a course in mathematics for students of physics volume 1

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A Course In Mathematics For Students Of Physics

Author : Paul Bamberg
ISBN : 9781107392854
Genre : Mathematics
File Size : 31. 25 MB
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This textbook, available in two volumes, has been developed from a course taught at Harvard over the last decade. The course covers principally the theory and physical applications of linear algebra and of the calculus of several variables, particularly the exterior calculus. The authors adopt the 'spiral method' of teaching, covering the same topic several times at increasing levels of sophistication and range of application. Thus the reader develops a deep, intuitive understanding of the subject as a whole, and an appreciation of the natural progression of ideas. Topics covered include many items previously dealt with at a much more advanced level, such as algebraic topology (introduced via the analysis of electrical networks), exterior calculus, Lie derivatives, and star operators (which are applied to Maxwell's equations and optics). This then is a text which breaks new ground in presenting and applying sophisticated mathematics in an elementary setting. Any student, interpreted in the widest sense, with an interest in physics and mathematics, will gain from its study.

New Scientist

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File Size : 75. 41 MB
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New Scientist magazine was launched in 1956 "for all those men and women who are interested in scientific discovery, and in its industrial, commercial and social consequences". The brand's mission is no different today - for its consumers, New Scientist reports, explores and interprets the results of human endeavour set in the context of society and culture.

A Course In Mathematical Physics

Author : Walter Thirring
ISBN : 9783709175262
Genre : Science
File Size : 29. 67 MB
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In this final volume I have tried to present the subject of statistical mechanics in accordance with the basic principles of the series. The effort again entailed following Gustav Mahler's maxim, "Tradition = Schlamperei" (i.e., filth) and clearing away a large portion of this tradition-laden area. The result is a book with little in common with most other books on the subject. The ordinary perturbation-theoretic calculations are not very useful in this field. Those methods have never led to propositions of much substance. Even when perturbation series, which for the most part never converge, can be given some asymptotic meaning, it cannot be determined how close the nth order approximation comes to the exact result. Since analytic solutions of nontrivial problems are beyond human capabilities, for better or worse we must settle for sharp bounds on the quantities of interest, and can at most strive to make the degree of accuracy satisfactory.

A Course In Mathematical Physics 1 And 2

Author : Walter Thirring
ISBN : UCSC:32106009103927
Genre : Mathematics
File Size : 51. 63 MB
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This book combines the enlarged and corrected editions of both volumes on classical physics of Thirring's famous course in mathematical physics. With numerous examples and remarks complementing the text, it is suitable as a textbook for students of physics, mathematics, and applied mathematics. The treatment of classical dynamical systems employs analysis on manifolds to provide the mathematical setting for discussions of Hamiltonian systems; problems discussed in detail include nonrelativistic motion of particles and systems, relativis- tic motion in electromagnetic and gravitational fields, and the structure of black holes. The treatment of classical fields used differential geometry to examine both Maxwell's and Einstein's equations with new material added on gauge theories.

A First Course In Mathematical Physics

Author : Colm T. Whelan
ISBN : 9783527687138
Genre : Science
File Size : 33. 57 MB
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The book assumes next to no prior knowledge of the topic. The first part introduces the core mathematics, always in conjunction with the physical context. In the second part of the book, a series of examples showcases some of the more conceptually advanced areas of physics, the presentation of which draws on the developments in the first part. A large number of problems helps students to hone their skills in using the presented mathematical methods. Solutions to the problems are available to instructors on an associated password-protected website for lecturers.

A Course In Mathematical Physics Classical Dynamical Systems

Author : Walter E. Thirring
ISBN : 3211536124
Genre : Dynamics
File Size : 44. 38 MB
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Physik F R Dummies

Author : Steven Holzner
ISBN : 9783527692576
Genre : Science
File Size : 67. 5 MB
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Dieses Buch entf?hrt auch die, die damit eigentlich nichts am Hut haben, in die faszinierende Welt der Physik. Steve Holzner stellt Ihnen physikalische Ph?nomene vor und erkl?rt die dahinterstehenden Naturgesetze samt der notwendigen mathematischen Grundlagen. Egal ob Elektrizit?t, Magnetismus oder Optik, alles wird mit ausf?hrlichen Beispielen und anschaulichen Abbildungen erl?utert. Nach jedem Kapitel gibt es ?bungsaufgaben und L?sungen, mit denen man das Gelernte festigen kann.

Intellectual Mastery Of Nature Theoretical Physics From Ohm To Einstein Volume 1

Author : Christa Jungnickel
ISBN : 0226415821
Genre : Reference
File Size : 59. 27 MB
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Christina Jungnickel and Russell McCormmach have created in these two volumes a panoramic history of German theoretical physics. Bridging social, institutional, and intellectual history, they chronicle the work of the researchers who, from the first years of the nineteenth century, strove for an intellectual mastery of nature. Volume 1 opens with an account of physics in Germany at the beginning of the nineteenth century and of German physicists' reception of foreign mathematical and experimental work. Jungnickel and McCormmach follow G. S. Ohm, Wilhelm Weber, Franz Neumann, and others as these scientists work out the new possibilities for physics, introduce student laboratories and instruction in mathematical physics, organize societies and journals, and establish and advance major theories of classical physics. Before the end of the nineteenth century, German physics and its offspring, theoretical physics, had acquired nearly their present organizational forms. The foundations of the classical picture of the physical world had been securely laid, preparing the way for the developments that are the subject of volume 2.

Essential Mathematics For The Physical Sciences Volume 1

Author : Brett Borden
ISBN : 9781681744865
Genre :
File Size : 74. 73 MB
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Physics is expressed in the language of mathematics; it is deeply ingrained in how physics is taught and how it's practiced. A study of the mathematics used in science is thus asound intellectual investment for training as scientists and engineers. This first volume of two is centered on methods of solving partial differential equations (PDEs) and the special functions introduced. Solving PDEs can't be done, however, outside of the context in which they apply to physical systems. The solutions to PDEs must conform to boundary conditions, a set of additional constraints in space or time to be satisfied at the boundaries of the system, that small part of the universe under study. The first volume is devoted to homogeneous boundary-value problems (BVPs), homogeneous implying a system lacking a forcing function, or source function. The second volume takes up (in addition to other topics) inhomogeneous problems where, in addition to the intrinsic PDE governing a physical field, source functions are an essential part of the system. This text is based on a course offered at the Naval Postgraduate School (NPS) and while produced for NPS needs, it will serve other universities well. It is based on the assumption that it follows a math review course, and was designed to coincide with the second quarter of student study, which is dominated by BVPs but also requires an understanding of special functions and Fourier analysis.

Principles And Applications Of General Physics Volume 1 Mechanics Waves And Fluids

Author : Alec Sithole
ISBN : 9781312397033
Genre : Science
File Size : 55. 77 MB
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This book is an entry-level undergraduate physics textbook, which is suitable for physics, pre-engineering, pre-medical, pre-law, biotechnology or general science students. The approach adopted in this text places emphasis on simplifying abstract concepts by using short derivations of important equations as well as introducing problem-solving strategies that will help the reader to learn quickly to apply simple concepts to solve complex problems in general physics. To address any deficiency in mathematical knowledge needed to succeed in a physics course, Chapter Zero reviews important mathematics concepts that are generally encountered in physics. In addition, each chapter contains several different solved problems in different areas. Additional practice problems are also included in each chapter.

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