A Course In Mathematics For Students Of Physics

Author: Paul Bamberg
Publisher: Cambridge University Press
ISBN: 9780521406499
Size: 51.85 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.

A Course In Mathematics For Students Of Physics

Author: Paul Bamberg
Publisher: Cambridge University Press
ISBN: 9780521406499
Size: 15.28 MB
Format: PDF, ePub, Mobi
View: 3898
Download
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.

Physical Mathematics

Author: Kevin Cahill
Publisher: Cambridge University Press
ISBN: 1107310733
Size: 43.37 MB
Format: PDF, ePub, Mobi
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Unique in its clarity, examples and range, Physical Mathematics explains as simply as possible the mathematics that graduate students and professional physicists need in their courses and research. The author illustrates the mathematics with numerous physical examples drawn from contemporary research. In addition to basic subjects such as linear algebra, Fourier analysis, complex variables, differential equations and Bessel functions, this textbook covers topics such as the singular-value decomposition, Lie algebras, the tensors and forms of general relativity, the central limit theorem and Kolmogorov test of statistics, the Monte Carlo methods of experimental and theoretical physics, the renormalization group of condensed-matter physics and the functional derivatives and Feynman path integrals of quantum field theory.

A Course In Mathematical Methods For Physicists

Author: Russell L. Herman
Publisher: CRC Press
ISBN: 146658467X
Size: 67.98 MB
Format: PDF, Kindle
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Based on the author’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
Publisher: John Wiley & Sons
ISBN: 3527617221
Size: 27.95 MB
Format: PDF, Kindle
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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 Methods

Author: Sadri Hassani
Publisher: Springer Science & Business Media
ISBN: 038721562X
Size: 20.63 MB
Format: PDF, Kindle
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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.

Mathematical Physics

Author: Robert Geroch
Publisher: University of Chicago Press
ISBN: 022622306X
Size: 41.90 MB
Format: PDF, ePub
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Mathematical Physics is an introduction to such basic mathematical structures as groups, vector spaces, topological spaces, measure spaces, and Hilbert space. Geroch uses category theory to emphasize both the interrelationships among different structures and the unity of mathematics. Perhaps the most valuable feature of the book is the illuminating intuitive discussion of the "whys" of proofs and of axioms and definitions. This book, based on Geroch's University of Chicago course, will be especially helpful to those working in theoretical physics, including such areas as relativity, particle physics, and astrophysics.

Refresher Course In B Sc Physics Vol I

Author: C L Arora
Publisher: S. Chand Publishing
ISBN: 812190465X
Size: 24.36 MB
Format: PDF
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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

Mathematical Methods Of Classical Mechanics

Author: V.I. Arnol'd
Publisher: Springer Science & Business Media
ISBN: 1475720637
Size: 73.80 MB
Format: PDF, ePub, Docs
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This book constructs the mathematical apparatus of classical mechanics from the beginning, examining basic problems in dynamics like the theory of oscillations and the Hamiltonian formalism. The author emphasizes geometrical considerations and includes phase spaces and flows, vector fields, and Lie groups. Discussion includes qualitative methods of the theory of dynamical systems and of asymptotic methods like averaging and adiabatic invariance.

Mathematics For College Physics

Author: Biman Das
Publisher: Addison-Wesley
ISBN: 9780131414273
Size: 52.81 MB
Format: PDF, Mobi
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This book is designed to help readers get up to speed quickly on the mathematical concepts and tools needed to solve basic physics problems. Instead of a rigorous development of the concepts of mathematics (as is found in a typical math book), it describes the various mathematical concepts and tools and their direct use in physics. Almost all sections end with worked-out examples and exercises taken directly from basic physics. Algebra: Dealing with Numbers and Equations in Physics. Trigonometry: A Powerful Tool to Solve-Real-World Problems. Geometry: Dealing with Shapes and Plots. Calculus: A Way of Probing the Changing World. Vectors: Tracking the Direction of a Change. Probability and Statistics: Analysis of Data and Predicting Future from the Present. For anyone needing a quick review of math for physics applications.