Mathematical Analysis I
Canuto, Claudio.
creator
author.
aut
http://id.loc.gov/vocabulary/relators/aut
Tabacco, Anita.
author.
aut
http://id.loc.gov/vocabulary/relators/aut
SpringerLink (Online service)
text
it
2008
monographic
eng
access
XII, 433 p. online resource.
The purpose of the volume is to provide a support for a first course in Mathematical Analysis, along the lines of the recent Programme Specifications for mathematical teaching in European universities. The contents are organised to appeal especially to Engineering, Physics and Computer Science students, all areas in which mathematical tools play a crucial role. Basic notions and methods of differential and integral calculus for functions of one real variable are presented in a manner that elicits critical reading and prompts a hands-on approach to concrete applications. The layout has a specifically-designed modular nature, allowing the instructor to make flexible didactical choices when planning an introductory lecture course. The book may in fact be employed at three levels of depth. At the elementary level the student is supposed to grasp the very essential ideas and familiarise with the corresponding key techniques. Proofs to the main results befit the intermediate level, together with several remarks and complementary notes enhancing the treatise. The last, and farthest-reaching, level consists of links to online material, which enable the strongly motivated reader to explore further into the subject. Definitions and properties are furnished with substantial examples to stimulate the learning process. Over 350 solved exercises complete the text, at least half of which guide the reader to the solution.
Basic notions -- Functions -- Limits and continuity I -- Limits and continuity II -- Local comparison of functions. Numerical sequences and series -- Differential calculus -- Taylor expansions and applications -- Geometry in the plane and in space -- Integral calculus I -- Integral calculus II -- Ordinary differential equations.
by Claudio Canuto, Anita Tabacco.
Global analysis (Mathematics)
Functional analysis
Integral equations
Integral Transforms
Differential Equations
Differential equations, partial
Analysis
Functional Analysis
Integral Equations
Integral Transforms, Operational Calculus
Ordinary Differential Equations
Partial Differential Equations
QA299.6-433
515
Springer eBooks
Universitext
9788847008762
https://doi.org/10.1007/978-88-470-0876-2
https://doi.org/10.1007/978-88-470-0876-2
ISI Library, Kolkata
100301
20181204133008.0
978-88-470-0876-2