In this high-level mathematical treatment, a distinguished Russian mathematician introduces the mathematical underpinnings of quantum statistics in a manner accessible to both mathematicians and physicists. The book is aimed primarily at mathematicians, however, who will need only an elementary grasp of quantum physics to appreciate the author's well-organized and clearly written presentation. Beginning with preliminary concepts in the theory of probability, the text opens with a discussion and complete proofs of the limit theorems used in the main sections of the book. Proceeding to preliminary concepts and general principles of quantum mechanics, it examines the basis of the computational methods of quantum statistics and illustrates the means to achieve the statisticians' most important initial task: the determination of the mean values of occupation numbers. In addition, the foundations of the statistics of photons and material particles receive ample review. Supplements to the concluding chapter on thermodynamics explore the distribution of a component and its energy, the principle of canonical averaging, symmetric functions on multidimensional surfaces, and other related topics.

Mathematical Foundations of Quantum Statistics (Dover Books on Mathematics)

Science & Math

MATHEMATICS

Khinchin, A. Y.

Mathematics

Dover Publications

These three puzzles involve the proof of a basic law governing the world of numbers known to be correct in all tested cases — the problem is to prove that the law is always correct. Includes van der Waerden's theorem on arithmetic progressions, the Landau-Schnirelmann hypothesis and Mann's theorem, and a solution to Waring's problem. Proofs and explanations of the answers included.

Three Pearls of Number Theory (Dover Books on Mathematics)

Written by a prominent Russian mathematician, this concise monograph examines aspects of queuing theory as an application of probability. The three-part treatment begins with a study of the stream of incoming demands (or "calls," in the author's terminology). Subsequent sections explore systems with losses and systems allowing delay. Prerequisites include a familiarity with the theory of probability and mathematical analysis. A. Y. Khinchin made significant contributions to probability theory, statistical physics, and several other fields. His elegant, groundbreaking work will prove of substantial interest to advanced undergraduates, graduate students, and professionals in the fields of statistics, probability, and operations research.

Mathematical Methods in the Theory of Queuing (Dover Books on Mathematics)

See the best price to sell, buy, or rent books by Khinchin, A. Y.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Khinchin, A. Y.

See the best price to sell, buy, or rent books by Khinchin, A. Y.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Mathematical Foundations of Quantum Statistics (Dover Books on Mathematics)

Three Pearls of Number Theory (Dover Books on Mathematics)

Mathematical Methods in the Theory of Queuing (Dover Books on Mathematics)