Cartoon Calculus: Ch 1 (Introduction)

Quick links to Front matter, Back matter, and:
Part One: Ch 1: Introduction, Ch 2: Speed, Ch 3: Area, Ch 4: Fundamental theorem, Ch 5: Limits
Part Two: Ch 6: Derivatives, Ch 7: Toolkit, Ch 8: Extreme, Ch 9: Optimization, Ch 10: Economics
Part Three: Ch 11: Hard way, Ch 12: Easy way, Ch 13: Revisited, Ch 14: Physics, Ch 15: Conclusion

Page 1: Part One (introductory page)

Page 3: Calculus is about two mountains.

Pages 4-5: Derivatives are about measuring rates of change. // Integrals are about measuring lengths, areas, and volumes.

MB: I am surprised to see on Page 1 that you say integration is used for lengths, areas and volumes… a very limited (and maybe misleading) statement? YB: Hm… what would you say it’s for? MB: Well, for adding anything. You can integrate the total temperature change in the 20th century, or any other time dependent change; you can (as you say later in that famous apple eating astronaut problem) find the total energy needed to do something…

Page 6-7: It may not seem like these mountains have much in common… // In this book we’re going to start with an overview…

Pages 8-9: The big ideas of calculus go back hundreds of years… // Unfortunately, these big ideas have been obscured by two more recent developments.

Pages 10-11: The first avalanche was mathematical rigor. // Making the journey safe took away some of the excitement…

Pages 12-13: Calculus turns out to be so useful… // This book is different.

Page 14: And in addition to learning about calculus…

Quick links to Front matter, Back matter, and:
Part One: Ch 1: Introduction, Ch 2: Speed, Ch 3: Area, Ch 4: Fundamental theorem, Ch 5: Limits
Part Two: Ch 6: Derivatives, Ch 7: Toolkit, Ch 8: Extreme, Ch 9: Optimization, Ch 10: Economics
Part Three: Ch 11: Hard way, Ch 12: Easy way, Ch 13: Revisited, Ch 14: Physics, Ch 15: Conclusion

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