Mathematical Modelling with Case Studies: A Differential Equation Approach Using Maple

Book Description

Mathematical Modelling with Case Studies provides students with a firm grounding in basic modelling skills applicable to a wide variety of problems. The focus is on models involving differential equations, with the solution of differential equations as the primary technique used.The models considered relate to growth and decay processes, interacting populations, and heating/cooling problems, but the range of applications and mathematical techniques presented provide a broad appreciation of the scope of this type of modelling, while the skills developed readily transfer to many other areas. Within each modelling section of the book, the authors carefully consider the procedure for constructing a model, emphasizing a start simple, evaluate, and then extend process. They use flow diagrams and word equations and discuss the assumptions made, consequent limitations, and impact on the interpretation of results--a structured, detailed approach that has proved a successful learning strategy. Along with theoretical and computational tools for analysis, the authors also encourage graphical methods and integrate throughout the text MAPLE code and its ensuing results. The prerequisites for this text are minimal, including only a basic knowledge of calculus and fundamental computing skills. Thus the book is an excellent choice both for mathematics students and for those in the many other fields of study that require some expertise in modelling.

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Suitability for those that are not engineers

Applied Contaminant Transport Modeling
Chunmiao Zheng , and Gordon D. Bennett
Manufacturer: Wiley-Interscience
ProductGroup: Book
Binding: Hardcover

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ASIN: 0471384771

Book Description

The challenges facing groundwater scientists and engineers today demand expertise in a wide variety of disciplines–geology, hydraulics, geochemistry, geophysics, and biology. As the number of the subdisciplines has increased and as each has become more complex and quantitative, the problem of integrating their concepts and contributions into a coherent overall interpretation has become progressively more difficult. To an increasing degree transport simulation has emerged as an answer to this problem, and the transport model has become a vehicle for integrating the vast amount of field data from a variety of sources and for understanding the relationship of various physical, chemical, and biological processes.

Applied Contaminant Transport Modeling is the first resource designed to provide coverage of the discipline’s basic principles, including the theories behind solute transport in groundwater, common numerical techniques for solving transport equations, and step-by-step guidance on the development and use of field-scale modeling. The Second Edition incorporates recent advances in contaminant transport theory and simulation techniques, adding the following to the original text:

-An expanded discussion of the role of aquifer heterogeneity in controlling solute transport
-A new section on the dual-domain mass transfer approach as an alternative to the classical advection-dispersion model
-Additional chemical processes and reactions in the discussion of reactive transport
-A discussion of the TVD (total-variation-diminishing) approach to transport solution
-An entirely new Part III containing two chapters on simulation of flow and transport under variable water density and under variable saturation, respectively, and a third chapter on the use of the simulation-optimization approach in remediation system design

Applied Contaminant Transport Modeling, Second Edition remains the premier reference for practicing hydrogeologists, environmental scientists, engineers, and graduate students in the field. In 1998, in recognition of their work on the first edition, the authors were honored with the John Hem Excellence in Science and Engineering Award of the National Ground Water Association

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Suitability for those that are not engineers.......2005-10-14

This book provided an excellent explanation of the modeling of solutes and groundwater that conveyed a very good understanding of the challenges and methods used without resorting to the use of mathematical sophistication that actual ground water modelers no doubt possess.

In other words, I think that this book would benefit both those that are hydrologists and geologists as well as those that have had some training in environemental site assessment and remediation but have not been exposed to the actual number crunching that is essential for doing actual simulations.

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Optimization Modeling With LINDO
Linus Schrage
Manufacturer: Duxbury Press
ProductGroup: Book
Binding: Hardcover

Decision-Making & Problem Solving | Management & Leadership | Business & Investing | Subjects | Books

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Optimization Modeling with LINGO

ASIN: 0534348572

Book Description

This successful book and software package--used by thousands of students and companies worldwide--shows readers how to apply optimization modeling to real business and industrial problems using LINDO for Windows.

Global Optimization: Scientific and Engineering Case Studies (Nonconvex Optimization and Its Applications)

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Global Optimization: Scientific and Engineering Case Studies (Nonconvex Optimization and Its Applications)

Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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ASIN: 0387304088

Book Description

Optimization models based on a nonlinear systems description often possess multiple local optima. The objective of global optimization (GO) is to find the best possible solution of multiextremal problems. This volume illustrates the applicability of GO modeling techniques and solution strategies to real-world problems.

