(Paperback)

Suitable for students and researchers in political science and sociology, this book begins with the fundamental building blocks of mathematics and basic algebra, then goes on to cover essential subjects such as calculus in one and more than one variable, including optimization, constrained optimization, and implicit functions.

(Hardback)

(Paperback, 4th edition)

An updated edition of the essential textbook for students of economics at every level, with comprehensive -- .

(Paperback)

Self-contained treatment of all the mathematics needed by undergraduate and masters-level students of economics starting from a very low level. Topics covered include calculus, matrix algebra, probability, dynamics and static and dynamic optimisation, all illustrated by examples and problems from central areas of modern economics.

(Hardback, Main)

Discover the hidden maths behind every modern technology.

(Hardback)

This is the most authoritative and accessible single-volume reference book on applied mathematics. Featuring numerous entries by leading experts and organized thematically, it introduces readers to applied mathematics and its uses; explains key concepts; describes important equations, laws, and functions; looks at exciting areas of research; covers

(Hardback)

Recognizing that robust decision making is vital in risk management, this book provides concepts and algorithms for computing the best decision in view of the worst-case scenario. The main tool used is minimax, which ensures robust policies with guaranteed optimal performance that will improve further if the worst case is not realized.

(Paperback)

Describes an invariant, l, of oriented rational homology 3-spheres which is a generalization of work of Andrew Casson in the integer homology sphere case.

(Hardback)

This book is for students taking either a first-year graduate statistics course or an advanced undergraduate statistics course in Psychology. The book is highly user-friendly without sacrificing rigor, not only in anticipating students' questions, but also in paying attention to the introduction of new methods and notation.

(Paperback)

The classical Melnikov method provides information on the behavior of deterministic planar systems that may exhibit transitions, that is it escapes from and captures into preferred regions of phase space. This book develops a unified treatment of deterministic and stochastic systems.

(Hardback)

Brings together a number of lectures given between 1993 and 1999 as part of a series hosted by the Federal University of Pernambuco, in which researchers came to Recife, Brazil, to lecture on classical or celestial mechanics. This work is aimed at graduate students and researchers interested in Hamiltonian dynamics and celestial mechanics.

(Paperback)

Annals of Mathematics Studies: Number 41The present volume of the Contributions, fourth in the series, covers, like its predecessors, a great variety of topics in non-linear differential equations.

(Hardback)

Splines, both interpolatory and smoothing, have a long and rich history that has largely been application driven. This book unifies these constructions in a comprehensive and accessible way, drawing from various methods and applications to show how they arise naturally in the theory of linear control systems.

(Hardback)

(Paperback, Revised edition)

An introduction to dynamic programming, presented by the scientist who coined the term and developed the theory in its early stages. It introduces the author's theory and furnishes a new and versatile mathematical tool for the treatment of many complex problems, both within and outside of the discipline.

(Paperback)

(Paperback)

(Paperback)

Fuzzy logic is the next wave in technology. Japanese electronics giants have, in the last ten years, already staked their commercial future on the benefits of fuzzy production; naturally, only recently have European and US companies begun to catch up. This book looks at fuzzy thinking.

(Paperback)

Higher category theory is generally regarded as technical and forbidding, but part of it is considerably more tractable: the theory of infinity-categories, higher categories in which all higher morphisms are assumed to be invertible. This title presents the foundations of this theory.

(Paperback)

Invites readers to explore many of the same fundamental questions that working engineers deal with every day. This title illustrates how physical models are created from abstract mathematical ones.

(Hardback)

Develops a general analysis and synthesis framework for impulsive and hybrid dynamical systems. This book is written from a system-theoretic point of view and is intended for graduate students, researchers, and practitioners of engineering and applied mathematics as well as computer scientists, physicists, and other scientists.

(Hardback, Second Edition)

(Paperback)

The formulation, analysis, and re-evaluation of mathematical models in population biology has become a valuable source of insight to mathematicians and biologists alike. This book presents an overview and selected sample of these results and ideas, organized by biological theme rather than mathematical concept.

(Paperback, Second Edition)

Beginning with preliminaries on sets, functions, and relations, this book covers the major topics in matrix theory, including matrix transformations; polynomial matrices; matrix decompositions; generalized inverses; Kronecker and Schur algebra; positive-semidefinite matrices; vector and matrix norms; and matrix exponential and stability theory.