Invitation to Real Analysis
Publisher: American Mathematical Society
Published: 2015
Language: eng
Number of pages: 661
ISBN-13: 9781939512055
Subjects: Functional analysis; Functions of real variables
Description: "Investigation of the theorems and methods that establish calculus. It is a textbook for an analysis course following Calculus II. It emphasizes the writing of proofs, and extends the development of limits, sequences, and infinite series. Riemann integration is discussed in depth. The axiomatic structures presented here build upward from those for natural numbers to those for real numbers. Related topics will interest those who need a theoretical background for secondary school teaching, the sciences, and the technologies. Historical material is included throughout the text ... . Many diagrams and hints support students as they navigate through the topics. Detailed solutions to odd-numbered exercises are included."--Back cover.