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Book synopsis

This book provides a rigorous and accessible introduction to mathematical analysis for undergraduate students in mathematics, physics, computer science, and engineering. Following the curriculum of a first university course in real analysis and calculus, it develops the subject in a clear, logical, and systematic way.Beginning with proof techniques, especially mathematical induction, the book establishes the real numbers as an ordered complete field before introducing sequences and limits, infinite series, continuous functions, differential calculus, and integral calculus. Additional topics include uniform convergence, power series, Taylor expansions, and the fundamental convergence theorems of analysis.Emphasizing mathematical rigor and conceptual understanding, the book presents definitions, theorems, and complete proofs in a coherent framework. Numerous worked examples and fully solved exercises make it suitable for self-study, university courses, and examination preparation, while providing a solid foundation for further studies in mathematical analysis.

Book details

• Full title: Analysis
• Subtitle: Foundations of Differential and Integral Calculus.DE
• Author: Lucien Sina
• Language: English
• Binding: Paperback
• Number of pages: 608
• EAN: 9783565538546
• ID: 53064056
• Publisher: epubli
• Weight: 700 g
• Dimensions: 190 × 125 × 34 mm

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