Introduction to Mathematical Fire Modeling, Second Edition PDF Download
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Author: Marc L. Janssens
Publisher: CRC Press
ISBN: 9781566769204
Category : Technology & Engineering
Languages : en
Pages : 282
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Book Description
Computer simulation proves to be a valuable tool for the analysis and prediction of compartment fires. With the proper understanding and software, fire safety professionals can use modeling tools and methods to find answers to many critical questions relating to the prevention, investigation, and reconstruction of compartment fires. Thoroughly updated and revised, An Introduction to Mathematical Fire Modeling, Second Edition introduces the concepts, software, and techniques of computer-aided mathematical modeling and the software for the analysis and prediction of a variety of compartment fires. Beginning with basic compartment fire theory, the author develops a simple mathematical model that provides an engineering approximation of the time-varying conditions created by fires in an enclosure that may be subject to hot-layer vents. This is the first book focused on the deterministic computer modeling of compartment fires, and the FIRM model presented is the first fire model to be documented, validated, verified, and evaluated according to ASTM guidelines. The text includes detailed information on the use of the QBASIC software provided on an enclosed CD-ROM.
Author: Marc L. Janssens
Publisher: CRC Press
ISBN: 9781566769204
Category : Technology & Engineering
Languages : en
Pages : 282
Get Book Here
Book Description
Computer simulation proves to be a valuable tool for the analysis and prediction of compartment fires. With the proper understanding and software, fire safety professionals can use modeling tools and methods to find answers to many critical questions relating to the prevention, investigation, and reconstruction of compartment fires. Thoroughly updated and revised, An Introduction to Mathematical Fire Modeling, Second Edition introduces the concepts, software, and techniques of computer-aided mathematical modeling and the software for the analysis and prediction of a variety of compartment fires. Beginning with basic compartment fire theory, the author develops a simple mathematical model that provides an engineering approximation of the time-varying conditions created by fires in an enclosure that may be subject to hot-layer vents. This is the first book focused on the deterministic computer modeling of compartment fires, and the FIRM model presented is the first fire model to be documented, validated, verified, and evaluated according to ASTM guidelines. The text includes detailed information on the use of the QBASIC software provided on an enclosed CD-ROM.
Author: David M. Birk
Publisher: CRC Press
ISBN:
Category : Mathematics
Languages : en
Pages : 290
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Book Description
Author: Edward A. Bender
Publisher: Courier Corporation
ISBN: 0486137120
Category : Mathematics
Languages : en
Pages : 273
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Book Description
Employing a practical, "learn by doing" approach, this first-rate text fosters the development of the skills beyond the pure mathematics needed to set up and manipulate mathematical models. The author draws on a diversity of fields — including science, engineering, and operations research — to provide over 100 reality-based examples. Students learn from the examples by applying mathematical methods to formulate, analyze, and criticize models. Extensive documentation, consisting of over 150 references, supplements the models, encouraging further research on models of particular interest. The lively and accessible text requires only minimal scientific background. Designed for senior college or beginning graduate-level students, it assumes only elementary calculus and basic probability theory for the first part, and ordinary differential equations and continuous probability for the second section. All problems require students to study and create models, encouraging their active participation rather than a mechanical approach. Beyond the classroom, this volume will prove interesting and rewarding to anyone concerned with the development of mathematical models or the application of modeling to problem solving in a wide array of applications.
Author:
Publisher:
ISBN: 9789993145325
Category :
Languages : en
Pages :
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Book Description
Author: David M. Birk
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Sandip Banerjee
Publisher: CRC Press
ISBN: 1351022938
Category : Mathematics
Languages : en
Pages : 419
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Book Description
Mathematical Modeling: Models, Analysis and Applications, Second Edition introduces models of both discrete and continuous systems. This book is aimed at newcomers who desires to learn mathematical modeling, especially students taking a first course in the subject. Beginning with the step-by-step guidance of model formulation, this book equips the reader about modeling with difference equations (discrete models), ODE’s, PDE’s, delay and stochastic differential equations (continuous models). This book provides interdisciplinary and integrative overview of mathematical modeling, making it a complete textbook for a wide audience. A unique feature of the book is the breadth of coverage of different examples on mathematical modelling, which include population models, economic models, arms race models, combat models, learning model, alcohol dynamics model, carbon dating, drug distribution models, mechanical oscillation models, epidemic models, tumor models, traffic flow models, crime flow models, spatial models, football team performance model, breathing model, two neuron system model, zombie model and model on love affairs. Common themes such as equilibrium points, stability, phase plane analysis, bifurcations, limit cycles, period doubling and chaos run through several chapters and their interpretations in the context of the model have been highlighted. In chapter 3, a section on estimation of system parameters with real life data for model validation has also been discussed. Features Covers discrete, continuous, spatial, delayed and stochastic models. Over 250 illustrations, 300 examples and exercises with complete solutions. Incorporates MATHEMATICA® and MATLAB®, each chapter contains Mathematica and Matlab codes used to display numerical results (available at CRC website). Separate sections for Projects. Several exercise problems can also be used for projects. Presents real life examples of discrete and continuous scenarios. The book is ideal for an introductory course for undergraduate and graduate students, engineers, applied mathematicians and researchers working in various areas of natural and applied sciences.
