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BooksMOUAUMth 223

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Real Analysis I

Mth 223: REAL ANALYSIS I

ByDaniel Francis
SchoolMichael Okpara University of Agricultural Umudike
DepartmentMathematics, Statistics, Computer Science
CategoryLecture NotesTextbooks
Levels100200300
₦ 5000
Preview Book

Description

Real Analysis I by Dr Francis Daniel is more than a course book, it is a guide to thinking rigorously, solving confidently, and discovering the beauty behind advanced mathematics.




Designed for undergraduate mathematics students, this book transforms fundamental ideas of real analysis into a structured learning experience, covering sets, functions, sequences, limits, convergence, inequalities, continuity, and rigorous ε–δ arguments.




✦ What This Book Offers




- ◆ Build Your Mathematical Foundation: Develop the essential concepts that form the backbone of higher mathematics.




- ∞ Master the Language of Limits: Understand sequences, convergence, limits, and the ideas that make calculus rigorous.




- ∴ Think Like a Mathematician: Strengthen logical reasoning and learn how to approach mathematical arguments with precision.




- ∎ Unlock the Art of Proof: Develop confidence in constructing, understanding, and applying rigorous mathematical proofs.




- ★ Sharpen Your Problem-Solving Skills: Learn techniques that turn challenging analytical problems into manageable steps.




- ➤ Prepare for What Comes Next: Build the mathematical maturity needed for examinations, advanced courses, pure mathematics, applied mathematics, and mathematical modelling.




Learn the concepts. Master the reasoning. Discover the elegance of Real Analysis.