Stefan Heinz Mathematical Modeling

ISBN 13: 9783642203107

Mathematical Modeling

2.67 avg rating
( 3 ratings by Goodreads )
 
9783642203107: Mathematical Modeling

The whole picture of Mathematical Modeling is systematically and thoroughly explained in this text for undergraduate and graduate students of mathematics, engineering, economics, finance, biology, chemistry, and physics. This textbook gives an overview of the spectrum of modeling techniques, deterministic and stochastic methods, and first-principle and empirical solutions.

Complete range: The text continuously covers the complete range of basic modeling techniques: it provides a consistent transition from simple algebraic analysis methods to simulation methods used for research. Such an overview of the spectrum of modeling techniques is very helpful for the understanding of how a research problem considered can be appropriately addressed.

Complete methods: Real-world processes always involve uncertainty, and the consideration of randomness is often relevant. Many students know deterministic methods, but they do hardly have access to stochastic methods, which are described in advanced textbooks on probability theory. The book develops consistently both deterministic and stochastic methods. In particular, it shows how deterministic methods are generalized by stochastic methods.

Complete solutions: A variety of empirical approximations is often available for the modeling of processes. The question of which assumption is valid under certain conditions is clearly relevant. The book provides a bridge between empirical modeling and first-principle methods: it explains how the principles of modeling can be used to explain the validity of empirical assumptions. The basic features of micro-scale and macro-scale modeling are discussed – which is an important problem of current research.

"synopsis" may belong to another edition of this title.

About the Author:

Dr. Stefan Heinz is a Professor of Mathematics at the University of Wyoming. He holds a Ph.D. in Physics from the Heinrich-Hertz Institute, Berlin. His research interests are in mathematical modeling, multiscale processes, stochastic analysis, Monte Carlo simulations, computational fluid dynamics, turbulence, combustion, and multiphase flows. He has authored more than seventy refereed publications and the textbook Statistical Mechanics of Turbulent Flows (Springer, 2003). For more than ten years he has taught a variety of courses: calculus, probability, ordinary, partial, and stochastic differential equations, applied mathematics, and deterministic and stochastic mathematical modeling. His exceptional teaching was awarded in 2007 by the College of Arts and Sciences Extraordinary Merit in Teaching Award. In 2008 he was honored as Adjunct Professor of Mechanical Engineering. He has held visiting professor appointments at ETH Zurich, Delft Technical University, and the National Center for Atmospheric Research (NCAR) at Boulder.

Review:

From the reviews:

“It is of special interest for a fluid dynamics audience since most types of models one would like to apply in fluid dynamic systems are introduced. ... Mathematical modeling is of great use as background reading material for any course on advanced fluid dynamics. ... A total of 570 exercise questions are organized in 220 problems ... . I strongly recommend the book to anyone wanting to acquire good understanding what mathematical modeling is about.” (Dirk J. E. M. Roekaerts, Theoretical and Computational Fluid Dynamics, Vol. 27, 2013)

“The book covers two primary types of modeling: deterministic and stochastic. ... The text can be used for a course at the undergraduate or graduate level. ... This course would be particularly beneficial to students outside of science and engineering. ... I like this book and recommend it as a text in mathematical modeling. I also recommend it for those studying turbulent fluid mechanics, stochastic vibration & structures, noise, meteorology, random data management, and stock market analysis.” (Peyman Givi, AIAA Journal, Vol. 50 (12), December, 2012)

“This book is aimed at advanced undergraduate and graduate students in mathematics who have a background in single and multivariable calculus, linear algebra, and ordinary differential equations. ... focuses on the construction of mathematical models, the derivation of analytical solutions to tractable models, and the qualitative analysis of the behavior of solutions to the less tractable models. ... The entire book could be covered in a two-semester sequence of courses at the graduate level. Summing Up: Recommended. Upper-division undergraduates and graduate students.” (B. Borchers, Choice, Vol. 49 (5), January, 2012)

