世界第一簡單 微積分

マンガでわかる [Manga de Wakaru]

by Hiroyuki Kojima, 小島寬之, 林羿妏 (translator)

漫畫解說－＞練習－＞總整理

不論你是商科或是理科學生，微積分都是一門重要的基礎課程。而能否掌握微積分的基本觀念是拿高分的關鍵。本書透過漫畫式情境說明，循序漸進地解說微積分概念。每章節末的解說與練習供讀者確認理解程度，善用本書你將可在短時間內成為微積分高手。

本書以即將學習或是總學不好微積分的讀者為主要對象，希望透過漫畫式情境來說明艱澀難懂的微積分概念。只要掌握正確觀念，微積分將不再是一門難以上手的學科。
並且透過各章節以循序漸進的方式教授微分與積分的理論與應用，除了定理之外書中更穿插許多習題以增加讀者檢視學習狀況與練習的機會。另外，書末更收錄了主要使用的公式、定理及函數，相當適合有心學好微積分的讀者。

Genres: Mathematics, Manga, Science, Nonfiction, Reference, Stem, Comics

232 pages, Paperback

First published December 1, 2005

About the author

Japanese: 小島寛之
Chinese: 小島寬之

Reviews

[Stewart Tame · Rating 2 out of 5]

This was a lot less fun than I was expecting. 


I know.  Calculus is not normally synonymous with fun, at least not by most folks’ reckoning.  You'd think I'd know better since I failed Calc in school (twice, actually: once at the high school level, and once in college.)  Call me a glutton for punishment …


But … manga!


In an attempt to make the subject more palatable, a framing story has been created.  Noriko is an aspiring reporter for the Asagake Times assigned to an out-of-the-way branch office staffed only by herself, the incorrigibly lazy Futoshi, and the energetic Mr. Seki, who sees the world entirely in terms of calculus functions.  It's not a bad concept, really.  And if I weren't scarred from previous experiences, I might even find it engaging.


But this is more textbook than manga.  We get a few pages of story followed by several pages of text, mostly equations.  Rinse and repeat.  The only way to fully engage with the book is to follow the math and do the exercises and so on.   And that's just more than I really care to bring to the project.   I'm more interested in reading for pleasure–definitely *not* this book's strong suit.


There's a fair amount of novelty value to the concept.  But that's about it.  This might be a useful book if you're trying to learn calculus and willing to put in a certain amount of effort to do so.   Otherwise, though, read at your own peril.

[Scott · Rating 3 out of 5]

This is not a good book to teach yourself calculus unless you're a math whiz. I could easily relate to Noriko as a writer who struggles with math, and couldn't help wondering why Mr. Seki chose journalism over math. It's clear who instilled a love of math into Mr. Seki by the time the story is over, but it's strange that he would choose journalism when math is so much more lucrative. Kojima is an economist, and the frequent examples of economic formulae are understandable when you read his bio, but it's also no surprise when you find buried in the back that he didn't write the narrative--Shinjiro Nishida and Eiji Shimada did. The scenario pulls in a lot of tension that isn't that well resolved. Noriko tries to find out why Mr. Seki got transferred to such a small newspaper, and that isn't really answered, and the other major conflict, whether reporting on Burnham Chemical is going to harm their relationship to the paper, is resolved pretty simply, at least narrative-wise. A Taylor expansion is used to explain in mathematical terms why they are not making a significant risk in reporting Burnham's pollution, but reading all this in light of Michael Perelman's The Invisible Handcuffs of Capitalism is quite revealing as they try to explain away the harm to society that Burnham Chemical has caused by their selfishness by using mathematical formulae that it is safe to say most people don't understand. By the time I got through the book, the mathematics were making less and less sense to me. I kept looking and looking for where I missed what ln means, but I couldn't find where it was introduced. At first I thought it was 1n, until it became clear that the 1 looks looks slightly different from the l in the font used (Bookman), which seemed strange, since any variable multiplied by 1 is that number. It was clear that it was an l when Mr. Seki wrote it on the chalkboard in cursive, but it's first used on page 142 without a clear explanation.

Unquestionably, a book like this is a fun way to learn calculus, but if math isn't you're thing, you will most certainly need a teacher. I do at least understand situations in which one would use calculus, which is one of the best things about the book, since it's clear why each and every formula would be used rather than something similar using less complicated mathematics, which would also result in less accurate data.

