Opening book details…
Can I read Elementary Analysis: The Theory of Calculus (Undergraduate Texts in Mathematics) on EtoBox?
Elementary Analysis: The Theory of Calculus (Undergraduate Texts in Mathematics) by López, Jorge M.;Ross, Kenneth A is a mathematics available to read on EtoBox.
What is Elementary Analysis: The Theory of Calculus (Undergraduate Texts in Mathematics) about?
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.
Who reads Elementary Analysis: The Theory of Calculus (Undergraduate Texts in Mathematics)?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- López, Jorge M.;Ross, Kenneth A
- Publisher
- Springer New York; Imprint: Springer
- Published
- 2015
- Language
- EN
- ISBN
- 9781461462705
- Category
- mathematics
- Subjects
- Mathematics, Stem
- Rating
- 4.5 / 5 (155 ratings)
- Updated
- 2026-03-14
Other editions & translations
- Elementary Analysis: The Theory of Calculus (Undergraduate Texts in Mathematics) (2013)
- Elementary Analysis || (2013)
- Elementary AnalysisElementary Analysis_ The Theory of Calculu (2013)
- Elementary Analysis : The Theory of Calculus (1980)
- Elementary Analysis: The Theory of Calculus (Undergraduate Texts in Mathematics) (1980)
More by López, Jorge M.;Ross, Kenneth A
Browse all works by López, Jorge M.;Ross, Kenneth A
Similar books
- Real Analysis and Applications: Theory in Practice (Undergraduate Texts in Mathematics) — Davidson, Kenneth R., Donsig, Allan P. (2009)
- Introduction to Calculus and Classical Analysis || — Omar Hijab (auth.) (2011)
- Undergraduate Analysis (Undergraduate Texts in Mathematics) — Mathematiker Serge Lang (2013)
- Aspects of Calculus (Undergraduate Texts in Mathematics) — Gabriel Klambauer (2012)
- A Course in Calculus and Real Analysis (Undergraduate Texts in Mathematics) — Sudhir R. Ghorpade, Balmohan V. Limaye, (2006)
- Inside Calculus (Undergraduate Texts in Mathematics) — George R. Exner (2000)