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Author : Alexander Hamilton
Publisher :
ISBN 13 :
Total Pages : 220 pages
Book Rating : 4.3/5 (91 download)
Download or read book Hamiltonian Principles written by Alexander Hamilton and published by . This book was released on 1928 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : James Hamilton (Author of the Hamiltonian System.)
Publisher :
ISBN 13 :
Total Pages : 108 pages
Book Rating : 4.0/5 (22 download)
Download or read book The History, Principles, Practice, and Results of the Hamiltonian System. ... with Answers to the Edinburgh and Westminster Reviews; and His Public Lecture in Liverpool, on the 18th of March, 1829 .. 2nd Ed written by James Hamilton (Author of the Hamiltonian System.) and published by . This book was released on 1831 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Douglas Cline
Publisher :
ISBN 13 : 9780998837277
Total Pages : pages
Book Rating : 4.8/5 (372 download)
Download or read book Variational Principles in Classical Mechanics written by Douglas Cline and published by . This book was released on 2018-08 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Two dramatically different philosophical approaches to classical mechanics were proposed during the 17th - 18th centuries. Newton developed his vectorial formulation that uses time-dependent differential equations of motion to relate vector observables like force and rate of change of momentum. Euler, Lagrange, Hamilton, and Jacobi, developed powerful alternative variational formulations based on the assumption that nature follows the principle of least action. These variational formulations now play a pivotal role in science and engineering.This book introduces variational principles and their application to classical mechanics. The relative merits of the intuitive Newtonian vectorial formulation, and the more powerful variational formulations are compared. Applications to a wide variety of topics illustrate the intellectual beauty, remarkable power, and broad scope provided by use of variational principles in physics.The second edition adds discussion of the use of variational principles applied to the following topics:(1) Systems subject to initial boundary conditions(2) The hierarchy of related formulations based on action, Lagrangian, Hamiltonian, and equations of motion, to systems that involve symmetries.(3) Non-conservative systems.(4) Variable-mass systems.(5) The General Theory of Relativity.Douglas Cline is a Professor of Physics in the Department of Physics and Astronomy, University of Rochester, Rochester, New York.
Author : James HAMILTON (Author of the Hamiltonian System.)
Publisher :
ISBN 13 :
Total Pages : 78 pages
Book Rating : 4.0/5 (19 download)
Download or read book The History, Principles, Practice and Results of the Hamiltonian System for the Last Twelve Years; with Answers to the Edinburgh and Westminster Reviews, Etc written by James HAMILTON (Author of the Hamiltonian System.) and published by . This book was released on 1829 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Anthony Bedford
Publisher : Springer Nature
ISBN 13 : 3030903060
Total Pages : 114 pages
Book Rating : 4.0/5 (39 download)
Download or read book Hamilton’s Principle in Continuum Mechanics written by Anthony Bedford and published by Springer Nature. This book was released on 2021-12-14 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: This revised, updated edition provides a comprehensive and rigorous description of the application of Hamilton’s principle to continuous media. To introduce terminology and initial concepts, it begins with what is called the first problem of the calculus of variations. For both historical and pedagogical reasons, it first discusses the application of the principle to systems of particles, including conservative and non-conservative systems and systems with constraints. The foundations of mechanics of continua are introduced in the context of inner product spaces. With this basis, the application of Hamilton’s principle to the classical theories of fluid and solid mechanics are covered. Then recent developments are described, including materials with microstructure, mixtures, and continua with singular surfaces.
Author : Belal E. Baaquie
Publisher : Cambridge University Press
ISBN 13 : 1139867334
Total Pages : 437 pages
Book Rating : 4.1/5 (398 download)
Download or read book Path Integrals and Hamiltonians written by Belal E. Baaquie and published by Cambridge University Press. This book was released on 2014-03-27 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing a pedagogical introduction to the essential principles of path integrals and Hamiltonians, this book describes cutting-edge quantum mathematical techniques applicable to a vast range of fields, from quantum mechanics, solid state physics, statistical mechanics, quantum field theory, and superstring theory to financial modeling, polymers, biology, chemistry, and quantum finance. Eschewing use of the Schrödinger equation, the powerful and flexible combination of Hamiltonian operators and path integrals is used to study a range of different quantum and classical random systems, succinctly demonstrating the interplay between a system's path integral, state space, and Hamiltonian. With a practical emphasis on the methodological and mathematical aspects of each derivation, this is a perfect introduction to these versatile mathematical methods, suitable for researchers and graduate students in physics and engineering.
