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Lectures on Selected Topics in Mathematical Physics: Elliptic Functions and Elliptic Integrals, Schwalm William a.


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Автор: Schwalm William a.
Название:  Lectures on Selected Topics in Mathematical Physics: Elliptic Functions and Elliptic Integrals
ISBN: 9781643278056
Издательство: Mare Nostrum (Eurospan)
Классификация:
ISBN-10: 1643278053
Обложка/Формат: Hardcover
Страницы: 67
Вес: 0.34 кг.
Дата издания: 31.12.2015
Серия: Iop concise physics
Язык: English
Размер: 25.40 x 17.78 x 0.64 cm
Читательская аудитория: Undergraduate
Подзаголовок: Elliptic functions and elliptic integrals
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Поставляется из: Англии
Описание: This volume is a basic introduction to certain aspects of elliptic functions and elliptic integrals. Primarily, the elliptic functions stand out as closed solutions to a class of physical and geometrical problems giving rise to nonlinear differential equations. While these nonlinear equations may not be the types of greatest interest currently, the fact that they are solvable exactly in terms of functions about which much is known makes up for this. The elliptic functions of Jacobi, or equivalently the Weierstrass elliptic functions, inhabit the literature on current problems in condensed matter and statistical physics, on solitons and conformal representations, and all sorts of famous problems in classical mechanics. The lectures on elliptic functions have evolved as part of the first semester of a course on theoretical and mathematical methods given to first and second year graduate students in physics and chemistry at the University of North Dakota. They are for graduate students or for researchers who want an elementary introduction to the subject that nevertheless leaves them with enough of the details to address real problems. The style is supposed to be informal. The intention is to introduce the subject as a moderate extension of ordinary trigonometry in which the reference circle is replaced by an ellipse. This entre depends upon fewer tools and has seemed less intimidating that other typical introductions to the subject that depend on some knowledge of complex variables. The first three lectures assume only calculus, including the chain rule and elementary knowledge of differential equations. In the later lectures, the complex analytic properties are introduced naturally so that a more complete study becomes possible.


Path Integrals For Pedestrians

Автор: Gozzi Ennio Et Al
Название: Path Integrals For Pedestrians
ISBN: 9814603937 ISBN-13(EAN): 9789814603935
Издательство: World Scientific Publishing
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Цена: 4435.00 р.
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Описание: This book serves as a pedagogical tool to teach path integrals to students and provide work-out problems.

Path Integrals and Hamiltonians

Автор: Baaquie
Название: Path Integrals and Hamiltonians
ISBN: 1107009790 ISBN-13(EAN): 9781107009790
Издательство: Cambridge Academ
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Цена: 21384.00 р.
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Описание: A succinct introduction to the powerful and flexible combination of Hamiltonian operators and path integrals in quantum mathematics, with a practical emphasis on methodological and mathematical aspects. Essential reading for researchers and graduate students in physics, and engineers whose work touches on quantum mechanics.

Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory

Автор: Johannes Bl?mlein; Carsten Schneider; Peter Paule
Название: Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory
ISBN: 3030044793 ISBN-13(EAN): 9783030044794
Издательство: Springer
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Цена: 30745.00 р.
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Описание: This book includes review articles in the field of elliptic integrals, elliptic functions and modular forms intending to foster the discussion between theoretical physicists working on higher loop calculations and mathematicians working in the field of modular forms and functions and analytic solutions of higher order differential and difference equations.

Mathematical Feynman Path Integrals And Their Applications (Second Revised And Enlarged Edition)

Автор: Sonia Mazzucchi
Название: Mathematical Feynman Path Integrals And Their Applications (Second Revised And Enlarged Edition)
ISBN: 9811214786 ISBN-13(EAN): 9789811214783
Издательство: World Scientific Publishing
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Цена: 11088.00 р.
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Описание: Feynman path integrals are ubiquitous in quantum physics, even if a large part of the scientific community still considers them as a heuristic tool that lacks a sound mathematical definition. Our book aims to refute this prejudice, providing an extensive and self-contained description of the mathematical theory of Feynman path integration, from the earlier attempts to the latest developments, as well as its applications to quantum mechanics.This second edition presents a detailed discussion of the general theory of complex integration on infinite dimensional spaces, providing on one hand a unified view of the various existing approaches to the mathematical construction of Feynman path integrals and on the other hand a connection with the classical theory of stochastic processes. Moreover, new chapters containing recent applications to several dynamical systems have been added.This book bridges between the realms of stochastic analysis and the theory of Feynman path integration. It is accessible to both mathematicians and physicists.

Path Integrals For Pedestrians

Автор: Gozzi Ennio Et Al
Название: Path Integrals For Pedestrians
ISBN: 9814603929 ISBN-13(EAN): 9789814603928
Издательство: World Scientific Publishing
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Цена: 7603.00 р.
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Описание: This is a book on path integrals which provides a quick and swift description of the topic. It contains original material that never before has appeared in a book. The new topics include the path integrals for the Wigner functions and for Classical Mechanics.

