Handbook of exact solutions to mathematical equations

• Verfasst von: Poljanin, Andrej D. [VerfasserIn]
• Titel: Handbook of exact solutions to mathematical equations
• Verf.angabe: Andrei D. Polyanin
• Ausgabe: First edition
• Verlagsort: Boca Raton ; London ; New York
• Verlag: CRC Press
• Jahr: 2025
• Umfang: 1 Online-Ressource (xviii, 641 Seiten)
• Illustrationen: Illustrationen
• Gesamttitel/Reihe: Advances in applied mathematics
• Fussnoten: Description based on publisher supplied metadata and other sources
• ISBN: 978-1-04-009293-4
• ISBN: 978-1-003-05132-9
• Schlagwörter: (s)Exakte Lösung / (s)Algebraische Gleichung / (s)Differentialgleichung / (s)Integralgleichung / (s)Funktionalgleichung
• Datenträger: Online-Ressource
• Sprache: eng
• Bibliogr. Hinweis: Erscheint auch als : Druck-Ausgabe: Poljanin, Andrej D., 1951 - : Handbook of exact solutions to mathematical equations. - First edition. - Boca Raton : CRC Press, 2025. - xviii, 641 Seiten
• RVK-Notation: SK 920
• K10plus-PPN: 1898292450
• K10plus-PPN:
  Universitätsbibliothek
• Lokale URL UB: Zum Volltext

Abstract

This Handbook is a unique reference for scientists and engineers, containing over 3,800 nonlinear partial differential equations withsolutions.

Abstract

Cover -- Half Title -- Series Page -- Title Page -- Copyright Page -- Contents -- Preface -- Author -- Notations and Remarks -- 1. Algebraic and Transcendental Equations -- 1.1. Algebraic Equations -- 1.1.1. Linear and Quadratic Equations -- 1.1.2. Cubic Equations -- 1.1.3. Equations of the Fourth Degree -- 1.1.4. Equations of the Fifth Degree -- 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 -- 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 y′′xx = f(x, y) -- 2.3.2. Equations of the Form f(x, y)y′′xx = g(x, y, y′x ) -- 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- and Fourth-Order Nonlinear Ordinary Differential Equations.