Introduction To Mathematical Fire Modeling Second Edition

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Introduction to Mathematical Fire Modeling, Second Edition

Author : Marc L. Janssens
Publisher : CRC Press
ISBN 13 : 9781566769204
Total Pages : 282 pages
Book Rating : 4.7/5 (692 download)

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Book Synopsis Introduction to Mathematical Fire Modeling, Second Edition by : Marc L. Janssens

Download or read book Introduction to Mathematical Fire Modeling, Second Edition written by Marc L. Janssens and published by CRC Press. This book was released on 2000-07-14 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction to Mathematical Fire Modeling, Second Edition

Author : David M. Birk
Publisher : CRC Press
ISBN 13 :
Total Pages : 290 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Introduction to Mathematical Fire Modeling, Second Edition by : David M. Birk

Download or read book Introduction to Mathematical Fire Modeling, Second Edition written by David M. Birk and published by CRC Press. This book was released on 1991-06-25 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to Mathematical Modeling

Author : Edward A. Bender
Publisher : Courier Corporation
ISBN 13 : 0486137120
Total Pages : 273 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis An Introduction to Mathematical Modeling by : Edward A. Bender

Download or read book An Introduction to Mathematical Modeling written by Edward A. Bender and published by Courier Corporation. This book was released on 2012-05-23 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Modeling

Author : Sandip Banerjee
Publisher : CRC Press
ISBN 13 : 1351022938
Total Pages : 419 pages
Book Rating : 4.3/5 (51 download)

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Book Synopsis Mathematical Modeling by : Sandip Banerjee

Download or read book Mathematical Modeling written by Sandip Banerjee and published by CRC Press. This book was released on 2021-11-11 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Nature of Mathematical Modeling

Author : Neil A. Gershenfeld
Publisher : Cambridge University Press
ISBN 13 : 9780521570954
Total Pages : 268 pages
Book Rating : 4.5/5 (79 download)

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Book Synopsis The Nature of Mathematical Modeling by : Neil A. Gershenfeld

Download or read book The Nature of Mathematical Modeling written by Neil A. Gershenfeld and published by Cambridge University Press. This book was released on 1999 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book about the nature of mathematical modeling, and about the kinds of techniques that are useful for modeling. The text is in four sections. The first covers exact and approximate analytical techniques; the second, numerical methods; the third, model inference based on observations; and the last, the special role of time in modeling. Each of the topics in the book would be the worthy subject of a dedicated text, but only by presenting the material in this way is it possible to make so much material accessible to so many people. Each chapter presents a concise summary of the core results in an area. The text is complemented by extensive worked problems.

Guide to Mathematical Modelling

Author : David A Towers
Publisher : Bloomsbury Publishing
ISBN 13 : 1352011271
Total Pages : 326 pages
Book Rating : 4.3/5 (52 download)

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Book Synopsis Guide to Mathematical Modelling by : David A Towers

Download or read book Guide to Mathematical Modelling written by David A Towers and published by Bloomsbury Publishing. This book was released on 2020-06-06 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: A basic introduction to Mathematical Modelling, this book encourages the reader to participate in the investigation of a wide variety of modelling examples. These are carefully paced so that the readers can identify and develop the skills which are required for successful modelling. The examples also promote an appreciation of the enormous range of problems to which mathematical modelling skills can be usefully applied.

An Introduction to Mathematical Modeling

Author : J. Tinsley Oden
Publisher : John Wiley & Sons
ISBN 13 : 1118105745
Total Pages : 348 pages
Book Rating : 4.1/5 (181 download)

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Book Synopsis An Introduction to Mathematical Modeling by : J. Tinsley Oden

Download or read book An Introduction to Mathematical Modeling written by J. Tinsley Oden and published by John Wiley & Sons. This book was released on 2012-02-23 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Modeling in Systems Biology

Author : Brian P. Ingalls
Publisher : MIT Press
ISBN 13 : 0262545829
Total Pages : 423 pages
Book Rating : 4.2/5 (625 download)

