This is the sequel to Problems in Mathematical Analysis I: Real Numbers, Sequences and Series (volume 4 in the AMS series, the Student Mathematical Library). As in the first volume, this book is divided into two parts. The first is a collection of exercises and problems, and the second contains their solutions. The book mainly deals with real functions of one real variable. Topics include: properties of continuous functions, intermediate value property, uniform continuity, mean value theorems, Taylor's formula, convex functions, sequences and series of functions.
This is the sequel to Problems in Mathematical Analysis I: Real Numbers, Sequences and Series (volume 4 in the AMS series, the Student Mathematical Li...
This is the first volume of a series of books of problems in mathematical analysis. It is mainly intended for students studying the basic principles of analysis. However, given its organization, level, and selection of problems, it would also be an ideal choice for tutorial or problem-solving seminars, particularly those geared toward the Putnam exam. The volume is also suitable for self-study.
This is the first volume of a series of books of problems in mathematical analysis. It is mainly intended for students studying the basic principles o...
Discusses the Riemann and the Riemann-Stieltjes integrals. This book deals with Lebesgue measure and integration. It is suitable for students studying the basic principles of analysis.
Discusses the Riemann and the Riemann-Stieltjes integrals. This book deals with Lebesgue measure and integration. It is suitable for students studying...