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Best practice book for calculus [closed]

I tried with every inch in me to not ask a question such as this but I just couldn't resist asking this.

What is the best Calculus practice book?

I tried looking around but couldn't find a decent consensus on one book or even a few. It would be great if someone could point me towards a book that has both challenging and fun problems and furthermore, allows the student to build a strong foundation while doing those problems.

Thanks a bunch!

  • reference-request
  • soft-question
  • book-recommendation

Martin Sleziak's user avatar

  • 1 $\begingroup$ I very much doubt you will find a few answers, it depends too much on material to cover and personal preferences. In any case, look over ocw.mit.edu , there you'll find much stuff like homework and exams with solutions. I personally like Chen's lecture notes < rutherglen.science.mq.edu.au/~maths/notes/wchen/ln.html > and the books by the Trillia Group < trillia.com >. Not too much calculus oriented, but fun and challenging problems are found in the math olympiad sites, particularly those which have material for contestant preparation. $\endgroup$ –  vonbrand Commented Feb 5, 2013 at 21:51
  • $\begingroup$ Related: math.stackexchange.com/questions/170196/… $\endgroup$ –  Martin Sleziak Commented Aug 15, 2014 at 16:30

6 Answers 6

  • Collection of problems in analysis by B.P. Demidovich
  • Problems in Mathematical Analysis B.P. Demidovich

These books are very famous here in Brazil. It's very organized and easy to get addicted.

Paulo Henrique's user avatar

  • $\begingroup$ these are good books, but I don't think it's famous in Brazil. $\endgroup$ –  user42912 Commented Feb 8, 2013 at 19:16

Somewhere in 3k problems you should cover almost everything

http://www.amazon.com/Schaums-000-Solved-Problems-Calculus/dp/0071635343/ref=pd_sim_b_1

  • 3 $\begingroup$ In my experience, Schaum's books are collections of more drill-type problems, not what OP is looking for. $\endgroup$ –  vonbrand Commented Feb 5, 2013 at 21:53
  • $\begingroup$ @Andrew I'm looking for books that have easy problems at first but they build up into more harder problems later. Hopefully, the book you have provided does not have incredibly difficult problems but I shall give it a try, nonetheless. $\endgroup$ –  Jeel Shah Commented Feb 5, 2013 at 22:44
  • $\begingroup$ @gekkostate Thanks for the specifics of what you are looking for. Schaum's outlines are quite user friendly. Since all the problems are solved, you can use it to your advantage to see if the solutions come easy to you or not, so you can pick the start level you want. On the other hand, even though you would have the solutions, once you get going, try not to look at them at least until you have written down (pencil on paper is important) how to at approach the problem or what you would like to know. Then look. Check the solutions after for confirmation or perhaps a different/better approach. $\endgroup$ –  user12802 Commented Feb 5, 2013 at 22:56

Problems in Calculus of One Variable, with Elements of Theory by IA Maron is good for problems as well as revising single variable calculus.

http://books.google.co.in/books/about/Problems_in_Calculus_of_One_Variable_wit.html?id=2svbSAAACAAJ

Mohan's user avatar

How hard did you look? Just search "Calculus Textbook" in the search bar. I found the following links that you may find useful: 1 , 2 , 3 , ....

Community's user avatar

  • $\begingroup$ Yes but I am not looking for a textbook, rather I am looking for a book that has problems that will build my foundation and while I do these problems, I want to be able to solidify my foundation. I already have a decent textbook but I will look at the links you have provided. $\endgroup$ –  Jeel Shah Commented Feb 5, 2013 at 22:42
  • $\begingroup$ Well if your just looking for a problem book why not go with Schaums book of 3000 problems. I believe that will help you out $\endgroup$ –  Amateur Math Guy Commented Feb 6, 2013 at 7:07

Try these two:

  • Calculus: 1,001 Practice Problems For Dummies
  • Calculus Workbook For Dummies

Anay Karnik's user avatar

  • Hard and imaginative problems the whoascum county problem book
  • the green/red book of math problems.

Aditya Dev's user avatar

Not the answer you're looking for? Browse other questions tagged calculus reference-request soft-question book-recommendation .

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Calculus Problem Solver

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Each Problem Solver is an insightful and essential study and solution guide chock-full of clear, concise problem-solving gems. All your questions can be found in one convenient source from one of the... This description may be from another edition of this product.

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This is exactly what the title says, step by step, great for university students, calculus: oh how i love it, popular categories.

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  • 7 Best Calculus Textbooks for Self Study (2022 Review)

September 20, 2020 by James Wilson

best calculus textbooks

DISCLOSURE: This post may contain affiliate links, meaning when you click the links and make a purchase, I receive a commission. As an Amazon Associate I earn from qualifying purchases.

Calculus is a branch of mathematics that focuses on studying rates of change. It was basically invented to study motion and can be really frustrating. Most students dread being in a calculus class and certainly wouldn’t try to study it by themselves.

What are the Best Calculus Textbooks for Self Study to read?

Calculus

The invention of calculus brought a new dimension to mathematics. Originally, mathematics was only able to calculate objects that were completely static so there was no answer to a lot of questions.

Calculus solved this problem by helping to calculate objects that were in constant motion. It is important that you are able to study calculus yourself since it is used across several fields.

Best Textbooks on Calculus: Our Top 7 Picks

In this post, we suggest seven of the best calculus textbooks you can use for self-study:

1. Calculus (10th Edition)

calculus problem solver book

Calculus 10th Edition presents a solid teaching method that would fit into just about any environment. This adaptability is one of the reasons why it comes highly recommended. The book integrates media, print, and technology to efficiently aid learning and teaching.

