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Handbook of Mathematics for Engineers and Scientists > Contents > 8. Series
8. Series
 8.1. Numerical Series and Infinite Products
 8.1.1. Convergent Numerical Series and Their Properties. Cauchy's Criterion
 8.1.2. Convergence Criteria for Series with Positive (Nonnegative) Terms
 8.1.3. Convergence Criteria for Arbitrary Numerical Series. Absolute and Conditional Convergence
 8.1.4. Multiplication of Series. Some Inequalities
 8.1.5. Summation Methods. Convergence Acceleration
 8.1.6. Infinite Products
 8.2. Functional Series
 8.2.1. Pointwise and Uniform Convergence of Functional Series
 8.2.2. Basic Criteria of Uniform Convergence. Properties of Uniformly Convergent Series
 8.3. Power Series
 8.3.1. Radius of Convergence of Power Series. Properties of Power Series
 8.3.2. Taylor and Maclaurin Power Series
 8.3.3. Operations with Power Series. Summation Formulas for Power Series
 8.4. Fourier Series
 8.4.1. Representation of 2πPeriodic Functions by Fourier Series. Main Results
 8.4.2. Fourier Expansions of Periodic, Nonperiodic, Odd, and Even Functions
 8.4.3. Criteria of Uniform and MeanSquare Convergence of Fourier Series
 8.4.4. Summation Formulas for Trigonometric Series
 8.5. Asymptotic Series
 8.5.1. Asymptotic Series of Poincare Type. Formulas for the Coefficients
 8.5.2. Operations with Asymptotic Series
 References for Chapter 8
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