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"I read the PDF but failed the exam." Solution: Reading is passive. Analysis is active. You must attempt the unsolved problems. The PDF gives a false sense of fluency. Use the book to do mathematics, not read about it.

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"The theorems don't make sense." Solution: Supplement the PDF with YouTube lectures (e.g., Dr. Gajendra Purohit or Michael Penn ). Search "Real Analysis Arumugam Isaac explanation" to find tutors who specifically follow this book. The Verdict: Is this PDF truly "Better"? Yes—with conditions. "I read the PDF but failed the exam