Guide to Mathematical Modelling

Author: Dilwyn Edwards,Mike Hamson
Publisher: Macmillan International Higher Education
ISBN: 1349100420
Category: Applied mathematics
Page: 277
View: 4120

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The authors' enthusiasm for their subject is eloquently conveyed in this book, and draws the reader very quickly into active investigation of the problems posed. By providing plenty of modelling examples from a wide variety of fields - most of which are familiar from everyday life - the book shows how to apply mathematical ideas to situations which would not previously have been considered to be 'mathematical' in character.

Mathematical Modelling

A Way of Life - ICTMA 11
Author: S J Lamon,W A Parker,S K Houston
Publisher: Elsevier
ISBN: 085709954X
Category: Mathematics
Page: 288
View: 5161

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Mathematical modelling is often spoken of as a way of life, referring to habits of mind and to dependence on the power of mathematics to describe, explain, predict and control real phenomena. This book aims to encourage teachers to provide opportunities for students to model a variety of real phenomena appropriately matched to students’ mathematical backgrounds and interests from early stages of mathematical education. Habits, misconceptions, and mindsets about mathematics can present obstacles to university students’ acceptance of a ‘‘models-and-modelling perspective’’ at this stage of mathematics education. Without prior experience in building, interpreting and applying mathematical models, many students may never come to view and regard modelling as a way of life. The book records presentations at the ICTMA 11 conference held in Milwaukee, Wisconsin in 2003. Examines mathematical modelling as a way of life, referring to habits of mind and dependence on the power of mathematics to describe, explain, predict and control real phenomena Encourages teachers to provide students with opportunities to model a variety of real phenomena appropriately matched to students’ mathematical backgrounds and interests from early stages of mathematical education Records presentations at the ICTMA 11 conference held in Milwaukee, Wisconsin in 2003

Mathematical Results in Quantum Mechanics

Proceedings of the QMath10 Conference, Moieciu, Romania, 10-15 September 2007
Author: Radu Purice
Publisher: World Scientific
ISBN: 9812832386
Category: Electronic books
Page: 312
View: 2785

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The 10th Quantum Mathematics International Conference (Qmath10) gave an opportunity to bring together specialists interested in that part of mathematical physics which is in close connection with various aspects of quantum theory. It was also meant to introduce young scientists and new tendencies in the field.This collection of carefully selected papers aims to reflect recent techniques and results on SchrAdinger operators with magnetic fields, random SchrAdinger operators, condensed matter and open systems, pseudo-differential operators and semiclassical analysis, quantum field theory and relativistic quantum mechanics, quantum information, and much more. The book serves as a concise and well-documented tool for the more experimented scientists, as well as a research guide for postgraduate students.

Mathematical Modeling in Optical Science

Author: Gang Bao,Lawrence Cowsar,Wen Masters
Publisher: SIAM
ISBN: 0898714753
Category: Science
Page: 334
View: 3545

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This volume addresses recent developments in mathematical modeling in three areas of optical science: diffractive optics, photonic band gap structures, and waveguides. Particular emphasis is on the formulation of mathematical models and the design and analysis of new computational approaches. The book contains cutting-edge discourses on emerging technology in optics that provides significant challenges and opportunities for applied mathematicians, researchers, and engineers. Each of the three topics is presented through a series of survey papers to provide a broad overview focusing on the mathematical models. Chapters present model problems, physical principles, mathematical and computational approaches, and engineering applications corresponding to each of the three areas. Although some of the subject matter is classical, the topics presented are new and represent the latest developments in their respective fields.

Schule des Denkens

vom Lösen mathematischer Probleme
Author: George Pólya
Publisher: N.A
ISBN: 9783772006081
Page: 266
View: 4398

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Mathematics Model Curriculum Guide, Kindergarten Through Grade Eight

Author: California. State Department of Education
Publisher: California Department of Education
Category: Curriculum planning
Page: 102
View: 946

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This document has been written to relate to the "Mathematics Framework for California Public Schools, Kindergarten through Grade Twelve" published in 1985. Part 1 of the document provides a brief summary of important characteristics of a strong elementary mathematics program. Part 2 of the document presents a portrait of a desired elementary mathematics program focused on the development of student understanding. Included in part 2 are discussions, lessons, and teaching suggestions related to certain basic, underlying mathematical ideas referred to in the "Mathematics Framework" as the "essential understandings." These are: (1) number; (2) measurement; (3) geometry; (4) patterns and functions; (5) statistics and probability; (6) logic; and (7) algebra. (RH)

