عنوان

Methods of mathematical modelling :

(Number (ISBN

3319230417

(Number (ISBN

3319230425

(Number (ISBN

9783319230412

(Number (ISBN

9783319230429

Erroneous ISBN

9783319230412

Country Code

bnb

Number

b623920

Title Proper

Methods of mathematical modelling :

General Material Designation

[Book]

Other Title Information

continuous systems and differential equations /

First Statement of Responsibility

Thomas Witelski, Mark Bowen.

Specific Material Designation and Extent of Item

1 online resource (xviii, 305 pages) :

Other Physical Details

illustrations (some color)

Series Title

Springer undergraduate mathematics series,

ISSN of Series

1615-2085

Text of Note

Includes bibliographical references and index.

Text of Note

Rate equations -- Transport equations -- Variational principles -- Dimensional scaling analysis -- Self-similar scaling solutions of differential equations -- Perturbation methods -- Boundary layer theory -- Long-wave asymptotics for PDE problems -- Weakly-nonlinear oscillators -- Fast/slow dynamical systems -- Reduced models for PDE problems -- Modelling in applied fluid dynamics.

0

Text of Note

This book presents mathematical modelling and the integrated process of formulating sets of equations to describe real-world problems. It describes methods for obtaining solutions of challenging differential equations stemming from problems in areas such as chemical reactions, population dynamics, mechanical systems, and fluid mechanics. Chapters 1 to 4 cover essential topics in ordinary differential equations, transport equations and the calculus of variations that are important for formulating models. Chapters 5 to 11 then develop more advanced techniques including similarity solutions, matched asymptotic expansions, multiple scale analysis, long-wave models, and fast/slow dynamical systems. Methods of Mathematical Modelling will be useful for advanced undergraduate or beginning graduate students in applied mathematics, engineering and other applied sciences.

Source for Acquisition/Subscription Address

Springer Nature

Stock Number

com.springer.onix. 9783319230429

International Standard Book Number

9783319230412

Mathematical models.

Calculus of variations.

Differential calculus & equations.

Mathematical modelling.

Mathematical models.

Mathematics-- Applied.

Mathematics-- Calculus.

Mathematics-- Differential Equations.

MAT007000

PBKJ

PBKJ

Number

Edition

Class number

Witelski, Thomas

Bowen, Mark

Date of Transaction

20201221083035.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

270410

Y