Using the book with the website makes it a more interesting experience as a lot of comprehensive proofs are provided online to help the reader understand. Odd questions and their answers are also presented in very clear terms.

Readers applaud the authors and, even though the book is a bit costly, they say it is worth the price. It is not just for students of mathematics – students of physics, engineering, chemistry, etc. can make use of the textbook too.

The methods used make it easy for self-study, which is why it made its way onto this list.

  • Author : Ron Larson and Bruce Edwards
  • Publisher : Cengage Learning; 10 Edition (January 1, 2013)
  • Pages : 1280 pages
  • Edition : Tenth Edition

2. Calculus: An Intuitive and Physical Approach (Second Edition)

calculus problem solver book

Morris Kline uses a more application-oriented approach in this book to talk about calculus.

Some of the topics treated include:

  • In-depth explorations of the derivative
  • Differentiation and integration of the powers of x
  • Theorems on differentiation and antidifferentiation
  • Definition of the chain rule
  • Examinations of trigonometric functions
  • Logarithmic and exponential functions
  • Techniques of integration
  • Polar coordinates

The author uses easy to understand explanations to help students and teachers alike, alongside lots of drills and illustrative examples.

With consistent use of this book, you should get a grasp of calculus without help as it presents the concepts of calculus very simply. Lastly, there is a solution guide for the reader which is available on request.

  • Author: Morris Kline
  • Publisher: Dover Publications; 2 Edition (June 19, 1998)
  • Pages: 960 pages
  • Edition: Second Edition

3. The Humongous Book of Calculus Problems

calculus problem solver book

As the name suggests, The Humongous Book of Calculus Problems is written based on the philosophy that solving problems is the best way to grasp calculus.

Hearing this philosophy might be scary to the student before flipping open the book cover. However, the author, W. Michael Kelley, has made it really easy to understand calculus by providing lots of notes.

The book provides:

  • A thousand calculus problems along with comprehensive solutions.
  • Explanatory notes to help the reader understand each question properly.
  • Detailed answers.
  • Pointers to other calculus problems, revealing the specific skills required for each one.

This text includes problems relating to limits, derivatives, continuity, tangent lines, integrals, area, velocity, volume, acceleration, infinite series, etc.

One of the main reasons why it is recommended for self-study by readers is how the solutions are presented.

This book should be a great companion if you love to go through the solutions to problems but if you want to solve lots of problems without any help, you might want to go for something more advanced.

  • Author: W. Michael Kelley
  • Publisher: Alpha; Later Printing Edition (January 2, 2007)
  • Pages: 576 pages
  • Series: Humongous Books

4. Calculus (by James Stewart)

calculus problem solver book

Studying calculus on its own requires a lot of motivation because it can be really frustrating. With this in mind, you don’t want a text that is equally frustrating. This textbook presents its ideas in a clear and accurate manner, along with the notes are several real-world examples relevant to each topic discussed.

As you study this text, you are bound to start to appreciate the intrinsic beauty of calculus and to experience the utility of the subject in the development of technical competence. This is practically required if you are going to be able to apply calculus to real-life situations.

By the time you are done, it is expected that you truly have a firm grasp on the subject through examples and their accompanying learning aids. Readers have described the text as rich, concise, deep, and clear.

  • Author: James Stewart
  • Publisher: Cengage; 8 Edition (May 19, 2015)
  • Pages: 1392 pages
  • Edition: 8th Edition

5. Barron’s AP Calculus

calculus problem solver book

The book comes with a CD-ROM which collates practice exams, past questions and their solutions, and more. There is also a bonus online practice test with all the questions answered and properly explained.

Barron’s AP Calculus is considered to be really efficient support when preparing for exams. The only challenge most readers complain about is the hefty size of the book. The plus side is that you get to solve more difficult questions than those that are likely to be set in real exams.

  • Author: David Bock, Dennis Donovan
  • Publisher: Barrons Educational Series; 14 Edition (February 1, 2017)
  • Pages: 656 pages
  • Edition: Fourteenth Edition

6. Calculus: 1,001 Practice Problems For Dummies

calculus problem solver book

To help the student with self-evaluation, an online component is added, presenting a variety of calculus problems in a multiple-choice format. The book:

  • Provides a chance to boost the student’s confidence through practice questions that help in reinforcing problem-solving skills.
  • Improves the student’s understanding of the subject.
  • Provides detailed answers to problems.

This book will help you grasp the basics of calculus and even other aspects of mathematics. Using the online platform gives you a chance at enjoying several benefits which will be instrumental in achieving your calculus goals.

  • Author: Patrick Jones
  • Publisher: For Dummies; 1 Edition (August 4, 2014)
  • Pages: 624 pages
  • Edition: First Edition

7. Calculus: Early Transcendentals

calculus problem solver book

The reader is expected to have developed technical competence as a result of using this book and an appreciation of the application of calculus to real-life.

The book comes with learning aids aimed at building mathematical confidence as well as achieving set calculus goals. Readers have commended the author’s approach and labeled the book as one of the best on calculus.

Calculus: Early Transcendentals presents you with more in-depth information compared to that which is taught in class. To enjoy the added benefits, you should open a Cengage account online.

  • Publisher: Brooks Cole; 8 Edition (February 4, 2015)
  • Pages: 1368 pages
  • Edition: Eighth Edition

Calculus should be lots of fun with any of these books, which are all easy to understand, making them perfect for both teaching and self-study.

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