I was ask to teach Mathematical Analysis this semester. I just want to ask if you can recommend a good reference material for Introductory Mathematical Analysis subject. Currently I am planning to use Mathematical Analysis by Tom Apostol. Aside from this book can you recommend other book that can possibly be used? thanks in advance Sirs and Mams.
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There are lots of similar questions here already: http://math.stackexchange.com/questions/62212/good-book-for-self-study-of-a-first-course-in-real-analysis, http://math.stackexchange.com/questions/50444/teaching-introductory-real-analysis, etc. – Hans Lundmark Jan 13 '17 at 09:27
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It really depends on many things: the student level, the course syllabus, the program (engineering or science), university or high school etc. If you supplied more information it would be possible to provide better suggestions. – A.Γ. Jan 13 '17 at 09:42
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Hi @A.G. the level is undergraduate mathematics. Thanks – Jr Antalan Jan 13 '17 at 13:59
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Thanks @Hans for the links. – Jr Antalan Jan 13 '17 at 14:00
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Does this answer your question? Good book for self study of a First Course in Real Analysis – May 04 '23 at 00:40
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"Introductory Real Analysis" - Kolmogorov and Fomin.
It covers almost everything students need to know about set theory, metric spaces, topological spaces, linear spaces, functionals and operators, measure, integrations, differentiation. This book covered everything I learned in 3 semesters of real analysis.
Tesla
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I have no clue which book is really good though, that is what my lecturer recommended me, so I bought it and used it for exam preparation. – Tesla Jan 13 '17 at 07:23
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Hi @Tesla thanks for your answer. I just wondering if you know a book that caters purely mathematical analysis since we have both real and complex analysis. Thanks. An upvote though for your answer. thanks a lot. I will try to find the book you recommend. – Jr Antalan Jan 13 '17 at 07:26