Equations in Mathematical Physics: A practical course (Modern Birkhäuser Classics) » unknownpoles.com

Equations in Mathematical Physics - A practical course.

Equations in Mathematical Physics: A practical course Modern Birkhäuser Classics 2001st Edition by Victor P. Pikulin Author, Stanislav I. Pohozaev Author, Andrei Iacob Translator & 0 more.</plaintext> Find many great new & used options and get the best deals for Modern Birkhäuser Classics Ser.: Equations in Mathematical Physics: A Practical Course by Stanislav I. Pohozaev and Victor P. Pikulin 2012, Trade Paperback at the best online prices at eBay! Free shipping for many products! A practical course. Presents main methods and tools for solving basic problems from mathematical physics. Usually dispatched within 3 to 5 business days. Many physical processes in fields such as mechanics, thermodynamics, electricity, magnetism or optics are described by means of partial differential equations.</p> <p>Many physical processes in fields such as mechanics, thermodynamics, electricity, magnetism or optics are described by means of partial differential equations. The aim of the present book is to demons. Equations in Mathematical Physics A practical course Translated by Andrei Iacob Reprint of the 2001 Edition Victor P. Pikulin† Moscow Power Engineering Institute MPEI Russia. A Practical Course in Differential Equations and Mathematical Modelling is a unique blend of the traditional methods of ordinary and partial differential equations with Lie group analysis enriched by the author's own theoretical developments.</p> <p>Evolutionary Integral Equations and Applications Modern Birkhäuser Classics By Jan Prüss This book deals with evolutionary systems whose equation of state can be formulated as a linear Volterra equation in a Banach space. The main feature of the kernels involved is. Simplicial Homotopy Theory Modern Birkhäuser Classics Book Title:Simplicial Homotopy Theory Modern Birkhäuser Classics Since the beginning of the modern era of algebraic topology, simplicial methods have been used systematically and effectively for both computation and basic theory. Such problems abound in applied mathematics, theoretical mechanics, and mathematical physics. This uncorrected soft cover reprint of the second edition places the emphasis on applications and presents a variety of techniques with extensive examples.Originally published in 1971, Linear Integral Equations is ideal as a text for a beginning.</p> <p>Translated as: "On the partial difference equations of mathematical physics," IBM Journal of Resarch and Development 11 1967, 215-234. 3. A. S. Householder, "Unitary triangularization of a nonsymmetric matrix," Journal of the Association of Computing Machinery 5 1958, 339-342. Schrödinger Equations and Diffusion Theory addresses the question “What is the Schrödinger equation?” in terms of diffusion processes, and shows that the Schrödinger equation and diffusion equations in duality are equivalent. In turn, Schrödinger’s conjecture of 1931 is solved. The theory of diffusion processes for the Schrödinger equation tells us that we must go further into the. The aim of the present book is to demontstrate the basic methods for solving the classical linear problems in mathematical physics of elliptic, parabolic and hyperbolic type. Publisher: Springer Basel ISBN: 9783034895033 Number of pages: 207 Weight: 343 g Dimensions: 235 x 155 x 12 mm. Equations Topics in Fractional Differential Equations is de Modern Birkhäuser Classics Softcover 7 approx. $69.95 ISBN 978-0-8176-8342-99<HTLIMH=gidecj> J. Awrejcewicz, Technical University of Łódź, Poland Classical Mechanics. Mathematical Physics; Mechanics; Engineering Design Target groups Graduate Discount group.</p> <p>Birkhäuser Mathematics Journals, Academic Books & Online Media Birkhäuser. Search Menu. Advanced Courses in Mathematics - CRM Barcelona. Romero i Sànchez, David Ed. ISSN: 2297-0304. Modern Birkhäuser Classics. ISSN: 2197-1803 More Information. Less Information. 20 ___, An integral equation method for solving mixed boundary value problems, SIAM J. Appl. Math. 20 1971, 642-658. 21---· Electromagnetic diffraction by a thin conducting annular disk, J. Math. Phys. 12 1971, 723-736. R.P. Kanwal, Linear Integral Equations: Theory & Technique, Modern Birkhäuser Classics. Mathematical Physics; Mathematical Methods in Physics; Operator Theory Target groups Research Product category Monograph Due March 2012 2012. X, 340 p. Progress in Mathematical Physics, Volume 62 Hardcover 7 € D 96,25 € A 98,95 sFr 120,00 7 € 89,95 £81.00 ISBN 978-0-8176-4400-09<HTLIMH=geeaaa>.</p> <h2>[PDF] Equations In Mathematical Physics A Practical Course.</h2> <p>Series: Modern Birkhäuser Classics Davis, Philip, Hersh, Reuben, Marchisotto, Elena Anne 2012 Price from 21,39 € Your Discounted Price valid through July 31, 2020. Textbooks and Online Notes. The following textbooks contain material similar to that presented in this course: M. V. Ablowitz and A. S. Fokas, Complex Variables: Introduction and Applications, Cambridge G. B. Arfken, Mathematical Methods for Physicists: A Comprehensive Guide, Academic Press G. Birkhoff and G. Rota, Ordinary Differential Equations, Wiley M. L. Boas, Mathematical Methods in the. mathematics and physics. 2008/APPROX. 320 PP., 40 ILLUS./HARDCOVER ISBN 978 0 8176 3512 1/$99.00 TENT. PROGRESS IN MATHEMATICAL PHYSICS, VOL. 50 MODERN BIRKHÄUSER CLASSICS Through the MBC Series, a select number of modern classics, entirely uncorrected, are being re-released in paperback to ensure that these treasures remain.</p> <p>Mechanics, Tensors Virtual Works is designated to be used for a first onesemester course in Mechanics at the upper undergraduate level. It is intended for third year students in mathematics, physics and engineering. Most of the text comes from this level courses that the author taught at universities and engineering schools. Nov 07, 2012 · Many physical problems that are usually solved by differential equation methods can be solved more effectively by integral equation methods. Such problems abound in applied mathematics, theoretical mechanics, and mathematical physics. This uncorrected soft cover reprint of the second edition places the emphasis on applications and presents a variety of techniques with extensive.</p> <h3>Linear Integral Equations - Theory & Technique Ram P.</h3> <p>May 13, 2020 · The main tool will be a necessary condition for complete integrability of classical Hamiltonian systems obtained by Ramis and myself [Morales-Ruiz and Ramis, Methods Appl. Anal. 8, 33–96 2001; see also Morales-Ruiz, in Differential Galois Theory and Non-Integrability of Hamiltonian Systems, Modern Birkhäuser Classics Springer, Basel, 1999. Nov 12, 2010 · Buy A Friendly Guide to Wavelets Modern Birkhäuser Classics 2011 by Kaiser, Gerald ISBN: 9780817681104 from Amazon's Book Store. Everyday low.</p><img 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