Books in the Cambridge IISc Series series

Useful text in the field of computer science, providing a different methodology in the project knowledge management domain for keeping the documents updated. The methodology known as Knowledge Driven Development is exhaustive, structured and flexible as compared to other techniques.

Noncommutative mathematics is a significant new trend of mathematics. Initially motivated by the development of quantum physics, the idea of 'making theory noncommutative' has been extended to many areas of pure and applied mathematics. This book is divided into two parts. The first part provides an introduction to quantum probability, focusing on the notion of independence in quantum probability and on the theory of quantum stochastic processes with independent and stationary increments. The second part provides an introduction to quantum dynamical systems, discussing analogies with fundamental problems studied in classical dynamics. The desire to build an extension of the classical theory provides new, original ways to understand well-known 'commutative' results. On the other hand the richness of the quantum mathematical world presents completely novel phenomena, never encountered in the classical setting. This book will be useful to students and researchers in noncommutative probability, mathematical physics and operator algebras.

A useful guide explaining the theory and algorithms of finite element methods, with a focus on Sobolov spaces, finite element spaces, biharmonic equations, and parabolic problems. Numerous solved examples and mathematical theorems make it useful for graduate students.

A useful guide explaining principles of ordinary differential equations with focus on real-life applications. It offers detailed discussion on first and second order linear equations, qualitative theory and initial value problems. Numerous exercises, mathematical theorems and their proofs make it useful for graduate students.

A comprehensive textbook covering fundamental concepts of biomaterials science and tissue engineering with applications and case studies. Numerous pedagogical features such as multiple choice questions, review questions, numerical problems and solutions to selected problems make it suitable for undergraduate and graduate students.

A valuable text in the field of mathematics, written by eminent scientists, covering fundamental concepts of von Neumann algebras. The text will be useful to graduate students and academic researchers in operator algebras, noncommutative geometry and free probability theory.

The first edition of this book appeared in 1981 as a direct continuation of Lectures of von Neumann Algebras (by S.V. Stratila and L. Zsido) and, until 2003, was the only comprehensive monograph on the subject. Addressing the students of mathematics and physics and researchers interested in operator algebras, noncommutative geometry and free probability, this revised edition covers the fundamentals and latest developments in the field of operator algebras. It discusses the group-measure space construction, Krieger factors, infinite tensor products of factors of type I (ITPFI factors) and construction of the type III_1 hyperfinite factor. It also studies the techniques necessary for continuous and discrete decomposition, duality theory for noncommutative groups, discrete decomposition of Connes, and Ocneanu's result on the actions of amenable groups. It contains a detailed consideration of groups of automorphisms and their spectral theory, and the theory of crossed products.