Basic Elements of Real Analysis

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Designed for a concise one-semester course, this volume offers a clear and accessible introduction to real analysis, catering to mathematics and science students. Key topics include the real number system, foundational calculus theories, metric space topology, and infinite series. The author emphasizes detailed proofs of essential theorems on limits, ensuring a thorough understanding. With over 45 illustrative figures and numerous examples, the text aims to simplify complex concepts while maintaining academic rigor.