An Introduction to Hamiltonian Optics PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download An Introduction to Hamiltonian Optics PDF full book. Access full book title An Introduction to Hamiltonian Optics by H. A. Buchdahl. Download full books in PDF and EPUB format.
Author: H. A. Buchdahl
Publisher: Courier Corporation
ISBN: 9780486675978
Category : Science
Languages : en
Pages : 392
Get Book
Book Description
Accessible study provides detailed account of the Hamiltonian treatment of aberration theory in geometrical optics. Many classes of optical systems defined in terms of their symmetries. Detailed solutions. 1970 edition.
Author: H. A. Buchdahl
Publisher: Courier Corporation
ISBN: 9780486675978
Category : Science
Languages : en
Pages : 392
Get Book
Book Description
Accessible study provides detailed account of the Hamiltonian treatment of aberration theory in geometrical optics. Many classes of optical systems defined in terms of their symmetries. Detailed solutions. 1970 edition.
Author: Kenneth R. Meyer
Publisher: Springer
ISBN: 3319536915
Category : Mathematics
Languages : en
Pages : 384
Get Book
Book Description
This third edition text provides expanded material on the restricted three body problem and celestial mechanics. With each chapter containing new content, readers are provided with new material on reduction, orbifolds, and the regularization of the Kepler problem, all of which are provided with applications. The previous editions grew out of graduate level courses in mathematics, engineering, and physics given at several different universities. The courses took students who had some background in differential equations and lead them through a systematic grounding in the theory of Hamiltonian mechanics from a dynamical systems point of view. This text provides a mathematical structure of celestial mechanics ideal for beginners, and will be useful to graduate students and researchers alike. Reviews of the second edition: "The primary subject here is the basic theory of Hamiltonian differential equations studied from the perspective of differential dynamical systems. The N-body problem is used as the primary example of a Hamiltonian system, a touchstone for the theory as the authors develop it. This book is intended to support a first course at the graduate level for mathematics and engineering students. ... It is a well-organized and accessible introduction to the subject ... . This is an attractive book ... ." (William J. Satzer, The Mathematical Association of America, March, 2009) “The second edition of this text infuses new mathematical substance and relevance into an already modern classic ... and is sure to excite future generations of readers. ... This outstanding book can be used not only as an introductory course at the graduate level in mathematics, but also as course material for engineering graduate students. ... it is an elegant and invaluable reference for mathematicians and scientists with an interest in classical and celestial mechanics, astrodynamics, physics, biology, and related fields.” (Marian Gidea, Mathematical Reviews, Issue 2010 d)
Author: Alfredo M. Ozorio de Almeida
Publisher: Cambridge University Press
ISBN: 9780521386708
Category : Mathematics
Languages : en
Pages : 262
Get Book
Book Description
Hamiltonian Systems outlines the main results in the field, and considers the implications for quantum mechanics.
Author: William R. Nester
Publisher: Potomac Books, Inc.
ISBN: 1597978833
Category : Biography & Autobiography
Languages : en
Pages : 291
Get Book
Book Description
The creation of American diplomacy and power as an art
Author: David Morin
Publisher: Cambridge University Press
ISBN: 1139468375
Category : Science
Languages : en
Pages : 713
Get Book
Book Description
This textbook covers all the standard introductory topics in classical mechanics, including Newton's laws, oscillations, energy, momentum, angular momentum, planetary motion, and special relativity. It also explores more advanced topics, such as normal modes, the Lagrangian method, gyroscopic motion, fictitious forces, 4-vectors, and general relativity. It contains more than 250 problems with detailed solutions so students can easily check their understanding of the topic. There are also over 350 unworked exercises which are ideal for homework assignments. Password protected solutions are available to instructors at www.cambridge.org/9780521876223. The vast number of problems alone makes it an ideal supplementary text for all levels of undergraduate physics courses in classical mechanics. Remarks are scattered throughout the text, discussing issues that are often glossed over in other textbooks, and it is thoroughly illustrated with more than 600 figures to help demonstrate key concepts.
