Should I read Introduction to Calculus and Analysis by Courant?

In summary, the conversation discusses different books on calculus and analysis, with a recommendation to read Introduction to Calculus and Analysis by Courant. The importance of choosing a rigorous book is emphasized, and a suggestion is made to find Blank's solution manual for additional practice. However, it is noted that this suggestion is only applicable to the first volume of Courant and Fritz.
  • #1
Paul_dirac
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Should i read Introduction to Calculus and Analysis by Courant?
I have calculus background I want to study multivariable and single variable in rigorous way
There is a lot of books in this subject like Spivak, apstoal,Courant,... . I am not sure what to choose
 
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  • #2
Come on Paul, you of all people don't need that kind of thing. :wink:

Seriously speaking: Nice, welcome to mathematical analysis. There was a topic on this recently that you may find useful. The forum search finds more such topics, as well as reviews of books. Opinions on what is (are) the best book(s) vary quite a bit, and the answer probably also depends on your own goals. (What do you want to do with your newly acquired knowledge?)

In general, whatever you choose, I would not opt for one of the "mathematical methods for physicists" books. They may be fine for what they aim to do, but usually rigor (in the mathematical sense) is not really part of that aim.
 
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  • #3
Why not, there are some good exercises in it.

My suggestion find Blank's solution manual to these books, you can find a scanned copy of it in the internet, of course.
 
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My suggestion of Blank's book is only valid for the first volume of Courant and Fritz.
The second volume has answers in the back of the book.
 

FAQ: Should I read Introduction to Calculus and Analysis by Courant?

1. What is the purpose of reading Introduction to Calculus and Analysis by Courant?

The purpose of reading Introduction to Calculus and Analysis by Courant is to gain a comprehensive understanding of the fundamental concepts and techniques of calculus and mathematical analysis. This book covers topics such as limits, derivatives, integrals, sequences and series, and more advanced topics like multivariable calculus and differential equations.

2. Is this book suitable for beginners?

Yes, this book is suitable for beginners as it starts with the basics of calculus and gradually progresses to more advanced topics. However, some prior knowledge of algebra and trigonometry is recommended.

3. How is this book different from other calculus textbooks?

This book is known for its rigorous and in-depth approach to teaching calculus and analysis. It also includes historical and philosophical discussions, as well as numerous examples and exercises to reinforce the concepts learned.

4. Can this book be used for self-study?

Yes, this book can be used for self-study as it is well-structured and contains comprehensive explanations and exercises. However, it is recommended to consult with a teacher or tutor for further clarification and guidance.

5. Is this book relevant for other fields of study?

Yes, this book is relevant for various fields of study such as physics, engineering, economics, and more. The concepts and techniques learned in calculus and analysis are widely applicable in many areas of science and technology.

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