Alex B Chaney

Mathematical Analysis Alex B Chaney

Are you struggling with your first mathematics course in analysis? This book is designed to spell out many details that are overlooked in traditional books. But, also move quickly through the core topics of rational numbers, real numbers, sequences, continuity, uniform continuity, integration, derivative, and sequences of functions, all in one variable. The central theme is the use of sequences to develop most of the other topics. The presentation highlights branches to other related subjects such as topology, complex analysis, and generalized functions at the conclusion. The secant method, decimal representations of real numbers, series solutions to differential equations, and Taylor series are included as motivating applications.