[Debbie · Rating 5 out of 5]

I'm not a big fan of manga, but my teenage son is...and he has been smitten by this book. Yes, you can really truly learn Calculus by reading this book. You'll probably need to do some extra practice problems (though some are given in this book at the end of each chapter), but this book will explain to you the Whys of Calculus...something that I totally missed when I was taking Calc.

I've also just bought The Manga Guide to Physics because he's going to be doing Physics next year.

And my husband, who's starting his PhD work in Systems Engineering soon, is reading The Manga Guide to Statisticsand he loves it too!

[Sara · Rating 4 out of 5]

بخدا اگه اینو تو مدارس الان درس بدن بچه ها بیشتر ریاضی و معادله و تابع و ... متوجه میشن!
ورژن اسکن شده ی بی کیفیتی داشتم. باید بگردم ببینم کجا میتونم با کیفیتشو پیدا کنم. سایت های معمول مانگا خوانیم که نداشتن.
اگه جایی سراغ داشتید خوشحال میشم بهم بگید. چه برای همین چه برای باقی مانگا های این سری.

[Kam Yung Soh · Rating 3 out of 5]

A somewhat uneven book that attempts to tackle one of the most powerful tools available in mathematics: calculus. A new reporter is starting her job at a small branch office. There, she meets a senior journalist who is known as Mr. Calculus and uses calculus to dig into stories and to discover the implications of what he is reporting on. So, to do her job, she too has to learn calculus from him.

Learning calculus is never easy and while this book attempts it, it probably depends more on the reader whether the book succeeds or not. Those who really want to learn how to use calculus are advised to pay close attention to the explanations in the book as each part builds upon the previous section and if you skip or don't understand the concept, it will be very hard to continue.

Those who don't really want to learn calculus will still get something out of the book. Using real-world economic examples, the book shows how calculus isn't just some tool a mathematician uses for abstract problems, but is a real tool that can help you figure out the implications of doing things in a certain way.

Boxed explanations are provided at the end of each chapter to reinforce and give more in-depth explanations.

This book should be appreciated by those who really want to learn about calculus or are just interested in what calculus can be used for in the real world.

[Eric Mesa · Rating 3 out of 5]

While the book didn't happen to explain calculus in the way I best understand it, I think it did do a pretty good job of explaining it. More importantly, I think the book does an excellent job of explaining why calculus is important outside of engineering. I'm not sure if my undergrad requires Calculus for journalism students, but the journalists at the center of this book certainly make an argument for how it can help data-driven journalists derive good first-order approximations for their stories and fact-check data given to them by others. All too often kids fail to glom onto subjects because they can't see how it applies to them in the real world.

I felt this Manga Guide had a better story than the electricity one. It wasn't an amazing story, but it was enough of a story that I was curious to see where it was going. It ends on a pretty good note, I think, given what'd been hinted on throughout the manga.

One thing that threw me for a loop is a few pages from the end when the main character jumps into the ocean because she's so surprised to see someone in the ocean that she forgets herself temporarily. Her shirt becomes wet and you can see her bra. Anyone who's read my reviews knows I'm not a prude. I just found it an odd detail for a comic that was otherwise all business. Certainly nothing to freak about about, it just took me out of the story for a minute.

[CHAVANIN PISANKUNAKIT · Rating 5 out of 5]

I'm reading this book while also taking AP calculus, and it's really helpful as this book break down some hard and complex concepts into some manga, which is also fun to read. Despite being a manga, this book is filled with knowledge like a full-on text book, but in an easy and enjoyable version.

Really recommend it, especially if you are taking or planning to take calculus.

[Rujman Khan · Rating 5 out of 5]

Makes Calculus so entertaining and melodramatic while actually teaching it significantly well

[Sami · Rating 3 out of 5]

This is a fun concept, learning calculus while following a story! However I felt this one was too technical and focused on the why/proofs, rather than teaching about the basics of calculus itself. It was unnecessarily equation heavy and made it "less fun". I do not recommend this book if you are genuinely trying to learn calculus from it, you will get confused! Otherwise it's a fascinating read for fellow math nerds.

Generalized content warnings: None

[HIKARY · Rating 3 out of 5]

It's a really fun manga and the idea itself hold a lot of potential sadly they didn't deliver it correctly calculus is a complicated science it could've been better if they dived into it deeply but the ideas their self in this manga are really creative and fun sadly it was only 40 pages

[Cheyenne Tindall · Rating 3 out of 5]

The story plot is good, but when it comes to teaching calculus, it's not the best. For some people, it'll work really well. But it's not the type of thing that works for everyone, and I wouldn't try it unless you have a good basic understanding of calculus at least.

