(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.

(Hardback)

Presents and develops an extensive treatment of stability analysis and control design of nonlinear dynamical systems, with an emphasis on Lyapunov-based methods. This graduate-level textbook is suitable for applied mathematicians, dynamical systems theorists, control theorists, and engineers.

(Hardback)

Presents a framework for stability and dissipativity analysis and control design for nonnegative and compartmental dynamical systems, which play a key role in various fields, such as engineering, thermal sciences, biology, ecology, economics, genetics, chemistry, medicine, and sociology. This title is suitable for control theorists and engineers.

(Hardback)

Many problems in the sciences and engineering can be rephrased as optimization problems on matrix search spaces endowed with a so-called manifold structure. This book shows how to exploit the special structure of such problems to develop efficient numerical algorithms. It is of interest to applied mathematicians, and computer scientists.

(Hardback)

Offers a modern and authoritative treatment of the mathematical processes that underlie performance modeling. This book looks at the fundamentals of probability theory, from the basic concepts of set-based probability, through probability distributions, to bounds, limit theorems, and the laws of large numbers.

(Paperback)

Presents a framework for the theory of primal-dual IPMs based on the notion of the self-regularity of a function. This book deals with linear optimization, nonlinear complementarity problems, semidefinite optimization, and second-order conic optimization problems.

(Hardback)

The modeling of stochastic dependence is fundamental for understanding random systems evolving in time. With an historical overview, this book describes the state of knowledge about selfsimilar processes and their applications. It emphasizes concepts, definitions and basic properties, giving the reader a road map of the realm of selfsimilarity.

(Paperback)

Uses the phenomenon called 'six degrees of separation' as a prelude to a more general exploration: under what conditions can a small world arise in any kind of network This book is intended for a variety of fields, including physics and mathematics, as well as sociology, economics, and biology.

(Paperback)

Addressing physicists and mathematicians alike, this book discusses the finite dimensional representation theory of sl(2), both classical and quantum. Covering representations of U(sl(2)), quantum sl(2), the quantum trace and color representations, and the Turaev-Viro invariant, it is useful to graduate students and professionals.

(Hardback)

Scholars in various fields are exploring similar ideas to combat indeterminism when conditions seem chaotic and prohibit the use of a rigid program approach, even with probabilities.

(Paperback)

A guide to the mathematical modeling of marriage.

(Hardback)

Teaches how simple mathematics can help formulate and solve real problems of research interest in a range of fields, including biology, ecology, computer science, geophysics, engineering, and the social sciences. This book also includes traditional modeling topics such as predator-prey interaction, harvesting, and wars of attrition.

(Hardback)

Presents a study of the theory of totally nonnegative matrices, defined by the nonnegativity of subdeterminants. This title explores methodological background, historical highlights of key ideas, and specialized topics.

(Hardback)

Provides a comprehensive introduction to the theory and practice of validated numerics, a field that combines the strengths of scientific computing and pure mathematics. This title features many examples, exercises, and computer labs using MATLAB/C++. It is suitable for graduate students and advanced undergraduates.

(Paperback)

Provides a comprehensive introduction to the theory and practice of validated numerics, a field that combines the strengths of scientific computing and pure mathematics. This title features many examples, exercises, and computer labs using MATLAB/C++. It is suitable for graduate students and advanced undergraduates.

(Paperback)

X and the City, a book of diverse and accessible math-based topics, uses basic modeling to explore a wide range of entertaining questions about urban life. How do you estimate the number of dental or doctor's offices, gas stations, restaurants, or movie theaters in a city of a given size How can mathematics be used to maximize traffic flow through

(Hardback)

(Paperback, Main)

Discover the hidden maths behind every modern technology.

(Paperback)

Revised and updated edition of the classic of advanced statistics. Uses concepts of gambling to develop important ideas in probability theory. "Strongly recommended." - Journal of the American Statistical Association. 2014 edition.

(Paperback)

Well-written and accessible, this classic introductory treatment offers examples of the wide variety of empirical phenomena for which stochastic processes provide mathematical models and develops the methods of probability model-building. 1962 edition.

(Hardback)

How do mathematical models shape our world - and how can we harness their power for good