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The Real Numbers and Real Analysis
Langbeschreibung
This text is a rigorous, detailed introduction to real analysis that presents the fundamentals with clear exposition and carefully written definitions, theorems, and proofs. The choice of material and the flexible organization, including three different entryways into the study of the real numbers, making it equally appropriate to undergraduate mathematics majors who want to continue in mathematics, and to future mathematics teachers who want to understand the theory behind calculus. The Real Numbers and Real Analysis is accessible to students who have prior experience with mathematical proofs and who have not previously studied real analysis. The text includes over 350 exercises.
Hauptbeschreibung
Provides an unusually thorough treatment of the real numbers, emphasizing their importance as the basis of real analysis
Inhaltsverzeichnis
Preface.-To the Student.-To the Instructor.- 1. Construction of the Real Numbers.- 2. Properties of the Real Numbers.- 3. Limits and Continuity.- 4. Differentiation.- 5. Integration.- 6. Limits to Infinity.-7. Transcental Functions.-8. Sequences.- 9. Series.- 10. Sequences and Series of Functions.- Bibliography.- Index.
Dr. Ethan D. Bloch of Bard College is the author of two Springer publications "A First Course in Geometric Topology and Differential Geometry," and the first and second editions of, "Proofs and Fundamentals: A First Course in Abstract Mathematics." More information about Dr. Ethan D. Bloch can be found on his person web page: math.bard.edu/bloch
ISBN-13:
9780387721767
Veröffentl:
2011
Erscheinungsdatum:
27.05.2011
Seiten:
554
Autor:
Ethan D Bloch
Gewicht:
988 g
Format:
245x167x37 mm
Sprache:
Englisch
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