Category: Mathematical Physics

Download E-books Noise-Induced Phenomena in Slow-Fast Dynamical Systems: A Sample-Paths Approach (Probability and Its Applications) PDF

By Nils Berglund

Stochastic Differential Equations became more and more vital in modelling advanced structures in physics, chemistry, biology, climatology and different fields.  This booklet examines and gives platforms for practitioners to exploit, and gives a couple of case experiences to teach how they could paintings in perform.

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Download E-books Random Processes in Physics and Finance (Oxford Finance) PDF

By Wei Cai, Min Xu

This article is geared toward pros and scholars engaged on random tactics in numerous parts, together with physics and finance. the 1st writer, Melvin Lax (1922-2002), used to be a extraordinary Professor of Physics at urban university of recent York and a member of the U. S. nationwide Academy of Sciences, well known for his contribution on random methods in physics. so much chapters of this e-book are the end result of the category notes which Lax taught on the urban collage of recent York from 1985 to 2001. the fabric is exclusive because it provides the theoretical framework of Lax's remedy of random methods, ranging from simple likelihood concept, to Fokker-Planck and Langevin procedures, and comprises different purposes, equivalent to clarification of very slender laser width and analytical resolution of the elastic Boltzmann delivery equation. Lax's serious standpoint on arithmetic presently utilized in the monetary global can be provided during this book.

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Download E-books Labyrinth of Thought: A History of Set Theory and Its Role in Modern Mathematics PDF

"José Ferreirós has written a magisterial account of the background of set conception that's panoramic, balanced, and fascinating. not just does this e-book synthesize a lot past paintings and supply clean insights and issues of view, however it additionally contains a significant innovation, a full-fledged therapy of the emergence of the set-theoretic strategy in arithmetic from the early 19th century." --Bulletin of Symbolic good judgment (Review of first edition)

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Download E-books Para-Differential Calculus and Applications to the Cauchy Problem for Nonlinear Systems (Publications of the Scuola Normale Superiore) (v. 5) PDF

The major target is to provide on the point of novices a number of sleek instruments of micro-local research that are worthy for the mathematical learn of nonlinear partial differential equations. The center of those notes is dedicated to a presentation of the para-differential ideas, which mix a linearization process for nonlinear equations, and a symbolic calculus which mimics or extends the classical calculus of Fourier multipliers. those tools practice to many difficulties in nonlinear PDE’s resembling elliptic equations, propagation of singularities, boundary worth difficulties, shocks or boundary layers. even if, in those introductory notes, we've selected to demonstrate the idea on chosen and comparatively uncomplicated examples, which permit changing into acquainted with the suggestions. They hindrance the good posed-ness of the Cauchy challenge for platforms of nonlinear PDE's, to begin with hyperbolic platforms and secondly coupled platforms of Schrödinger equations which come up in a variety of versions of wave propagation.

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Download E-books Mathematical Physics PDF

By Shigeji Fujita

Going past normal mathematical physics textbooks via integrating the math with the linked actual content material, this publication provides mathematical issues with their purposes to physics in addition to uncomplicated physics issues associated with mathematical recommendations. it truly is geared toward first-year graduate scholars, it really is even more concise and discusses chosen subject matters in complete with out omitting any steps. It covers the mathematical abilities wanted all through universal graduate point classes in physics and contours round 450 end-of-chapter difficulties, with suggestions on hand to teachers from the Wiley web site.

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Download E-books Analytical and Canonical Formalism in Physics (Dover Phoenix Editions) PDF

This graduate-level textual content provides a single-volume research of the foundations in the back of numerous branches and their interrelationships. Compact yet far-reaching, it really is prepared in accordance with formalisms, beginning with an in depth attention of the Lagrangian sort. different themes contain canonical formalism; canonical kind of electrodynamics; Hamiltonian densities; modifications; and extra. 1959 edition.

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Download E-books Recent Advances in Differential Equations and Mathematical Physics (Contemporary Mathematics) PDF

By Ian W. Knowles

This publication brings jointly either new fabric and up to date surveys on a few subject matters in differential equations which are both at once suitable to, or heavily linked to, mathematical physics. Its subject matters comprise asymptotic formulation for the ground-state strength of fermionic fuel, renormalization principles in quantum box concept from perturbations of the unfastened Hamiltonian at the circle, $J$-self adjoint Dirac operators, spectral conception of Schrodinger operators, inverse difficulties, isoperimetric inequalities in quantum mechanics, Hardy inequalities, and non-adiabatic transitions. very good survey articles on Dirichlet-Neumann inverse difficulties on manifolds (by Uhlmann), numerical investigations linked to Laplacian eigenvalues on planar areas (by Trefethen), Snell's legislations and propagation of singularities within the wave equation (by Vasy), and random operators on tree graphs (by Aizenmann) make this booklet attention-grabbing and priceless for graduate scholars, younger mathematicians, and physicists alike.

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Download E-books Nonlinear Dispersive Waves: Asymptotic Analysis and Solitons (Cambridge Texts in Applied Mathematics) PDF

By Mark J. Ablowitz

The sector of nonlinear dispersive waves has built significantly because the paintings of Stokes, Boussinesq and Korteweg–de Vries (KdV) within the 19th century. within the Sixties, researchers constructed powerful asymptotic tools for deriving nonlinear wave equations, equivalent to the KdV equation, governing a wide category of actual phenomena that admit designated ideas together with these generally called solitons. This ebook describes the underlying approximation innovations and strategies for locating strategies to those and different equations. The options and techniques coated comprise wave dispersion, asymptotic research, perturbation conception, the tactic of a number of scales, deep and shallow water waves, nonlinear optics together with fiber optic communications, mode-locked lasers and dispersion-managed wave phenomena. so much chapters characteristic workout units, making the e-book appropriate for complex classes or for self-directed studying. Graduate scholars and researchers will locate this a great access to a thriving sector on the intersection of utilized arithmetic, engineering and actual technological know-how.

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Download E-books Variational Methods in Mathematical Physics: A Unified Approach (Texts and Monographs in Physics) PDF

By Philippe Blanchard, Erwin Bruning

This textbook is a accomplished advent to variational equipment. Its unifying element, in response to applicable recommendations of compactness, is the learn of serious issues of functionals through direct equipment. It exhibits the interactions among linear and nonlinear practical research. Addressing specifically the pursuits of physicists, the authors deal with intimately the variational difficulties of mechanics and classical box theories, writing on neighborhood linear and nonlinear boundary and eigenvalue difficulties of significant periods of nonlinear partial differential equations, and giving more moderen effects on Thomas-Fermi idea and on difficulties related to serious nonlinearities. This publication is a superb creation for college students in arithmetic and mathematical physics.

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Download E-books Mathematical Methods of Physics (2nd Edition) PDF

By Jon Mathews

This recognized textual content treats a number of crucial subject matters, ranging in trouble from uncomplicated differential equations to team thought. actual instinct, instead of rigor, is used to enhance mathematical facility, and the authors have stored the textual content at a degree in step with the desires and skills of upper-division scholars. This e-book covers topics that are usually neglected in conventional texts; for instance, records and the proper of experimental information, dispersion kin and super-convergence kin and the crowd SU(3).

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