# Calculus - Third Edition

Gilbert Strang, MIT

Copyright Year: 1991

Last Update: 2023

ISBN 13: 9780961408824

Publisher: Wellesley-Cambridge Press

Language: English

## Formats Available

## Conditions of Use

Attribution-NonCommercial-ShareAlike

CC BY-NC-SA

## Reviews

The textbook is certainly well written. The author uses simple terms and easy to follow approach/format. The applications are used to relate the topics to real-world problems. Presenting topics in calculus via examples and applications is... read more

The textbook is certainly well written. The author uses simple terms and easy to follow approach/format. The applications are used to relate the topics to real-world problems. Presenting topics in calculus via examples and applications is perhaps the best feature of this book.

The study guide for chapter 1 and Index were missing in the PDF version I reviewed.

The content is accurate and the language is suitable for audiences comfortable with the prerequisites - precalculus.

The sections related to calculators and programming will be obsolete in a near future; however, the textbook's high quality applications and examples will keep the book competitive for years to come.

Given the required background and knowledge in precalculus, the textbook is easy to follow and clear in its explanation of concepts.

The textbook is consistent in terms of terminology. The traditional variables x and y are heavily used throughout the book. I highly recommend the use of more variables, other than x and y, and notations in each section of the book.

The textbook can easily be divided into modules to support a specific order of coverage or presentation.

The textbook is well organized and flows smoothly. The last chapter on Mathematics after Calculus, though a nice idea, will most likely not be covered in a typical calculus course.

The PDF version does not offer the best reading quality. The textbook could certainly use more graphs to better explain concepts such as the limit definition of a derivative at a specific point in the domain. Use of multiple colors on graphs would improve student learning.

The textbook is well written and free of grammatical errors.

The book is not culturally insensitive and it is not written with any specific race, ethnicity, or background in mind. The applications are carefully selected from different disciplines to convey the concepts in calculus.

Although I thoroughly enjoyed reading the book, it may not be suitable for use in all institutions. The book does require better than average knowledge of the prerequisites before the applications and examples have the intended impact.

The textbook is well written and clearly organized. The content is comprehensive yet the textbook includes many examples and figures to help students understand the concepts. The index of important calculus tools at the end of the book provides a... read more

The textbook is well written and clearly organized. The content is comprehensive yet the textbook includes many examples and figures to help students understand the concepts. The index of important calculus tools at the end of the book provides a good summary as well.

The textbook content is accurate and the language used is precise.

Textbook has up-to-date contents with a lot of real life examples.

The textbook is written clearly and it provides adequate context for any newly introduced concepts.

The textbook is consistent.

The textbook is well organized and can be easily and readily divisible into smaller sections according to various course purposes.

The topics in the textbook are presented in a clear fashion that helps students to better understand the material.

The original textbook is free of significant interface issues. But the scanned copy on the open textbook library is not very clear and could be updated for a better reading quality.

The textbook is well written and I am not aware of any grammatical errors.

The textbook is not culturally insensitive or offensive in any way. The examples in the textbook generally don't indicate races or ethnicities.

This textbook is well written and clearly organized. It contains a comprehensive list of contents and also includes many good examples and assignments which would help students succeed.

The book is well written and covers both big pictures and technical details of materials in calculus. However, in the current PDF version the index seems to be missing. From the table of contents it seems that the index pages are supposed to be in... read more

The book is well written and covers both big pictures and technical details of materials in calculus. However, in the current PDF version the index seems to be missing. From the table of contents it seems that the index pages are supposed to be in the original book.

The content is accurate and unbiased. There are no errors that I am aware of during the reading.

The text is up to date.

The text of this book is clear and easy to understand.

The book is consistent in terminology and notation.

The book is well organized, and it is possible to reorganize the sections to satisfy specific needs of a course.

The structure of the book is clear and the flow is easy to follow.

This comment is not regarding the book itself but rather the PDF version in the open textbook library. Since it is scanned from the book, there are distortion/aliasing of graphs/texts that may be noticed when reading.

There is no grammatical error that I noticed

The book make use of examples that are inclusive of a variety of races, ethnicities, and backgrounds.

The book was written very well. It covers all of important concepts in Calculus as well as related courses. The author provides real life examples to apply the concepts. read more

The book was written very well. It covers all of important concepts in Calculus as well as related courses. The author provides real life examples to apply the concepts.

The content of the book is very accurate.

The content of this book is up-to-date and the text is written straightforward and easily to understand.

The text is written very clear and lucid.

The book is very consistent in terms of terminology and framework. It is easy to follow.

The book is easily reorganized and realigned with various sub-units of a course. It can be divisible into smaller reading sections due to purposes of courses.

The topics in the book are presented very well. Concepts are very clear and flow well.

The book is free of significant interface issues. It does not content features that confuse readers.

The text contains no grammatical errors.

The book provides good examples in a variety of races, ethnicity, and backgrounds.

I think this is a good book for teaching Calculus courses.

## Table of Contents

- Preface
- Chapter 0: Highlights of Calculus
- Chapter 1: Introduction to Calculus
- Chapter 2: Derivatives
- Chapter 3: Applications of the Derivative
- Chapter 4: Derivatives by the Chain Rule
- Chapter 5: Integrals
- Chapter 6: Exponentials and Logarithms
- Chapter 7: Techniques of Integration
- Chapter 8: Applications of the Integral
- Chapter 9: Polar Coordinates and Complex Numbers
- Chapter 10: Infinite Series
- Chapter 11: Vectors and Matrices
- Chapter 12: Motion along a Curve
- Chapter 13: Partial Derivatives
- Chapter 14: Multiple Integrals
- Chapter 15: Vector Calculus
- Chapter 16: Mathematics after Calculus

## Ancillary Material

## About the Book

Published in 1991 by Wellesley-Cambridge Press, the book is a useful resource for educators and self-learners alike. It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications.

Prof. Strang has also developed a related series of videos, Highlights of Calculus, on the basic ideas of calculus.

## About the Contributors

### Author

**Gilbert Strang** was an undergraduate at MIT and a Rhodes Scholar at Balliol College, Oxford. His Ph.D. was from UCLA and since then he has taught at MIT. He has been a Sloan Fellow and a Fairchild Scholar and is a Fellow of the American Academy of Arts and Sciences. He is a Professor of Mathematics at MIT and an Honorary Fellow of Balliol College. Professor Strang has published eight textbooks. He was the President of SIAM during 1999 and 2000, and Chair of the Joint Policy Board for Mathematics. He received the von Neumann Medal of the US Association for Computational Mechanics, and the Henrici Prize for applied analysis. The first Su Buchin Prize from the International Congress of Industrial and Applied Mathematics, and the Haimo Prize from the Mathematical Association of America, were awarded for his contributions to teaching around the world.