Variational Principles in Dynamics and Quantum Theory PDF Download
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Author: Wolfgang Yourgrau
Publisher: Courier Corporation
ISBN: 0486151131
Category : Science
Languages : en
Pages : 222
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Book Description
DIVHistorical, theoretical survey with many insights, much hard-to-find material. Hamilton’s principle, Hamilton-Jacobi equation, etc. /div
Author: Wolfgang Yourgrau
Publisher: Courier Corporation
ISBN: 0486151131
Category : Science
Languages : en
Pages : 222
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Book Description
DIVHistorical, theoretical survey with many insights, much hard-to-find material. Hamilton’s principle, Hamilton-Jacobi equation, etc. /div
Author: Greenwood Donald T
Publisher:
ISBN: 9780876925386
Category :
Languages : en
Pages : 552
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Book Description
Author: Richard Wormell
Publisher:
ISBN:
Category : Dynamics
Languages : en
Pages : 282
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Book Description
Author: Mikhail I. Rabinovich
Publisher: MIT Press
ISBN: 0262549905
Category : Medical
Languages : en
Pages : 371
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Book Description
Experimental and theoretical approaches to global brain dynamics that draw on the latest research in the field. The consideration of time or dynamics is fundamental for all aspects of mental activity—perception, cognition, and emotion—because the main feature of brain activity is the continuous change of the underlying brain states even in a constant environment. The application of nonlinear dynamics to the study of brain activity began to flourish in the 1990s when combined with empirical observations from modern morphological and physiological observations. This book offers perspectives on brain dynamics that draw on the latest advances in research in the field. It includes contributions from both theoreticians and experimentalists, offering an eclectic treatment of fundamental issues. Topics addressed range from experimental and computational approaches to transient brain dynamics to the free-energy principle as a global brain theory. The book concludes with a short but rigorous guide to modern nonlinear dynamics and their application to neural dynamics.
Author: J.L. Lagrange
Publisher: Springer Science & Business Media
ISBN: 9401589038
Category : Science
Languages : en
Pages : 634
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Book Description
The Mécanique analytique presents a comprehensive account of Lagrangian mechanics. In this work, Lagrange used the Principle of Virtual Work in conjunction with the Lagrangian Multiplier to solve all problems of statics. For the treatment of dynamics, a third concept had to be added to the first two - d'Alembert's Principle - in order to develop the Lagrangian equations of motion. Hence, Lagrange was able to unify the entire science of mechanics using only three concepts and algebraic operations.
Author: Karl Friedrich Siburg
Publisher: Springer Science & Business Media
ISBN: 9783540219446
Category : Computers
Languages : en
Pages : 148
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Book Description
New variational methods by Aubry, Mather, and Mane, discovered in the last twenty years, gave deep insight into the dynamics of convex Lagrangian systems. This book shows how this Principle of Least Action appears in a variety of settings (billiards, length spectrum, Hofer geometry, modern symplectic geometry). Thus, topics from modern dynamical systems and modern symplectic geometry are linked in a new and sometimes surprising way. The central object is Mather’s minimal action functional. The level is for graduate students onwards, but also for researchers in any of the subjects touched in the book.
Author: Richard Wormell
Publisher:
ISBN:
Category :
Languages : en
Pages : 272
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Book Description
Author: John William Nystrom
Publisher:
ISBN:
Category : Dynamics
Languages : en
Pages : 90
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Book Description
Author: James H. Williams, Jr.
Publisher: MIT Press
ISBN: 0262039710
Category : Technology & Engineering
Languages : en
Pages : 885
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Book Description
An introductory engineering textbook by an award-winning MIT professor that covers the history of dynamics and the dynamical analyses of mechanical, electrical, and electromechanical systems. This introductory textbook offers a distinctive blend of the modern and the historical, seeking to encourage an appreciation for the history of dynamics while also presenting a framework for future learning. The text presents engineering mechanics as a unified field, emphasizing dynamics but integrating topics from other disciplines, including design and the humanities. The book begins with a history of mechanics, suitable for an undergraduate overview. Subsequent chapters cover such topics as three-dimensional kinematics; the direct approach, also known as vectorial mechanics or the momentum approach; the indirect approach, also called lagrangian dynamics or variational dynamics; an expansion of the momentum and lagrangian formulations to extended bodies; lumped-parameter electrical and electromagnetic devices; and equations of motion for one-dimensional continuum models. The book is noteworthy in covering both lagrangian dynamics and vibration analysis. The principles covered are relatively few and easy to articulate; the examples are rich and broad. Summary tables, often in the form of flowcharts, appear throughout. End-of-chapter problems begin at an elementary level and become increasingly difficult. Appendixes provide theoretical and mathematical support for the main text.
Author: Donald T. Greenwood
Publisher: Prentice Hall
ISBN:
Category : Science
Languages : en
Pages : 534
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Book Description
