An introduction to analysis. (2021)

• Record Type: Book
• Further Information: Note: James R. Kirkwood.
• Authors: Kirkwood, James R
• Contents: Preface. Introduction. 1. The Real Number System. 1.1. Sets and Functions. 1.2. Properties of the Real Numbers as an Ordered Field. 1.3. The Completeness Axiom. 2. Sequences of Real Numbers. 2.1. Sequences of Real Numbers. 2.2. Subsequences. 2.3. The Bolzano-Weierstrass Theorem. 3. Topology of the Real Numbers. 3.1. Topology of the Real Numbers. 4. Continuous Functions. 4.1. Limits and continuity. 4.2. Monotone and Inverse Functions. 5. Differentiation. 5.1. The Derivative of a Function. 5.2. Some Mean Value Theorems. 6. Integration. 6.1. The Riemann Integral. 6.2. Some properties and applications of the Riemann Integral. 6.3. The Riemann-Stieltjes Integral. 7. Series of Real Numbers. 7.1. Tests for Convergence of Series. 7.2. Operations Involving Series. 8. Sequences and Series of Functions. 8.1. Sequences of functions. 8.2. Series of Functions. 8.3. Taylor Series. 8.4. The Cantor Set and Cantor Function. 9. Fourier Series. 9.1. Fourier Coefficients. 9.2. Representation by Fourier Series. Bibliography. Hints and Answers for Selected Exercises. Index.
• Edition: Third edition
• Publisher Details: Boca Raton : Chapman & Hall/CRC
• Publication Date: 2021
• Extent: 1 online resource, illustrations (black and white)
• Subjects: 515.83; Mathematical analysis
• Languages: English
• ISBNs: 9781000403565; 9781000403558; 9781003145141
• Related ISBNs: 9780367702359
• Notes: Note: Includes bibliographical references and index.; Note: Description based on CIP data; resource not viewed.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.