E-Book, Englisch, 264 Seiten, eBook
Ross Elementary Analysis
Erscheinungsjahr 2013
ISBN: 978-1-4757-3971-8
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark
The Theory of Calculus
E-Book, Englisch, 264 Seiten, eBook
Reihe: Undergraduate Texts in Mathematics
ISBN: 978-1-4757-3971-8
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark
Designed for students having no previous experience with rigorous proofs, this text on analysis can be used immediately following standard calculus courses. It is highly recommended for anyone planning to study advanced analysis, e.g., complex variables, differential equations, Fourier analysis, numerical analysis, several variable calculus, and statistics. It is also recommended for future secondary school teachers. A limited number of concepts involving the real line and functions on the real line are studied. Many abstract ideas, such as metric spaces and ordered systems, are avoided. The least upper bound property is taken as an axiom and the order properties of the real line are exploited throughout. A thorough treatment of sequences of numbers is used as a basis for studying standard calculus topics. Optional sections invite students to study such topics as metric spaces and Riemann-Stieltjes integrals.
Zielgruppe
Lower undergraduate
Autoren/Hrsg.
Weitere Infos & Material
I Introduction.- II Sequences.- III Continuity.- IV Sequences and Series of Functions.- V Differentiation.- VI Integration.- Appendix on Set Notation.- Selected Hints and Answers.- Symbols Index.
