Calculus Problems

• Main Authors: Baronti, Marco (Author), De Mari, Filippo (Author), van der Putten, Robertus (Author), Venturi, Irene (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Series: UNITEXT, 101
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Calculus of variations.; Analysis.; Calculus of Variations and Optimal Control; Optimization.

This book, intended as a practical working guide for students in Engineering, Mathematics, Physics, or any other field where rigorous calculus is needed, includes 450 exercises. Each chapter starts with a summary of the main definitions and results, which is followed by a selection of solved exercis...

Table of Contents:

• 1 Manipulation of Graphs
• 2 Invertible Mappings
• 3 Sequences
• 4 Maxima, minima, least upper bound, greatest lower bound
• 5 Limits of functions
• 6 Continuous Functions
• 7 Differentiable Functions
• 8 Taylor Expansions
• 9 Geometry of functions: extrema and convexity
• 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 Differential Equations.