Conics (Dolciani Mathematical Expositions)

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9780883853351: Conics (Dolciani Mathematical Expositions)

A CD containing 36 applets packaged with the book. This book engages the reader in a journey of discovery through a spirited discussion among three characters: Philosopher, Teacher and Student. Throughout the book, Philosopher pursues his dream of a unified theory of conics, where exceptions are banished. With a helpful teacher and example-hungry student, the trio soon finds that conics reveal much of their beauty when viewed over the complex numbers. In their odyssey, they uncover a goldmine of unsuspected results. They experience a series of “Aha!” moments as they stumble upon living brothers to familiar conics objects like foci and directrices. They also discover a normally-unseen ellipse spanning the gap between the branches of any hyperbola. On the applied side, they learn how two interfering wave sources create systems of hyperbolas; these are used in making astonishingly precise astronomical observations. All these discoveries are profusely illustrated with pictures, worked-out examples, a generous selection of exercises, and a CD containing 36 applets. If you've ever needed a conics formula for area, eccentricity, curvature and the like, look in the formula appendix. Here are dozens of useful formulas-a set for each of eight different ways of looking at a conic: as a cone slice; as the path of a planet moving under the influence of a fixed sun; constructed using two stakes and string; plus five other sets. CONICS is written in an easy, conversational style, and many historical tidbits and other points of interest are scattered throughout the text. Many students can self-study the book without outside help. This book is ideal for anyone having a little exposure to linear algebra and complex numbers. System Requirements for running the applets 128 MB of RAM Windows: Pentium 4: Windows NT/2000, or Windows XP Macintosh: G4 or G5 processor: Mac OS X v. 10.3.4 or later Safari browser recommended for the Mac

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Book Description:

Conics is written in an easy, conversational style, and many historical tidbits and other points of interest are scattered throughout the text. Many students can self-study the book without outside help. This book is ideal for anyone having a little exposure to linear algebra and complex numbers.

About the Author:

Keith Kendig graduated Summa cum Laude and Phi Beta Kappa from UCLA, where he continued with graduate work, earning his Ph.D. under Basil Gordon. He subsequently spent two years at the Institute for Advanced Study in Princeton, working with Hassler Whitney. He is the author of Elementary Algebraic Geometry, which appeared as Volume 44 in Springer-Verlag's Graduate Texts in Mathematics Series. His article “Is a 2000-Year-Old Formula Still Keeping Some Secrets?” won the MAA's Lester Ford award in 2000.

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