Symmetry Analysis of Differential Equations

An Introduction

von Daniel J. Arrigo

197 Seiten, Hardcover

Kurzbeschreibung des Verlags

This Second Edition presents an accessible approach to the uses of symmetry methods in solving both ordinary differential equations (ODEs) and partial differential equations (PDEs). Providing comprehensive coverage, the book fills a gap in the literature by discussing elementary symmetry concepts and invariance, including methods for reducing the complexity of ODEs and PDEs in an effort to solve the associated problems. The author presents thoroughly class-tested classical methods in a systematic, logical, and well-balanced manner. As the book progresses, the chapters graduate from elementary symmetries and the invariance of algebraic equations, to ODEs and PDEs, followed by coverage of the nonclassical method and compatibility. This new edition features coverage on equations with multiple symmetries (inherited symmetries), contact symmetries, and second order equations vs. equivalent systems.

• Reihe: Synthesis Lectures on Mathematics & Statistics
• Themen: Mathematik und Naturwissenschaften Mathematik Mathematische Analysis, allgemein Differentialrechnung und -gleichungen
• ISBN: 9783032220035
• Sprache: Englisch
• Erscheinungsdatum: 28.10.2026
• Größe: 24 x 16.8 cm
• Verlag: Springer International Publishing