Mathematics of classical and quantum physics
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Mathematics of classical and quantum physics
Frederick w By non and Robert wMATHEM?AND QUANTUMPHYSICShttps://khothu vien .comMATHEMATICS OF CLASSICALAND QUANTUM PHYSICSFREDERICK w. BYRON, JR.ANDR Mathematics of classical and quantum physics ROBERT w. FULLERTwo Volumes Bound as OneCopyright © 1969, 1970 by Frederick w. Byron, Jr., and Robert w. Fuller. All rights reserved under Pan American and International Copyright Conventions.This Dover edition, first published in 1992, is an unabridged, corrected republication of the work first pub Mathematics of classical and quantum physics lished in two volumes by the Addison-Wesley Publishing Company, Reading, Mass., 1969 (Vol. One) and 1970 (Vol. l\vo). It was originally published in tMathematics of classical and quantum physics
he “Addison-Wesley Series in Advanced Physics.”Manufactured in the United States of AmericaDover Publications, Inc., 31 East 2nd Street, Mineola, N.Y.Frederick w By non and Robert wMATHEM?AND QUANTUMPHYSICShttps://khothu vien .comMATHEMATICS OF CLASSICALAND QUANTUM PHYSICSFREDERICK w. BYRON, JR.ANDR Mathematics of classical and quantum physics ert w. Fuller.p. cm.“Unabridged, corrected republication of the work first published in two volumes by the Addison-Wesley Publishing Company, Reading, Mass., 1969 (Vol. One) and 1970 (Vol. Two) ... in the 'Addison-Wesley series in advanced physics’” —T.p. verso.Includes bibliographical references an Mathematics of classical and quantum physics d index.ISBN 0-486-67164-X (pbk.)1. Mathematical physics. 2. Quantum theory. I. Fuller, Robert w. II. Title.QC20.B9 1992To Edith and AnnPREFACEThis boMathematics of classical and quantum physics
ok is designed as a companion to the graduate level physics texts on classical mechanics, electricity, magnetism, and quantum mechanics. It grows out Frederick w By non and Robert wMATHEM?AND QUANTUMPHYSICShttps://khothu vien .comMATHEMATICS OF CLASSICALAND QUANTUM PHYSICSFREDERICK w. BYRON, JR.ANDR Mathematics of classical and quantum physics d to cover this mathematical material in a piecemeal fashion within the physics courses. The two volumes into which the book is divided correspond roughly to the two semesters of the full-year course. The consolidation of the mathematics needed for graduate physics into a single course permits a uni Mathematics of classical and quantum physics fied treatment applicable to many branches of physics. At the same time the fragments of mathematical knowledge possesed by the student can be pulledMathematics of classical and quantum physics
together and organized in a way that is especially relevant to physics. The central unifying theme about which this book is organized is the concept oFrederick w By non and Robert wMATHEM?AND QUANTUMPHYSICShttps://khothu vien .comMATHEMATICS OF CLASSICALAND QUANTUM PHYSICSFREDERICK w. BYRON, JR.ANDR Mathematics of classical and quantum physics as many problems of a physical nature.Although the book is designed as a textbook to complement the basic physics courses, it aims at something more than just equipping the physicist with the mathematical techniques he needs in courses. The mathematics used in physics has changed greatly in the last Mathematics of classical and quantum physics forty years. It is certain to change even more rapidly during the working lifetime of physicists being educated today. Thus, the physicist must haveMathematics of classical and quantum physics
an acquaintance with abstract mathematics if he is to keep up with his own field as the mathematical language in which it is expressed changes. It is Frederick w By non and Robert wMATHEM?AND QUANTUMPHYSICShttps://khothu vien .comMATHEMATICS OF CLASSICALAND QUANTUM PHYSICSFREDERICK w. BYRON, JR.ANDR Mathematics of classical and quantum physics bjects which have contemporary relevance in physics.The book is essentially self-contained, assuming only the standard undergraduate preparation in physics and mathematics; that is, intermediate mechanics, electricity and magnetism, introductory quantum mechanics, advanced calculus and differential Mathematics of classical and quantum physics equations. The level of mathematical rigor is generally comparable to that typical of mathematical texts, but not uniformly so. The degree of rigor anMathematics of classical and quantum physics