The Rough Guide to Genes & Cloning

Author: Rough Guides
Publisher: Rough Guides UK
ISBN: 1848362242
Category: Science
Page: 336
View: 9292

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What exactly is a gene? How does cloning actually work? Are designer babies a bad idea? Could we ever clone a human? The Rough Guide To Genes & Cloning answers all these questions and more. From the inside story of cells and their structure and the sleuths who cracked the genetic code to DNA cloning, twins and Dolly the sheep. Illustrated throughout with helpful pictures and diagrams, this Rough Guide turns the microscope on the things that make us what we are.

Guide to Simulation and Modeling for Biosciences

Author: David J. Barnes,Dominique Chu
Publisher: Springer
ISBN: 1447167627
Category: Computers
Page: 339
View: 2744

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This accessible text presents a detailed introduction to the use of a wide range of software tools and modeling environments for use in the biosciences, as well as the fundamental mathematical background. The practical constraints presented by each modeling technique are described in detail, enabling the researcher to determine which software package would be most useful for a particular problem. Features: introduces a basic array of techniques to formulate models of biological systems, and to solve them; discusses agent-based models, stochastic modeling techniques, differential equations, spatial simulations, and Gillespie’s stochastic simulation algorithm; provides exercises; describes such useful tools as the Maxima algebra system, the PRISM model checker, and the modeling environments Repast Simphony and Smoldyn; contains appendices on rules of differentiation and integration, Maxima and PRISM notation, and some additional mathematical concepts; offers supplementary material at an associated website.

Resource Allocation Logic Framework to Meet Highway Asset Preservation

Author: John Wiegmann,Balaji Yelchuru
Publisher: Transportation Research Board
ISBN: 0309258715
Category: Bridges
Page: 81
View: 7913

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"TRB's National Cooperative Highway Research Program (NCHRP) Report 736: Resource Allocation Logic Framework to Meet Highway Asset Preservation presents a logic framework for allocating limited highway asset preservation funds among competing demands in order to help maximize system performance. The report also presents a spreadsheet-based computational tool that implements the framework. Prototypical application scenarios and case-study examples illustrate how transportation agency staff may use the framework to assist resource allocation decision making"--Publication information.

Mathematics Teachers in Transition

Author: Elizabeth Fennema,Barbara Scott Nelson
Publisher: Routledge
ISBN: 1136496394
Category: Education
Page: 448
View: 6782

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This book addresses the need of professional development leaders and policymakers for scholarly knowledge about influencing teachers to modify mathematical instruction to bring it more in alignment with the recommendations of the current reform movement initiated by the National Council of Teachers of Mathematics. The book presents: * theoretical perspectives for studying, analyzing, and understanding teacher change; * descriptions of contextual variables to be considered as one studies and attempts to understand teacher change; and * descriptions of professional development programs that resulted in teacher change. One chapter builds a rationale for looking to developmental psychology for guidance in constructing models of reconstructing new forms of mathematical instruction. Another highlights the relevance to mathematics teacher development of research-based knowledge about how children construct mathematical ideas. Other chapters explore the relationships between the various contexts of schooling and instructional change. Included also are chapters that describe and analyze major reform efforts designed to assist teachers in modifying their instructional practices (Cognitively Guided Instruction, Math-Cubed, Project Impact, Mathematics in Context, and the Case-Based Project). Finally, the current state of knowledge about encouraging teachers to modify their instruction is discussed, the implications of major research and implementation findings are suggested, and some of the major questions that need to be addressed are identified, such as what we have learned about teacher change.

Review Guide for LPN-LVN Pre-entrance Exam

Author: Mary McDonald,National League for Nursing. Assessment and Evaluation Division
Publisher: Jones & Bartlett Learning
ISBN: 9780763724870
Category: Medical
Page: 373
View: 7249

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These best-selling review guides provide an overview of the math, science, and verbal content necessary for admission to AD, BS, LPN, and LVN programs in nursing. Each include approximately 1,000 sample questions and three practice exams in the areas of math, science, and verbal, and contain helpful tips for test preparation.

