
The Manga Guide to Calculus
No Starch Press
Published on 1. August 2009
256 pages
978-1-59327-296-8 (ISBN)
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Description
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Noriko is just getting started as a junior reporter for the Asagake Times. She wants to cover the hard-hitting issues, like world affairs and politics, but does she have the smarts for it? Thankfully, her overbearing and math-minded boss, Mr. Seki, is here to teach her how to analyze her stories with a mathematical eye.
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).
Mr. Seki teaches Noriko how to:
?Use differentiation to understand a function's rate of change
?Apply the fundamental theorem of calculus, and grasp the relationship between a function's derivative and its integral
?Integrate and differentiate trigonometric and other complicated functions
?Use multivariate calculus and partial differentiation to deal with tricky functions
?Use Taylor Expansions to accurately imitate difficult functions with polynomials
Whether you're struggling through a calculus course for the first time or you just need a painless refresher, you'll find what you're looking for in The Manga Guide to Calculus.
This EduManga book is a translation from a bestselling series in Japan, co-published with Ohmsha, Ltd. of Tokyo, Japan.
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).
Mr. Seki teaches Noriko how to:
?Use differentiation to understand a function's rate of change
?Apply the fundamental theorem of calculus, and grasp the relationship between a function's derivative and its integral
?Integrate and differentiate trigonometric and other complicated functions
?Use multivariate calculus and partial differentiation to deal with tricky functions
?Use Taylor Expansions to accurately imitate difficult functions with polynomials
Whether you're struggling through a calculus course for the first time or you just need a painless refresher, you'll find what you're looking for in The Manga Guide to Calculus.
This EduManga book is a translation from a bestselling series in Japan, co-published with Ohmsha, Ltd. of Tokyo, Japan.
More details
Series
Language
English
Place of publication
Daly City, California
United States
Product notice
Fixed format
File size
54,22 MB
ISBN-13
978-1-59327-296-8 (9781593272968)
Schweitzer Classification
Other editions
Additional editions

Hiroyuki Kojima | Becom Co., Ltd.
The Manga Guide to Calculus
Book
08/2009
1st Edition
No Starch Press
€30.00
Article not available at the moment
Persons
Hiroyuki Kojima was born in 1958. He received his PhD in Economics from the Graduate School of Economics, Faculty of Economics, at the University of Tokyo. He has worked as a lecturer and is now an associate professor in the Faculty of Economics at Teikyo University in Tokyo, Japan. While highly appraised as an economist, he is also active as an essayist and has published a wide range of books on mathematics and economics at the fundamental, practical, and academic levels.
Content
- Intro
- Table of Contents
- Preface
- Prologue:What Is A Function?
- Chapter 1: Let's Differentiate a Function!
- Approximating with Functions
- Calculating the Relative Error
- The Derivative in Action!
- Calculating the Derivative
- Summary
- Exercises
- Chapter 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
- Exercises
- Chapter 3: Let's Integrate a Function!
- Illustrating the Fundamental Theorem of Calculus
- Using the Fundamental Theorem of Calculus
- Applying the Fundamental Theorem
- Review of the Fundamental Theorem of Calculus
- Formula of the Substitution Rule of Integration
- The Power Rule of Integration
- Exercises
- Chapter 4: Let's Learn Integration Techniques!
- Using Trigonometric Functions
- Using Integrals with Trigonometric Functions
- Using Exponential and Logarithmic Functions
- Summary of Exponential and Logarithmic Functions
- More Applications of the Fundamental Theorem
- Exercises
- Chapter 5: Let's Learn About Taylor Expansions!
- Imitating with Polynomials
- How to Obtain a Taylor Expansion
- Taylor Expansion of Various Functions
- What Does Taylor Expansion Tell Us?
- Exercises
- Chapter 6: Let's Learn About Partial Differentiation!
- What Are Multivariable Functions?
- The Basics of Variable Linear Functions
- Tanaka School Sunday
- Partial Differentiation
- Total Differentials
- Conditions for Extrema
- Applying Partial Differentiation to Economics
- The Chain Rule
- Derivatives of Implicit Functions
- Exercises
- Epilogue:What Is Mathematics for?
- Appendix A: Solutions to Exercises
- Prologue
- Chapter 1
- Chapter 2
- Chapter 3
- Chapter 4
- Chapter 5
- Chapter 6
- Appendix B: Main Formulas, Theorems, and Functions Covered in this Book
- Linear Equations (Linear Functions)
- Differentiation
- Derivatives of Popular Functions
- Integrals
- Taylor Expansion
- Partial Derivatives
- Index
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