Mathematical Physics Ii

Author : Enrico De Micheli
Publisher : MDPI
Page : 182 pages
File Size : 45,8 Mb
Release : 2020-12-15
Category : Mathematics
ISBN : 9783039434954

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Mathematical Physics II by Enrico De Micheli Pdf

The charm of Mathematical Physics resides in the conceptual difficulty of understanding why the language of Mathematics is so appropriate to formulate the laws of Physics and to make precise predictions. Citing Eugene Wigner, this “unreasonable appropriateness of Mathematics in the Natural Sciences” emerged soon at the beginning of the scientific thought and was splendidly depicted by the words of Galileo: “The grand book, the Universe, is written in the language of Mathematics.” In this marriage, what Bertrand Russell called the supreme beauty, cold and austere, of Mathematics complements the supreme beauty, warm and engaging, of Physics. This book, which consists of nine articles, gives a flavor of these beauties and covers an ample range of mathematical subjects that play a relevant role in the study of physics and engineering. This range includes the study of free probability measures associated with p-adic number fields, non-commutative measures of quantum discord, non-linear Schrödinger equation analysis, spectral operators related to holomorphic extensions of series expansions, Gibbs phenomenon, deformed wave equation analysis, and optimization methods in the numerical study of material properties.

Author : Enrico De Micheli
Publisher : Unknown
Page : 182 pages
File Size : 54,5 Mb
Release : 2020
Category : Electronic
ISBN : 3039434969

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Mathematical Physics II. by Enrico De Micheli Pdf

The charm of Mathematical Physics resides in the conceptual difficulty of understanding why the language of Mathematics is so appropriate to formulate the laws of Physics and to make precise predictions. Citing Eugene Wigner, this “unreasonable appropriateness of Mathematics in the Natural Sciences” emerged soon at the beginning of the scientific thought and was splendidly depicted by the words of Galileo: “The grand book, the Universe, is written in the language of Mathematics.” In this marriage, what Bertrand Russell called the supreme beauty, cold and austere, of Mathematics complements the supreme beauty, warm and engaging, of Physics. This book, which consists of nine articles, gives a flavor of these beauties and covers an ample range of mathematical subjects that play a relevant role in the study of physics and engineering. This range includes the study of free probability measures associated with p-adic number fields, non-commutative measures of quantum discord, non-linear Schrödinger equation analysis, spectral operators related to holomorphic extensions of series expansions, Gibbs phenomenon, deformed wave equation analysis, and optimization methods in the numerical study of material properties.

Author : Richard Courant,David Hilbert
Publisher : John Wiley & Sons
Page : 852 pages
File Size : 45,6 Mb
Release : 2008-09-26
Category : Science
ISBN : 9783527617241

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Methods of Mathematical Physics by Richard Courant,David Hilbert Pdf

Since the first volume of this work came out in Germany in 1937, this book, together with its first volume, has remained standard in the field. Courant and Hilbert's treatment restores the historically deep connections between physical intuition and mathematical development, providing the reader with a unified approach to mathematical physics. The present volume represents Richard Courant's final revision of 1961.

Author : R.D. Richtmyer
Publisher : Springer Science & Business Media
Page : 332 pages
File Size : 44,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642510762

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Principles of Advanced Mathematical Physics by R.D. Richtmyer Pdf

Author : R Courant
Publisher : Unknown
Page : 0 pages
File Size : 47,7 Mb
Release : 1962
Category : Electronic
ISBN : OCLC:1427241080

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Methods of Mathematical Physics II. Partial Differential Equations by R Courant Pdf

Author : Peter Szekeres
Publisher : Cambridge University Press
Page : 620 pages
File Size : 45,7 Mb
Release : 2004-12-16
Category : Mathematics
ISBN : 0521829607

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A Course in Modern Mathematical Physics by Peter Szekeres Pdf

This textbook, first published in 2004, provides an introduction to the major mathematical structures used in physics today.

Author : Sadri Hassani
Publisher : Springer Science & Business Media
Page : 1052 pages
File Size : 52,5 Mb
Release : 2002-02-08
Category : Science
ISBN : 0387985794

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Mathematical Physics by Sadri Hassani Pdf

For physics students interested in the mathematics they use, and for math students interested in seeing how some of the ideas of their discipline find realization in an applied setting. The presentation strikes a balance between formalism and application, between abstract and concrete. The interconnections among the various topics are clarified both by the use of vector spaces as a central unifying theme, recurring throughout the book, and by putting ideas into their historical context. Enough of the essential formalism is included to make the presentation self-contained.

Author : Michael Reed,Barry Simon
Publisher : Elsevier
Page : 361 pages
File Size : 43,5 Mb
Release : 1975-11-05
Category : Mathematics
ISBN : 9780080925370

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II: Fourier Analysis, Self-Adjointness by Michael Reed,Barry Simon Pdf

This volume will serve several purposes: to provide an introduction for graduate students not previously acquainted with the material, to serve as a reference for mathematical physicists already working in the field, and to provide an introduction to various advanced topics which are difficult to understand in the literature. Not all the techniques and application are treated in the same depth. In general, we give a very thorough discussion of the mathematical techniques and applications in quatum mechanics, but provide only an introduction to the problems arising in quantum field theory, classical mechanics, and partial differential equations. Finally, some of the material developed in this volume will not find applications until Volume III. For all these reasons, this volume contains a great variety of subject matter. To help the reader select which material is important for him, we have provided a "Reader's Guide" at the end of each chapter.

