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Mathematical Modelling with Differential Equations

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Paperback / softback
270 Pages
27 May 2024
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Mathematical Modelling with Differential Equations aims to introduce various strategies for modelling systems using differential equations. Some of these methodologies are elementary and quite direct to comprehend and apply while others are complex in nature and require thoughtful, deep contemplation. Many topics discussed in the chapter do not appear in any of the standard textbooks and this provides users an opportunity to consider a more general set of interesting systems that can be modelled. For example, the book investigates the evolution of a "toy universe," discusses why "alternate futures" exists in classical physics, constructs approximate solutions to the famous Thomas—Fermi equation using only algebra and elementary calculus, and examines the importance of "truly nonlinear" and oscillating systems.

Features

  • Introduces, defines, and illustrates the concept of "dynamic consistency" as the foundation of modelling.
  • Can be used as the basis of an upper-level undergraduate course on general procedures for mathematical modelling using differential equations.
  • Discusses the issue of dimensional analysis and continually demonstrates its value for both the construction and analysis of mathematical modelling.

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    Product Details
    ISBN-13
    9781032015309
    Author
    Ronald E. Mickens
    Publisher
    CRC Press
    Published
    27 May 2024
    Format
    Paperback / softback
    Pages
    270

    This product hasn't received any reviews yet. Be the first to review this product!

    RRP: $107.99
    $107.00
    Ships in 2-5 business days

    Delivery estimate

    Hurry up! Current stock:

    Mathematical Modelling with Differential Equations

    RRP: $107.99
    $107.00

    Description

    Mathematical Modelling with Differential Equations aims to introduce various strategies for modelling systems using differential equations. Some of these methodologies are elementary and quite direct to comprehend and apply while others are complex in nature and require thoughtful, deep contemplation. Many topics discussed in the chapter do not appear in any of the standard textbooks and this provides users an opportunity to consider a more general set of interesting systems that can be modelled. For example, the book investigates the evolution of a "toy universe," discusses why "alternate futures" exists in classical physics, constructs approximate solutions to the famous Thomas—Fermi equation using only algebra and elementary calculus, and examines the importance of "truly nonlinear" and oscillating systems.

    Features

    • Introduces, defines, and illustrates the concept of "dynamic consistency" as the foundation of modelling.
    • Can be used as the basis of an upper-level undergraduate course on general procedures for mathematical modelling using differential equations.
    • Discusses the issue of dimensional analysis and continually demonstrates its value for both the construction and analysis of mathematical modelling.

    You Can Find This Title In

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