“The book under review is aimed at students in mathematics, physics, engineering, biology, chemistry, economics, finance. ... well-written, generously illustrated, and contains many carefully explained examples that are often based on real data. Each chapter starts with a brief ‘Motivation’ section and concludes with a ‘Summary’ that emphasizes the most important ideas and techniques. ... This textbook nicely complements existing literature on mathematical modeling and can be used both as a main source or as a supplementary text ... in applied mathematics and mathematical modeling.” (Svitlana P. Rogovchenko, Zentralblatt MATH, Vol. 1239, 2012)

“It is a collection of examples of models ... with a large emphasis on engineering, the author’s major field as well as the theme of its Springer series. ... this book may serve as a reference for those seeking examples of modeling in different specializations, or as a resource for exercises; several of the latter are at the end of each chapter.” (J. David Logan, SIAM Review, Vol. 54 (3), 2012)

"About this title" may belong to another edition of this title.

Top Search Results from the AbeBooks Marketplace

International Edition
International Edition

1.

S.Heinz
ISBN 10: 3642203108 ISBN 13: 9783642203107
New Quantity Available: 5
International Edition
Seller:
firstbookstore
(New Delhi, India)
Rating
[?]

Book Description Book Condition: Brand New. Brand New Paperback International Edition, Perfect Condition. Printed in English. Excellent Quality, Service and customer satisfaction guaranteed!. Bookseller Inventory # AIND-39589

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 44.01
Convert Currency

Add to Basket

Shipping: FREE
From India to U.S.A.
Destination, Rates & Speeds
International Edition
International Edition

2.

S.Heinz
ISBN 10: 3642203108 ISBN 13: 9783642203107
New Quantity Available: 1
International Edition
Seller:
Bookshub
(Karol Bagh, India)
Rating
[?]

Book Description Book Condition: New. New. International edition. Different ISBN and Cover image but contents are same as US edition. Perfect condition. Customer satisfaction our priority. Bookseller Inventory # ABE-FEB-139201

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 44.48
Convert Currency

Add to Basket

Shipping: FREE
From India to U.S.A.
Destination, Rates & Speeds
International Edition
International Edition

3.

S.Heinz
ISBN 10: 3642203108 ISBN 13: 9783642203107
New Quantity Available: 1
International Edition
Seller:
EBOOKSTORE2010
(New Delhi, ND, India)
Rating
[?]

Book Description Book Condition: Brand New. New. SoftCover International edition. Different ISBN and Cover image but contents are same as US edition. Customer Satisfaction guaranteed!!. Bookseller Inventory # SHUB139201

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 44.53
Convert Currency

Add to Basket

Shipping: FREE
From India to U.S.A.
Destination, Rates & Speeds
International Edition
International Edition

4.

S.Heinz
ISBN 10: 3642203108 ISBN 13: 9783642203107
New Softcover Quantity Available: 5
International Edition
Seller:
Romtrade Corp.
(STERLING HEIGHTS, MI, U.S.A.)
Rating
[?]

Book Description Book Condition: New. Brand New Paperback International Edition.We Ship to PO BOX Address also. EXPEDITED shipping option also available for faster delivery. Bookseller Inventory # AUSBNEW-39589

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 47.12
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds
International Edition
International Edition

5.

S.Heinz
ISBN 10: 3642203108 ISBN 13: 9783642203107
New Softcover Quantity Available: 1
International Edition
Seller:
Basi6 International
(Irving, TX, U.S.A.)
Rating
[?]

Book Description Book Condition: Brand New. New, SoftCover International edition. Different ISBN and Cover image but contents are same as US edition. Excellent Customer Service. Bookseller Inventory # ABEUSA-139201

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 47.14
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

6.