Author : Wolfgang Yourgrau
Publisher : Courier Corporation
ISBN 13 : 0486151131
Total Pages : 222 pages
Book Rating : 4.4/5 (861 download)
Download or read book Variational Principles in Dynamics and Quantum Theory written by Wolfgang Yourgrau and published by Courier Corporation. This book was released on 2012-04-26 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: DIVHistorical, theoretical survey with many insights, much hard-to-find material. Hamilton’s principle, Hamilton-Jacobi equation, etc. /div
Author : Boris A Kupershmidt
Publisher : World Scientific Publishing Company
ISBN 13 : 9813103655
Total Pages : 444 pages
Book Rating : 4.8/5 (131 download)
Download or read book The Variational Principles of Dynamics written by Boris A Kupershmidt and published by World Scientific Publishing Company. This book was released on 1992-12-31 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Given a conservative dynamical system of classical physics, how does one find a variational principle for it? Is there a canonical recipe for such a principle? The case of particle mechanics was settled by Lagrange in 1788; this text treats continuous systems. Recipes devised are algebraic in nature, and this book develops all the mathematical tools found necessary after the minute examination of the adiabatic fluid dynamics in the introduction. These tools include: Lagrangian and Hamiltonian formalisms, Legendre transforms, dual spaces of Lie algebras and associated 2-cocycles; and linearized and Z2-graded versions of all of these. The following typical physical systems, together with their Hamiltonian structures, are discussed: Classical Magnetohydro-dynamics with its Hall deformation; Multifluid Plasma; Superfluid He-4 (both irrotational and rotating) and 3He-A; Quantum fluids; Yang-Mills MHD; Spinning fluids; Spin Glass; Extended YM Plasma; A Lattice Gas. Detailed motivations, easy-to-follow arguments, open problems, and over 300 exercises help the reader. Request Inspection Copy
Author : José Rachid Mohallem
Publisher : Springer Nature
ISBN 13 : 3031552024
Total Pages : 150 pages
Book Rating : 4.0/5 (315 download)
Download or read book Lagrangian and Hamiltonian Mechanics written by José Rachid Mohallem and published by Springer Nature. This book was released on with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Angel Fierros Palacios
Publisher : Springer Science & Business Media
ISBN 13 : 3211343245
Total Pages : 426 pages
Book Rating : 4.2/5 (113 download)
Download or read book The Hamilton-Type Principle in Fluid Dynamics written by Angel Fierros Palacios and published by Springer Science & Business Media. This book was released on 2006-06-18 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book describes Fluid Dynamics, Magnetohydrodynamics, and Classical Thermodynamics as branches of Lagrange’s Analytical Mechanics. The approach presented is markedly different from the treatment given to them in traditional text books. A Hamilton-Type Variational Principle as the proper mathematical technique for the theoretical description of the dynamic state of any fluid is formulated. The scheme is completed proposing a new group of variations regarding the evolution parameter.
Author : Nancy Bradeen Spannaus
Publisher : iUniverse
ISBN 13 : 1532067550
Total Pages : 170 pages
Book Rating : 4.5/5 (32 download)
Download or read book Hamilton versus Wall Street written by Nancy Bradeen Spannaus and published by iUniverse. This book was released on 2019-02-16 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hamilton versus Wall Street delves into the life and mind of Alexander Hamilton, focusing on his impact on the economic history of the United States. The author challenges the conventional portrayal of Hamilton as merely a financier, unveiling him as a statesman whose economic policy laid the foundation for the nation's prosperity and resilience against global imperialism. The book portrays Hamilton not as a follower of the British System but as the architect of the "American System of Economics," a doctrine adopted by influential presidents like Lincoln and Roosevelt to drive the nation toward prosperity. It answers questions such as, “What were Alexander Hamilton’s beliefs on economic growth?” and, “What was Hamilton’s economic plan?” This book about Alexander Hamilton allows readers to appreciate the power of political economy in shaping the nation's history. Hamilton's revolutionary economic principles, ensuring America's true independence, are presented as vital elements of the American Revolution, inviting readers to reassess their understanding of economic theories. Praised as a “thoughtful, well-written argument for Alexander Hamilton’s financial system as a guard against tyranny.” --- Kirkus Reviews Richard Sylla, author of Alexander Hamilton: The Illustrated Biography, “In our time of crumbling infrastructure, anemic economic growth, and dysfunctional government, Spannaus points to a better path, the American System of economic policy initiated by Alexander Hamilton more than two centuries ago. ... His policies made America great, and a return to them can make America great again.” “An excellent book that for me brought clarity to several threads that made up the fabric of Hamilton’s vision of a political economy for the post-war United States, a national country and not a collection of states....” --Douglas S. Hamilton, fifth great-grandson of Alexander Hamilton “Spannaus meticulously traces the origins and describes Hamilton's system (in contrast to the Jeffersonian/British system) and shows how it resulted in the economic growth that defines American enterprise. ... This book is a definite must-read.” --David J. Kent, author of Lincoln: The Fire of Genius; President, Lincoln Group of D.C. Inspired by Hamilton's genius and humanity, the author illuminates Hamilton's revolutionary economic ideas, compellingly exploring how Hamilton's ideas have shaped the nation and continue to resonate in today's economic landscape.
