This book is intended as a text for a course in analysis, at the senior or first-year graduate level. A year-long course in real analysis is an essential part of the preparation of any potential mathematician. For the first half of such a course, there is substantial agreement as to what the syllabus should be. Standard topics Spivak’s calculus is more rigorous and consists of many non-trivial problems . If you are at the absolute beginning stage of undergraduate degree and find proof based mathematics hard then Spivak’s book would be a nice book to bridge the gap .

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