R Michael Range (Usa State Univ Of New York At Albany)

What is Calculus?

From Simple Algebra to Deep Analysis

• Gebundenes Buch

Produktbeschreibung

This unique book provides a new and well-motivated introduction to calculus and analysis that are historically significant fundamental areas of mathematics and widely used in many disciplines.

Produktdetails

• Verlag: World Scientific Publishing Co Pte Ltd
• Seitenzahl: 374
• Erscheinungstermin: 20. August 2015
• Englisch
• Abmessung: 235mm x 157mm x 25mm
• Gewicht: 674g
• ISBN-13: 9789814644471
• ISBN-10: 9814644471
• Artikelnr.: 42040494

Inhaltsangabe

Contents: Tangents and Double Points
Derivatives by Algebra
Exponential Functions
Completeness of Real Numbers
The Base of the Natural Exponential and Logarithm Functions
Continuity of Functions
Differentiability
Chain Rule and Other Rules for Derivatives
Derivatives of Trigonometric Functions
Mean Value Inequality and Theorem
Basic Differential Equations
Motion with Constant Acceleration
Linear and Higher Order Approximations
The Antiderivative Problem
Definite Integrals
Fundamental Theorem of Calculus
Integrability of Monotonic Functions
Integrability of Functions with Bounded Derivative
Substitution
Integration by Parts
Taylor's Theorem
Analytic Functions
The Euler Identity