Clear and engaging introduction for graduate students in engineering and the physical sciences to essential topics of applied mathematics.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Thomas J. Pence has taught at Michigan State University since 1986. His research in theoretical solid mechanics involves broad aspects of material modeling and structural stability, especially for soft highly deformable materials. A current focus is on the topic of nonlinear elastic and porous media as it relates to biological tissue growth and remodeling. Dr. Pence is active on the editorial boards of The Journal of Elasticity, The International Journal of Solids and Structures, and The Journal of Mechanics of Materials and Structures. He currently serves on the US National Committee for Theoretical and Applied Mechanics and was the organizer of the 2014 US National Congress on Theoretical and Applied Mechanics.
Inhaltsangabe
Part I. Linear Algebra: 1. Linear algebra and finite dimensional vector spaces 2. Linear transformations 3. Application to systems of equations 4. The spectrum of eigenvalues Part II. Complex Variables: 5. Basic concepts: 6. Analytic functions of a complex variable 7. The Cauchy integral theorems 8. Series expansions and contour integration Part III. Partial Differential Equations: 9. Linear partial differential equations 10. Linear ordinary differential equations 11. Green's functions for ordinary differential equations 12. Poisson's equation and Green's functions 13. Combined Green's function and eigenfunction methods Bibliography Index.
Part I. Linear Algebra: 1. Linear algebra and finite dimensional vector spaces 2. Linear transformations 3. Application to systems of equations 4. The spectrum of eigenvalues Part II. Complex Variables: 5. Basic concepts: 6. Analytic functions of a complex variable 7. The Cauchy integral theorems 8. Series expansions and contour integration Part III. Partial Differential Equations: 9. Linear partial differential equations 10. Linear ordinary differential equations 11. Green's functions for ordinary differential equations 12. Poisson's equation and Green's functions 13. Combined Green's function and eigenfunction methods Bibliography Index.
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