Mathematical analysis of environmental system

Research output: Book/ReportBook

8 Citations (Scopus)

Abstract

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.

Original languageEnglish
PublisherSpringer Japan
Number of pages128
Volume9784431546221
ISBN (Electronic)9784431546221
ISBN (Print)4431546219, 9784431546214
DOIs
Publication statusPublished - Oct 1 2014

Fingerprint

mathematical analysis
environmental assessment
physics
Systems Analysis
mass transfer
heat transfer
space and time
Physics
least squares
engineering
students
fluid mechanics
exercise
regression analysis
Mathematics
fluid dynamics
least squares method
soil
Hydrodynamics
mathematics

All Science Journal Classification (ASJC) codes

  • Earth and Planetary Sciences(all)
  • Agricultural and Biological Sciences(all)
  • Environmental Science(all)

Cite this

Mathematical analysis of environmental system. / Tanimoto, Jun.

Springer Japan, 2014. 128 p.

Research output: Book/ReportBook

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