Skip to content

Online ordering will be unavailable on Saturday 10 December 2022, 0800-1800 GMT.

To place an order, please contact Customer Services.

UK/ROW +44 (0) 1223 326050 | US 1 800 872 7423 or 1 212 337 5000 | Australia/New Zealand 61 3 86711400 or 1800 005 210, New Zealand 0800 023 520

Register Sign in Wishlist

Analytic Combinatorics


Award Winner
  • Date Published: January 2009
  • availability: Available
  • format: Hardback
  • isbn: 9780521898065


Add to wishlist

Other available formats:

Looking for an inspection copy?

This title is not currently available on inspection

Product filter button
About the Authors
  • Analytic combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures. The theory has emerged over recent decades as essential both for the analysis of algorithms and for the study of scientific models in many disciplines, including probability theory, statistical physics, computational biology, and information theory. With a careful combination of symbolic enumeration methods and complex analysis, drawing heavily on generating functions, results of sweeping generality emerge that can be applied in particular to fundamental structures such as permutations, sequences, strings, walks, paths, trees, graphs and maps. This account is the definitive treatment of the topic. The authors give full coverage of the underlying mathematics and a thorough treatment of both classical and modern applications of the theory. The text is complemented with exercises, examples, appendices and notes to aid understanding. The book can be used for an advanced undergraduate or a graduate course, or for self-study.

    • Comprehensive: generous notes, appendices, examples and exercises, as well as the inclusion of proofs of fundamental results
    • Unified: ties together classical mathematics and modern applications
    • Cutting edge: first book with extensive coverage of analytic methods needed to analyse large combinatorial configurations
    Read more


    • Winner, 2019 Leroy P. Steele Prize for Mathematical Exposition, American Mathematical Society

    Reviews & endorsements

    '… thorough and self-contained … presentation of … topics is very well organised … provides an ample amount of examples and illustrations, as well as a comprehensive bibliography. It is valuable both as a reference work for researchers working in the field and as an accessible introduction suitable for students at an advanced graduate level.' EMS Newsletter

    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: January 2009
    • format: Hardback
    • isbn: 9780521898065
    • length: 826 pages
    • dimensions: 254 x 178 x 45 mm
    • weight: 1.6kg
    • contains: 74 b/w illus. 50 tables
    • availability: Available
  • Table of Contents

    An invitation to analytic combinatorics
    Part A. Symbolic Methods:
    1. Combinatorial structures and ordinary generating functions
    2. Labelled structures and exponential generating functions
    3. Combinatorial parameters and multivariate generating functions
    Part B. Complex Asymptotics:
    4. Complex analysis, rational and meromorphic asymptotics
    5. Applications of rational and meromorphic asymptotics
    6. Singularity analysis of generating functions
    7. Applications of singularity analysis
    8. Saddle-Point asymptotics
    Part C. Random Structures:
    9. Multivariate asymptotics and limit laws
    Part D. Appendices: Appendix A. Auxiliary elementary notions
    Appendix B. Basic complex analysis
    Appendix C. Concepts of probability theory

  • Resources for

    Analytic Combinatorics

    Philippe Flajolet, Robert Sedgewick

    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

  • Authors

    Philippe Flajolet, Institut National de Recherche en Informatique et en Automatique (INRIA), Rocquencourt
    Philippe Flajolet is Research Director of the Algorithms Project at INRIA Rocquencourt.

    Robert Sedgewick, Princeton University, New Jersey
    Robert Sedgewick is William O. Baker Professor of Computer Science at Princeton University, New Jersey.


    • Winner, 2019 Leroy P. Steele Prize for Mathematical Exposition, American Mathematical Society
    • Winner of the Choice Outstanding Academic Title 2009

Sorry, this resource is locked

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

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 Please see the permission section of the 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.


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.