Hardcover ISBN: | 978-0-88385-341-2 |
Product Code: | DOL/35 |
List Price: | $65.00 |
MAA Member Price: | $48.75 |
AMS Member Price: | $48.75 |
eBook ISBN: | 978-1-4704-5844-7 |
Product Code: | DOL/35.E |
List Price: | $60.00 |
MAA Member Price: | $45.00 |
AMS Member Price: | $45.00 |
Hardcover ISBN: | 978-0-88385-341-2 |
eBook: ISBN: | 978-1-4704-5844-7 |
Product Code: | DOL/35.B |
List Price: | $125.00 $95.00 |
MAA Member Price: | $93.75 $71.25 |
AMS Member Price: | $93.75 $71.25 |
Hardcover ISBN: | 978-0-88385-341-2 |
Product Code: | DOL/35 |
List Price: | $65.00 |
MAA Member Price: | $48.75 |
AMS Member Price: | $48.75 |
eBook ISBN: | 978-1-4704-5844-7 |
Product Code: | DOL/35.E |
List Price: | $60.00 |
MAA Member Price: | $45.00 |
AMS Member Price: | $45.00 |
Hardcover ISBN: | 978-0-88385-341-2 |
eBook ISBN: | 978-1-4704-5844-7 |
Product Code: | DOL/35.B |
List Price: | $125.00 $95.00 |
MAA Member Price: | $93.75 $71.25 |
AMS Member Price: | $93.75 $71.25 |
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Book DetailsDolciani Mathematical ExpositionsVolume: 35; 2009; 265 ppRecipient of the Mathematical Association of America's Beckenbach Book Prize in 2012!
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.
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Table of Contents
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Chapters
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Part I. The Province of Polynomia
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Chapter 1. Horner’s Form
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Chapter 2. Polynomial Potpourri
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Chapter 3. Polynomial Roots and Coefficients
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Chapter 4. Solving Polynomial Equations
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Part II. Maxiministan
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Chapter 5. Leveling with Lagrange: Constrained Maxima and Mimima with Lagrangian Functions
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Chapter 6. A Maxmini Miscellany
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Chapter 7. Envelopes and the Ladder Problem
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Chapter 8. Deflection on an Ellipse
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Part III. The Calculusian Republic
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Chapter 9. A Generalized Logarithm for Exponential-Linear Equations
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Chapter 10. Envelopes and Asymptotes
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Chapter 11. Derivatives Without Limits
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Chapter 12. Two Calculusian Miracles
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Additional Material
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Reviews
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Kalman takes a deep look at several classical topics with which mathematics teachers are familiar, yet all will be surprised by the beauty and depth of those familiar topics and intrigued by the results uncovered.
Dan Teague, The Mathematics Teacher
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Reviews
- Requests
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.
-
Chapters
-
Part I. The Province of Polynomia
-
Chapter 1. Horner’s Form
-
Chapter 2. Polynomial Potpourri
-
Chapter 3. Polynomial Roots and Coefficients
-
Chapter 4. Solving Polynomial Equations
-
Part II. Maxiministan
-
Chapter 5. Leveling with Lagrange: Constrained Maxima and Mimima with Lagrangian Functions
-
Chapter 6. A Maxmini Miscellany
-
Chapter 7. Envelopes and the Ladder Problem
-
Chapter 8. Deflection on an Ellipse
-
Part III. The Calculusian Republic
-
Chapter 9. A Generalized Logarithm for Exponential-Linear Equations
-
Chapter 10. Envelopes and Asymptotes
-
Chapter 11. Derivatives Without Limits
-
Chapter 12. Two Calculusian Miracles
-
Kalman takes a deep look at several classical topics with which mathematics teachers are familiar, yet all will be surprised by the beauty and depth of those familiar topics and intrigued by the results uncovered.
Dan Teague, The Mathematics Teacher