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Real Analysis: 100+ Exercises with Detailed Solutions | From Real Numbers to Riemann Integration

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Management number 220514090 Release Date 2026/05/03 List Price US$9.60 Model Number 220514090
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The essential tool for acing your analysis and advanced calculus exams.This workbook is tailored for students in mathematics, physics, and engineering who want to master the rigor of real analysis. It bridges the gap between intuitive calculus and formal mathematical proofs.What you will find inside:✅ Real Number Properties: Field axioms, Supremum/Infimum, and density.✅ Sequences & Series: Convergence, Cauchy criteria, Bolzano-Weierstrass, and series tests.✅ Limits & Continuity: The Epsilon-Delta definition and intermediate value theorems.✅ Differentiability: Rolle’s Theorem, Mean Value Theorem, and Taylor expansions.✅ Riemann Integration: Definitions, Riemann sums, and the Fundamental Theorem of Calculus.Each exercise comes with a step-by-step detailed solution, explaining the logic behind every proof and calculation. Perfect for exam preparation and self-study. Read more


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