Publication

2012 - Springer

Language

English

Word Count

56,500 words, Guess

Page Count

226 pages

Identifiers

  • ISBN-139789401116480
  • ISBN-109401116482
  • Better World Books9789401116480
  • Open LibraryOL37423495M

Classifications

  • LCCQA252-252.5

Description

This is the first of three volumes which present, in an original way, some of the most important tools of applied mathematics, in areas such as probability theory, operator calculus, representation theory, and special functions, used in solving problems in mathematics, physics and computer science. Volume I - Representations and Probability Theory - deals with probability theory in connection with group representations. It presents an introduction to Lie algebras and Lie groups which emphasises the connections with probability theory and representation theory. The book contains an introduction and seven chapters which treat, respectively, noncommutative algebra, hypergeometric functions, probability and Fock spaces, moment systems, Bernoulli processes/systems, and matrix elements. Each chapter contains exercises which range in difficulty from easy to advanced. The text is written so as to be suitable for self-study for both beginning graduate students and researchers. For students, teachers and researchers with an interest in algebraic structures and operator calculus.

Subjects

Other Editions

  • Algebraic Structures and Operator Calculus : Volume ISpringer2012

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