Anita Burdman Feferman, Solomon Feferman

Alfred Tarski, one of the greatest logicians of all time, is widely thought of as 'the man who defined truth'. A charismatic teacher and zealous promoter of his view of logic as the foundation of all rational thought, he was also a bon-vivant and a womanizer. A fortuitous trip to the United States at the outbreak of war saved his life and turned his career around, even while it separated him from his family for years. By the war's end he was a professor of mathematics in Berkeley, building an empire in logic and methodology. From the cafes of Warsaw and Vienna to the mountains and deserts of California, this first full length biography places Tarski in the social, intellectual and historical context of his times and presents a frank, vivid picture of a personally and professionally passionate man, interlaced with an account of his major scientific achievements.

Stephen Senn

Stephen Senn explains here how statistics determines many decisions about medical care, from allocating resources for health, to determining which drugs to license, to cause-and-effect in relation to disease. He tackles big themes: clinical trials and the development of medicines, life tables, vaccines and their risks or lack of them, smoking and lung cancer and even the power of prayer. He shows why reasoning with probability is essential to making rational decisions in medicine, and how it guides us when faced with choices that affect our health and even life.

Ioan James introduces and profiles sixty mathematicians, all born between 1700 and 1910, an era which saw mathematics freed from its classical origins to develop into its modern form. The book is organised chronologically into ten chapters, each of which contains potted life stories of six mathematicians, all of whom made an important contribution to mathematics, through their ideas, their teaching, their influence, and so on. They are sufficiently representative that their stories, when read in sequence, convey in human terms something of the way in which mathematics developed.

BLURB

John Swallow

Combining a concrete perspective with an exploration-based approach, Exploratory Galois Theory develops Galois theory at an entirely undergraduate level. The text grounds the presentation in the concept of algebraic numbers with complex approximations and assumes of its readers only a first course in abstract algebra. For readers with Maple or Mathematica, the text introduces tools for hands-on experimentation with finite extensions of the rational numbers, enabling a familiarity never before available to students of the subject. The text is appropriate for traditional lecture courses, for seminars, or for self-paced independent study by undergraduates and graduate students.

Teo Mora

This is the first in a three-volume handbook presenting classical and modern work on polynomial equations, from the viewpoint of solution. Here, Mora covers the classical theory of finding roots of a univariate polynomial, emphasising computational aspects, especially the representation and manipulation of algebraic numbers, enlarged by more recent representations like the Duval Model and the Thom Codification. He shows that solving a polynomial equation really means finding algorithms that help one manipulate roots rather than simply computing them; to that end he also surveys algorithms for factorizing univariate polynomials.

I. Blake, G. Seroussi, N. Smart

This book summarizes knowledge built up within Hewlett-Packard over a number of years, and explains the mathematics behind practical implementations of elliptic curve systems. Due to the advanced nature of the mathematics there is a high barrier to entry for individuals and companies to this technology. Hence this book will be invaluable not only to mathematicians wanting to see how pure mathematics can be applied but also to engineers and computer scientists wishing (or needing) to actually implement such systems.

David Mumford, Caroline Series, David Wright

Felix Klein rediscovered in mathematics an idea from Eastern philosophy: the heaven of Indra contained a net of pearls, each of which was reflected in its neighbour. The whole Universe was mirrored in each pearl. For a century this idea, practically impossible to represent by hand, barely existed outside the imagination of mathematicians. In the 1980s the authors embarked on the first computer exploration of Klein's vision. Join them on the path from simple mathematics to computer programs that generate these images related to ideas at the forefront of knowledge.

George Boros, Victor Moll

The problem of evaluating integrals is well known to every student who has had a year of calculus. It was an especially important subject in 19th century analysis and it has now been revived with the appearance of symbolic languages. In this book, the authors use the problem of exact evaluation of definite integrals as a starting point for exploring many areas of mathematics, including analysis, number theory, algebra and combinatorics. The questions discussed here are as old as calculus itself. This will be a guided tour of exciting discovery for undergraduates and their teachers in mathematics, computer science, physics, and engineering.

Peter R. Cromwell

Knots and links are studied by mathematicians, and are also finding increasing application in chemistry and biology. Many naturally occurring questions are often simple to state, yet finding the answers may require ideas from the forefront of research. This readable and richly illustrated book explores selected topics in depth in a way that makes contemporary mathematics accessible to an undergraduate audience. Also included are discussion sections that cover historical aspects, motivation, possible extensions, and applications. The many examples and exercises show both the power and limitations of the techniques developed.

Jean Bertoin

This is an up-to-date and comprehensive account of the theory of Lévy processes. This branch of modern probability theory has been developed over recent years and has many applications in such areas as queues, mathematical finance and risk estimation. Professor Bertoin uses the interplay between the probabilistic structure and analytic tools to give a quick and concise treatment of the core theory, with the minimum of technical requirements. This will become the standard reference on the subject for all working probability theorists.

E. T. Jaynes, Edited by G. Larry Bretthorst

This book goes beyond the conventional mathematics of probability theory, viewing the subject in a wider context. New results are discussed, along with applications of probability theory to a variety of problems. It contains many exercises and is suitable for use as a textbook on graduate level courses involving data analysis. The material is aimed at readers who are already familiar with applied mathematics at an advanced undergraduate level or higher. The book will be of interest to scientists working in any area where inference from incomplete information is necessary.

G. K. Batchelor

First published in 1967, Professor Batchelor's classic text on fluid dynamics is still one of the foremost texts in the subject. The careful presentation of the underlying theories of fluids is still timely and applicable, even in these days of almost limitless computer power. This re-issue should ensure that a new generation of graduate students see the elegance of Professor Batchelor's presentation.

Elizabeth S. Allman, John A. Rhodes

This introductory textbook focuses on discrete models across a variety of biological subdisciplines, including linear and non-linear models of populations, Markov models of molecular evolution, phylogenetic tree construction from DNA sequence data, genetics, and infectious disease models. The book is suitable for students at a calculus level, but assumes no calculus. Self-contained development of mathematical topics, such as matrix algebra and basic probability, is motivated by the biological models. Computer investigations with MATLAB are incorporated throughout, in both exercises and more extensive projects, to give readers hands-on experience with the mathematical models developed.