A K Peters/CRC Press
An unusual supplement to every calculus textbook, Misteaks and How to Find Them before the Teacher Does is popular with students and teachers alike. Teachers love the way it encourages students to truly think about mathematics rather than simply plugging numbers into equations to crank out answers, and students love the author's straightforward, tongue-in-cheek style. The title of this light-hearted and amusing book might well have been "Going Gray in Elementary Calculus and How to Avoid it." Changing the metaphor, Barry has hit the nail on the finger in hundreds of fine examples. --Philip J. Davis, coauthor of The Mathematical Experience. "How I wish that something like this had been available when I was a student!" --Ralph P. Boas, former editor of The American Mathematical Monthly. Bonus: Solution to LeWitt Puzzle
" Cipra has written one of the most entertaining pieces I have read in a long while. Whether you are in the process of learning calculus or teaching it, using calculus regularly or revisiting it, you will find this book a sheer delight. You will also find a lot of good advice about how to tell when your calculations have gone wrong. -Ross L. Finney, coauthor of Calculus and Analytic Geometry, April 2004
""… a worthwhile and mind-expanding journey for calculus students."" -Michael Flake, Math Horizons, November 2005"
1 Integrals: The Power of Positive Thinking, 2 Differentiating Right from Wrong, 3 More Integrals (That’s About the Size of It), 4 Derivatives Again, and the Fine Art of Being Crude, 5 Reducing to Special Cases, 6 Dimensions, 7 Symmetry (The Same Thing Over and Over), 8 The "What Did You Expect?" Method, 9 Some Common Errors.