Calculus Illustrated. Volume 1-5 (5 book series)

English | 2020 | ISBN: 978-1677752522 | 2464 Pages | PDF | 339 MB

Calculus Illustrated. Volume 1: Precalculus

• Calculus of sequences
• Sets and functions
• Compositions of functions
• Classes of functions
• Algebra and geometry

Calculus Illustrated. Volume 2: Differential Calculus

• Limits of sequences
• Limits and continuity
• The derivative
• Differentiation
• The main theorems of differential calculus
• What we can do with calculus

Calculus Illustrated. Volume 3: Integral Calculus

• The Riemann integral
• Integration
• What we can so with integral calculus
• Several variables
• Series

Calculus Illustrated. Volume 4: Calculus in Higher Dimensions

• Functions in multidimensional spaces
• Parametric curves
• Functions of several variables
• The gradient
• The integral
• Vector fields

Calculus Illustrated. Volume 5: Differential Equations

• Ordinary differential equations
• Vector variables
• Vector and complex variables
• Systems of ODEs
• Applications of ODEs
• Partial differential equations