Overview
An Invitation to Applied Mathematics: Differential Equations, Modeling, and Computation introduces the reader to the methodology of modern applied mathematics in modeling, analysis, and scientific computing with emphasis on the use of ordinary and partial differential equations. Each topic is introduced with an attractive physical problem, where a mathematical model is constructed using physical and constitutive laws arising from the conservation of mass, conservation of momentum, or Maxwell's electrodynamics. Relevant mathematical analysis (which might employ vector calculus, Fourier series, nonlinear ODEs, bifurcation theory, perturbation theory, potential theory, control theory, or probability theory) or scientific computing (which might include Newton's method, the method of lines, finite differences, finite elements, finite volumes, boundary elements, projection methods, smoothed particle hydrodynamics, or Lagrangian methods) is developed in context and used to make physically significant predictions. The target audience is advanced undergraduates (who have at least a working knowledge of vector calculus and linear ordinary differential equations) or beginning graduate students. Readers will gain a solid and exciting introduction to modeling, mathematical analysis, and computation that provides the key ideas and skills needed to enter the wider world of modern applied mathematics.
Full Product Details
Author: Carmen Chicone (Professor of Mathematics, University of Missouri, USA)
Publisher: Elsevier Science Publishing Co Inc
Imprint: Academic Press Inc
Dimensions:
Width: 15.20cm
, Height: 4.80cm
, Length: 22.90cm
Weight: 1.520kg
ISBN: 9780128041536
ISBN 10: 0128041536
Pages: 878
Publication Date: 29 September 2016
Audience:
College/higher education
,
Undergraduate
,
Postgraduate, Research & Scholarly
Format: Hardback
Publisher's Status: Active
Availability: Manufactured on demand 
We will order this item for you from a manufactured on demand supplier.
Table of Contents
Chapter 1: Applied Mathematics and Mathematical Modeling Chapter 2: Differential Equations Part I: Conservation of Mass: Biology, Chemistry, Physics, and Engineering Chapter 3: An Environmental Pollutant Chapter 4: Acid Dissociation, Buffering, Titration, and Oscillation Chapter 5: Reaction, Diffusion, and Convection Chapter 6: Excitable Media: Transport of Electrical Signals on Neurons Chapter 7: Splitting Methods Chapter 8: Feedback Control Chapter 9: Random Walks and Diffusion Chapter 10: Problems and Projects: Concentration Gradients, Convection, Chemotaxis, Cruise Control, Constrained Control, Pearson’s Random Walk, Molecular Dynamics, Pattern Formation Part II: Newton’s Second Law: Fluids and Elastic Solids Chapter 11: Equations of Fluid Motion Chapter 12: Flow in a Pipe Chapter 13: Eulerian Flow Chapter 14: Equations of Motion in Moving Coordinate Systems Chapter 15: Water Waves Chapter 16: Numerical Methods for Computational Fluid Dynamics Chapter 17: Channel Flow Chapter 18: Elasticity: Basic Theory and Equations of Motion Chapter 19: Problems and Projects: Rods, Plates, Panel Flutter, Beams, Convection-Diffusion in Tunnels, Gravitational Potential of a Galaxy, Taylor Dispersion, Cavity Flow, Drag, Low and High Reynolds Number Flows, Free-Surface Flow, Channel Flow Part III: Electromagnetism: Maxwell’s Laws and Transmission Lines Chapter 20: Classical Electromagnetism Chapter 21: Transverse Electromagnetic (TEM) Mode Chapter 22: Transmission Lines Chapter 23: Problems and Projects: Waveguides, Lord Kelvin’s Model
Reviews
This is fantastic resource for anyone who is looking for a single volume that extensively covers differential equations arising from diverse phenomena in physics, biology, chemistry, and engineering. The book is suitable not only as a textbook, but also as an indispensable resource for anyone interested in applied mathematics where differential equations and related numerics make up the core. --Mathematical Association of America
This is fantastic resource for anyone who is looking for a single volume that extensively covers differential equations arising from diverse phenomena in physics, biology, chemistry, and engineering. The book is suitable not only as a textbook, but also as an indispensable resource for anyone interested in applied mathematics where differential equations and related numerics make up the core. --Mathematical Association of America
Author Information
Carmen Chicone, Professor of Mathematics, University of Missouri, has been teaching the material presented in this book for more than 10 years. He has extensive experience, and his enthusiasm for the subject is infectious.
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