Survey of Applicable Mathematics

Table of Contents

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   Book Overview
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   Chapter 1 Arithmetic and Algebra
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   Chapter 2 Trigonometric and Inverse Trigonometric Functions. Hyperbolic and Inverse Hyperbolic Functions
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   Chapter 3 Some Formulae (Areas Circumferences, Volumes, Surfaces, Centroids, Moments of Inertia)
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   Chapter 4 Plane Curves and Constructions
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   Chapter 5 Plane Analytic Geometry
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   Chapter 6 Solid Analytic Geometry
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   Chapter 7 Vector Calculus
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   Chapter 8 Tensor Calculus
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    Chapter 9 Differential Geometry
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    Chapter 10 Sequences and Series of Constant Terms. Infinite Products
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    Chapter 11 Differential Calculus of Functions of a Real Variable
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    Chapter 12 Functions of Two or More Variables
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    Chapter 13 Integral Calculus of Functions of One Variable
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    Chapter 14 Integral Calculus of Functions of Two and More Variables
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    Chapter 15 Sequences and Series with Variable Terms (Sequences and Series of Functions)
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    Chapter 16 The Space L 2 . Orthogonal Systems, Fourier Series. Special Functions (Bessel Functions, Etc.)
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    Chapter 17 Ordinary Differential Equations
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    Chapter 18 Partial Differential Equations
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    Chapter 19 Integral Equations
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    Chapter 20 Functions of One and More Complex Variables
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    Chapter 21 Conformal Mapping
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    Chapter 22 Fundamentals of the Theory of Sets and Functional Analysis
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    Chapter 23 Calculus of Variations
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    Chapter 24 Variational Methods for Numerical Solution of Boundary-Value Problems for Differential Equations. Finite Element Method. Boundary Element Method
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    Chapter 25 Approximate Solution of Ordinary Differential Equations
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    Chapter 26 Solution of Partial Differential Equations by Infinite Series (By the Fourier Method)
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    Chapter 27 Solution of Partial Differential Equations by the Finite-Difference Method
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    Chapter 28 Integral Transforms (Operational Calculus)
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    Chapter 29 Approximate Solution of Fredholm’s Integral Equations
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    Chapter 30 Numerical Methods in Linear Algebra
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    Chapter 31 Numerical Solution of Algebraic and Transcendental Equations
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    Chapter 32 Approximation. Interpolation, Splines
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    Chapter 33 Probability Theory
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    Chapter 34 Mathematical Statistics
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    Chapter 35 Topics in Statistical Inference
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    Chapter 36 Stochastic Processes
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    Chapter 37 Linear Programming