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Uncommon Mathematical Excursions

Uncommon Mathematical Excursions
Polynomia and Related Realms

$58.00

Part of Dolciani Mathematical Expositions

  • 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
Hardback

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

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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
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    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

    Preface
    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

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  • 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.

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