Calculus, 5th Edition

by James Stewart

Stewart's CALCULUS, Fifth Edition has the mathematical precision, accuracy, clarity of exposition and outstanding examples and problem sets that have characterized the first four editions. Stewart retains the focus on problem solving and the pedagogical system that has made the book a favorite of students and instructors in a wide variety of colleges and universities throughout the world. In this Fifth Edition, he has made hundreds of small improvements: new examples, additional steps in existing examples, updating of data in existing examples and exercises, new phrases and margin notes to clarify the exposition, references to other sources and web sites, redrawn art, and references to the TEC CD (Tools for Enriching Calculus). These refinements ensure that students and instructors have the best materials available. The number of pages in the book, however, remains unchanged from the 4th edition. Further support for students and instructors is now available through a vast array of supplementary material.

Genres: Mathematics, Textbooks, Science, Nonfiction, Reference, Calculus, Engineering

10 pages, Hardcover

First published December 1, 1986

About the author

James Stewart is a professor of mathematics and a violinist. He has written a number of textbooks, notably on calculus.

For other James Stewarts, see similar names.

Reviews

[Moeen Sahraei · Rating 5 out of 5]

Greatest book ever written in calculus, Stewart has a delicate way of representing ideas in the different parts of calculus especially infinite series and Taylor approximations , iam currently reading this book for the second time.

[Nina · Rating 5 out of 5]

This book is cozy like a warm blanket on a chilly winter day. It got me through 3 terms of college Calculus and through 4 years of a math major in undergrad. I refer to it again and again now that I'm out of school - for sometimes the most random of reasons. The duct tape on the binding shows how much this book has been loved by me!

[Jimmy Ng · Rating 5 out of 5]

Great book, very informative and effective if you're trying to learn Calculus and critical thinking. Most of the top universities use this book as well. The newest edition is the 6th, but I used the 5th while I was learning Calculus in school and it worked just as well and best of all, it cost $5 online! Great deal for a starving student!

[Devon]

I would like to say that this is the first textbook that I have read from chapter one to the very end.

[Erickson · Rating 5 out of 5]

Very detailed and step-by-step; especially useful for everyone who starts to learn calculus be it from basic or from rather rigorous point of view. The appendix contains proofs of some of the most important theorems in basic calculus concept like squeeze theorem, making the text not lacking the needed rigour for fuller insight of the topic.

For those who wishes to learn advanced calculus, however, perhaps there is a need to peruse another text because in a way this text is not very close to real analysis; it is a broad text in terms of topic but the depth is not that much, though it does make an effort by not eliminating crucial proofs and explanations.

However, as far as calculus for the purposes of beginner analysis and engineering purposes are concerned, this book is more than enough - in fact, working engineers may still find this book quite useful. It is very readable, at least except chapter 15 and 16 when multiple integration is involved. I will have to reread chapter 15 and 16 a few times in future if I were to consider saying I have mastered the book.

[Damir Dzhafarov · Rating 5 out of 5]

Absolutely riveting.

[عبدالرحمن · Rating 4 out of 5]

رائع جداً، من أفضل كتب الرياضيات.

[Mohammad Mollanoori · Rating 4 out of 5]

در دوران کارشناسی، دکتر مقدم‌فر استاد ریاضی اصرار داشت که از روی جزوه نخوانیم و رفرنس بخوانیم. من هم بالاخره این کتاب را که با هزار ذوق و شوق خریده بودم، خواندم.

[sophie ✩ · Rating 1 out of 5]

trauma

[Jake · Rating 5 out of 5]

Great intro to calculus.

[Nick Black · Rating 5 out of 5]

I loved this textbook; we worked the entirety of the third edition in AP Calculus BC, and I picked up a fourth edition back in 2002 to keep around. There seems to be a recent bunch of hating on Stewart Calculus, though; I'm not sure whether this invective is about the fifth edition or what, but I can't imagine a better (admittedly unrigorous, but what's American high school mathematical education for?) grounding in real-number calculus at the preparatory level (ie, outside of an undergraduate-level Analysis class) than what I took from this book...shit, eleven years ago, coming out of the 11th grade, I could integrate, derive, and work basic diffeq's without noticeable delay; I used to race rich kids with HP-48GX's or TI-9x's featuring symbolic integration capabilities, as I could usually work something more quickly in my head than they could type it in. What's the complaint with good ol' James Stewart?

