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Handbook of Mathematics for Engineers and Scientists > Contents > 6. Limits and Derivatives
6. Limits and Derivatives
 6.1. Basic Concepts of Mathematical Analysis
 6.1.1. Number Sets. Functions of Real Variable
 6.1.2. Limit of a Sequence
 6.1.3. Limit of a Function. Asymptotes
 6.1.4. Infinitely Small and Infinitely Large Functions
 6.1.5. Continuous Functions. Discontinuities of the First and the Second Kind
 6.1.6. Convex and Concave Functions
 6.1.7. Functions of Bounded Variation
 6.1.8. Convergence of Functions
 6.2. Differential Calculus for Functions of a Single Variable
 6.2.1. Derivative and Differential, Their Geometrical and Physical Meaning
 6.2.2. Table of Derivatives and Differentiation Rules
 6.2.3. Theorems about Differentiable Functions. L'Hospital Rule
 6.2.4. HigherOrder Derivatives and Differentials. Taylor's Formula
 6.2.5. Extremal Points. Points of Inflection
 6.2.6. Qualitative Analysis of Functions and Construction of Graphs
 6.2.7. Approximate Solution of Equations (RootFinding Algorithms for Continuous Functions)
 6.3. Functions of Several Variables. Partial Derivatives
 6.3.1. Point Sets. Functions. Limits and Continuity
 6.3.2. Differentiation of Functions of Several Variables
 6.3.3. Directional Derivative. Gradient. Geometrical Applications
 6.3.4. Extremal Points of Functions of Several Variables
 6.3.5. Differential Operators of the Field Theory
 References for Chapter 6
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