Author : Gerd Rudolph,Matthias Schmidt
Publisher : Springer Science & Business Media
Page : 766 pages
File Size : 44,5 Mb
Release : 2012-11-09
Category : Science
ISBN : 9789400753457

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Differential Geometry and Mathematical Physics by Gerd Rudolph,Matthias Schmidt Pdf

Starting from an undergraduate level, this book systematically develops the basics of • Calculus on manifolds, vector bundles, vector fields and differential forms, • Lie groups and Lie group actions, • Linear symplectic algebra and symplectic geometry, • Hamiltonian systems, symmetries and reduction, integrable systems and Hamilton-Jacobi theory. The topics listed under the first item are relevant for virtually all areas of mathematical physics. The second and third items constitute the link between abstract calculus and the theory of Hamiltonian systems. The last item provides an introduction to various aspects of this theory, including Morse families, the Maslov class and caustics. The book guides the reader from elementary differential geometry to advanced topics in the theory of Hamiltonian systems with the aim of making current research literature accessible. The style is that of a mathematical textbook,with full proofs given in the text or as exercises. The material is illustrated by numerous detailed examples, some of which are taken up several times for demonstrating how the methods evolve and interact.

Author : R. D. Richtmyer
Publisher : Unknown
Page : 336 pages
File Size : 54,5 Mb
Release : 1981-11-01
Category : Electronic
ISBN : 3642510779

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Principles of Advanced Mathematical Physics II by R. D. Richtmyer Pdf

Author : Frederick W. Byron,Robert W. Fuller
Publisher : Courier Corporation
Page : 674 pages
File Size : 52,7 Mb
Release : 2012-04-26
Category : Science
ISBN : 9780486135069

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Mathematics of Classical and Quantum Physics by Frederick W. Byron,Robert W. Fuller Pdf

Graduate-level text offers unified treatment of mathematics applicable to many branches of physics. Theory of vector spaces, analytic function theory, theory of integral equations, group theory, and more. Many problems. Bibliography.

Author : Walter Thirring
Publisher : Springer
Page : 270 pages
File Size : 51,8 Mb
Release : 2014-07-08
Category : Science
ISBN : 9781441987624

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A Course in Mathematical Physics 2 by Walter Thirring Pdf

In the past decade the language and methods ofmodern differential geometry have been increasingly used in theoretical physics. What seemed extravagant when this book first appeared 12 years ago, as lecture notes, is now a commonplace. This fact has strengthened my belief that today students of theoretical physics have to learn that language-and the sooner the better. Afterall, they willbe the professors ofthe twenty-first century and it would be absurd if they were to teach then the mathematics of the nineteenth century. Thus for this new edition I did not change the mathematical language. Apart from correcting some mistakes I have only added a section on gauge theories. In the last decade it has become evident that these theories describe fundamental interactions, and on the classical level their structure is suffi cientlyclear to qualify them for the minimum amount ofknowledge required by a theoretician. It is with much regret that I had to refrain from in corporating the interesting developments in Kaluza-Klein theories and in cosmology, but I felt bound to my promise not to burden the students with theoretical speculations for which there is no experimental evidence. I am indebted to many people for suggestions concerning this volume. In particular, P. Aichelburg, H. Rumpf and H. Urbantke have contributed generously to corrections and improvements. Finally, I would like to thank Dr. 1. Dahl-Jensen for redoing some of the figures on the computer.

Author : Boris Mikhaĭlovich Budak
Publisher : Unknown
Page : 792 pages
File Size : 50,6 Mb
Release : 1964
Category : Differential equations, Partial
ISBN : UOM:39015017194955

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A Collection of Problems on Mathematical Physics by Boris Mikhaĭlovich Budak Pdf

Author : A. N. Tikhonov,A. A. Samarskii
Publisher : Courier Corporation
Page : 802 pages
File Size : 40,7 Mb
Release : 2013-09-16
Category : Mathematics
ISBN : 9780486173368

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Equations of Mathematical Physics by A. N. Tikhonov,A. A. Samarskii Pdf

Mathematical physics plays an important role in the study of many physical processes — hydrodynamics, elasticity, and electrodynamics, to name just a few. Because of the enormous range and variety of problems dealt with by mathematical physics, this thorough advanced undergraduate- or graduate-level text considers only those problems leading to partial differential equations. Contents: I. Classification of Partial Differential Equations II. Evaluations of the Hyperbolic Type III. Equations of the Parabolic Type IV. Equations of Elliptic Type V. Wave Propagation in Space VI. Heat Conduction in Space VII. Equations of Elliptic Type (Continuation) The authors — two well-known Russian mathematicians — have focused on typical physical processes and the principal types of equations dealing with them. Special attention is paid throughout to mathematical formulation, rigorous solutions, and physical interpretation of the results obtained. Carefully chosen problems designed to promote technical skills are contained in each chapter, along with extremely useful appendixes that supply applications of solution methods described in the main text. At the end of the book, a helpful supplement discusses special functions, including spherical and cylindrical functions.

Author : Francis Bitter
Publisher : Courier Corporation
Page : 210 pages
File Size : 53,6 Mb
Release : 2004-01-01
Category : Mathematics
ISBN : 9780486435015

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Mathematical Physics by Francis Bitter Pdf

Reader-friendly guide offers illustrative examples of the rules of physical science and how they were formulated. Topics include the role of mathematics as the language of physics; nature of mechanical vibrations; harmonic motion and shapes; geometry of the laws of motion; more. 60 figures. 1963 edition.