Differential Equations as Models in Science and Engineering

Nonfiction, Science & Nature, Mathematics, Differential Equations, Applied
Cover of the book Differential Equations as Models in Science and Engineering by Gregory Baker, World Scientific Publishing Company
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Gregory Baker ISBN: 9789814656993
Publisher: World Scientific Publishing Company Publication: July 25, 2016
Imprint: WSPC Language: English
Author: Gregory Baker
ISBN: 9789814656993
Publisher: World Scientific Publishing Company
Publication: July 25, 2016
Imprint: WSPC
Language: English

This textbook develops a coherent view of differential equations by progressing through a series of typical examples in science and engineering that arise as mathematical models. All steps of the modeling process are covered: formulation of a mathematical model; the development and use of mathematical concepts that lead to constructive solutions; validation of the solutions; and consideration of the consequences. The volume engages students in thinking mathematically, while emphasizing the power and relevance of mathematics in science and engineering. There are just a few guidelines that bring coherence to the construction of solutions as the book progresses through ordinary to partial differential equations using examples from mixing, electric circuits, chemical reactions and transport processes, among others. The development of differential equations as mathematical models and the construction of their solution is placed center stage in this volume.

Contents:

  • Linear Ordinary Differential Equations

  • Periodic Behavior

  • Boundary Value Problems

  • Linear Partial Differential Equations

  • Systems of Differential Equations

  • Appendices:

    • The Exponential Function
    • The Taylor Series
    • Systems of Linear Equations
    • Complex Variables

Readership: Undergraduates in science and engineering studying differential equations.
Key Features:

  • This textbook is unique in its approach to present mathematics within the context of science and engineering. It shows students why mathematics is powerful
  • It emphasizes mathematical understanding as the important approach to the construction of solutions
  • It provides students the opportunity to see just how mathematics is a natural part of science and engineering. Then, students become motivated to understand the mathematics
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This textbook develops a coherent view of differential equations by progressing through a series of typical examples in science and engineering that arise as mathematical models. All steps of the modeling process are covered: formulation of a mathematical model; the development and use of mathematical concepts that lead to constructive solutions; validation of the solutions; and consideration of the consequences. The volume engages students in thinking mathematically, while emphasizing the power and relevance of mathematics in science and engineering. There are just a few guidelines that bring coherence to the construction of solutions as the book progresses through ordinary to partial differential equations using examples from mixing, electric circuits, chemical reactions and transport processes, among others. The development of differential equations as mathematical models and the construction of their solution is placed center stage in this volume.

Contents:

Readership: Undergraduates in science and engineering studying differential equations.
Key Features:

More books from World Scientific Publishing Company

Cover of the book Tools to Help Your Children Learn Math by Gregory Baker
Cover of the book Studies on Contemporary China by Gregory Baker
Cover of the book Powered by Feel by Gregory Baker
Cover of the book Life at the Center of the Energy Crisis by Gregory Baker
Cover of the book Ocean Surface Waves by Gregory Baker
Cover of the book Waves and Rays in Elastic Continua by Gregory Baker
Cover of the book 2014 Regional Competitiveness Analysis and a Master Plan on Regional Development Strategies for India by Gregory Baker
Cover of the book Integrated Approach to Obstetrics and Gynaecology by Gregory Baker
Cover of the book Quantitative Modelling in Marketing and Management by Gregory Baker
Cover of the book Decision Making Systems in Business Administration by Gregory Baker
Cover of the book Structural Health Monitoring for Advanced Composite Structures by Gregory Baker
Cover of the book BochnerRiesz Means on Euclidean Spaces by Gregory Baker
Cover of the book Sustainability Matters by Gregory Baker
Cover of the book Geometry of Semilinear Embeddings by Gregory Baker
Cover of the book Studies in Foreign Exchange Economics by Gregory Baker
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy