Kalyan Sinha is a Distinguished Scientist in the Statistics-Mathematics Unit at the Indian Statistical Institute, New Dehli. Debashish Goswami is an Assistant Professor in the Statistics-Mathematics Unit at the Indian Statistical Institute, Kolkata.

"The authors, two of the best-known experts in the field, provide a book which should find its place on the bookshelf of everybody who is interested in applying quantum stochastic calculus to advanced problems. In particular, anyone who wants to take up the challenge launched by the authors to include noncommutative manifolds in the discussion will welcome this book as the only source available." Michael Skeide, Mathematical Reviews

• 1. Introduction; 2. Preliminaries; 3. Quantum dynamical semigroups; 4. Hilbert modules; 5. Quantum stochastic calculus with bounded coefficients; 6. Dilation of quantum dynamical semigroups with bounded generator; 7. Quantum stochastic calculus with unbounded coefficients; 8. Dilation of quantum dynamical semigroups with unbounded generator; 9. Noncommutative geometry and quantum stochastic processes; Bibliography; Index.

Kalyan Sinha is a Distinguished Scientist in the Statistics-Mathematics Unit at the Indian Statistical Institute, New Dehli. Debashish Goswami is an Assistant Professor in the Statistics-Mathematics Unit at the Indian Statistical Institute, Kolkata.

"The authors, two of the best-known experts in the field, provide a book which should find its place on the bookshelf of everybody who is interested in applying quantum stochastic calculus to advanced problems. In particular, anyone who wants to take up the challenge launched by the authors to include noncommutative manifolds in the discussion will welcome this book as the only source available." Michael Skeide, Mathematical Reviews

• 1. Introduction; 2. Preliminaries; 3. Quantum dynamical semigroups; 4. Hilbert modules; 5. Quantum stochastic calculus with bounded coefficients; 6. Dilation of quantum dynamical semigroups with bounded generator; 7. Quantum stochastic calculus with unbounded coefficients; 8. Dilation of quantum dynamical semigroups with unbounded generator; 9. Noncommutative geometry and quantum stochastic processes; Bibliography; Index.