R. A. Howland

Intermediate Dynamics (eBook, PDF)

A Linear Algebraic Approach

• Format: PDF

Produktbeschreibung

This book offers a complete, rigorous review of Linear Algebra, from Vector Spaces to Normal Forms. Emphasizing classical Newtonian treatment (favored by Engineers) of rigid bodies, the text also employs a more modern reliance on Linear Algebra to get inertia matrix and deal with machines. This approach allows uniform treatment of both single bodies in arbitrary axes, and "machines". Analytical dynamics-both Lagrangian and Hamiltonian formulations-are developed to admit non-conservative forces. Throughout, the importance of integrals is emphasized.

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Produktdetails

• Verlag: Springer US
• Seitenzahl: 542
• Erscheinungstermin: 27. Januar 2006
• Englisch
• ISBN-13: 9780387283166
• Artikelnr.: 43727856

Inhaltsangabe

Linear Algebra.- Prologue.- Vector Spaces.- Linear Transformations on Vector Spaces.- Special Case-Square Matrices.- Epilogue.- 3-D Rigid Body Dynamics.- Prologue.- Kinematics.- Kinetics.- Epilogue.- Analytical Dynamics.- Prologue.- Analytical Dynamics: Perspective.- Lagrangian Dynamics: Kinematics.- Lagrangian Dynamics: Kinetics.- Integrals of Motion.- Hamiltonian Dynamics.- Epilogue.

Rezensionen

From the reviews: "Howland ( Univ. Of Notre Dame) has prepared a mathematical treatment of mechanics/dynamics in three dimensions with an emphasis on linear-algebraic details. The book is well written, showing a real appreciation for the underlying mathematics. ... Summing Up: Recommended. Upper-division undergraduates through professionals." (J. D. Fehribach, Choice, Vol. 43 (10), June, 2006)