TY - BOOK
AU - Canuto,Claudio
AU - Tabacco,Anita
ED - SpringerLink (Online service)
TI - Mathematical Analysis I
T2 - Universitext,
SN - 9788847008762
AV - QA299.6-433
U1 - 515 23
PY - 2008///
CY - Milano
PB - Springer Milan
KW - Global analysis (Mathematics)
KW - Functional analysis
KW - Integral equations
KW - Integral Transforms
KW - Differential Equations
KW - Differential equations, partial
KW - Analysis
KW - Functional Analysis
KW - Integral Equations
KW - Integral Transforms, Operational Calculus
KW - Ordinary Differential Equations
KW - Partial Differential Equations
N1 - 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
N2 - 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
UR - https://doi.org/10.1007/978-88-470-0876-2
ER -