This textbook is designed to back beginners' classes in Mathematics in all curricula of scientific nature where mathematical tools are a significant part of the education. It reflects a two-decade teaching practice during which it was employed with major returns. The criterion adopted is to present the subject matter in a clear and immediately applicable way, without renouncing the exposition's rigour or reducing to a mere collection of recipes and formulas. The fundamental concepts and techniques regarding limits, continuity, differential and integral calculus for functions of one real variable are presented with the primary intention to train students to use them effectually and at the same time critically.
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Autore
Canuto Claudio;Tabacco Anita
Editore
Pearson
Anno
2022
Tipologia
Libro
Collana
Matematica
Lingua
Inglese
Indice
1. Basic notions 2. Functions 3. Vector and complex numbers 4. Limits and continuity 5. Properties and computation of limits 6. Local comparison of functions 7. Global properties of continuous maps 8. Differential calculus 9. Taylor expansions and applications 10. Integral calculus 11. Improper integral and numerical series 12. Curves and integrals along curves 13. Ordinary differential equations 14. Applications from the real world