# 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 :**74. 46 MB

**Format :**PDF, ePub, Docs

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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.

## A Course In Mathematics For Students Of Physics

**Author :**Paul Bamberg

**ISBN :**0521406501

**Genre :**Mathematics

**File Size :**47. 5 MB

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Cours.in mathem.for students of physics/P.Bamberg.-v.2.

## A Course In Mathematical Methods For Physicists

**Author :**Russell L. Herman

**ISBN :**9781466584679

**Genre :**Mathematics

**File Size :**88. 42 MB

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Based on the authorâ€™s junior-level undergraduate course, this introductory textbook is designed for a course in mathematical physics. Focusing on the physics of oscillations and waves, A Course in Mathematical Methods for Physicists helps students understand the mathematical techniques needed for their future studies in physics. It takes a bottom-up approach that emphasizes physical applications of the mathematics. The book offers: A quick review of mathematical prerequisites, proceeding to applications of differential equations and linear algebra Classroom-tested explanations of complex and Fourier analysis for trigonometric and special functions Coverage of vector analysis and curvilinear coordinates for solving higher dimensional problems Sections on nonlinear dynamics, variational calculus, numerical solutions of differential equations, and Green's functions

## Methods Of Mathematical Physics

**Author :**Richard Courant

**ISBN :**9783527617227

**Genre :**Science

**File Size :**47. 4 MB

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Since the first volume of this work came out in Germany in 1924, this book, together with its second 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 second and final revision of 1953.

## Mathematical Physics

**Author :**Sadri Hassani

**ISBN :**9783319011950

**Genre :**Science

**File Size :**65. 66 MB

**Format :**PDF

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The goal of this book is to expose the reader to the indispensable role that mathematics plays in modern physics. Starting with the notion of vector spaces, the first half of the book develops topics as diverse as algebras, classical orthogonal polynomials, Fourier analysis, complex analysis, differential and integral equations, operator theory, and multi-dimensional Green's functions. The second half of the book introduces groups, manifolds, Lie groups and their representations, Clifford algebras and their representations, and fibre bundles and their applications to differential geometry and gauge theories. This second edition is a substantial revision with a complete rewriting of many chapters and the addition of new ones, including chapters on algebras, representation of Clifford algebras, fibre bundles, and gauge theories. The spirit of the first edition, namely the balance between rigour and physical application, has been maintained, as is the abundance of historical notes and worked out examples that demonstrate the "unreasonable effectiveness of mathematics" in modern physics.

## Refresher Course In B Sc Physics Vol I

**Author :**C L Arora

**ISBN :**9788121904650

**Genre :**Science

**File Size :**31. 25 MB

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It has been revised and brought up-to-date in accordance with the latest syllabi, to meet the needs of the students and teachers alike. This book has been prepared to enable the students to give a correct and to the pint answer to questions set in the examination. The answers have been arranged under various heads and subheads to faciliate the students

## A Course In Mathematical Physics 2

**Author :**Walter Thirring

**ISBN :**9781441987624

**Genre :**Science

**File Size :**54. 73 MB

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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.

## Mathematical Methods

**Author :**Sadri Hassani

**ISBN :**9780387215624

**Genre :**Mathematics

**File Size :**50. 29 MB

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Intended to follow the usual introductory physics courses, this book contains many original, lucid and relevant examples from the physical sciences, problems at the ends of chapters, and boxes to emphasize important concepts to help guide students through the material.

## Mathematics Of Classical And Quantum Physics

**Author :**Frederick W. Byron

**ISBN :**9780486135069

**Genre :**Science

**File Size :**61. 61 MB

**Format :**PDF, ePub

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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.

## University Physics

**Author :**Samuel J. Ling

**ISBN :**1938168275

**Genre :**Mechanics

**File Size :**31. 99 MB

**Format :**PDF, Kindle

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"University Physics is a three-volume collection that meets the scope and sequence requirements for two- and three-semester calculus-based physics courses. Volume 1 covers mechanics, sound, oscillations, and waves. This textbook emphasizes connections between theory and application, making physics concepts interesting and accessible to students while maintaining the mathematical rigor inherent in the subject. Frequent, strong examples focus on how to approach a problem, how to work with the equations, and how to check and generalize the result."--Open Textbook Library.