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About this book :-
Calculus Problems written by
Marco Baronti, Filippo Mari .
This text provide a practical working tool for students in Engineering, Mathematics, and Physics, or in any other field where rigorous Calculus is needed. The emphasis is thus on problems that enhance students’ skill in solving standard exercises with a careful attitude, encouraging them to devote an attentive eye to what may or may not be done in manipulating formulae or deriving correct conclusions, while maintaining, whenever possible, a fresh approach, that is, seeking guiding ideas.
The book ends with a chapter of problems that are not designed with a single issue in mind but rather require a variety of techniques, and should perhaps be addressed as a final check on the global preparation.
Book Detail :-
Title: Calculus Problems
Edition:
Author(s): Marco Baronti, Filippo De Mari, Robertus van der Putten, Irene Venturi
Publisher: Springer
Series: Quickstudy Reference Guides – Academic
Year: 2016
Pages: 368
Type: PDF
Language: English
ISBN: 978-3-319-15428-2
Country: US
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About Author :-
The author Marco Baronti was born in Genova in 1956. Since 1990, he is associate professor in Mathematical Analysis at the University of Genova. His scientific interests are mainly in Functional Analysis and in particular in Geometry of Banach Spaces.
The author Filippo De Mari was born in Genova in 1959. In 1987 he received his Ph.D. from Washington University in St. Louis, USA. Since 1998, he is associate professor in Mathematical Analysis at the University of Genova. His scientific interests are mainly in Harmonic Analysis, Representation Theory and Lie Groups.
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Book Contents :-
Calculus Problems written by
Marco Baronti, Filippo Mari
cover the following topics.
1. Manipulation of Graphs
2. Invertible Mappings
3. Maximum, Minimum, Supremum, Infimum
4. Sequences
5. Limits of Functions
6. Continuous Functions
7. Differentiable Functions
8. Taylor Expansions
9. The Geometry of Functions
10. Indefinite and Definite Integrals
11. Improper Integrals and Integral Functions
12. Numerical Series
13. Separation of Variables
14. First Order Linear Differential Equations
15. Constant Coefficient Linear Differential Equations
16. Miscellaneous
Appendix A: Basic Facts and Notation
Appendix B: Calculus
Solutions
Further Reading
Index
Note:-
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