City of Belmont - Ruth Faulkner Public Library

The manga guide to calculus, Hiroyuki Kojima, Shin Togami, Becom Co., Ltd

eng

illustrations

index present

non fiction

The manga guide to calculus

comics graphic novels

Hiroyuki Kojima, Shin Togami, Becom Co., Ltd

The manga guide

"In The Manga Guide to Calculus, you'll follow along with Noriko as she learns that calculus is more than just a class designed to weed out would-be science majors. You'll see that calculus is a useful way to understand the patterns in physics, economics, and the world around us, with help from real-world examples like probability, supply and demand curves, the economics of pollution, and the density of Shochu (a Japanese liquor)."--Page 4 of cover

Prologue : what is a function? -- 1. Let's differentiate a function -- Approximating with functions -- Calculating the relative error -- The derivative in action -- Calculating the derivative -- Calculating the derivative of a constant, linear, or quadratic function -- 2. Let's learn differentiation techniques -- The sum rule of differentiation -- The product rule of differentiation -- Differentiating polynomials -- Finding maxima and minima -- Using the mean value theorem -- Using the quotient rule of differentiation -- Calculating derivatives of composite functions -- Calculating derivatives of inverse functions -- 3. Let's integrate a function -- Illustrating the fundamental theorem of calculus -- When the density is constant -- When the density changes stepwise -- When the density changes continuously -- Review of the imitating linear function -- Approximation vs. exact value -- Using the fundamental theorem of calculus -- Using integral formulas -- Applying the fundamental theorem -- Supply curve -- Demand curve -- Review of the fundamental theorem of calculus -- Formula of the substitution rule of integration -- The power rule of integration -- 4. Let's learn integration techniques -- Using trigonometric functions -- Using integrals with trigonometric functions -- Using exponential and logarithmic functions -- Integration by parts -- 5. Let's learn about Taylor Expansions -- Imitating with polynomials -- How to obtain a Taylor expansion -- Taylor expansion of various functions -- 6. Let's learn about partial differentiation -- What are multivariable functions? -- Basics of variable linear functions -- Partial differentiation -- Total differentials -- Conditions for extrema -- Applying partial differentiation to economics -- The chain rule -- Derivatives of implicit functions -- Epilogue: what is mathematics for? -- A. Solutions to exercises -- B. Main formulas, theorems, and functions covered in this book -- Linear equations (Linear functions) -- Differentiation -- Derivatives of popular functions -- Integrals -- Taylor expansion -- Partial derivatives

adolescent

Calculus