Applied and Numerical Harmonic Analysis

Stochastic Models, Information Theory, and Lie Groups, Volume 2

Analytic Methods and Modern Applications

Authors: Chirikjian, Gregory S.

  • Unique work: the only book to use tools and concepts from several mathematical areas usually treated in separate books—stochastic processes, information theory, and Lie theory—thereby building bridges between topics rarely studied by the same individuals
  • Extensive exercises and numerous examples used to motivate concepts with an emphasis on modeling physical phenomena
  • Concrete presentation makes it easy for readers to obtain numerical solutions for their own problems
  • Applications to a variety of areas, including conformational fluctuations of DNA, infotaxis, statistical mechanics, and biomolecular information theory
  • Suitable as a textbook for advanced undergraduate and graduate courses in applied stochastic processes or differential geometry
  • For a broad audience of advanced undergraduate and graduate students, researchers, and practitioners in applied mathematics, the physical sciences, and engineering
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eBook $59.99
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  • ISBN 978-0-8176-4944-9
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  • Immediate eBook download after purchase
Hardcover $79.99
price for USA
  • ISBN 978-0-8176-4943-2
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About this Textbook

The subjects of stochastic processes, information theory, and Lie groups are usually treated separately from each other. This unique two-volume set presents these topics in a unified setting, thereby building bridges between fields that are rarely studied by the same people. Unlike the many excellent formal treatments available for each of these subjects individually, the emphasis in both of these volumes is on the use of stochastic, geometric, and group-theoretic concepts in the modeling of physical phenomena.

Volume 2 builds on the fundamentals presented in Volume 1, delving deeper into relationships among stochastic geometry, geometric aspects of the theory of communications and coding, multivariate statistical analysis, and error propagation on Lie groups. Extensive exercises, motivating examples, and real-world applications make the work suitable as a textbook for use in courses that emphasize applied stochastic processes or differential geometry.

Stochastic Models, Information Theory, and Lie Groups will be of interest to advanced undergraduate and graduate students, researchers, and practitioners working in applied mathematics, the physical sciences, and engineering.

Table of contents (13 chapters)

  • Lie Groups I: Introduction and Examples

    Chirikjian, Gregory S.

    Pages 1-54

  • Lie Groups II: Differential-Geometric Properties

    Chirikjian, Gregory S.

    Pages 55-78

  • Lie Groups III: Integration, Convolution, and Fourier Analysis

    Chirikjian, Gregory S.

    Pages 79-127

  • Variational Calculus on Lie Groups

    Chirikjian, Gregory S.

    Pages 129-154

  • Statistical Mechanics and Ergodic Theory

    Chirikjian, Gregory S.

    Pages 155-185

Buy this book

eBook $59.99
price for USA (gross)
  • ISBN 978-0-8176-4944-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $79.99
price for USA
  • ISBN 978-0-8176-4943-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Stochastic Models, Information Theory, and Lie Groups, Volume 2
Book Subtitle
Analytic Methods and Modern Applications
Authors
Series Title
Applied and Numerical Harmonic Analysis
Copyright
2012
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-0-8176-4944-9
DOI
10.1007/978-0-8176-4944-9
Hardcover ISBN
978-0-8176-4943-2
Series ISSN
2296-5009
Edition Number
1
Number of Pages
XXVII, 435
Topics