Path Integrals, Hyperbolic Spaces and Selberg Trace Formulae

Автор: Grosche Christian
Название: Path Integrals, Hyperbolic Spaces and Selberg Trace Formulae
ISBN: 9814460079 ISBN-13(EAN): 9789814460071
Издательство: World Scientific Publishing
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Цена: 19800.00 р.
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Описание: In this second edition, a comprehensive review is given for path integration in two- and three-dimensional (homogeneous) spaces of constant and non-constant curvature, including an enumeration of all the corresponding coordinate systems which allow separation of variables in the Hamiltonian and in the path integral. The corresponding path integral solutions are presented as a tabulation. Proposals concerning interbasis expansions for spheroidal coordinate systems are also given. In particular, the cases of non-constant curvature Darboux spaces are new in this edition.The volume also contains results on the numerical study of the properties of several integrable billiard systems in compact domains (i.e. rectangles, parallelepipeds, circles and spheres) in two- and three-dimensional flat and hyperbolic spaces. In particular, the discussions of integrable billiards in circles and spheres (flat and hyperbolic spaces) and in three dimensions are new in comparison to the first edition.In addition, an overview is presented on some recent achievements in the theory of the Selberg trace formula on Riemann surfaces, its super generalization, their use in mathematical physics and string theory, and some further results derived from the Selberg (super-) trace formula.

Volume and Surface Integrals Used in Physics

Автор: Leathem
Название: Volume and Surface Integrals Used in Physics
ISBN: 1107493811 ISBN-13(EAN): 9781107493810
Издательство: Cambridge Academ
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Цена: 3008.00 р.
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Описание: First published in 1913, as the second edition of a 1905 original, this book is the first volume in the Cambridge Tracts in Mathematics and Mathematical Physics Series. The text provides a concise account regarding volume and surface integrals used in physics.

Invariant Integrals in Physics

Автор: Genady P. Cherepanov
Название: Invariant Integrals in Physics
ISBN: 3030283364 ISBN-13(EAN): 9783030283360
Издательство: Springer
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Цена: 15372.00 р.
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Описание: In this book, all physical laws are derived from a small number of invariant integrals which express the conservation of energy, mass, or momentum. This new approach allows us to unify the laws of theoretical physics, to simplify their derivation, and to discover some novel or more universal laws. Newton's Law of gravity is generalized to take into account cosmic forces of repulsion, Archimedes' principle of buoyancy is modified for account of the surface tension, and Coulomb's Laws for rolling friction and for the interaction of electric charges are substantially repaired and generalized. For postgraduate students, lecturers and researchers.

Invariant Integrals in Physics

Автор: Cherepanov Genady P.
Название: Invariant Integrals in Physics
ISBN: 3030283399 ISBN-13(EAN): 9783030283391
Издательство: Springer
Цена: 13974.00 р.
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Описание: Newton`s Law of gravity is generalized to take into account cosmic forces of repulsion, Archimedes` principle of buoyancy is modified for account of the surface tension, and Coulomb`s Laws for rolling friction and for the interaction of electric charges are substantially repaired and generalized.

Lectures on Selected Topics in Mathematical Physics: Further Applications of Lie Theory

Автор: William A. Schwalm
Название: Lectures on Selected Topics in Mathematical Physics: Further Applications of Lie Theory
ISBN: 1643273477 ISBN-13(EAN): 9781643273471
Издательство: Mare Nostrum (Eurospan)
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Цена: 6930.00 р.
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Описание: Focuses on Lie groups. Lie algebras and generating functions, both for standard special functions and for solution of certain types of physical problems. This is an informal treatment of these topics intended for physics graduate students or others wanting an informal introduction to the subjects addressed.

Lectures on Selected Topics in Mathematical Physics: Further Applications of Lie Theory

Автор: William A. Schwalm
Название: Lectures on Selected Topics in Mathematical Physics: Further Applications of Lie Theory
ISBN: 1643273515 ISBN-13(EAN): 9781643273518
Издательство: Mare Nostrum (Eurospan)
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Цена: 10118.00 р.
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Описание: This book is a sequel to Lectures on Selected Topics in Mathematical Physics: Introduction to Lie Theory with Applications . This volume is devoted mostly to Lie groups. Lie algebras and generating functions, both for standard special functions and for solution of certain types of physical problems. It is an informal treatment of these topics intended for physics graduate students or others with a physics background wanting a brief and informal introduction to the subjects addressed in a style and vocabulary not completely unfamiliar.

Lectures on Selected Topics in Mathematical Physics: Introduction to Lie Theory with Applications

Автор: William A. Schwalm
Название: Lectures on Selected Topics in Mathematical Physics: Introduction to Lie Theory with Applications
ISBN: 1681744481 ISBN-13(EAN): 9781681744483
Издательство: Mare Nostrum (Eurospan)
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Цена: 6237.00 р.
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Описание: This book provides an introduction to Lie Theory for first year graduate students and professional physicists who may not have across the theory in their studies. In particular, it is a summary overview of the theory of finite groups, a brief description of a manifold, and then an informal development of the theory of one-parameter Lie groups, especially as they apply to ordinary differential equations. The treatment is informal, but systematic and reasonably self-contained, as it assumes a familiarity with basic physics and applied calculus, but it does not assume additional mathematical training. Interested readers should have a fair chance of finding symmetries of a second order differential equation and should be able to use it to reduce the order of the differential equation.


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