[Maxwell · Rating 3 out of 5]

Good book overall, but it can get very dense very quickly. Not as beginner-friendly as the other manga guides I've read, so be sure to be slow and thorough when reading.

[kul Knight · Rating 5 out of 5]

I would not say we can learn calculus, but the sure thing is it gives a new outlook to calculus.

[the bard]

nice concept, but it explained things really weird and was not helpful at all,,, good intentions, though

[Amanda Merrill · Rating 4 out of 5]

Actually a pretty good introduction to everything.

[Keith · Rating 3 out of 5]

Compared to the other Manga guides, this felt more like a textbook with drawings, than a fun educational read.

[Exbo · Rating 5 out of 5]

This book is about advanced math formulas in calculus (the subject). The main characters were Futoshi, Sake, and Noriko. All the characters do amazing things like math. They are credible because there are many businesses out there who might relate to this. Sake Futo

[Ambassador]

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.

**

[David Miller · Rating 3 out of 5]

It is my duty to report that a person with no background in "higher" math cannot, in fact teach themselves calculus using only a comic book. This becomes obvious long before the halfway point, and the manga format is occasionally dropped for pages at a time. All available space becomes filled with variables and you are essentially reading a textbook. It turns out, the lack of a manga guide is not the cause of my lack of calculus aptitude.

What I did appreciate, however, was the convenient visualization of what it is that differential and integral calculations actually do. It must be a marvelous thing to hold all those variables in place, because their manifestations are evidently impressive. Math really is a wonderful thing; it's just a shame I'm not accustomed to mathematical reasoning.

The story was cute too. Did I occasionally skip a few equation pages to get back to the funny pictures? Can you blame me?

[Soobie has fog in her brain · Rating 2 out of 5]

Due sole stelline perché è troppo complicato.

Dovete sapere che la sottoscritta è una capra in matematica. Appena vedo un paio di formule su una pagina, il mio cervello va in pappa e si rifiuta di lavorare. E qua di formule ce n'è a bizzeffe.

Si parla di funzioni, derivate, seni e coseni. Cose che ho anche studiato alle superiori. O meglio, ci ho provato e ho fallito miseramente. Quindi sì, gli esami che il giornalista faceva erano interessanti ma di un livello troopo elevato.

Mi sono dovuta accontentare di leggere la storia a fumetti. E adesso si passa alla relatività. Direi che c'è da piangere anche qua.

[Mohamed Fadel barakat · Rating 3 out of 5]

this book is not for whom who hadn't any pervious calculus background. But it explain the calculus with very different manner. as it focuse on the application of the calculus to understand the calculus itself and this is the best of the book. it makes me look to the calculus with different vision, it also makes me more loved to that branch of mathematics.
but I blame the author for the economic applications that he only used it for explaining the idea.he could vary the applications.but that's not strange as the auther has PhD in Economy.
However Finally it's very interesting book.

[Will · Rating 3 out of 5]

This doesn't really explain things at an introductory enough level for my attempts to grasp what I did not get in my college calculus course, which I left with a worthless grade after the "peace movement" thugs kept us from meeting. But it keeps the reader entertained meanwhile. And you learn to dance the Calculus Ondo!

[Megan Lawson · Rating 4 out of 5]

This is a great book and, I believe, is a nice reminder of how fun Calculus can be. I'm actually purchasing a set of these for my BC Calculus class as a graduation gift. Hopefully they will get a kick out of the book and forever be able to look back on Calculus with fondness.

[Murtle · Rating 3 out of 5]

cute artwork.

[Mills College Library]

515 K798 2009

[Khajiit J'jirra Roudhari · Rating 2 out of 5]

Cute attempt at teaching calculus but sadly I got distracted by the fact that it's a manga so I couldn't really grasp the formulas of basic calc.

[Bulent · Rating 3 out of 5]

6 kitaplık serinin sadece ilk kitabı Türkçe basıldığı için bu başarılı çalışma baştan ölü doğmuş durumda.

Ama matemeatik öğrenmek isteyenler için oldukçe güzel ve ilginç bir tarzı var.

[Travis Williams · Rating 3 out of 5]

Interesting concept, but I'm still floundering with calculus.

[Morris Yen · Rating 3 out of 5]

the book does not explain the basic theories well; better for entertaining (?)

[Morris Yen · Rating 3 out of 5]

這本書並沒有將微積分的基本理論解釋得令人好懂，我想主要是因為篇幅不夠。並不建議給真正想學微積分的人。但讓一些比較知道微積分了解微積分可以有哪些應用。