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Invitation to Applied Mathematics: Differential Equations, Modeling, and Computation - Tapa dura

Chicone, Carmen

 
9780128041536: Invitation to Applied Mathematics: Differential Equations, Modeling, and Computation
Tapa dura
ISBN 10: 0128041536 ISBN 13: 9780128041536
Editorial: Academic Press, 2016

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del autor

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.

De la contraportada

An Invitation to Applied Mathematics 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. A mathematical model is constructed using physical and constitutive laws arising from 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. The reader who faithfully follows the narrative and successfully completes a representative sample of the exercises and projects 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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Academic Press
Año de publicación
2016
Idioma
Inglés
ISBN 10 
0128041536
ISBN 13 
9780128041536
Encuadernación
Tapa dura
Número de edición
1
Número de páginas
880
Contacto del fabricante
no disponible
Persona responsable
gpsr@libri.de
gpsr@libri.de

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