A Gentle Introduction To Learning Calculus
Many calculus examples are based on physics. Less than once a week, if that. You could build it out of several pipe cleaners, separate them, and straighten them into a crude triangle to see if the math really works. But does it work in theory? Eat it. That it changed how they saw the world, as it did for him?
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A premature focus on rigor dissuades students and makes math hard to learn. Case in point: e is technically defined by a limit, but the intuition of growth is how it was discovered. The natural log can be seen as an integral, or the time needed to grow.
Which explanations help beginners more? PS: A kind reader has created an animated powerpoint slideshow that helps present this idea more visually best viewed in PowerPoint, due to the animations. BetterExplained helps k monthly readers with friendly, insightful math lessons more.
You Are a Mathematician: A Wise and Witty Introduction to the Joy of Numbers
Calculus is similarly enlightening. Poetry is similar. But calculus is hard!
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Arithmetic is about manipulating numbers addition, multiplication, etc. Using calculus, we can ask all sorts of questions: How does an equation grow and shrink? Accumulate over time? How do we use variables that are constantly changing?
Quotations about Mathematics
Whether you are a math aficionado or whether you, as the author puts it, "panic and start sweating at the sight of a sum," Wells makes one point abundantly clear: You Are a Mathematician. From basic arithmetic to algebraic equations, from the purely practical to the abstract, this is an ideal guide to the potential and pleasures of math.
Surprising patterns emerge from the simplest groupings of numbers. The many secrets hidden inside of triangles are revealed, as are the origins of a host of mathematical theories and principles, from Aristotle to Euclid and Galileo. On a journey from the ancient Greeks to quantum theory, Wells shares intriguing anecdotes from history, such as how eighteenth-century European military commanders calculated how many cannonballs their enemies had stacked up next to their cannons.
David Wells invites us to discover the sense of wonder and fun that is so much a part of mathematics.
Unlimited random practice problems and answers with built-in Step-by-step solutions. Practice online or make a printable study sheet. Collection of teaching and learning tools built by Wolfram education experts: dynamic textbook, lesson plans, widgets, interactive Demonstrations, and more.
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