nonparametric Methods:
Two Samples: K Samples; Regression; Goodness for Fit
Sep. 1998 238 pp.
0-471-25548-3
John Wiley
Dodge, H. / Romig, H. :
Sampling Inspection Tables:
Single and Double Sampling, 2nd ed.
Sampling inspection tables are used as a method of statistical quality control
and provide the basis of modern statistical process control and acceptance sampling.
Sep. 1998 240 pp.
0-471-25549-1
John Wiley