Skip to content
Register Sign in Wishlist

Probability and Information
An Integrated Approach

2nd Edition

  • Date Published: August 2008
  • availability: Available
  • format: Paperback
  • isbn: 9780521727884

Paperback

Add to wishlist

Other available formats:
Hardback, eBook


Request inspection copy

Lecturers may request a copy of this title for inspection

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • This updated textbook is an excellent way to introduce probability and information theory to new students in mathematics, computer science, engineering, statistics, economics, or business studies. Only requiring knowledge of basic calculus, it starts by building a clear and systematic foundation to the subject: the concept of probability is given particular attention via a simplified discussion of measures on Boolean algebras. The theoretical ideas are then applied to practical areas such as statistical inference, random walks, statistical mechanics and communications modelling. Topics covered include discrete and continuous random variables, entropy and mutual information, maximum entropy methods, the central limit theorem and the coding and transmission of information, and added for this new edition is material on Markov chains and their entropy. Lots of examples and exercises are included to illustrate how to use the theory in a wide range of applications, with detailed solutions to most exercises available online for instructors.

    • Integrated approach to probability and information suitable for pure or applied students
    • Illustrates a wide range of applications in science and mathematics
    • Modern, rigorous approach that needs only a background in basic calculus
    Read more

    Reviews & endorsements

    Reviews for the first edition: 'I found the book interesting and entertaining … The level of difficulty of the material is well judged …' D. A. Stephens, The Statistician

    'This text provides a blend of the traditional disciplines of probability theory and the relatively new field of information science in a well written manner … the author succeeds in introducing concepts of probability theory gently paced and user friendly as stated on page xi of the preface … The blend of probability theory and information science makes this an innovative text... The innovative blend of probability theory and information theory make this text a good choice for teachers wanting to present both a traditional background and modern ideas to their students.' Journal of the American Statistical Association

    'Reviewing this book was a pleasure. Clearly the author is delighted by his subject and this attitude is communicated well … this is an excellent book which will make a stimulating text for Honours courses in probability for applied mathematicians, statisticians, physicists or engineers' John M. Halley, The Statistician

    '… a nice introductory text for a modern course on basic facts in the theory of probability and information. The author always has in mind that many students, especially those specializing in informatics and/or technical sciences, do not often have a firm background in traditional mathematics. Therefore he attempts to keep the development of material gently paced and user-friendly.' EMS Newsletter

    See more reviews

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    Product details

    • Edition: 2nd Edition
    • Date Published: August 2008
    • format: Paperback
    • isbn: 9780521727884
    • length: 290 pages
    • dimensions: 247 x 174 x 14 mm
    • weight: 0.59kg
    • contains: 65 b/w illus. 3 tables 240 exercises
    • availability: Available
  • Table of Contents

    Preface to the first edition
    Preface to the second edition
    1. Introduction
    2. Combinatorics
    3. Sets and measures
    4. Probability
    5. Discrete random variables
    6. Information and entropy
    7. Communication
    8. Random variables with probability density functions
    9. Random vectors
    10. Markov chains and their entropy
    Exploring further
    Appendix 1. Proof by mathematical induction
    Appendix 2. Lagrange multipliers
    Appendix 3. Integration of exp (-½x²)
    Appendix 4. Table of probabilities associated with the standard normal distribution
    Appendix 5. A rapid review of Matrix algebra
    Selected solutions
    Index.

  • Resources for

    Probability and Information

    David Applebaum

    General Resources

    Find resources associated with this title

    Type Name Unlocked * Format Size

    Showing of

    Back to top

    This title is supported by one or more locked resources. Access to locked resources is granted exclusively by Cambridge University Press to lecturers whose faculty status has been verified. To gain access to locked resources, lecturers should sign in to or register for a Cambridge user account.

    Please use locked resources responsibly and exercise your professional discretion when choosing how you share these materials with your students. Other lecturers may wish to use locked resources for assessment purposes and their usefulness is undermined when the source files (for example, solution manuals or test banks) are shared online or via social networks.

    Supplementary resources are subject to copyright. Lecturers are permitted to view, print or download these resources for use in their teaching, but may not change them or use them for commercial gain.

    If you are having problems accessing these resources please contact lecturers@cambridge.org.

  • Instructors have used or reviewed this title for the following courses

    • Advance Wireless Communication
    • Probability and Random Variables
    • Topics: Probability
  • Author

    David Applebaum, University of Sheffield
    David Applebaum is a Professor in the Department of Probability and Statistics at the University of Sheffield.

Related Books

also by this author

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×
warning icon

Turn stock notifications on?

You must be signed in to your Cambridge account to turn product stock notifications on or off.

Sign in Create a Cambridge account arrow icon
×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.

Cancel

Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

×
Please fill in the required fields in your feedback submission.
×