None of my Harvard friends took applied mathematics 50, which is unfortunate (liberal arts capri-wearing law-reading sackbiters all, bah, even Jimmy Zha who had at least twice my natural mathematical capability and ended up, from all reports, chasing new england WASP poonanner for four years and eventually becoming a wall street quant or something. Good luck with that).

[Connor McDonnell · Rating 5 out of 5]

I think this is one of the greatest if not the greatest calculus textbook of all time . It offers plenty of examples, proofs and gives historical context when it helps. It is also great with diagrams too and offers an appendix on trigonometry , complex numbers and analytic geometry . Not too inaccessible, for beginners but also not too condescending for more advanced students. Id recomend this book even if youre still in secondary school because secondary school calculus doesnt (at least for me), explain where the rules of differentiation come from.
The book also gives real world applications , so you also learn some physics, chemistry etc.
Highly recommended.

[Illona · Rating 5 out of 5]

These Calculus classes, Geometric, Vector, Multivariable, Differential, were some of my favorites & this book does cover the topics extensively.

Some of the best advice I got was to hunt around for a good tutor to go to regularly & to have many books since it helps to really study the same lesson in different books to get a deeper understanding.

There were no online resources when I took these classes, these books do seem to have some web bundle available, I have benefited from using web math resources since.

[Beth G · Rating 4 out of 5]

One of the best-selling and best-known introductory calculus textbooks. It's pretty comfortable to work through either in a class or on your own, but not the most rigorous textbook out there. It should be followed up with Apostol, Spivak, or another more advanced book if you'd like to continue on in math.

[Chen · Rating 3 out of 5]

UBC, Math 200 - Calculus III. The course killed me... hence hatred towards this book... brings bad memories.

[Rick Sam · Rating 4 out of 5]

This work needs to be declared, standard in High-school Mathematics. If you desire a career in Engineering, Mathematics, Scientists, Architecture.

Perhaps, you had educators, who showed value of this?

The way I recall Mathematics in Tamil Nadu was the following

a) Mostly, Problems & Solutions,
b) Students require to score the highest.
c) The issue with that approach is it bypasses understanding, to apply in real-world problems.

Many Professors, Scientists, Engineers require to communicate importance & applications.

My own belief is this,

"I continue to learn, understand and grow, until the day, I die."
Yes, it is difficult, I'd practice and cultivate the habit of life-long learning.

Machine Learning & Deep Learning courses market not requiring Math. I can only chuckle, laugh happily sitting in a coffee shop.

1. Why care about this work

a. Engineering work's foundation
b. Physical laws, describing fundamental reality of world
c. Modelling

2. What requires from students?

Curiosity
Motivation
Desire to apply this
Knowing value, application of this

3. What is inside this work?

Outline:


Function
Derivative
Application of Derivative
Integrals
Application of Integral
Inverse Function
Techniques of Integration
Further Application of Integration
Differential Equation
Parametric Equation and Polar Co-ordinates
Infinite Sequence and Series
Vectors and Geometric of Space
Vector Functions
Partial Derivatives
Multiple Integrals
Vector Calculus
Second-Order Differential Equation


4. More thoughts?

Physics and Engineering require all of this, eg: Maxewell's Physics equation.

What is the fundamental theorem of calculus?

In short, this says, we have integral of a function over a domain. This is equal to antiderivative on boundary of domain.



Recall, derivative of function mostly describes how much value of function,
changes when we change input to the function.

Grad, Div, Curl are differential operators:

Grad - Applied on scalar valued function, We get vector field
Curl - Applied on vector field, We get vector field
Div - Applied on vector field, We get scalar valued function

Green's Theorem, Stoke's Theorem, Divergence's Theorem:

Stoke's theorem:



a) Surface integral in curl of a function
b) Taking over surface bounded by closed surface
c) Gives us line integral of particular vector function around surface

Green's theorem:
a) We have line integral
b) We apply on simple closed curve to
c) Double integral over plane region D

In short, we want to relate line integral to double integral over a region limited by curve



Divergence theorem:
a) We have surface integral
b) We apply on vector field in closed surface
c) This is flux [amount] through surface
d) We have this equal to volume integral
e) of Divergence over region inside surface

Simple terms, "Sum of sources of field is net flux out of the region"

a) We have line integral
b) We apply on simple closed curve to
c) Double integral over plane region D



To Summarize




Deus Vult,
Gottfried

[Gita · Rating 3 out of 5]

من با کتاب «ریاضیات عمومی دو» از «محمدعلی کرایه‌چیان» شروع کردم به خوندن. ریاضی دوی ما چهار واحدیه و بخشی از مباحث ریاضی سه(که مختص بچه‌های ریاضیه) رو هم در خودش داره. سطح این کتاب برای مباحثی که داشتیم خیلی ساده بود و گرچه توضیحات روانی داشت، نیاز دیدم منبعم رو عوض کنم.