Stefan Heinz
Published by Springer Berlin Heidelberg 2011-07-03, Berlin |London (2011)
ISBN 10: 3642203108 ISBN 13: 9783642203107
New Hardcover Quantity Available: > 20
Seller:
Blackwell's
(Oxford, OX, United Kingdom)
Rating
[?]

Book Description Springer Berlin Heidelberg 2011-07-03, Berlin |London, 2011. hardback. Book Condition: New. Bookseller Inventory # 9783642203107

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 61.12
Convert Currency

Add to Basket

Shipping: US$ 7.91
From United Kingdom to U.S.A.
Destination, Rates & Speeds

7.

Stefan Heinz
Published by Springer-Verlag Berlin and Heidelberg GmbH and Co. KG (2011)
ISBN 10: 3642203108 ISBN 13: 9783642203107
New Quantity Available: > 20
Print on Demand
Seller:
Pbshop
(Wood Dale, IL, U.S.A.)
Rating
[?]

Book Description Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, 2011. HRD. Book Condition: New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Bookseller Inventory # IP-9783642203107

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 66.44
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds

8.

Stefan Heinz
Published by Springer (2011)
ISBN 10: 3642203108 ISBN 13: 9783642203107
New Hardcover Quantity Available: 1
Seller:
Rating
[?]

Book Description Springer, 2011. Book Condition: New. Bookseller Inventory # L9783642203107

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 71.32
Convert Currency

Add to Basket

Shipping: US$ 3.51
From Germany to U.S.A.
Destination, Rates & Speeds

9.

Stefan Heinz
Published by Springer-Verlag Gmbh Jul 2011 (2011)
ISBN 10: 3642203108 ISBN 13: 9783642203107
New Quantity Available: 1
Seller:
Rating
[?]

Book Description Springer-Verlag Gmbh Jul 2011, 2011. Buch. Book Condition: Neu. Neuware - The whole picture of Mathematical Modeling is systematically and thoroughly explained in this text for undergraduate and graduate students of mathematics, engineering, economics, finance, biology, chemistry, and physics. This textbook gives an overview of the spectrum of modeling techniques, deterministic and stochastic methods, and first-principle and empirical solutions. Complete range : The text continuously covers the complete range of basic modeling techniques: it provides a consistent transition from simple algebraic analysis methods to simulation methods used for research. Such an overview of the spectrum of modeling techniques is very helpful for the understanding of how a research problem considered can be appropriately addressed. Complete methods : Real-world processes always involve uncertainty, and the consideration of randomness is often relevant. Many students know deterministic methods, but they do hardly have access to stochastic methods, which are described in advanced textbooks on probability theory. The book develops consistently both deterministic and stochastic methods. In particular, it shows how deterministic methods are generalized by stochastic methods. Complete solutions : A variety of empirical approximations is often available for the modeling of processes. The question of which assumption is valid under certain conditions is clearly relevant. The book provides a bridge between empirical modeling and first-principle methods: it explains how the principles of modeling can be used to explain the validity of empirical assumptions. The basic features of micro-scale and macro-scale modeling are discussed - which is an important problem of current research. 460 pp. Englisch. Bookseller Inventory # 9783642203107

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 66.57
Convert Currency

Add to Basket

Shipping: US$ 14.10
From Germany to U.S.A.
Destination, Rates & Speeds

10.

Stefan Heinz
Published by Springer-Verlag Berlin and Heidelberg GmbH and Co. KG (2011)
ISBN 10: 3642203108 ISBN 13: 9783642203107
New Quantity Available: > 20
Print on Demand
Seller:
Books2Anywhere
(Fairford, GLOS, United Kingdom)
Rating
[?]

Book Description Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, 2011. HRD. Book Condition: New. New Book. Delivered from our US warehouse in 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND.Established seller since 2000. Bookseller Inventory # IP-9783642203107

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 69.68
Convert Currency

Add to Basket

Shipping: US$ 11.87
From United Kingdom to U.S.A.
Destination, Rates & Speeds

There are more copies of this book

View all search results for this book