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Can someone suggest an introductory book to this subject?

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In summary, a high school student has completed their mathematical education and is now interested in Analysis. They recommend either 'Calculus' or 'Mathematical Analysis' as introductory texts, but caution against starting with a more elementary text.

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Can someone suggest an introductory book to this subject?

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"Introduction to Calculus and Analysis Volume 1" - Richard Courant & Fritz John

"Calculus" - Michael Spivak

"Calculus" - Tom Apostol

If you have already learned this, you may want to pick up Rudin's "Principles of Mathematical Analysis", Apostol's "Mathematical Analysis" or Charles Pugh's "Real Mathematical Analysis"

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Either

'Calculus'

or

'Mathematical Analysis'

Both books by Binmore are modern and first rate.

'Calculus'

or

'Mathematical Analysis'

Both books by Binmore are modern and first rate.

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If you want a cheap intro analysis text that is fairly excellent, I would recommend Maxwell Rosenlicht's Introduction to Analysis. This text is very easy to read, and is probably a good supplement to a more comprehensive text such as Apostol's analysis text. It starts with the axioms of the real numbers and culminates with a discussion of analysis in R^n. Since you can get the Dover copy for like 10 bucks, it's also a good deal.

The purpose of "Exploring Analysis: Suggested Books for High School Students" is to provide a list of recommended books for high school students who are interested in exploring the field of analysis, which is a branch of mathematics that deals with the study of limits, derivatives, integrals, and infinite series.

The target audience for "Exploring Analysis: Suggested Books for High School Students" is high school students who have a strong interest in mathematics and are looking to further their understanding of analysis.

The books were selected based on their relevance to the topic of analysis and their suitability for high school students. The list was also curated by consulting with experienced mathematics educators.

These books can be used for both self-study and in a classroom setting. They are written in a way that is accessible to high school students, but they also provide enough depth and rigor for a thorough understanding of analysis.

No, these books should not be used as a replacement for a traditional high school mathematics curriculum. They are meant to supplement and enhance the understanding of analysis, but they do not cover all the topics typically taught in a high school math curriculum.

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