Overview
Systematic explanation on how a reader obtains his/her result by mentioning from theory to practical numerical procedure
Numerous colorful figures hand-drawn by the author help readers’ intuitive understanding
Exercises help comprehensive understanding of the readers, and also support their self-learning
Includes supplementary material: sn.pub/extras
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Table of contents (4 chapters)
Keywords
About this book
This book is for all graduate students who are specializing in any environmental issue and who wish to grasp the fundamentals of physics that are required in various fields of science and engineering. The book provides the structural concept of the system state equation and its dynamics, which can be applicable to numerical solutions in several important areas such as heat and mass transfer and fluid dynamics. As a first step, there is a description of how to solve a linear system by conducting an analysis of temperature distribution in an infinite soil as a practical example. This exercise helps readers to fully understand what time and space discretizations are, and how actual numerical solutions should work. Because the concept of the system state equation relies on a vector–matrix form, the book shows how that particular form is applicable to other practical procedures: linear multi regression analysis, the least square method, and others. The book also gives the solution to non-linear dynamical systems and their applications. Although this book may appear to take an unusual approach, the author believes it will be inspiring and greatly helpful for the beginner who seeks a solid understanding of the basis of mathematics and physics for any environmental problems.
Authors and Affiliations
About the author
Professor TANIMOTO, Jun Dr.Eng.
Interdisciplinary Graduate School of Engineering Sciences,
IGSES, Kyushu UniversityÂ
Bibliographic Information
Book Title: Mathematical Analysis of Environmental System
Authors: Jun Tanimoto
DOI: https://doi.org/10.1007/978-4-431-54622-1
Publisher: Springer Tokyo
eBook Packages: Earth and Environmental Science, Earth and Environmental Science (R0)
Copyright Information: Author 2014
Softcover ISBN: 978-4-431-54621-4Published: 23 January 2014
eBook ISBN: 978-4-431-54622-1Published: 07 January 2014
Edition Number: 1
Number of Pages: X, 128
Number of Illustrations: 10 b/w illustrations, 84 illustrations in colour
Topics: Earth System Sciences, Environmental Physics, Renewable and Green Energy