Custom cover image
A Problem Book in Real Analysis / by Asuman G. Aksoy, Mohamed A. Khamsi
Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Problem Books in Mathematics | SpringerLink BücherPublisher: New York, NY : Springer Science+Business Media, LLC, 2010Description: Online-Ressource (X, 254 p. 17 illus., 8 illus. in color, digital)ISBN:- 9781441912961
- 1280391219
- 9781280391217
- 515.8 23
- 515
- QA299.6-433
- QA300
Contents:
Summary: Elementary Logic and Set Theory -- Real Numbers -- Sequences -- Limits of Functions -- Continuity -- Differentiability -- Integration -- Series -- Metric Spaces -- Fundamentals of Topology -- Sequences and Series of Functions.Summary: Today, nearly every undergraduate mathematics program requires at least one semester of real analysis. Often, students consider this course to be the most challenging or even intimidating of all their mathematics major requirements. The primary goal of A Problem Book in Real Analysis is to alleviate those concerns by systematically solving the problems related to the core concepts of most analysis courses. In doing so, the authors hope that learning analysis becomes less taxing and more satisfying. The wide variety of exercises presented in this book range from the computational to the more conceptual and varies in difficulty. They cover the following subjects: set theory; real numbers; sequences; limits of the functions; continuity; differentiability; integration; series; metric spaces; sequences; and series of functions and fundamentals of topology. Furthermore, the authors define the concepts and cite the theorems used at the beginning of each chapter. A Problem Book in Real Analysis is not simply a collection of problems; it will stimulate its readers to independent thinking in discovering analysis. Prerequisites for the reader are a robust understanding of calculus and linear algebra.PPN: PPN: 1649906242Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SXMS | ZDB-2-SMA
""Contents""; ""Preface""; ""Chapter 1 Elementary Logic and Set Theory""; ""Chapter 2 Real Numbers""; ""Chapter 3 Sequences""; ""Chapter 4 Limits of Functions""; ""Chapter 5 Continuity""; ""Chapter 6 Differentiability""; ""Chapter 7 Integration""; ""Chapter 8 Series""; ""Chapter 9 Metric Spaces""; ""Chapter 10 Fundamentals of Topology""; ""Chapter 11 Sequences and Series of Functions""; ""Bibliography""; ""Index""
No physical items for this record