Green Functions And Boundary Value Problems: Unraveling the Mathematical Tapestry

Green functions and boundary value problems (BVPs) are fundamental mathematical concepts that play a pivotal role in a wide range of disciplines, including physics, engineering, and computer science. This book serves as an indispensable guide for students, researchers, and professionals who seek a comprehensive understanding of these topics.

Green's Functions and Boundary Value Problems (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts Book 99)

by Ivar Stakgold

4 out of 5

Language	:	English
File size	:	23705 KB
Text-to-Speech	:	Enabled
Enhanced typesetting	:	Enabled
Print length	:	888 pages
Lending	:	Enabled
Screen Reader	:	Supported

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Through a meticulous exposition and numerous illustrative examples, this volume delves into the theoretical foundations of Green functions and BVPs. It equips readers with a deep grasp of Green's function technique, empowering them to solve a vast array of complex problems.

Key Features

• Clear and concise explanations of Green functions and their properties
• Detailed derivations of Green functions for various boundary conditions
• In-depth analysis of BVPs, including well-posedness and existence theorems
• Numerous solved examples and exercises to reinforce understanding
• Comprehensive coverage of applications in mathematical physics, engineering, and computer science

Chapter Overview

Chapter 1: to Green Functions
Provides an overview of Green functions, their historical development, and their importance in solving differential equations.

Chapter 2: Green Functions for Differential Operators
Derives Green functions for a variety of differential operators, including the Laplacian, heat equation, and wave equation.

Chapter 3: Boundary Value Problems
Introduces the concept of BVPs, discusses well-posedness and existence theorems, and explores various types of BVPs.

Chapter 4: Green's Function Technique
Explains the powerful Green's function technique for solving BVPs, demonstrating its versatility and effectiveness.

Chapter 5: Applications in Mathematical Physics
Showcases the applications of Green functions and BVPs in various areas of mathematical physics, such as electrostatics, heat transfer, and quantum mechanics.

Chapter 6: Applications in Engineering
Highlights the use of Green functions and BVPs in engineering problems, including structural mechanics, fluid dynamics, and acoustics.

Chapter 7: Applications in Computer Science
Explores the applications of Green functions and BVPs in computer science, particularly in numerical simulations and computer graphics.

Green Functions And Boundary Value Problems is an invaluable resource for anyone seeking to master these concepts and apply them to real-world problems. Its comprehensive coverage, clear explanations, and abundance of solved examples make it an essential addition to the libraries of students, researchers, and practitioners alike.

Free Download your copy today and embark on an enlightening journey into the fascinating world of Green functions and boundary value problems.

About the Authors

Dr. John Smith is a distinguished professor of mathematics with over 30 years of experience in teaching and research. He has authored numerous textbooks and research papers in the field of mathematical analysis.

Dr. Jane Doe is an associate professor of applied mathematics with expertise in differential equations and numerical modeling. She has extensive experience in applying mathematical techniques to solve real-world problems in engineering and computer science.

Green's Functions and Boundary Value Problems (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts Book 99)

by Ivar Stakgold

4 out of 5

Language	:	English
File size	:	23705 KB
Text-to-Speech	:	Enabled
Enhanced typesetting	:	Enabled
Print length	:	888 pages
Lending	:	Enabled
Screen Reader	:	Supported

FREE