Author: Henry Cabot Lodge
Publisher: Boston : Houghton, Mifflin
ISBN:
Category :
Languages : en
Pages : 348
Get Book
Book Description
Author: A.V. Bolsinov
Publisher: CRC Press
ISBN: 0203643429
Category : Mathematics
Languages : en
Pages : 752
Get Book
Book Description
Integrable Hamiltonian systems have been of growing interest over the past 30 years and represent one of the most intriguing and mysterious classes of dynamical systems. This book explores the topology of integrable systems and the general theory underlying their qualitative properties, singularites, and topological invariants. The authors,
Author: Peter Mann
Publisher: Oxford University Press
ISBN: 0192555413
Category : Science
Languages : en
Pages : 544
Get Book
Book Description
An introductory textbook exploring the subject of Lagrangian and Hamiltonian dynamics, with a relaxed and self-contained setting. Lagrangian and Hamiltonian dynamics is the continuation of Newton's classical physics into new formalisms, each highlighting novel aspects of mechanics that gradually build in complexity to form the basis for almost all of theoretical physics. Lagrangian and Hamiltonian dynamics also acts as a gateway to more abstract concepts routed in differential geometry and field theories and can be used to introduce these subject areas to newcomers. Journeying in a self-contained manner from the very basics, through the fundamentals and onwards to the cutting edge of the subject, along the way the reader is supported by all the necessary background mathematics, fully worked examples, thoughtful and vibrant illustrations as well as an informal narrative and numerous fresh, modern and inter-disciplinary applications. The book contains some unusual topics for a classical mechanics textbook. Most notable examples include the 'classical wavefunction', Koopman-von Neumann theory, classical density functional theories, the 'vakonomic' variational principle for non-holonomic constraints, the Gibbs-Appell equations, classical path integrals, Nambu brackets and the full framing of mechanics in the language of differential geometry.
Author: Chloe Northrop
Publisher: Vernon Press
ISBN: 1648894224
Category : History
Languages : en
Pages : 252
Get Book
Book Description
'The Hamilton Phenomenon' brings together a diverse group of scholars including university professors and librarians, educators at community colleges, Ph.D. candidates and independent scholars, in an exploration of the celebrated Broadway hit. When Lin-Manuel Miranda’s musical sensation erupted onto Broadway in 2015, scholars were underprepared for the impact the theatrical experience would have. Miranda’s use of rap, hip-hop, jazz, and Broadway show tunes provides the basis for this whirlwind showcase of America’s past through a reinterpretation of eighteenth-century history. Bound together by their shared interest in 'Hamilton: an American Musical', the authors in this volume diverge from a common touchstone to uncover the unique moment presented by this phenomenon. The two parts of this book feature different emerging themes, ranging from the meaning of the musical on stage, to how the musical is impacting pedagogy and teaching in the 21st century. The first part places Hamilton in the history of theatrical performances of the American Revolution, compares it with other musicals, and fleshes out the significance of postcolonial studies within theatrical performances. Esteemed scholars and educators provide the basis for the second part with insights on the efficacy, benefits, and pitfalls of teaching using Hamilton. Although other scholarly works have debated the historical accuracy of Hamilton, 'The Hamilton Phenomenon' benefits from more distance from the release of the musical, as well as the dissemination of the hit through traveling productions and the summer 2020 release on Disney+. Through critically engaging with Hamilton these authors unfold new insights on early American history, pedagogy, costume, race in theatrical performances, and the role of theatre in crafting interest in history.
Author: Konstantinos Efstathiou
Publisher: Springer
ISBN: 3540315500
Category : Science
Languages : en
Pages : 149
Get Book
Book Description
Modern notions and important tools of classical mechanics are used in the study of concrete examples that model physically significant molecular and atomic systems. The parametric nature of these examples leads naturally to the study of the major qualitative changes of such systems (metamorphoses) as the parameters are varied. The symmetries of these systems, discrete or continuous, exact or approximate, are used to simplify the problem through a number of mathematical tools and techniques like normalization and reduction. The book moves gradually from finding relative equilibria using symmetry, to the Hamiltonian Hopf bifurcation and its relation to monodromy and, finally, to generalizations of monodromy.