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Book Synopsis Mathematical Modeling in Systems Biology by : Brian P. Ingalls

Download or read book Mathematical Modeling in Systems Biology written by Brian P. Ingalls and published by MIT Press. This book was released on 2022-06-07 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the mathematical concepts and techniques needed for the construction and analysis of models in molecular systems biology. Systems techniques are integral to current research in molecular cell biology, and system-level investigations are often accompanied by mathematical models. These models serve as working hypotheses: they help us to understand and predict the behavior of complex systems. This book offers an introduction to mathematical concepts and techniques needed for the construction and interpretation of models in molecular systems biology. It is accessible to upper-level undergraduate or graduate students in life science or engineering who have some familiarity with calculus, and will be a useful reference for researchers at all levels. The first four chapters cover the basics of mathematical modeling in molecular systems biology. The last four chapters address specific biological domains, treating modeling of metabolic networks, of signal transduction pathways, of gene regulatory networks, and of electrophysiology and neuronal action potentials. Chapters 3–8 end with optional sections that address more specialized modeling topics. Exercises, solvable with pen-and-paper calculations, appear throughout the text to encourage interaction with the mathematical techniques. More involved end-of-chapter problem sets require computational software. Appendixes provide a review of basic concepts of molecular biology, additional mathematical background material, and tutorials for two computational software packages (XPPAUT and MATLAB) that can be used for model simulation and analysis.

Introduction to Mathematical Modeling of Crop Growth

Author : Christopher B. S. Teh
Publisher : Dissertation.com
ISBN 13 : 1581129998
Total Pages : 278 pages
Book Rating : 4.5/5 (811 download)

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Book Synopsis Introduction to Mathematical Modeling of Crop Growth by : Christopher B. S. Teh

Download or read book Introduction to Mathematical Modeling of Crop Growth written by Christopher B. S. Teh and published by Dissertation.com. This book was released on 2006 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Concepts of Mathematical Modeling

Author : Walter J. Meyer
Publisher : Courier Corporation
ISBN 13 : 0486137244
Total Pages : 450 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Concepts of Mathematical Modeling by : Walter J. Meyer

Download or read book Concepts of Mathematical Modeling written by Walter J. Meyer and published by Courier Corporation. This book was released on 2012-10-23 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Understanding Search Engines

Author : Michael W. Berry
Publisher : SIAM
ISBN 13 : 9780898718164
Total Pages : 134 pages
Book Rating : 4.7/5 (181 download)

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Book Synopsis Understanding Search Engines by : Michael W. Berry

Download or read book Understanding Search Engines written by Michael W. Berry and published by SIAM. This book was released on 2005-01-01 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of Understanding Search Engines: Mathematical Modeling and Text Retrieval follows the basic premise of the first edition by discussing many of the key design issues for building search engines and emphasizing the important role that applied mathematics can play in improving information retrieval. The authors discuss important data structures, algorithms, and software as well as user-centered issues such as interfaces, manual indexing, and document preparation. Readers will find that the second edition includes significant changes that bring the text up to date on current information retrieval methods. For example, the authors have added a completely new chapter on link-structure algorithms used in search engines such as Google, and the chapter on user interface has been rewritten to specifically focus on search engine usability. To reflect updates in the literature on information retrieval, the authors have added new recommendations for further reading and expanded the bibliography. In addition, the index has been updated and streamlined to make it more reader friendly.

Mathematical Modeling and Simulation

Author : Kai Velten
Publisher : John Wiley & Sons
ISBN 13 : 3527627618
Total Pages : 362 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Mathematical Modeling and Simulation by : Kai Velten

Download or read book Mathematical Modeling and Simulation written by Kai Velten and published by John Wiley & Sons. This book was released on 2009-06-01 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).

