Elementary Vector Analysis (Classic Reprint): With Application to Geometry and Physics: With Application to Geometry and Physics (Classic Reprint) - Softcover
Synopsis
Master the fundamentals of vector analysis with clear, practical guidance.
This book introduces the key ideas of how vectors behave in motion and how to apply them to geometry and physics. It covers changing frames of reference, relative motion, and the math needed to describe rotations, derivatives, and integrals in a rigorous but accessible way.
You’ll find concrete developments of topics such as Coriolis’ theorem, Euler’s equations for rigid bodies, and curvature and torsion of curves. The text connects these ideas to problems in mechanics and engineering, offering a solid foundation for both theory and application.
- How to relate velocities and accelerations seen from different frames of reference
- Derivation and use of Coriolis’ theorem in dynamics
- Euler’s dynamical equations and their applications to rigid bodies
- Concepts of curvature, torsion, and the geometry of curves
Ideal for readers of physics and engineering who want a rigorous, readable treatment of vector methods and their applications.
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Elementary Vector Analysis: With Application to Geometry and Physics
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Paperback. Condition: New. Print on Demand. This book provides a clear and concise introduction to the principles of vector analysis, a powerful tool for tackling problems in geometry and mechanics. The author traces the evolution of vector analysis from its roots in the work of mathematicians like Hamilton and Grassmann, highlighting its development as a system designed to simplify complex calculations in physics and applied mathematics. The book delves into the fundamental concepts of vector addition, subtraction, and multiplication, illustrating their application to geometry through the study of straight lines, planes, spheres, and twisted curves. The author also explores the crucial role of vectors in mechanics, presenting a detailed analysis of the equations of motion for rigid bodies and a thorough explanation of centroids, including the concept of center of mass. The book's unique approach showcases how the principles of statics can be derived from the fundamental equations of dynamics, simplifying traditional methods of analysis and offering a more unified understanding of these interconnected fields. Ultimately, the book demonstrates the elegance and efficiency of vector analysis as a tool for comprehending the physical world. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781330407523_0
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Elementary Vector Analysis with Application to Geometry and Physics (Classic Reprint)
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Paperback. Condition: Brand New. 214 pages. 9.00x6.00x0.49 inches. This item is printed on demand. Seller Inventory # zk1330407520
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