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Understanding Mathematics
  • Language: en
  • Pages: 236

Understanding Mathematics

The book explains the 'hows' and 'ways' and also whets the appetite of a good student for more of good mathematics.

Quantum Stochastic Processes and Noncommutative Geometry
  • Language: en

Quantum Stochastic Processes and Noncommutative Geometry

The classical theory of stochastic processes has important applications arising from the need to describe irreversible evolutions in classical mechanics; analogously quantum stochastic processes can be used to model the dynamics of irreversible quantum systems. Noncommutative, i.e. quantum, geometry provides a framework in which quantum stochastic structures can be explored. This book is the first to describe how these two mathematical constructions are related. In particular, key ideas of semigroups and complete positivity are combined to yield quantum dynamical semigroups (QDS). Sinha and Goswami also develop a general theory of Evans-Hudson dilation for both bounded and unbounded coefficients. The unique features of the book, including the interaction of QDS and quantum stochastic calculus with noncommutative geometry and a thorough discussion of this calculus with unbounded coefficients, will make it of interest to graduate students and researchers in functional analysis, probability and mathematical physics.

Infinite Dimensional Stochastic Analysis
  • Language: en
  • Pages: 245

Infinite Dimensional Stochastic Analysis

This volume contains current work at the frontiers of research in infinite dimensional stochastic analysis. It presents a carefully chosen collection of articles by experts to highlight the latest developments in white noise theory, infinite dimensional transforms, quantum probability, stochastic partial differential equations, and applications to mathematical finance. Included in this volume are expository papers which will help increase communication between researchers working in these areas. The tools and techniques presented here will be of great value to research mathematicians, graduate students and applied mathematicians.

Lectures on Probability Theory
  • Language: en
  • Pages: 220

Lectures on Probability Theory

  • Type: Book
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  • Published: 2006-11-14
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  • Publisher: Springer

This book contains two of the three lectures given at the Saint-Flour Summer School of Probability Theory during the period August 18 to September 4, 1993.

Positive Definite Matrices
  • Language: en
  • Pages: 240

Positive Definite Matrices

This book represents the first synthesis of the considerable body of new research into positive definite matrices. These matrices play the same role in noncommutative analysis as positive real numbers do in classical analysis. They have theoretical and computational uses across a broad spectrum of disciplines, including calculus, electrical engineering, statistics, physics, numerical analysis, quantum information theory, and geometry. Through detailed explanations and an authoritative and inspiring writing style, Rajendra Bhatia carefully develops general techniques that have wide applications in the study of such matrices. Bhatia introduces several key topics in functional analysis, operato...

Handbook of Reagents for Organic Synthesis, Chiral Reagents for Asymmetric Synthesis
  • Language: en
  • Pages: 582

Handbook of Reagents for Organic Synthesis, Chiral Reagents for Asymmetric Synthesis

This handbook, edited by Leo A. Paquette, focuses on chiral reagents used in asymmetric synthesis and is designed for the chemist at the bench.

Environment and aerobiology
  • Language: en
  • Pages: 307

Environment and aerobiology

"The book presents a compendium of knowledge on general environment and acrobiology having 29 research articles classified under five sections, i.e., General Aerobiology having five papers, Aeropalynology having four papers, Aeromycology having seven papers, Epidemiology and Forecast having six papers and Allergy and Immunology having seven papers. These articles have been contributed by over 50 research workers."

Stochastic Analysis and Mathematical Physics
  • Language: en
  • Pages: 166

Stochastic Analysis and Mathematical Physics

  • Type: Book
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  • Published: 2000
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  • Publisher: Birkhauser

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An Introduction to Quantum Stochastic Calculus
  • Language: en
  • Pages: 290

An Introduction to Quantum Stochastic Calculus

"Elegantly written, with obvious appreciation for fine points of higher mathematics...most notable is [the] author's effort to weave classical probability theory into [a] quantum framework." â The American Mathematical Monthly "This is an excellent volume which will be a valuable companion both for those who are already active in the field and those who are new to it. Furthermore there are a large number of stimulating exercises scattered through the text which will be invaluable to students." â Mathematical Reviews An Introduction to Quantum Stochastic Calculus aims to deepen our understanding of the dynamics of systems subject to the laws of chance both from the classical and the quantum...