Introduction to Inverse Problems for Differential Equations is popular PDF and ePub book, written by Alemdar Hasanov Hasanoğlu in 2021-08-02, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Introduction to Inverse Problems for Differential Equations can be Read Online from any device for your convenience.
Introduction to Inverse Problems for Differential Equations Book PDF Summary
This book presents a systematic exposition of the main ideas and methods in treating inverse problems for PDEs arising in basic mathematical models, though it makes no claim to being exhaustive. Mathematical models of most physical phenomena are governed by initial and boundary value problems for PDEs, and inverse problems governed by these equations arise naturally in nearly all branches of science and engineering. The book’s content, especially in the Introduction and Part I, is self-contained and is intended to also be accessible for beginning graduate students, whose mathematical background includes only basic courses in advanced calculus, PDEs and functional analysis. Further, the book can be used as the backbone for a lecture course on inverse and ill-posed problems for partial differential equations. In turn, the second part of the book consists of six nearly-independent chapters. The choice of these chapters was motivated by the fact that the inverse coefficient and source problems considered here are based on the basic and commonly used mathematical models governed by PDEs. These chapters describe not only these inverse problems, but also main inversion methods and techniques. Since the most distinctive features of any inverse problems related to PDEs are hidden in the properties of the corresponding solutions to direct problems, special attention is paid to the investigation of these properties. For the second edition, the authors have added two new chapters focusing on real-world applications of inverse problems arising in wave and vibration phenomena. They have also revised the whole text of the first edition.
Detail Book of Introduction to Inverse Problems for Differential Equations PDF
- Author : Alemdar Hasanov Hasanoğlu
- Release : 02 August 2021
- Publisher : Springer Nature
- ISBN : 9783030794279
- Genre : Mathematics
- Total Page : 521 pages
- Language : English
- PDF File Size : 14,8 Mb
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