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  • Produktbild: Handbook of Exact Solutions to Mathematical Equations
  • Produktbild: Handbook of Exact Solutions to Mathematical Equations

Handbook of Exact Solutions to Mathematical Equations

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Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

26.08.2024

Verlag

Taylor & Francis

Seitenzahl

660

Maße (L/B/H)

26/18,3/4 cm

Gewicht

1355 g

Sprache

Englisch

ISBN

978-0-367-50799-2

Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

26.08.2024

Verlag

Taylor & Francis

Seitenzahl

660

Maße (L/B/H)

26/18,3/4 cm

Gewicht

1355 g

Sprache

Englisch

ISBN

978-0-367-50799-2

Herstelleradresse

Libri GmbH
Europaallee 1
36244 Bad Hersfeld
DE

Email: gpsr@libri.de

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  • Produktbild: Handbook of Exact Solutions to Mathematical Equations
  • Produktbild: Handbook of Exact Solutions to Mathematical Equations
  • 1 Algebraic and Transcendental Equations

    1.1. Algebraic Equations

    1.1.1. LinearandQuadraticEquations

    1.1.2. Cubic Equations

    1.1.3. EquationsoftheFourthDegree

    1.1.4. EquationsoftheFifthDegree

    1.1.5. Algebraic Equations of Arbitrary Degree

    1.1.6. Systems of Linear Algebraic Equations

    1.2. Trigonometric Equations

    1.2.1. Binomial Trigonometric Equations

    1.2.2. Trigonometric Equations Containing Several Terms

    1.2.3. Trigonometric Equations of the General Form

    1.3. Other Transcendental Equations

    1.3.1. Equations Containing Exponential Functions

    1.3.2. Equations Containing Hyperbolic Functions

    1.3.3. Equations Containing Logarithmic Functions

    References for Chapter 1

    2 Ordinary Differential Equations

    2.1. First-Order Ordinary Differential Equations

    2.1.1. Simplest First-Order ODEs

    2.1.2. Riccati Equations

    2.1.3. Abel Equations

    2.1.4. Other First-Order ODEs Solved for the Derivative

    2.1.5. ODEs Not Solved for the Derivative and ODEs Defined Parametrically

    2.2. Second-Order Linear Ordinary Differential Equations

    2.2.1. Preliminary Remarks and Some Formulas

    2.2.2. Equations Involving Power Functions

    2.2.3. Equations Involving Exponential and Other Elementary Functions

    2.2.4. Equations Involving Arbitrary Functions

    2.3. Second-Order Nonlinear Ordinary Differential Equations

    2.3.1. Equations of the Form yx''x = f (x, y)

    2.3.2. Equations of the Form f (x, y)yx''x = g(x, y, yx' )

    2.3.3. ODEs of General Form Containing Arbitrary Functions of Two Arguments

    2.4. Higher-Order Ordinary Differential Equations

    2.4.1. Higher-Order Linear Ordinary Differential Equations

    2.4.2. Third-andFourth-OrderNonlinearOrdinaryDifferentialEquations

    2.4.3. Higher-Order Nonlinear Ordinary Differential Equations

    References for Chapter 2

    3 Systems of Ordinary Differential Equations

    3.1. Linear Systems of ODEs

    3.1.1. Systems of Two First-Order ODEs

    3.1.2. Systems of Two Second-Order ODEs

    3.1.3. Other Systems of Two ODEs

    3.1.4. Systems of Three and More ODEs

    3.2. Nonlinear Systems of Two ODEs

    3.2.1. Systems of First-Order ODEs

    3.2.2. Systems of Second- and Third-Order ODEs

    3.3. Nonlinear Systems of Three or More ODEs

    3.3.1. Systems of Three ODEs

    3.3.2. Equations of Dynamics of a Rigid Body with a Fixed Point

    References for Chapter 3

    4 First-Order Partial Differential Equations

    4.1. Linear Partial Differential Equations in Two Independent Variables

    4.1.1. Preliminary Remarks. Solution Methods

    4.1.2. Equations of the Form f (x, y)ux + g(x, y)uy = 0

    4.1.3. Equations of the Form <