Author: J. Tinsley Oden
Publisher: John Wiley & Sons
ISBN: 1118105745
Category : Mathematics
Languages : en
Pages : 348
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Book Description
A modern approach to mathematical modeling, featuring unique applications from the field of mechanics An Introduction to Mathematical Modeling: A Course in Mechanics is designed to survey the mathematical models that form the foundations of modern science and incorporates examples that illustrate how the most successful models arise from basic principles in modern and classical mathematical physics. Written by a world authority on mathematical theory and computational mechanics, the book presents an account of continuum mechanics, electromagnetic field theory, quantum mechanics, and statistical mechanics for readers with varied backgrounds in engineering, computer science, mathematics, and physics. The author streamlines a comprehensive understanding of the topic in three clearly organized sections: Nonlinear Continuum Mechanics introduces kinematics as well as force and stress in deformable bodies; mass and momentum; balance of linear and angular momentum; conservation of energy; and constitutive equations Electromagnetic Field Theory and Quantum Mechanics contains a brief account of electromagnetic wave theory and Maxwell's equations as well as an introductory account of quantum mechanics with related topics including ab initio methods and Spin and Pauli's principles Statistical Mechanics presents an introduction to statistical mechanics of systems in thermodynamic equilibrium as well as continuum mechanics, quantum mechanics, and molecular dynamics Each part of the book concludes with exercise sets that allow readers to test their understanding of the presented material. Key theorems and fundamental equations are highlighted throughout, and an extensive bibliography outlines resources for further study. Extensively class-tested to ensure an accessible presentation, An Introduction to Mathematical Modeling is an excellent book for courses on introductory mathematical modeling and statistical mechanics at the upper-undergraduate and graduate levels. The book also serves as a valuable reference for professionals working in the areas of modeling and simulation, physics, and computational engineering.
Author: Walter J. Meyer
Publisher: Courier Corporation
ISBN: 0486137244
Category : Mathematics
Languages : en
Pages : 450
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Book Description
Appropriate for undergraduate and graduate students, this text features independent sections that illustrate the most important principles of mathematical modeling, a variety of applications, and classic models. Students with a solid background in calculus and some knowledge of probability and matrix theory will find the material entirely accessible. The range of subjects includes topics from the physical, biological, and social sciences, as well as those of operations research. Discussions cover related mathematical tools and the historical eras from which the applications are drawn. Each section is preceded by an abstract and statement of prerequisites, and answers or hints are provided for selected exercises. 1984 edition.
Author: Christopher B. S. Teh
Publisher: Dissertation.com
ISBN: 1581129998
Category : Technology & Engineering
Languages : en
Pages : 278
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Book Description
Learning mathematical modeling need not be difficult. Unlike other books, this book not only lists the equations one-by-one, but explains in detail how they are each derived, used, and finally assembled into a computer program for model simulations. This book shows how mathematics is applied in agriculture, in particular to modeling the growth and yield of a generic crop. Topics covered are agriculture meteorology, solar radiation interception and absorption, evapotranspiration, energy and soil water balance, soil water flow, photosynthesis, respiration, and crop growth development. Rather than covering many modeling approaches but in superficial detail, this book selects one or two widely-used modeling approaches and discusses about them in depth. Principles learned from this book equips readers when they encounter other modeling approaches or when they develop their own crop models.
Author: Kai Velten
Publisher: John Wiley & Sons
ISBN: 3527627618
Category : Science
Languages : en
Pages : 362
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Book Description
This concise and clear introduction to the topic requires only basic knowledge of calculus and linear algebra - all other concepts and ideas are developed in the course of the book. Lucidly written so as to appeal to undergraduates and practitioners alike, it enables readers to set up simple mathematical models on their own and to interpret their results and those of others critically. To achieve this, many examples have been chosen from various fields, such as biology, ecology, economics, medicine, agricultural, chemical, electrical, mechanical and process engineering, which are subsequently discussed in detail. Based on the author`s modeling and simulation experience in science and engineering and as a consultant, the book answers such basic questions as: What is a mathematical model? What types of models do exist? Which model is appropriate for a particular problem? What are simulation, parameter estimation, and validation? The book relies exclusively upon open-source software which is available to everybody free of charge. The entire book software - including 3D CFD and structural mechanics simulation software - can be used based on a free CAELinux-Live-DVD that is available in the Internet (works on most machines and operating systems).