An introduction to analytic functions : with theoretical implications /: with theoretical implications. (2020)

• Record Type: Book
• Further Information: Note: John Sheridan Mac Nerney ; edited by William E. Kaufman, Ryan C. Schwiebert.
• Other Names: Mac Nerney, J. S (John Sheridan), 1923-; Kaufman, William E; Schwiebert, Ryan C
• Contents: Intro -- Preface by the Editors -- Preface by the Author -- About This Book -- What Type of Text Is This, and From Whence Did It Come? -- How Is This Book Different from Previous Versions? Why Change It? -- Suggestions for Using This Book -- Chapter Notes -- Acknowledgements -- Contents -- About the Author -- 0 Conventions, Set Theory, Number Systems -- 1 The Complex Plane, Relations, Functions -- 2 Boundedness, Convergence, Continuity -- Optional Project -- 3 Paths, Integrals, Derivatives -- 4 Connectedness, Convexity, Analyticity -- 5 Triangles, Polygons, Simple Regions 6 Extensions, Contours, Elementary Functions -- 7 Power-Series, Residues, Singularities -- 8 Analytic Inverses, Standard Regions, Convergence Continuation -- 9 Extended Complex Plane, Linear-Fractional Transformations, Meromorphic Functions -- 10 Analytic Relations, Analytic Continuation, Functional Boundaries, Branch-Points -- A Homotopy Groups -- B Automorphic Functions -- C Excepted Values and Uniformization -- D Well-ordering -- E Analytic Surfaces -- Selected Works by Mac Nerney -- Mac Nerney's theorem numbering in the original edition -- Index
• Edition: Rev. ed
• Publisher Details: Cham : Springer
• Publication Date: 2020
• Extent: 1 online resource (96 pages)
• Subjects: 515/.94; Analytic functions; Electronic books
• Languages: English
• ISBNs: 9783030420857
• Related ISBNs: 303042085X; 3030420841; 9783030420840
• Notes: Note: Print version record.
• 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.