در ادامه بخشی از کتاب «ریاضی عمومی (۲)» از «مسعود آقاسی» رو حل کردم که نقشه‌ی راهش بهتر بود. مباحثش رو از ماتریس‌ها شروع کرده و بعد وارد فضاهای برداری و توابع شده. منتهی بیشتر کتابِ کنکوری بود تا یادگرفتنی. مثال‌هاش تستی بود و نمودارهای کمی رو با متلب تصویر کرده بود.

بعد رسیدیم به کتاب استادمون، آقای «کامیابی گل»، که هنوز چاپ نشده. راستش بخش قابل‌توجهی از مطالبش رو از کتاب استوارت گرفته و فقط یه سری مثال اضافه کرده. در کل متنش روان و تمرین‌هاش گویا هستن. و این ما رو میرسونه به استوارت. :))

کتاب استوارت توی دانشکده ریاضی مثل قرآن می‌مونه؛ در مواقع لزوم، در شک و ترید، در سختی و آسانی بهش رجوع می‌کنی و مطلبی که نمی‌فهمیدی با کلی مثال و تصویر و نمودار برات روشن میشه.

پ.ن: من این عادت کتاب منبع خوندن رو وقتی تغییر رشته دادم، از بچه‌های دانشکده‌ی ریاضی یاد گرفتم. توی مهندسی(یا حداقل ورودیِ اون‌سال ما) کتاب خوندن مسخره‌بازی و اضافه‌کاری تلقی می‌شد.

[Alejandro · Rating 4 out of 5]

It’s a smooth and nice introduction to Calculus. It focuses more on creating an intuition of the principal subjects of the integral and the derivative, but it won’t go all the way down to make you go through all of the proofs of the different axioms. Still lays out a few very interesting and hard exercises to make you realize the why and how of the many tools of Calculus. After this one you can approach a more formal book like the Apostol one or the Spivak (which is what I’m doing now) without having to sweat it that much.

[Zohaib Zafar · Rating 5 out of 5]

A great book for engineering and computer science student starting there first year in university. If you get accepted to any engineering school i recommend you start reading this book as in first semester you will be tough calculus and be expected to have solid understanding single variable calculus by the end of it. What i liked about this book is the fact that it also touches on other scientific and engineering disciplines where calculus is applied.

[Rob · Rating 5 out of 5]

I have not finished this yet, but expect to spend much of the next 1-2 years going through it (and working most, if not all, of the problems). I just did not want to see this marked as Currently Reading for such a long time.

I have read enough to see what a terrific purchase this was. Along with the two solution manuals, I should be able to use Stewart as the foundation to learn calculus (or rather, relearn what was once known).

[Buck · Rating 4 out of 5]

I didn't attend my calculus three classes at all (they are held 4 times a week at my college, christ), but I'm still passing just because I read this textbook book. I could probably be doing better if I did more of the exercises in it, but BAH. No. Everything starting with multivariate and onwards does a really good job of teaching a person calculus without an instructor. Most textbooks are useless, so gold star for this one.

[akira · Rating 4 out of 5]

Sencillo de leer, me atrevo a decir que es "la confiable" cuando se trata de recomendar a algún novato. No obstante, considero que a partir de la sección de Cálculo Multivariable la redacción así como la distribución que se otorga a los temas es confusa.

[Ray · Rating 3 out of 5]

Good Calc textbook. I only used it for studying the sections (all our homework was from the 8th edition).

[Noah]

For the first time, I actually read the math textbook! The whole semester. And I loved it all.

[Bruno Gallego · Rating 5 out of 5]

I loved this book.

[Dan Nguyen · Rating 5 out of 5]

I completed this in high school. It contains a variety of calculus subject matters.

[Breno Alexandre · Rating 1 out of 5]

Uma bosta

[여범 윤]

sdadas

[Allonszy · Rating 1 out of 5]

I didn't like the plot, it was a bit confusing, and none of the characters really got me so

[Manoj Khatri · Rating 4 out of 5]

Calculus books are always tough. Good introduction book there could be.