d abstraction varies with the subject. The topics treated are of varied subtlety and mathematical sophistication, and a logical completeness that is iFrederick w By non and Robert wMATHEM?AND QUANTUMPHYSICShttps://khothu vien .comMATHEMATICS OF CLASSICALAND QUANTUM PHYSICSFREDERICK w. BYRON, JR.ANDR Mathematics of classical and quantum physics theorem or the Cauchy-Goursat theorem in order to be able tovi PREFACEcompute Fourier coefficients or perform residue integrals, we feel that the student who has studied these proofs will stand a better chance of growing mathematically after his formal coursework has ended. No reference work, let a Mathematics of classical and quantum physics lone a text, can cover all the mathematical results that a student will need. What is perhaps possible, is to generate in the student the confidence tMathematics of classical and quantum physics
hat he can find what he needs in the mathematical literature, and that he can understand it and use it. It is our aim to treat the limited number of sFrederick w By non and Robert wMATHEM?AND QUANTUMPHYSICShttps://khothu vien .comMATHEMATICS OF CLASSICALAND QUANTUM PHYSICSFREDERICK w. BYRON, JR.ANDR Mathematics of classical and quantum physics ure in their research.The backbone of the book—the theory of vector spaces—is in Chapters 3, 4, and 5. Our presentation of this material has been greatly influenced by p. R. Halmos’s text, Finite-Dimensional Vector Spaces. A generation of theoretical physicists has learned its vector space theory fr Mathematics of classical and quantum physics om this book. Halmos’s organization of the theory of vector spaces has become so second-nature that it is impossible to acknowledge adequately his infMathematics of classical and quantum physics
luence.Chapters 1 and 2 are devoted primarily to the mathematics of classical physics. Chapter 1 is designed both as a review of well-known things andFrederick w By non and Robert wMATHEM?AND QUANTUMPHYSICShttps://khothu vien .comMATHEMATICS OF CLASSICALAND QUANTUM PHYSICSFREDERICK w. BYRON, JR.ANDR Mathematics of classical and quantum physics preparing the way for subsequent generalization to abstract vectors in a vector space. In Chapter 2 we detour slightly in order to cover the mathematics of classical mechanics and develop the variational concepts which we shall use later. Chapters 3 and 4 cover the theory of finite dimensional vect Mathematics of classical and quantum physics or spaces and operators in a way that leads, without need for subsequent revision, to infinite dimensional vector spaces (Hilbert space)—the mathematiMathematics of classical and quantum physics
cal setting of quantum mechanics. Hilbert space, the subject of Chapter 5, also provides a very convenient and unifying framework for the discussion oFrederick w By non and Robert wMATHEM?AND QUANTUMPHYSICShttps://khothu vien .comMATHEMATICS OF CLASSICALAND QUANTUM PHYSICSFREDERICK w. BYRON, JR.ANDR Mathematics of classical and quantum physics results that are required in all branches of mathematical physics. The theme of vector spaces is interrupted in this chapter, but the relevance to physics does not diminish. Then in Chapters 7, 8, and 9 we introduce the student to several of the most important techniques of theoretical physics—the Mathematics of classical and quantum physics Green’s function method of solving differential and partial differential equations and the theory of integral equations. Finally, in Chapter 10 we givMathematics of classical and quantum physics
e an introduction to a subject of ever increasing importance in physics—the theory of groups.Frederick w By non and Robert wMATHEM?AND QUANTUMPHYSICShttps://khothu vien .comMATHEMATICS OF CLASSICALAND QUANTUM PHYSICSFREDERICK w. BYRON, JR.ANDRFrederick w By non and Robert wMATHEM?AND QUANTUMPHYSICShttps://khothu vien .comMATHEMATICS OF CLASSICALAND QUANTUM PHYSICSFREDERICK w. BYRON, JR.ANDRGọi ngay
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