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Advanced Newtonian Rigid Dynamics

Autor Rajnikant Sinha
en Limba Engleză Hardback – oct 2023
This book discusses topics on D’Alembert’s principle, virtual work, Eulerian angles, Lagrange’s equation in generalized coordinates and motion of a top. Momental ellipsoid of a point of a rigid body and conservation principle of angular momentum are discussed in detail. This is an essential textbook on Newtonian rigid dynamics, useful for advanced undergraduate and graduate students of physics, mathematics and engineering. This book contains solutions to more than 350 examples as well as more than 350 figures, which are nicely explaining the concept of rigid dynamics. Necessary mathematics have been created at the spot where they are needed. 
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Specificații

ISBN-13: 9789819920211
ISBN-10: 9819920213
Pagini: 973
Ilustrații: IX, 973 p. 391 illus., 16 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 1.81 kg
Ediția:1st ed. 2023
Editura: Springer Nature Singapore
Colecția Springer
Locul publicării:Singapore, Singapore

Cuprins

Chapter 1. 3-D Kinematics of Rigid Bodies.- Chapter 2. D’Alembert’s Principle.- Chapter 3. Momental Ellipsoid .- Chapter 4. Motion About a Fixed Axis.- Chapter 5. Motion in Two Dimensions (Finite Forces).- Chapter 6. Impulsive forces.- Chapter 7. Motion in Three Dimensions.- Chapter 8. Conservation Principles of A.M. and Energy.


Notă biografică

Rajnikant Sinha is a former professor of Mathematics at Magadh University, Bodh Gaya, India. A passionate mathematician, Prof. Sinha has published numerous interesting research findings in international journals and three textbooks with Springer: Smooth Manifolds; Real Analysis and Complex Analysis, Vols. 1 and 2; and Galois Theory and Advanced Linear Algebra. His research focuses on topological vector spaces, differential geometry and manifolds.


Textul de pe ultima copertă

This book discusses topics on D’Alembert’s principle, virtual work, Eulerian angles, Lagrange’s equation in generalized coordinates and motion of a top. Momental ellipsoid of a point of a rigid body and conservation principle of angular momentum are discussed in detail. This is an essential textbook on Newtonian rigid dynamics, useful for advanced undergraduate and graduate students of physics, mathematics and engineering. This book contains solutions to more than 350 examples as well as more than 350 figures, which are nicely explaining the concept of rigid dynamics. Necessary mathematics have been created at the spot where they are needed. 

Caracteristici

Discusses topics on D'Alembert's principle, virtual work, and Eulerian angles
Explains momental ellipsoid of a point of a rigid body and conservation principle of angular momentum
Contains solutions to more than 350 powerful problems as well as more than 350 figures