The contributed chapters cover a broad range of applications from agroecosystem management, assembly line design, bioinformatics, biophysics, black box systems optimization, cellular mobile network design, chemical process optimization, chemical product design, composite structure design, computational modeling of atomic and molecular structures, controller design for induction motors, electrical engineering design, feeding strategies in animal husbandry, the inverse position problem in kinematics, laser design, learning in neural nets, mechanical engineering design, numerical solution of equations, radiotherapy planning, robot design, and satellite data analysis. The solution strategies discussed encompass a range of practically viable methods, including both theoretically rigorous and heuristic approaches.

Case Studies in Mathematical Modelling (Student Mathematical Library, Vol. 27) (Student Mathematical Library)

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Case Studies in Mathematical Modelling (Student Mathematical Library, Vol. 27) (Student Mathematical Library)
C. Sean Bohun , Samantha McCollum , and Thea van Roode
Manufacturer: American Mathematical Society
ProductGroup: Book
Binding: Paperback

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ASIN: 0821836501

Book Description

Mathematical modelling is a subject without boundaries. It is the means by which mathematics becomes useful to virtually any subject. Moreover, modelling has been and continues to be a driving force for the development of mathematics itself. This book explains the process of modelling real situations to obtain mathematical problems that can be analyzed, thus solving the original problem.

The presentation is in the form of case studies, which are developed much as they would be in true applications. In many cases, an initial model is created, then modified along the way. Some cases are familiar, such as the evaluation of an annuity. Others are unique, such as the fascinating situation in which an engineer, armed only with a slide rule, had 24 hours to compute whether a valve would hold when a temporary rock plug was removed from a water tunnel.

Each chapter ends with a set of exercises and some suggestions for class projects. Some projects are extensive, as with the explorations of the predator-prey model; others are more modest.

The text was designed to be suitable for a one-term course for advanced undergraduates. The selection of topics and the style of exposition reflect this choice. The authors have also succeeded in demonstrating just how enjoyable the subject can be.

Book Description

Exposing readers to some of today's most exciting and progressive research topics, this diverse compilation of case studies illustrates the unifying role of applied mathematics throughout the biological sciences. Written by leaders in the field, the cases demonstrate how successful modelers have used mathematics to answer real biological questions and takes readers step-by-step through the entire analytical process - question, model formulation, analysis, results, testing, and interpretation. It offers a solid foundation in theoretical biology and unifies mathematical, biological and modeling themes, providing useful tools for thought for future projects. Each section concludes with a project and problems and indicates numerous directions for further research and questions. For researchers new to mathematical biology.

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Case Studies in Mathematical Modelling

Manufacturer: Nelson Thornes Ltd
ProductGroup: Book
Binding: Spiral-bound

Constrained Dynamics Computations: Models and Case Studies

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Constrained Dynamics Computations: Models and Case Studies
Bud Fox , Leslie S. Jennings , Albert Y. Zomaya , and Albert Y Zomaya
Manufacturer: World Scientific Publishing Company
ProductGroup: Book
Binding: Hardcover

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ASIN: 9810243685

Energy Policy Analysis and Modelling (Cambridge Energy and Environment Series)

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Energy Policy Analysis and Modelling (Cambridge Energy and Environment Series)
Mohan Munasinghe , and Peter Meier
Manufacturer: Cambridge University Press
ProductGroup: Book
Binding: Hardcover

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ASIN: 0521363268

Book Description

Energy plays a crucial role in economic and social development. The analysis of energy issues and policy options is therefore a vital area of study. This book presents a hierarchical modeling scheme intended to support energy planning and policy analysis in developing countries. The authors examine the spreadsheet models, optimization models, and linear planning models that energy planners use, drawing illustrative case material from a number of countries throughout. Environmental considerations are also introduced into the analysis. The book will be of interest to students and practitioners of energy planning, and to those concerned with the wider development implications of energy policy.

Long Term Hillslope and Fluvial System Modelling: Concepts and Case Studies from the Rhine River Catchment (Lecture Notes in Earth Sciences)

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Long Term Hillslope and Fluvial System Modelling: Concepts and Case Studies from the Rhine River Catchment (Lecture Notes in Earth Sciences)

Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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ASIN: 3540009825

Amazon.com

In the Morison house the important goes unsaid and indirection is the operative mode--conversation stops where it should start and key terms such as fear, pain, pregnancy, fail to be addressed. The younger son, an eight-year-old, passes his days deciphering adults' inaccessible discussions. "In this fashion they communicated with each other, out of knowledge and experience inaccessible to Bunny. By nods and silences. By a tired curve of his mother's mouth. By his father's measuring glance over the top of his spectacles." Bunny's older brother would rather escape to the outside world, and their father finds declaiming the day's headlines--World War I's end and the onslaught of Spanish Influenza--far preferable to engagement. Only Elizabeth, their mother, is capable of holding the family together. The fifth main character in They Came Like Swallows is the house itself. Maxwell expresses the boys' reactions through this labile, interior landscape. Bunny finds the dining room can be "braced and ready for excitement"; later his brother realizes "for the first time how still the house was, how full of waiting, ... tense and expectant." Though war never makes it to Illinois, the flu changes all. First Bunny is stricken, and once he recovers Elizabeth, pregnant, dies from it. In quiet, piercing prose, William Maxwell's second novel, originally published in 1937, evokes the greatest of losses and the terrors of imagination.

