Skip to content
Open global navigation

Cambridge University Press

AcademicLocation selectorSearch toggleMain navigation toggle

Your Cart


You have 0 items in your cart.

Register Sign in Wishlist
Uncommon Mathematical Excursions

Uncommon Mathematical Excursions
Polynomia and Related Realms

$58.00 (C)

Part of Dolciani Mathematical Expositions

  • Date Published: No date available
  • availability: Refer to RE Math Assn, Refer to, Mathematical Assn of America, PO BOX 91112, WASHINGTON DC, 20090-112
  • format: Hardback
  • isbn: 9780883853412

$58.00 (C)

Refer to RE Math Assn, Refer to, Mathematical Assn of America, PO BOX 91112, WASHINGTON DC, 20090-112
Unavailable Add to wishlist

Looking for an examination copy?

If you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact providing details of the course you are teaching.

Product filter button
About the Authors
  • This text serves as a tour guide to little known corners of the mathematical landscape, not far from the main byways of algebra, geometry, and calculus. It is for the seasoned mathematical traveller who has visited these subjects many times and, familiar with the main attractions, is ready to venture abroad off the beaten track. For the old hand and new devotee alike, this book will surprise, intrigue, and delight readers with unexpected aspects of old and familiar subjects. In the first part of the book all of the topics are related to polynomials: properties and applications of Horner form, reverse and palindromic polynomials and identities linking roots and coefficients, among others. Topics in the second part are all connected in some way with maxima and minima. In the final part calculus is the focus.

    • Designed to surprise, intrigue, and delight readers by presenting unexpected aspects of the mathematics surrounding the standard curriculum
    • For anyone who appreciates the intrinsic fascination of mathematics beyond its applicability and utility
    • Further reading and the history of the topic being discussed is found at the end of every chapter
    Read more

    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

    • format: Hardback
    • isbn: 9780883853412
    • length: 279 pages
    • dimensions: 261 x 182 x 19 mm
    • weight: 0.65kg
    • availability: Refer to RE Math Assn, Refer to, Mathematical Assn of America, PO BOX 91112, WASHINGTON DC, 20090-112
  • Table of Contents

    Part I. The Province of Polynomia:
    1. Horner's foam
    2. Polynomial potpourri
    3. Polynomial roots and coefficients
    4. Solving polynomial equations
    Part II. Maxministan:
    5. Leveling with Lagrange
    6. A maxmini miscellany
    7. Envelopes and the ladder problem
    8. Deflections on an ellipse
    Part III. The Calculusian Republic:
    9. A generalized logarithm for exponential-linear equations
    10. Envelopes and asymptotes
    11. Derivatives without limits
    12. Two calculusian miracles.

  • Resources for

    Uncommon Mathematical Excursions

    Dan Kalman

    General Resources

    Welcome to the resources site

    Here you will find free-of-charge online materials to accompany this book. The range of materials we provide across our academic and higher education titles are an integral part of the book package whether you are a student, instructor, researcher or professional.

    Find resources associated with this title

    Type Name Unlocked * Format Size

    Showing of

    Back to top

    *This title has one or more locked files and access is given only to instructors adopting the textbook for their class. We need to enforce this strictly so that solutions are not made available to students. To gain access to locked resources you either need first to sign in or register for an account.

    These resources are provided free of charge by Cambridge University Press with permission of the author of the corresponding work, but are subject to copyright. You are permitted to view, print and download these resources for your own personal use only, provided any copyright lines on the resources are not removed or altered in any way. Any other use, including but not limited to distribution of the resources in modified form, or via electronic or other media, is strictly prohibited unless you have permission from the author of the corresponding work and provided you give appropriate acknowledgement of the source.

    If you are having problems accessing these resources please email

  • Author

    Dan Kalman, American University, Washington DC
    Dan Kalman has been writing about and teaching mathematics for 30 years. A graduate of Harvey Mudd College (BS, 1974) and the University of Wisconsin (PhD, 1980), he is a Professor of Mathematics at American University, Washington, DC. Kalman's mathematical writing has been recognized with multiple MAA awards: Allendoerfer Awards in 1998 and 2002, Polya Awards in 1994 and 2002, and an Evans Award in 1997. He is the author of one previous book, Elementary Mathematical Models, published by the MAA in 1997.

Sign In

Please sign in to access your account


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

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 ×

Find content that relates to you

Back to top

Are you sure you want to delete your account?

This cannot be undone.

Cancel Delete

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.