Understanding real analysis. (©2010)

• Record Type: Book
• Further Information: Note: Paul Zorn.
• Other Names: Zorn, Paul, 1951-
• Contents: Preface; 1 Preliminaries: Numbers, Sets, Proofs, and Bounds ; Numbers 101: The Very Basics; Sets 101: Getting Started; Sets 102: The Idea of a Function; Proofs 101: Proofs and Proof-Writing; Types of Proof; Sets 103: Finite and Infinite Sets; Cardinality; Numbers 102: Absolute Values; Bounds; Numbers 103: Completeness; 2 Sequences and Series ; SequencesandConvergence; WorkingwithSequences; Subsequences; CauchySequences; Series 101: Basic Ideas; Series 102: Testing for Convergence and Estimating Limits; Limsupandliminf:AGuidedDiscovery; 3 Limits and Continuity ; LimitsofFunctions; Continuous Functions; WhyContinuityMatters:ValueTheorems; UniformContinuity; 4 Derivatives ; DefiningtheDerivative; CalculatingDerivatives; TheMeanValueTheorem; SequencesofFunctions; 5 Integrals ; The Riemann Integral: Definition and Examples; Propertiesof the Integral; Integrability; Some Fundamental Theorems; Solutions
• Publisher Details: Natick, Mass : A K Peters
• Publication Date: 2010
• Copyright Date: 2010
• Extent: 1 online resource (x, 292 pages), illustrations
• Subjects: 515; Mathematical analysis -- Textbooks; Mathematical analysis; Electronic books; Textbooks
• Languages: English
• ISBNs: 9781439894323; 1439894329
• 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.