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Advanced Engineering Mathematics with Modeling Applications - S. Graham Kelly

Advanced Engineering Mathematics with Modeling Applications

(Autor)

Buch | Hardcover
538 Seiten
2008
Crc Press Inc (Verlag)
978-0-8493-9533-8 (ISBN)
CHF 52,35 inkl. MwSt
Presents a combination of theoretical mathematics and engineering applications. This book demonstrates the relationship between advanced mathematics and engineering principles. It introduces engineering mathematics at a theoretical level, and includes functional analysis topics such as vector spaces, inner products, and norms.
Engineers require a solid knowledge of the relationship between engineering applications and underlying mathematical theory. However, most books do not present sufficient theory, or they do not fully explain its importance and relevance in understanding those applications.

Advanced Engineering Mathematics with Modeling Applications employs a balanced approach to address this informational void, providing a solid comprehension of mathematical theory that will enhance understanding of applications – and vice versa. With a focus on modeling, this book illustrates why mathematical methods work, when they apply, and what their limitations are. Designed specifically for use in graduate-level courses, this book:






Emphasizes mathematical modeling, dimensional analysis, scaling, and their application to macroscale and nanoscale problems



Explores eigenvalue problems for discrete and continuous systems and many applications



Develops and applies approximate methods, such as Rayleigh-Ritz and finite element methods



Presents applications that use contemporary research in areas such as nanotechnology

Apply the Same Theory to Vastly Different Physical ProblemsPresenting mathematical theory at an understandable level, this text explores topics from real and functional analysis, such as vector spaces, inner products, norms, and linear operators, to formulate mathematical models of engineering problems for both discrete and continuous systems. The author presents theorems and proofs, but without the full detail found in mathematical books, so that development of the theory does not obscure its application to engineering problems. He applies principles and theorems of linear algebra to derive solutions, including proofs of theorems when they are instructive. Tying mathematical theory to applications, this book provides engineering students with a strong foundation in mathematical terminology and methods.

S. Graham Kelly

Foundations of mathematical modeling. Linear algebra. Ordinary differential equations. Variational methods. Eigenvalue problems. Partial differential equations. Index.

Erscheint lt. Verlag 17.12.2008
Zusatzinfo 13 Tables, black and white; 159 Illustrations, black and white
Verlagsort Bosa Roca
Sprache englisch
Maße 156 x 234 mm
Gewicht 884 g
Themenwelt Mathematik / Informatik Mathematik Angewandte Mathematik
Technik Umwelttechnik / Biotechnologie
ISBN-10 0-8493-9533-X / 084939533X
ISBN-13 978-0-8493-9533-8 / 9780849395338
Zustand Neuware
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