Princeton University Press, Princeton, NJ. 2008. Dunnington, G. W. Gauss: Titan of Science. Math. Assoc, of America, Washington, DC. 2004. Ellis, W., Bauldry, W., Fiedler, J„ Giordano, F., Judson, P., Lodi, E., Vitray, R., & West, ...
2.62 Consider the series 1 , 1'3 , 1 ~ 3 ~ 5 2 2 - 4 2 ~ 4 I 6 Show the series a) fails the ratio test b) fails the root test c) diverges by Raabe's test. 2.63 Does the following graph illustrate uniform convergence? Why or why not?
Helps one develop the ability to think deductively, analyse mathematical situations and extend ideas to a new context.
Using an extremely clear and informal approach, this book introduces readers to a rigorous understanding of mathematical analysis and presents challenging math concepts as clearly as possible.
The text covers all of the topics essential for an introductory course, including Lebesgue measure, measurable functions, Lebesgue integrals, differentiation, absolute continuity, Banach and Hilbert spaces, and more.
Real. Numbers. The key to understanding many of the fundamental concepts of calculus, such as limits, continuity, and the integral, is the least upper bound property of the real number system R. As we all know, the rational number ...
This text is a single variable real analysis text, designed for the one-year course at the junior, senior, or beginning graduate level. It provides a rigorous and comprehensive treatment...
This text forms a bridge between courses in calculus and real analysis. Suitable for advanced undergraduates and graduate students, it focuses on the construction of mathematical proofs. 1996 edition.
Introduction to Real Analysis
Traces the development of the one-day game and revisits some of the memorable moments and great players.
A list of updates is found in the Preface to this edition. This text is based on the author’s experience in teaching graduate courses and the minimal requirements for successful graduate study.
In recent years, mathematics has become valuable in many areas, including economics and management science as well as the physical sciences, engineering and computer science. Therefore, this book provides the...
An elementary introduction to analysis. Limits the discussion to one variable, and presents detailed explanations and examples, focusing considerable attention on error estimation and other concepts relevant to computer science.
Introduction to Real Analysis
This text forms a bridge between courses in calculus and real analysis. Suitable for advanced undergraduates and graduate students, it focuses on the construction of mathematical proofs. 1996 edition.