Mathematical Analysis I
The purpose of the volume is to provide a support for a first course in Mathematics. 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 integra...
| Main Authors: | , |
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| Corporate Author: | |
| Language: | English |
| Published: |
Cham :
Springer International Publishing : Imprint: Springer,
2015.
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| Edition: | 2nd ed. 2015. |
| Series: | La Matematica per il 3+2,
84 |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/978-3-319-12772-9 |
Table of Contents:
- 1 Basic notions
- 2 Functions
- 3 Limits and continuity I
- 4 Limits and continuity II
- 5 Local comparison of functions. Numerical sequences and series
- 6 Differential calculus
- 7 Taylor expansions and applications
- 8 Geometry in the plane and in space
- 9 Integral calculus I
- 10 Integral calculus II
- 11 Ordinary differential equations
- 12 A.1 The Principle of Mathematical Induction
- 13 A.2 Complements on limits and continuity.- 14 A.3 Complements on the global features of continuous maps
- 15 A.4 Complements on differential calculus
- 16 A.5 Complements on integral calculus
- 17 Tables and Formulas.