Author : Alexander Hamilton
Publisher :
ISBN 13 : 9781258166830
Total Pages : 210 pages
Book Rating : 4.1/5 (668 download)
Download or read book Hamiltonian Principles written by Alexander Hamilton and published by . This book was released on 2011-10-01 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Maurice A De Gosson
Publisher : World Scientific
ISBN 13 : 9813200987
Total Pages : 423 pages
Book Rating : 4.8/5 (132 download)
Download or read book Principles Of Newtonian And Quantum Mechanics, The: The Need For Planck's Constant, H (Second Edition) written by Maurice A De Gosson and published by World Scientific. This book was released on 2016-11-10 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of this book deals, as the first, with the foundations of classical physics from the 'symplectic' point of view, and of quantum mechanics from the 'metaplectic' point of view. We have revised and augmented the topics studied in the first edition in the light of new results, and added several new sections. The Bohmian interpretation of quantum mechanics is discussed in detail. Phase space quantization is achieved using the 'principle of the symplectic camel', which is a deep topological property of Hamiltonian flows. We introduce the notion of 'quantum blob', which can be viewed as the fundamental phase space unit. The mathematical tools developed in this book are the theory of the symplectic and metaplectic group, the Maslov index in a rigorous form, and the Leray index of a pair of Lagrangian planes. The concept of the 'metatron' is introduced, in connection with the Bohmian theory of motion. The short-time behavior of the propagator is studied and applied to the quantum Zeno effect.
Author : Wolfgang Yourgrau
Publisher :
ISBN 13 :
Total Pages : 200 pages
Book Rating : 4.E/5 ( download)
Download or read book Variational Principles in Dynamics and Quantum Theory written by Wolfgang Yourgrau and published by . This book was released on 1960 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kevin W. Cassel
Publisher : Cambridge University Press
ISBN 13 : 1107022584
Total Pages : 433 pages
Book Rating : 4.1/5 (7 download)
Download or read book Variational Methods with Applications in Science and Engineering written by Kevin W. Cassel and published by Cambridge University Press. This book was released on 2013-07-22 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reflects the strong connection between calculus of variations and the applications for which variational methods form the foundation.
Author : David Yang Gao
Publisher : Springer Science & Business Media
ISBN 13 : 9780792361459
Total Pages : 476 pages
Book Rating : 4.3/5 (614 download)
Download or read book Duality Principles in Nonconvex Systems written by David Yang Gao and published by Springer Science & Business Media. This book was released on 2000-01-31 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Motivated by practical problems in engineering and physics, drawing on a wide range of applied mathematical disciplines, this book is the first to provide, within a unified framework, a self-contained comprehensive mathematical theory of duality for general non-convex, non-smooth systems, with emphasis on methods and applications in engineering mechanics. Topics covered include the classical (minimax) mono-duality of convex static equilibria, the beautiful bi-duality in dynamical systems, the interesting tri-duality in non-convex problems and the complicated multi-duality in general canonical systems. A potentially powerful sequential canonical dual transformation method for solving fully nonlinear problems is developed heuristically and illustrated by use of many interesting examples as well as extensive applications in a wide variety of nonlinear systems, including differential equations, variational problems and inequalities, constrained global optimization, multi-well phase transitions, non-smooth post-bifurcation, large deformation mechanics, structural limit analysis, differential geometry and non-convex dynamical systems. With exceptionally coherent and lucid exposition, the work fills a big gap between the mathematical and engineering sciences. It shows how to use formal language and duality methods to model natural phenomena, to construct intrinsic frameworks in different fields and to provide ideas, concepts and powerful methods for solving non-convex, non-smooth problems arising naturally in engineering and science. Much of the book contains material that is new, both in its manner of presentation and in its research development. A self-contained appendix provides some necessary background from elementary functional analysis. Audience: The book will be a valuable resource for students and researchers in applied mathematics, physics, mechanics and engineering. The whole volume or selected chapters can also be recommended as a text for both senior undergraduate and graduate courses in applied mathematics, mechanics, general engineering science and other areas in which the notions of optimization and variational methods are employed.
Author : B. L. Moiseiwitsch
Publisher : Courier Corporation
ISBN 13 : 0486150496
Total Pages : 534 pages
Book Rating : 4.4/5 (861 download)
Download or read book Variational Principles written by B. L. Moiseiwitsch and published by Courier Corporation. This book was released on 2013-02-20 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level text's primary objective is to demonstrate the expression of the equations of the various branches of mathematical physics in the succinct and elegant form of variational principles (and thereby illuminate their interrelationship). Its related intentions are to show how variational principles may be employed to determine the discrete eigenvalues for stationary state problems and to illustrate how to find the values of quantities (such as the phase shifts) that arise in the theory of scattering. Chapter-by-chapter treatment consists of analytical dynamics; optics, wave mechanics, and quantum mechanics; field equations; eigenvalue problems; and scattering theory. 1966 edition. Bibliography. Index.
