Skip to content

Due to scheduled maintenance, online ordering, in regions where offered, will not be available on this site from 08:00 until noon GMT on Sunday 17th February. We apologise for the inconvenience.

Cart

Your Cart

×

You have 0 items in your cart.

Register Sign in Wishlist
Look Inside Foundations of Ergodic Theory
eBook forthcoming

Foundations of Ergodic Theory

$126.00 (P)

Part of Cambridge Studies in Advanced Mathematics

  • Authors:
  • Marcelo Viana, Instituto Nacional de Matemática Pura e Aplicada (IMPA), Rio de Janeiro
  • Krerley Oliveira, Universidade Federal de Alagoas, Brazil
  • Date Published: February 2016
  • availability: Available
  • format: Hardback
  • isbn: 9781107126961

$ 126.00 (P)
Hardback

Add to cart Add to wishlist

Other available formats:
eBook


Request examination copy

Instructors may request a copy of this title for examination

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • Rich with examples and applications, this textbook provides a coherent and self-contained introduction to ergodic theory, suitable for a variety of one- or two-semester courses. The authors' clear and fluent exposition helps the reader to grasp quickly the most important ideas of the theory, and their use of concrete examples illustrates these ideas and puts the results into perspective. The book requires few prerequisites, with background material supplied in the appendix. The first four chapters cover elementary material suitable for undergraduate students – invariance, recurrence and ergodicity – as well as some of the main examples. The authors then gradually build up to more sophisticated topics, including correlations, equivalent systems, entropy, the variational principle and thermodynamical formalism. The 400 exercises increase in difficulty through the text and test the reader's understanding of the whole theory. Hints and solutions are provided at the end of the book.

    • The authors' friendly explanations and use of examples make complex concepts easy to follow
    • Self-contained so it can easily be adapted to a graduate or undergraduate course
    • Contains more than 400 exercises, many with hints and solutions
    Read more

    Reviews & endorsements

    'The book provides the student or researcher with an excellent reference and/or base from which to move into current research in ergodic theory. This book would make an excellent text for a graduate course on ergodic theory.' Douglas P. Dokken, Mathematical Reviews

    '… Viana and Oliveira have written yet another excellent textbook! It may be fruitfully used to guide a graduate course in dynamical systems, or a topics seminar at either advanced undergraduate or early graduate levels. The book is designed so that the instructor may cull a variety of courses from its contents. The authors deserve special kudos for their collection of over 400 exercises, many with hints and solutions at the end of the book. As a further bonus, if only to pique the reader’s interest, a number of recent research results and open problems are sprinkled throughout the book.' Tushar Das, MAA Reivews

    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

    • Date Published: February 2016
    • format: Hardback
    • isbn: 9781107126961
    • length: 548 pages
    • dimensions: 229 x 152 x 35 mm
    • weight: 0.87kg
    • contains: 35 b/w illus. 410 exercises
    • availability: Available
  • Table of Contents

    Preface
    1. Recurrence
    2. Existence of invariant measures
    3. Ergodic theorems
    4. Ergodicity
    5. Ergodic decomposition
    6. Unique ergodicity
    7. Correlations
    8. Equivalent systems
    9. Entropy
    10. Variational principle
    11. Expanding maps
    12. Thermodynamical formalism
    Appendix. Topics of measure theory, topology and analysis
    Hints or solutions for selected exercises
    References
    Index.

  • Authors

    Marcelo Viana, Instituto Nacional de Matemática Pura e Aplicada (IMPA), Rio de Janeiro
    Marcelo Viana is Professor of Mathematics at the Instituto Nacional de Matemática Pura e Aplicada (IMPA), Rio de Janeiro, and a leading research expert in ergodic theory and dynamical systems. He has served in several academic organizations, such as the International Mathematical Union (Vice President, 2011–2014), the Brazilian Mathematical Society (President, 2013–2015), the Latin American Mathematical Union (Scientific Coordinator, 2001–2008) and the newly founded Mathematical Council of the Americas. He is also a member of the academies of science of Brazil, Portugal, Chile and the Developing World, and he has received several academic distinctions, including the Grand Croix of Scientific Merit, granted by the President of Brazil, in 2000, and the Ramanujan Prize of ICTP and IMU in 2005. He was an Invited Speaker at the International Congress of Mathematicians in Zurich (1994), a Plenary Speaker at the International Congress of Mathematical Physics (1994), and a Plenary Speaker at the ICM in Berlin (1998). To date, he has supervised thirty-two doctoral theses. Currently, he leads the organization of the ICM 2018 in Rio de Janeiro, and he is also involved in initiatives to improve mathematical education in his country.

    Krerley Oliveira, Universidade Federal de Alagoas, Brazil
    Krerley Oliveira is Associate Professor at the Universidade Federal de Alagoas (UFAL), Brazil, where he founded the graduate program in mathematics and the State of Alagoas Math Olympiad program, where he promotes young talent for mathematics. He was a medalist at the Brazilian Mathematical Olympiad (1996) and twice at the Iberoamerican Mathematical Olympiad for university students (1999 and 2000). He was elected an Affiliate Member of the Brazilian Academy of Sciences (2007–2012) and his research is focused on dynamical systems and ergodic theory.

Sign In

Please sign in to access your account

Cancel

Not already registered? Create an account now. ×

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 ×

Find content that relates to you

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.
×