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Mathematical Books > Handbook of Mathematics for Engineers and Scientists > Contents > 6. Limits and Derivatives

Handbook of Mathematics for Engineers and Scientists

A. D. Polyanin and A. V. Manzhirov,
Handbook of Mathematics for Engineers and Scientists,
Chapman & Hall/CRC Press, 2006

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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. Higher-Order 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 (Root-Finding 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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