Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
612-822-4611

  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Analysis: Foundations of Differential and Integral Calculus

Analysis: Foundations of Differential and Integral Calculus

Sina, Lucien

Paperback

General Mathematics

ISBN10: 3696388289
ISBN13: 9783696388287
Publisher: Bod - Books on Demand
Published: Jul 8 2026
Pages: 624
Weight: 1.34
Height: 1.38 Width: 5.00 Depth: 8.00
Language: English
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.

Also from

Sina, Lucien

View All

Also in

General Mathematics

View All