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Approximately four thousand years ago, aliens invaded Earth and began implementing a diabolical plan to enslave humanity. These aliens have come to be known as "cats." They had one overwhelmingly superior ability. They understood calculus. And humans did not. The plan has been wildly successful and the proof is obvious: cats rule the world and very few humans understand calculus. Before you decide that calculus is beyond you, consider this: if cats can learn it, so can you.-- Introduction.
How to use physical reasoning to solve surprising paradoxes Ever wonder why cats land on their feet? Or what holds a spinning top upright? Or whether it is possible to feel the Earth's rotation in an airplane? Why Cats Land on Their Feet is a compendium of paradoxes and puzzles that readers can solve using their own physical intuition. And the surprising answers to virtually all of these astonishing paradoxes can be arrived at with no formal knowledge of physics. Mark Levi introduces each physical problem, sometimes gives a hint or two, and then fully explains the solution. Here readers can test their critical-thinking skills against a whole assortment of puzzles and paradoxes involving floating and diving, sailing and gliding, gymnastics, bike riding, outer space, throwing a ball from a moving car, centrifugal force, gyroscopic motion, and, of course, falling cats. Want to figure out how to open a wine bottle with a book? Or how to compute the square root of a number using a tennis shoe and a watch? Why Cats Land on Their Feet shows you how, and all that's required is a familiarity with basic high-school mathematics. This lively collection also features an appendix that explains all physical concepts used in the book, from Newton's laws to the fundamental theorem of calculus.
Calculus Cat's home life is locked in an in-tense, argumentative relationship with his TV set, which bedevils him with commercials for Skweeky Weets-the world's most asinine breakfast cere-al. His job' is no better. He is forced to run thought the streets sporting his famous grin as The Public shout abuse and throw rubbish. His world is graphic, black and white, jagged, full in, weird, speedy and loud-everything a comic should be!'
Do you want your children to feel like algebra is beautiful, playful, and intuitive? Socks Are Like Pants, Cats Are Like Dogs inspires families and groups to play, solve, talk, and make math-together! The book is filled with a diverse collection of math games, puzzles, and activities exploring the mathematics of choosing, identifying and sorting. The activities inside are portable and easy to start. Many require little in the way of materials and preparation. Teacher and parent tested in real classrooms and living rooms, the ideas in this book are created to encourage endless inventiveness and variation. Be inspired to play and create, again and again, each time with a different, perhaps surprising result. Don't hesitate-play math today!
There are two kinds of math: the hard kind and the easy kind. The easy kind, practiced by ants, shrimp, Welsh corgis -- and us -- is innate. What innate calculating skills do we humans have? Leaving aside built-in mathematics, such as the visual system, ordinary people do just fine when faced with mathematical tasks in the course of the day. Yet when they are confronted with the same tasks presented as "math," their accuracy often drops. But if we have innate mathematical ability, why do we have to teach math and why do most of us find it so hard to learn? Are there tricks or strategies that the ordinary person can do to improve mathematical ability? Can we improve our math skills by learning from dogs, cats, and other creatures that "do math"? The answer to each of these questions is a qualified yes. All these examples of animal math suggest that if we want to do better in the formal kind of math, we should see how it arises from natural mathematics. From NPR's "Math Guy" -- The Math Instinct will provide even the most number-phobic among us with confidence in our own mathematical abilities.
The entire book is free, online, at: http: //www.onemathematicalcat.org/Math/Calculus_obj/tableOfContentsCalculus.htm This print version is just a convenience for those of us who like to highlight, write in the margins, and feel the paper between our fingers. There's also a Complete Solution Manual, available in both print and digital versions. It has completely written out answers to all the in-section and end-of-section exercises, and the sample tests. An entire website supports this book: http: //www.onemathematicalcat.org Algebra I and II, Geometry, Precalculus (for when you need to brush up on stuff) Calculus index cards (hold the entire course in the palm of your hand) Please don't hesitate to contact the author, Dr. Carol JVF Burns, with any questions or comments. My email is available from my homepage: http: //www.onemathematicalcat.org
This is not just another algebra book. An entire website supports and extends this text. 400+ web exercises: unlimited, randomly-generated practice and worksheets. The book and website each stand alone as a learning environment; together, they're a dynamic duo. Visit http: //www.onemathematicalcat.org and go to Algebra I: then Geometry, Algebra II, Precalculus, and Calculus. While you're learning algebra, you'll also learn that numbers have lots of different names, and that math is the renaming tool. You'll learn that "x" is to math as "cat" is to English. The original "cat" book (One Mathematical Cat, Please! Ideas for anyone who wants to understand mathematics) is also available on Amazon. If you only need the math language ideas, get the original "cat" book. If you need Algebra too, get this book. The Algebra book has the original cat book embedded in it, so you don't need both! Reviewers and users write: " ... wonderfully written and crafted with a care you rarely see" " ... will do a great service to the mathematical educational world" " ... the need for this book is immense" " ... I found meat, potatoes, and pie on every page. It's all dessert." " ... never seen anything so supportive and affirming and reassuring and inspiring as the way you talk us through topics" "THIS IS GREAT!!!! ... this is helping me get heads above the competition. You rock!!!! OneMathematicalCat drives me wild." There are over 175 web exercises that go directly with this book at: http: //www.onemathematicalcat.org/algebra_book/online_problems/table_of_contents.htm All free. All agreeing perfectly with the text---same order of lessons, same notation, same writing style. Free randomly-generated exercises. Free unlimited worksheets/quizzes. Algebra Pinball. Never again will someone say they don't have enough practice. Bound, printed copies are great. You can highlight, write margin notes, and do exercises right in the book. So, the next time you see "x," think "One Mathematical Cat, Please!" and laugh! Enjoy!
"Explains the basic concepts, vocabulary and strategies of algebra. No exercises, just clear writing, humor and information."--Page 4 of cover.
Sheldon Axler's Precalculus: A Prelude to Calculus, 3rd Edition focuses only on topics that students actually need to succeed in calculus. This book is geared towards courses with intermediate algebra prerequisites and it does not assume that students remember any trigonometry. It covers topics such as inverse functions, logarithms, half-life and exponential growth, area, e, the exponential function, the natural logarithm and trigonometry.