An Introduction to Mathematical Analysis

Download or read book An Introduction to Mathematical Analysis written by Herbert Stanley Bear and published by . This book was released on 1997 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Mathematical Analysis provides detailed explanations and exhaustive proofs, and follows an axiomatic approach to presenting the material. The text assumes that the student has little background in mathematical analysis; therefore, the initial pace is slowed down. The proofs are formal, complete, and augmented by an informal and heuristic explanation. The author presents the subject in clear and evocative language, and includes treatment of the Lebesgue integral, a topic not usually found in texts of this level. Mathematical problems are included throughout the text and are designed to get the student involved at every stage. Key Features: * All the information introduced is proved by axioms * Extensive proofs are formal and complete * Includes a novel treatment of the Lebesgue Integral * Emphasis on developing proofs helps students acquire skills essential to subsequent courses