An introduction to capstone in applied analysis : a fundamental guide for students and instructors / Narayan Thapa.

Format:

Book

Author/Creator:

Thapa, Narayan, author.

Series:

Mathematics research developments series.

Mathematics research developments series

Language:

English

Subjects (All):

Inverse problems (Differential equations)--Textbooks.

Inverse problems (Differential equations).

Physical Description:

1 online resource (xiv, 175 pages) : illustrations.

Place of Publication:

New York : Nova Science Publishers, [2020]

Summary:

"Inverse problems are one of the oldest, most important mathematical problems in science and engineering. However, the field of inverse problems has undergone rapid development in the last two decades due to the massive increase in computing power and the development of powerful numerical techniques such as finite difference method, finite element method, finite volume method and spectral method. Because of their applications in medical imaging, underground prospecting, nondestructive testing, astronomical imaging, image processing, remote sensing, and data mining, the Business, Industry and Government (BIG) sectors are very interested in applied inverse problems. Despite its great importance and demand, there is no project oriented applied and computational inverse problem book that can be adapted as a text for senior undergraduates as their capstone experience and pathway to research in applied analysis. The goal of this book is to fill this gap and provide opportunity to students, professors and researchers in biosciences, applied sciences, applied-computational mathematics, engineering, mathematical programming, mathematical economics, mathematical biology and optimization via applied and computational inverse problem projects. This book is sequenced as three major parts. The part of the book that includes chapters 1, 2 and 3 highlights major concepts including results in applied analysis. The second part of the book that includes chapters 4 and 5 displays the key numerical methods and programming in MATLAB. The final part of the book that includes chapters 6, 7, 8, 9, 10, 11 and 12 showcases several inverse-problem-related projects done with students"-- Provided by publisher.

Contents:

Vector spaces

Normed linear spaces

Hilbert spaces

Numerical methods

Programming with MATLAB

Inverse problem in finance

Inverse problem in physics 1

Inverse problem in physics 2

Inverse problem in medicine 1

Inverse problem in physics 3

Inverse Problem in PDE

Inverse problem in medicine 2.

Notes:

Description based on print version record.

Includes bibliographical references and index.

ISBN:

1-5361-7459-9