Mathematical Analysis Volume 1
Description
This English version of the clear, rigorous and complete Italian textbook of Mathematical Analysis reflects a two-decade teaching practice.
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Persons
Claudio Canuto is a full professor of Numerical Analysis at the Department of Mathematical Sciences "G.L. Lagrange", Politecnico di Torino. He was visiting professor in France, Germany, Switzerland, and the US. His scientific interests mostly focus on the numerical treatment of partial differential equations.
Anita Tabacco received her PhD in the United States and is a full professor of Mathematical Analysis at the Department of Mathematical Sciences "G.L. Lagrange", Politecnico di Torino. Her main scientific interests concern topics in Harmonic and Functional Analysis.
Claudio Canuto and Anita Tabacco have taught several lecture courses on Mathematical Analysis and Calculus, besides many other classes. They have authored highly regarded textbooks both in Italian and English.
Content
- Basic notions
- Functions
- Vector and complex numbers
- Limits and continuity
- Properties and computation of limits
- Local comparison of functions
- Global properties of continuous maps
- Differential calculus
- Taylor expansions and applications
- Integral calculus
- Improper integral and numerical series
- Curves and integrals along curves
- Ordinary differential equations
- Applications from the real world
