An Introduction to Kolmogorov Complexity and Its Applications *US HARDCOVER* 4th Ed. by Ming Li, Paul Vitányi - {9783030112974}

  • Condition: Brand New.
  • Author: Li, Ming
  • ISBN13: 9783030112974
  • ISBN10: 3030112977
  • Type: Hardcover Book.
  • Language : English
  • Item Weight: 2.396
  • Dimensions: 18.4 x 26 x 5.1

By: Li, Ming Availability: In Stock Condition: Brand New.

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"An Introduction to Kolmogorov Complexity and Its Applications"

Fourth Edition by M. Li and P. Vitanyi

This revised edition delves into the concept of Kolmogorov complexity (KC), a core principle in information theory that measures the information content of any object, such as a string, program, or data set. The book caters to:

  • Computer scientists and mathematicians: Interested in information theory, computational complexity, and algorithmic learning theory.
  • Researchers: Seeking to understand the fundamentals of KC and its diverse applications.

Key Features:

  • Self-contained and Accessible: Introduces the necessary mathematical background, making it suitable for readers with varying levels of prior knowledge.
  • Historical Perspective: Provides context by tracing the development of KC and highlighting key figures in the field.
  • Comprehensive Coverage: Explores various aspects of KC, including:
    • Definitions and fundamental properties
    • Algorithmic randomness and related tests
    • Applications in information theory, learning theory, and computational complexity
    • Physical aspects and connections to thermodynamics
  • Extensive Learning Resources: Includes:
    • Problem sets to reinforce understanding
    • Historical notes for deeper context
    • References for further exploration
    • Online solutions for selected problems (available separately)

Summary:

This comprehensive and revised edition of "An Introduction to Kolmogorov Complexity and Its Applications" serves as a valuable resource for students and researchers interested in understanding the theoretical foundation and diverse applications of KC. The book's self-contained approach, historical context, and in-depth coverage make it a valuable resource for anyone seeking to delve into this intriguing and fundamental concept of information theory.