Cambridge's respected mathematics and statistics lists seek to combine an innovative and cutting edge approach with the highest standards of scholarship, writing and production across the whole range of the discipline. This encompasses everything from academic monographs to student textbooks. We aim to reflect the latest developments in research, and also to provide materials for graduate and undergraduate students.

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Dragos Cvetkovic, Peter Rowlinson, Slobodan Simic

This introductory text explores the theory of graph spectra: a topic with applications across a wide range of subjects, including computer science, quantum chemistry and electrical engineering.

Gordon Blower

This book focuses on the behavior of large random matrices. Standard results are covered, and the presentation emphasizes elementary operator theory and differential equations, so as to be accessible to graduate students and other non-experts.

R. Bautista, L. Salmeron, R. Zuazua

This volume provides a systematic presentation of the theory of differential tensor algebras and their categories of modules.

Models of Non-Reversible Worlds

Marco Grandis

This is the first authored book to be dedicated to the new field of directed algebraic topology that arose in the 1990s, in homotopy theory and in the theory of concurrent processes.

Pranab K. Sen, Julio M. Singer, Antonio C. Pedroso de Lima

This book is designed as a textbook for advanced undergraduate or beginning graduate students in statistics, biostatistics, or applied statistics but may also be used as a reference for academic researchers.

David C. M. Dickson, Mary R. Hardy, Howard R. Waters

Balancing rigor with intuition, and emphasizing applications, this text is ideal for university courses, but also for individuals preparing for professional actuarial exams and qualified actuaries wishing to freshen up their skills.

Jacques Sakarovitch, Translated by Reuben Thomas

Automata theory lies at the foundation of computer science, and is vital to a theoretical understanding of how computers work and what constitutes formal methods. This treatise gives a rigorous account of the topic and illuminates its real meaning by looking at the subject in a variety of ways.

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$145.00 (C)

Theory, Methods and Evaluation

Yiu-Kuen Tse

Actuaries must pass exams, but more than that: they must put knowledge into practice. This coherent book gives complete syllabus coverage for Exam C of the Society of Actuaries (SOA) while emphasizing the concepts and practical application of nonlife actuarial models.

John A. Trangenstein

Numerical Solution of Hyperbolic Partial Differential Equations is a new type of graduate textbook, with both print and interactive electronic components (on CD). It is a comprehensive presentation of modern shock-capturing methods, including both finite volume and finite element methods, covering the theory of hyperbolic conservation laws and the theory of the numerical methods.

Gustav I. Lehrer, Donald E. Taylor

This book gives a complete classification of all groups of transformations of n-dimensional complex space which are generated by complex reflections, using the method of line systems.

Oliver Buhler

This book gives a modern account of the nonlinear interactions between waves and mean flows such as shear flows and vortices.

Edited by S. Barry Cooper, Herman Geuvers, Anand Pillay, Jouko Vaananen

The Annual European Meeting of the Association for Symbolic Logic, also known as the Logic Colloquium, is among the most prestigious annual meetings in the field. The current volume with contributions from plenary speakers and selected special session speakers, contains both expository and research papers by some of the best logicians in the world.

Mourad E. H. Ismail

Coverage is encyclopedic in the first modern treatment of orthogonal polynomials from the viewpoint of special functions. It includes classical topics such as Jacobi, Hermite, Laguerre, Hahn, Charlier and Meixner polynomials as well as those (e.g. Askey-Wilson and Al-Salam--Chihara polynomial systems) discovered over the last 50 years and multiple orthogonal polynomials are discussed for the first time in book form.

A First Introduction to Categories

F. William Lawvere, Stephen H. Schanuel

In the last 60 years, the use of the notion of category has led to a remarkable unification and simplification of mathematics. Conceptual Mathematics, Second Edition, introduces the concept of 'category' for the learning, development, and use of mathematics, to both beginning students and general readers, and to practicing mathematical scientists.

Tamás Szamuely

Ever since the concepts of Galois groups in algebra and fundamental groups in topology emerged during the nineteenth century, mathematicians have known of the strong analogies between the two concepts. This book presents the connection starting at an elementary level, showing how the judicious use of algebraic geometry gives access to the powerful interplay between algebra and topology that underpins much modern research in geometry and number theory.

Steen Krenk

This book presents a theoretical treatment of nonlinear behavior of solids and structures in such a way that it is suitable for numerical computation, typically using the Finite Element Method.

Edited by James C. Robinson, Jose L. Rodrigo

Recent years have seen considerable research activity at the interface of mathematics and fluid mechanics, particularly partial differential equations. The 2007 workshop at the University of Warwick was organized to consolidate, survey and further advance the subject.

Notes on Verbal Width in Groups

Dan Segal

After a forty-year lull, the study of word-values in groups has sprung back into life with some spectacular new results in finite group theory. These are largely motivated by applications to profinite groups, including the solution of an old problem of Serre. This book presents a comprehensive account of the known results, both old and new.