Book Description

hrough the eyes of two boys and their father, William Maxwell reveals the complex woman who is the unacknowledged source of their happiness--and whose death during the influenza epic of 1918 will devastate them all. They Came Like Swallows tenderly depicts the currents of love and need that run through every family--and whose true depth becomes evident only in moments of tragedy.

Customer Reviews:

Elegant prose.......2006-11-02

I teach an undergraduate course in epidemiology and a video I show features elderly people who remember the 1918 flu epidemic in the U.S. One interview featured William Maxwell, who spoke eloquently about the illness and death of his mother as a result of the disease and this caused "the shine to go out of everything." I didn't make the connection between this interview and the William Maxwell of The New Yorker fame until recently. I just finished this book and found the simple story to be very moving. Based no doubt on losing his mother to the flu, he crafts a simple story from the point of view of her two sons and husband who lose their mother/wife, the reader realizes the devastation that comes when a family member is lost. The wife/mother is the heart of this family and the loss they feel is poignantly revealed by the three narrators. This is the first William Maxwell book I've read and I intend to explore some others. Maxwell is a gentle writer and I look forward to reading more. Give this one a try!

The best from the invisible master.......2001-12-03

William Maxwell, longtime fiction editor for the New Yorker, had a prolific writing career that spanned seven decades. His writing is spare and elegant, his characters genuine. This short(150 pages)novel deals with a family coping with the death of the mother. Each of the three chapters is written from the perspective of one of the survivors -- a preteen boy, a teenage boy, and their father. There is not a wasted or misplaced word in this book. Maxwell manages to capture the depth of experience of each of the characters in very few words. Maxwell should be ranked with the greatest of 20th century American authors; his relative obscurity is a mystery to me. This is my favorite of his novels.

Worth Reading.......2001-04-21

William Maxwell's short novel is a snapshot of a quintessential American family living during an interesting time. At the first World War comes to an end, the Illinios community is also rocked by an influenza outbreak. But while I found the topic interesting, I also found the characters flat. The youngest son, Bunny, is by far the most developed. In contrast, the father remains more of a sketch. After finishing the book I appreciated the clean, sparse writing style of Maxwell's novel, but didn't much care about saying goodbye to these characters. It's not a book that will linger with me.

Poignant, spare, taut, memorable.......2001-02-19

I learned of this book thru its being listed by Amazon as one of the ten best books of the 1930s. It is easy to read, but is sad and poignant. It speaks first from the viewpoint of the 8-year-old, then from the viewpoint of the 13 year old, finally the denouement: When I closed the book I realized that it would remain in my memory far longer than most novels. For those of you familiar with Josephine Johnson's Pulitzer-prize-winning novel, Now in November, am I wrong to think this book resonates the way that book has done (read by me over 40 years ago)?

A Beautiful, Satisfying Read.......1998-10-14

The great griefs and terrors of childhood are in this book as well as the joys and mysteries.

I read it once then turned immediately to the first page and began again.

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They Came Like Swallows
William Maxwell
Manufacturer: Harper & Brothers
ProductGroup: Book
Binding: Hardcover
ASIN: B000FN4724

Product Description

hardback, 1937 dustcover five stories.

They came like swallows by William Maxwell: [prospectus]

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They came like swallows by William Maxwell: [prospectus]
Christopher Morley
Manufacturer: Book-of-the Month Club
ProductGroup: Book
Binding: Unknown Binding
ASIN: B0008AJYOK

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They Came Like Swallows
William Maxwell
Manufacturer: HARPERS
ProductGroup: Book
Binding: Hardcover
ASIN: B000OJL7M2

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They Came Like Swallows
William Maxwell
Manufacturer: Harper and Brothers
ProductGroup: Book
Binding: Hardcover
ASIN: B000NWSWR8

They came like swallows: [Slight revisions have been made by the author] (A Milestone book)

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They came like swallows: [Slight revisions have been made by the author] (A Milestone book)
William Maxwell
Manufacturer: Vintage Books
ProductGroup: Book
Binding: Unknown Binding
ASIN: B0007EPYPK

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They Came Like Swallows
William Maxwell
Manufacturer: HARPER & BROS
ProductGroup: Book
Binding: Hardcover
ASIN: B000PX5PMU

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