The Manga Guide to Calculus

xii Preface

presents the notion of what calculus really does. You will never

understand this through the teaching methods that stick to limits

(or ε-δ logic). Unless you have a clear image of what calculus really

does and why it is useful in the world, you will never really under-

stand or use it freely. You will simply fall into a miserable state of

memorizing formulas and rules. This book explains all the formu-

las based on the concept of the first-order approximation, helping

you to visualize the meaning of formulas and understand them

easily. Because of this unique teaching method, you can quickly

and easily proceed from differentiation to integration. Further-

more, I have adopted an original method, which is not described in

ordinary te ...