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Analytical and Computational Methods of Advanced Engineering Mathematics
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ISBN: 9781461206330

(NOTES)This text focuses on the topics which are an essential part of the engineering mathematics course:ordinary differential equations, vector calculus, linear algebra and partial diffe… More...

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Analytical and Computational Methods of Advanced Engineering Mathematics - Grant B. Gustafson/ Calvin H. Wilcox
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Analytical and Computational Methods of Advanced Engineering Mathematics - new book

ISBN: 9781461206330

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Analytical and Computational Methods of Advanced Engineering Mathematics - Grant B. Gustafson/ Calvin H. Wilcox
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Grant B. Gustafson/ Calvin H. Wilcox:
Analytical and Computational Methods of Advanced Engineering Mathematics - new book

ISBN: 9781461206330

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Analytical and Computational Methods of Advanced Engineering Mathematics - Grant B. Gustafson/ Calvin H. Wilcox
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Analytical and Computational Methods of Advanced Engineering Mathematics - new book

ISBN: 9781461206330

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Analytical and Computational Methods of Advanced Engineering Mathematics - Grant B. Gustafson/ Calvin H. Wilcox
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Grant B. Gustafson/ Calvin H. Wilcox:
Analytical and Computational Methods of Advanced Engineering Mathematics - new book

ISBN: 9781461206330

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Analytical and Computational Methods of Advanced Engineering Mathematics
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9781461206330

Details of the book - Analytical and Computational Methods of Advanced Engineering Mathematics


EAN (ISBN-13): 9781461206330
Publishing year: 2012
Publisher: Springer US

Book in our database since 2017-05-23T01:35:40+01:00 (London)
Detail page last modified on 2023-12-23T09:01:51+00:00 (London)
ISBN/EAN: 9781461206330

ISBN - alternate spelling:
978-1-4612-0633-0
Alternate spelling and related search-keywords:
Book author: calvin, andersson
Book title: advanced engineering mathematics, computational engineering

Information from Publisher

Author: Grant B. Gustafson
Title: Texts in Applied Mathematics; Analytical and Computational Methods of Advanced Engineering Mathematics
Publisher: Springer; Springer US
733 Pages
Publishing year: 2012-12-06
New York; NY; US
Language: English
55,00 € (DE)

EA; E107; eBook; Nonbooks, PBS / Technik/Allgemeines, Lexika; Mathematik für Ingenieure; Verstehen; Analysis; Boundary value problem; Vibration; algebra; linear algebra; linear optimization; modeling; numerical analysis; numerical methods; wave equation; C; Mathematical and Computational Engineering Applications; Applications of Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Mathematics and Statistics; Angewandte Mathematik; Mathematische Analysis, allgemein; Numerische Mathematik; BC

1 Numerical Analysis.- 1.1 The Nature of Numerical Analysis.- 1.2 Polynomial Interpolation.- 1.3 Numerical Integration and Differentiation.- 1.4 Solution of Equations.- 1.5 Inverse Functions.- 1.6 Implicit Functions.- 1.7 Numerical Summation of Infinite Series.- 2 Ordinary Differential Equations of First Order.- 2.1 The Nature of Differential Equations.- 2.2 Separable Equations.- 2.3 Linear First-Order Equations.- 2.4 Exact Equations.- 2.5 Applications to Some Second-Order Equations.- 2.6 The Initial Value Problem.- 2.7 Numerical Methods for the Initial Value Problem.- 3 Ordinary Differential Equations of Higher Order.- 3.1 Examples from Engineering and Physics.- 3.2 Linear Second-Order Equations — Structure of Solutions.- 3.3 Linear Second-Order Equations with Constant Coefficients.- 3.4 Linear Second-Order Equations with Analytic Coefficients.- 3.5 Numerical Methods for Second-Order Equations.- 3.6 Linear Equations of Order n > 2.- 4 The Laplace Transform.- 4.1 The Nature of the Laplace Transform.- 4.2 The Laplace Transforms of Some Elementary Functions.- 4.3 Operational Rules for the Laplace Transform.- 4.4 Applications to Differential Equations.- 4.5 Applications to Systems of Differential Equations.- 5 Linear Algebra.- 5.1 Systems of Linear Equations.- 5.2 The Gauss Elimination Method.- 5.3 Vector Spaces.- 5.4 Matrices and Matrix Algebra.- 5.5 The Fundamental Theorem of Linear Algebra.- 5.6 Determinants and Cramer’s Rule.- 5.7 Eigenvalues and Eigenvectors.- 6 Vector Analysis.- 6.1 Vector Algebra.- 6.2 Vector Calculus of Curves in Space.- 6.3 Vector Calculus of Surfaces in Space.- 6.4 Calculus of Scalar and Vector Fields.- 6.5 Integral Theorems of Vector Calculus.- 6.6 X-Ray Diffraction and Crystal Structure.- 7 Partial Differential Equations of MathematicalPhysics.- 7.1 Vibrating Strings: D’Alembert’s Wave Equation.- 7.2 Heat Diffusion in Rods: Fourier’s Heat Equation.- 7.3 Heat Diffusion in Plates.- 7.4 Steady-State Heat Diffusion in Plates: The Laplace Equation.- 7.5 Vibrations of Drums.- 7.6 Heat Diffusion in Solids.- 7.7 Steady-State Heat Diffusion in Solids.- 8 Fourier Analysis and Sturm-Liouville Theory.- 1 Fourier Series.- II Fourier Integrals.- III Sturm-Liouville Theory.- 9 Boundary Value Problems of Mathematical Physics.- 9.1 Heat Diffusion in One Dimension.- 9.2 Vibration of Strings and Traveling Waves.- 9.3 Steady-State Diffusion of Heat in Plates.- 9.4 Transient Diffusion of Heat in Plates.- 9.5 Vibrations of Drums.- 9.6 Steady-State Diffusion of Heat in Solids.- 9.7 The Laplace Transform Method.- Appendix: Answers and Hints to Selected Exercises.- References.
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