دانلود کتاب Change and Motion: Calculus Made Clear, 2nd Edition

فهرست مطالب :

1 Two Ideas, Vast Implications 2 Stop Sign Crime—The First Idea of Calculus—The Derivative 3 Another Car, Another Crime—The Second Idea of Calculus—The Integral 4 The Fundamental Theorem of Calculus 5 Visualizing the Derivative—Slopes 6 Derivatives the Easy Way—Symbol Pushing 7 Abstracting the Derivative—Circles and Belts 8 Circles, Pyramids, Cones, and Spheres 9 Archimedes and the Tractrix 10 The Integral and the Fundamental Theorem 11 Abstracting the Integral—Pyramids and Dams 12 Buffon’s Needle or π from Breadsticks 13 Achilles, Tortoises, Limits, and Continuity 14 Calculators and Approximations 15 The Best of All Possible Worlds—Optimization 16 Economics and Architecture 17 Galileo, Newton, and Baseball 18 Getting off the Line—Motion in Space 19 Mountain Slopes and Tangent Planes 20 Several Variables—Volumes Galore 21 The Fundamental Theorem Extended 22 Fields of Arrows—Differential Equations 23 Owls, Rats, Waves, and Guitars 24 Calculus Everywhere