Good book recommendation for calculus

In summary, the conversation revolved around the need for a book to improve understanding of calculus and its related concepts. The book "Calculus: An Intuitive and Physical Approach" was mentioned but it was noted that it lacked in the area of proofs. Recommendations for other books were given, including Spivak, Apostol, Courant, and Comenetz's "Calculus, the elements." A review for Comenetz's book was also provided.
  • #1
thedude36
30
0
I'm looking for a book that could help me get a better grasp on calculus and its related concepts. I've been through all 3 calc courses (covered derivatives, integrations and techniques, vectors and fields and 3 dimensional applications) but i don't feel as though I've completely grasped everything involved. I'm hoping to build a more intuitive understanding if possible. I've been considering the book "Calculus: An Intuitive and Physical Approach" but have heard that it lacks in the area of proofs, which I was really hoping to come to understand. Would anyone have any recommendations for a good book to help me reach this end?
 
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  • #2
You could try Spivak...
 
  • #3
or Apostol
 
  • #6
It is hard to recommend with only what you have told us. But it sounds as if you know some techniques and want to understand intuition and rigor. Apostol and Spivak are good for rigor, and Courant is good for both. Another book I might suggest is by Michael Comenetz, Calculus, the elements.

https://www.amazon.com/dp/9810249047/?tag=pfamazon01-20here is my review:

http://www.worldscibooks.com/mathematics/4920_rev01.html
 
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  • #7
mathwonk said:
here is my review:

http://www.worldscibooks.com/mathematics/4920_rev01.html [Broken]

Thanks for the recommendation! The review was very thorough and it sounds like this book is exactly what i was looking for! Thanks again
 
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  • #8
mathwonk said:
It is hard to recommend with only what you have told us. But it sounds as if you know some techniques and want to understand intuition and rigor. Apostol and Spivak are good for rigor, and Courant is good for both. Another book I might suggest is by Michael Comenetz, Calculus, the elements.

https://www.amazon.com/dp/9810249047/?tag=pfamazon01-20here is my review:

http://www.worldscibooks.com/mathematics/4920_rev01.html
mathwonk's review is now at
http://www.worldscientific.com/page/4920-review01
 
Last edited by a moderator:

1. What are some good books for learning calculus?

Some good books for learning calculus include "Calculus: Early Transcendentals" by James Stewart, "Calculus" by Michael Spivak, and "Calculus: Concepts and Contexts" by James Stewart.

2. What is the best book for beginners in calculus?

The best book for beginners in calculus may vary depending on individual learning styles, but "Calculus: Early Transcendentals" by James Stewart is often recommended for its clear explanations and step-by-step examples.

3. Are there any online resources for learning calculus?

Yes, there are many online resources for learning calculus such as Khan Academy, MIT OpenCourseWare, and Coursera. These resources offer video lectures, practice problems, and interactive tools to help you learn calculus at your own pace.

4. What should I look for in a calculus book?

When choosing a calculus book, look for clear and concise explanations, a variety of practice problems, and detailed solutions. It is also helpful to find a book that aligns with your learning style and includes real-world applications of calculus.

5. Can you recommend a calculus book for self-study?

For self-study, "Calculus: Early Transcendentals" by James Stewart and "Calculus" by Michael Spivak are both highly recommended. These books have a comprehensive coverage of calculus topics and include plenty of practice problems with detailed solutions.

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