Differential Equations with Applications

1. Auflage 2026
ISBN: 978-1-041-42787-2
Verlag: Taylor & Francis Ltd

Buch, Englisch, 296 Seiten, Format (B × H): 152 mm x 229 mm

This book provides an in-depth exploration of ordinary and partial differential equations, their formation, solutions, and applications. Covering topics such as Euler-Cauchy equations, Bessel functions, Legendre polynomials, and Fourier series, the book is designed for advanced academic and professional audiences. It includes detailed methodologies, theorems, and practical examples to support learning and research in mathematics, and:

- Explores ordinary and partial differential equations in depth.

- Provides detailed methodologies and theorems for advanced study.

- Covers specialized topics like Bessel functions and Legendre polynomials.

- Includes practical applications in heat and wave equations.

- Bridges theoretical concepts with real-world mathematical modeling.

This title has been co-published with Manakin Press. T&F does not sell or distribute the print editions in Bangladesh, Bhutan, India, Nepal, Pakistan, and Sri lanka.

Zielgruppe

Academic, Postgraduate, and Undergraduate Advanced

Autoren/Hrsg.

Dube, Rakesh

Nimisha

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Zahlentheorie
• Mathematik | Informatik Mathematik Mathematik Allgemein
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Sozialwissenschaften Pädagogik Lehrerausbildung, Unterricht & Didaktik Allgemeine Didaktik Naturwissenschaften, Mathematik (Unterricht & Didaktik)
• Mathematik | Informatik Mathematik Mathematische Analysis Vektoranalysis, Physikalische Felder
• Mathematik | Informatik Mathematik Topologie
• Mathematik | Informatik Mathematik Geometrie Elementare Geometrie: Allgemeines
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Mathematik | Informatik Mathematik Stochastik Stochastische Prozesse

Inhaltsverzeichnis

- Differential Equations and Their Formation

- Ordinary Differential Equations of First Order

- Linear Differential Equations With Constant Coefficients

- Euler-Cauchy’s Differential Equations

- Ordinary Simultaneous Differential Equations

- Linear Differential Equation of Second Order

- Solution in Series

- Bessel’s Equation and Bessel’s Functions

- Legendre’s Equation and Legendre’s Polynomials

- Introduction to Partial Differential Equations

- Linear Partial Differential Equations With Constant Coefficients

- Classification of Linear Partial Differential Equations of Second Order

- Applications of Partial Differential Equation

Über Autor(innen)

Rakesh Dube is Professor in the Department of Mathematics at AKG Engineering College
Ghaziabad, India. He specializes in advanced mathematical research and education, contributing significantly to the academic community through his teaching and scholarly work.

Nimisha serves as Associate professor in the Department of Applied Sciences & Humanities at ABES Engineering College, Ghaziabad, Uttar Pradesh, India. Her expertise lies in interdisciplinary research and education, fostering innovation and academic excellence in applied sciences and humanities.