An Introduction to Mathematical Modeling

Author : Edward A. Bender
Publisher : Courier Corporation
ISBN 13 : 9780486411804
Total Pages : 274 pages
Book Rating : 4.4/5 (118 download)

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Book Synopsis An Introduction to Mathematical Modeling by : Edward A. Bender

Download or read book An Introduction to Mathematical Modeling written by Edward A. Bender and published by Courier Corporation. This book was released on 2000-03-06 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accessible text features over 100 reality-based examples pulled from the science, engineering and operations research fields. Prerequisites: ordinary differential equations, continuous probability. Numerous references. Includes 27 black-and-white figures. 1978 edition.

Introduction to Credit Risk Modeling

Author : Christian Bluhm
Publisher : CRC Press
ISBN 13 : 1584889934
Total Pages : 386 pages
Book Rating : 4.5/5 (848 download)

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Book Synopsis Introduction to Credit Risk Modeling by : Christian Bluhm

Download or read book Introduction to Credit Risk Modeling written by Christian Bluhm and published by CRC Press. This book was released on 2016-04-19 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains Nearly 100 Pages of New MaterialThe recent financial crisis has shown that credit risk in particular and finance in general remain important fields for the application of mathematical concepts to real-life situations. While continuing to focus on common mathematical approaches to model credit portfolios, Introduction to Credit Risk Modelin

Mathematical Modeling of Fire

Author : J. R. Mehaffey
Publisher : ASTM International
ISBN 13 : 9780803109926
Total Pages : 148 pages
Book Rating : 4.1/5 (99 download)

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Book Synopsis Mathematical Modeling of Fire by : J. R. Mehaffey

Download or read book Mathematical Modeling of Fire written by J. R. Mehaffey and published by ASTM International. This book was released on 1988 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Models for Society and Biology

Author : Edward Beltrami
Publisher : Academic Press
ISBN 13 : 0124046932
Total Pages : 288 pages
Book Rating : 4.1/5 (24 download)

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Book Synopsis Mathematical Models for Society and Biology by : Edward Beltrami

Download or read book Mathematical Models for Society and Biology written by Edward Beltrami and published by Academic Press. This book was released on 2013-06-19 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Models for Society and Biology, 2e, is a useful resource for researchers, graduate students, and post-docs in the applied mathematics and life science fields. Mathematical modeling is one of the major subfields of mathematical biology. A mathematical model may be used to help explain a system, to study the effects of different components, and to make predictions about behavior. Mathematical Models for Society and Biology, 2e, draws on current issues to engagingly relate how to use mathematics to gain insight into problems in biology and contemporary society. For this new edition, author Edward Beltrami uses mathematical models that are simple, transparent, and verifiable. Also new to this edition is an introduction to mathematical notions that every quantitative scientist in the biological and social sciences should know. Additionally, each chapter now includes a detailed discussion on how to formulate a reasonable model to gain insight into the specific question that has been introduced. Offers 40% more content – 5 new chapters in addition to revisions to existing chapters Accessible for quick self study as well as a resource for courses in molecular biology, biochemistry, embryology and cell biology, medicine, ecology and evolution, bio-mathematics, and applied math in general Features expanded appendices with an extensive list of references, solutions to selected exercises in the book, and further discussion of various mathematical methods introduced in the book

A Course in Mathematical Modeling

Author : Douglas D. Mooney
Publisher : American Mathematical Society
ISBN 13 : 1470466163
Total Pages : 431 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis A Course in Mathematical Modeling by : Douglas D. Mooney

Download or read book A Course in Mathematical Modeling written by Douglas D. Mooney and published by American Mathematical Society. This book was released on 2021-11-15 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: The emphasis of this book lies in the teaching of mathematical modeling rather than simply presenting models. To this end the book starts with the simple discrete exponential growth model as a building block, and successively refines it. This involves adding variable growth rates, multiple variables, fitting growth rates to data, including random elements, testing exactness of fit, using computer simulations and moving to a continuous setting. No advanced knowledge is assumed of the reader, making this book suitable for elementary modeling courses. The book can also be used to supplement courses in linear algebra, differential equations, probability theory and statistics.