Name: Analysis: Foundations of Differential and Integral Calculus (en Inglés)
SKU: 68501389
Price: 55.67 USD
Availability: InStock
Author: Sina Lucien
ISBN: 9783696388287

portada Analysis: Foundations of Differential and Integral Calculus (en Inglés)

Analysis: Foundations of Differential and Integral Calculus (en Inglés)

Formato

Libro Físico

Editorial

Bod - Books On Demand

Autor

Sina Lucien

Idioma

Inglés

Encuadernación

Tapa Blanda

ISBN13

9783696388287

Analysis: Foundations of Differential and Integral Calculus (en Inglés)

Sina Lucien (Autor) · Bod - Books On Demand · Tapa Blanda

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Reseña del libro "Analysis: Foundations of Differential and Integral Calculus (en Inglés)"

This book offers a rigorous yet accessible introduction to mathematical analysis for undergraduate students in mathematics, physics, computer science, and engineering. It is designed as a textbook for a first university course in real analysis and calculus. The exposition begins with fundamental proof techniques, in particular mathematical induction, before constructing the real numbers as an ordered complete field, which serves as the foundation for all subsequent developments. Based on this framework, the core topics of analysis are developed in a clear and logically coherent manner, including sequences and limits, infinite series, continuous functions, differential calculus, and integral calculus. Further chapters cover uniform convergence, power series, Taylor expansions, and central convergence theorems. Throughout the book, emphasis is placed on mathematical rigor and conceptual understanding. Definitions, theorems, and proofs are presented in a structured and transparent way, highlighting their logical connections and underlying ideas. A large number of carefully selected examples and fully worked exercises support comprehension and encourage independent study. The book is suitable both as a companion to university lectures and for self-study, and it provides a solid foundation for advanced courses in mathematical analysis.