Mathematics in Industrial Problems

Author: Avner Friedman
Publisher: Springer Science & Business Media
ISBN: 9780387949451
Category: Mathematics
Page: 210
View: 2478

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The 9th volume in Avner Friedmans collection of Mathematics in Industrial problems. Fostering interaction between industry and mathematics at the "grass roots" level, the problems presented here arise from models developed by industrial scientists engaged in R&D of new or improved products. Topics explored in this volume include diffusion in porous media and in rubber/glass transition, coating flows, solvation of molecules, semiconductor processing, optoelectronics, photographic images, density-functional theory, sphere packing, performance evaluation, causal networks, electrical well logging, general positioning system, sensor management, pursuit-evasion algorithms, and nonlinear viscoelasticity. Open problems and references are incorporated throughout and the final chapter contains some solutions to problems raised in earlier volumes.

Der LaTeX-Begleiter

Author: Frank Mittelbach,Michel Goossens
Publisher: Pearson Deutschland GmbH
ISBN: 9783868940886
Page: 1137
View: 5574

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Eureka Math Grade 7 Study Guide

Author: Great Minds
Publisher: John Wiley & Sons
ISBN: 1118811569
Category: Education
Page: 168
View: 9605

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Eureka Math is a comprehensive, content-rich PreK–12 curriculum that follows the focus and coherence of the Common Core State Standards in Mathematics (CCSSM) and carefully sequences the mathematical progressions into expertly crafted instructional modules. The companion Study Guides to Eureka Math gather the key components of the curriculum for each grade into a single location, unpacking the standards in detail so that both users and non-users of Eureka Math can benefit equally from the content presented. Each of the Eureka Math Curriculum Study Guides includes narratives that provide educators with an overview of what students should be learning throughout the year, information on alignment to the instructional shifts and the standards, design of curricular components, approaches to differentiated instruction, and descriptions of mathematical models. The Study Guides can serve as either a self-study professional development resource or as the basis for a deep group study of the standards for a particular grade. For teachers who are new to the classroom or the standards, the Study Guides introduce them not only to Eureka Math but also to the content of the grade level in a way they will find manageable and useful. Teachers familiar with the Eureka Math curriculum will also find this resource valuable as it allows for a meaningful study of the grade level content in a way that highlights the coherence between modules and topics. The Study Guides allow teachers to obtain a firm grasp on what it is that students should master during the year. The Eureka Math Curriculum Study Guide, Grade 7 provides an overview of all of the Grade 7 modules, including Ratios and Proportional Relationships; Rational Numbers; Expressions and Equations; Percent and Proportional Relationships; Statistics and Probability; Geometry.

Computer Algebra Recipes

An Advanced Guide to Scientific Modeling
Author: Richard H. Enns,George C. McGuire
Publisher: Springer Science & Business Media
ISBN: 9780387493336
Category: Mathematics
Page: 374
View: 2007

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This book presents a large number of computer algebra worksheets or "recipes" that have been designed using MAPLE to provide tools for problem solving and to stimulate critical thinking. No prior knowledge of MAPLE is necessary. All relevant commands are introduced on a need-to-know basis and are indexed for easy reference. Each recipe features a scientific model or method and an interesting or amusing story designed to both entertain and enhance concept comprehension and retention.

European Success Stories in Industrial Mathematics

Author: Thibaut Lery,Mario Primicerio,Maria J. Esteban,Magnus Fontes,Yvon Maday,Volker Mehrmann,Gonçalo Quadros,Wil Schilders,Andreas Schuppert,Heather Tewkesbury
Publisher: Springer Science & Business Media
ISBN: 3642238483
Category: Mathematics
Page: 136
View: 5759

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This unique book presents real world success stories of collaboration between mathematicians and industrial partners, showcasing first-hand case studies, and lessons learned from the experiences, technologies, and business challenges that led to the successful development of industrial solutions based on mathematics. It shows the crucial contribution of mathematics to innovation and to the industrial creation of value, and the key position of mathematics in the handling of complex systems, amplifying innovation. Each story describes the challenge that led to the industrial cooperation, how the challenge was approached and how the solutions were achieved and implemented. When brought together, they illustrate the versatile European landscape of projects in almost all areas of applied mathematics and across all business sectors. This book of success stories has its origin in the Forward Look about Mathematics and Industry that was funded by the European Science Foundation (ESF) and coordinated by the Applied Mathematics Committee of the European Mathematical Society (EMS). In each of these success stories, researchers, students, entrepreneurs, policy makers and business leaders in a range of disciplines will find valuable material and important lessons that can be applied in their own fields.​