A Course in Calculus and Real Analysis by Sudhir R. Ghorpade

In summary, the conversation discusses a new book and provides links to reviews of the book. The reviewers mention that the book is very terse and should be used as a reference rather than a book to learn from. They also compare it to other textbooks like Rudin and Spivak, with Spivak being less terse but still challenging. The conversation concludes with the reviewer stating that the book may be enjoyable for the right reader.
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  • #2
This book looks VERY terse. Books that are this terse are best regarded as references rather than books to learn from. I include Rudin in this. Spivak is less terse, it is a better book.

I have only read the first edition of Spivak and for me, the problems were a little too difficult and left me feeling beat up after solving them. But for the right reader, it would be a highly enjoyable read for sure.
 

1. What is the main focus of "A Course in Calculus and Real Analysis by Sudhir R. Ghorpade"?

The main focus of "A Course in Calculus and Real Analysis by Sudhir R. Ghorpade" is to provide a comprehensive and rigorous introduction to the fundamental concepts of calculus and real analysis. It covers topics such as limits, derivatives, integrals, sequences and series, continuity, and differentiability.

2. Is this book suitable for beginners in calculus and real analysis?

Yes, this book is suitable for beginners in calculus and real analysis. It starts with a review of basic mathematical concepts and gradually builds up to more advanced topics. The book also includes numerous examples and exercises to help readers develop a strong understanding of the material.

3. What sets this book apart from other textbooks on calculus and real analysis?

This book stands out for its clear and concise explanations, numerous examples and exercises, and its focus on connecting theory to real-world applications. It also includes discussions on the historical development of calculus and real analysis, providing a deeper understanding of the subject.

4. Does this book cover both single and multivariable calculus?

Yes, this book covers both single and multivariable calculus. It includes topics such as partial derivatives, multiple integrals, and vector calculus, making it a comprehensive resource for both single and multivariable calculus.

5. Is this book suitable for self-study or is it better for classroom use?

This book can be used for both self-study and classroom use. It is written in a clear and accessible style, making it easy to understand for self-learners. It also includes exercises and solutions, making it a valuable resource for teachers and students in a classroom setting.

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