These are lecture notes on various topics in analytic theory of differential equations: Singular points of solutions to analytic differential equations; Monodromy of linear differential operators with rational coefficients.
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Contents: The hyperbolic algebra as a bidimensional Clifford algebra; Limits and series in the hyperbolic plane; The hyperbolic Euler formula; Analytic functions in the hyperbolic plane; Multivalued functions on the hyperbolic plane and hyperbolic Riemann surfaces; Physical application to the vibrating string; Hyperbolic Analysis as the (1,0)-case of Clifford Analysis.
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The book reviews and extends the theory of Lie groups, develops differential geometry, proposing compact definitions of torsion and of curvature, and adapts the usual notion of linear tangent application to the intrinsic point of view proposed for physics. As an illustration, two simple theories are studied with some detail, the theory of heat conduction and the theory of linear elastic media. The equations found differ quantitatively and qualitatively from those usually presented.
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This a book is for those who would like to learn something about special and general relativity beyond the usual textbooks, about quantum field theory, the elegant Fock-Schwinger-Stueckelberg proper time formalism, the elegant description of geometry by means of Clifford algebra, about the fascinating possibilities the latter algebra offers in reformulating the existing physical theories, and quantizing them in a natural way.
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An elementary treatise on Fourier's series and spherical, cylindrical, and ellipsoidal harmonics
Author: William Elwood Byerly | Size: 1.3 MB | Format:PDF | Quality:Unspecified | Publisher: Ginn and company | Year: 1983 | pages: 309 | ISBN: 1116151464
From the table of contents: Development in Trigonometric Series; Convergence of Fourier's Series; Solution of Problems in Physics by the Aid of Fourier's Integrals and Fourier's Series; Zonal Harmonics; Spherical Harmonics; Cylindrical Harmonics; Laplace's Equation in Curvilinear Coordinates. Ellipsoidal Harmonics.
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This book presents the course material for mathemathical methods of theoretical physics intended for an undergraduate audience. The author most humbly presents his own version of what is important for standard courses of contemporary physics.
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This is a Very Lite Version of Portable AutoCAD 2010.
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AutoCAD® Structural Detailing software is a version of AutoCAD® software specifically designed for structural drafting and the creation of steel and concrete reinforcement detailing and fabrication shop drawings. This application supports the Building Information Modeling (BIM) process for structural engineers, drafters, detailers, and fabricators.
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IMPORTANT NOTICE: You may use this software for evaluation purposes only.
If you like it, it is strongly suggested you buy it to support the developers.
By any means you may not use this software to make money or use it for commercial purpose.
Taking a personal tone and devised with a focus on practical aspects, Geotechnical Problem Solving bridges the gap between geotechnical and soil mechanics material covered in university Civil Engineering courses and the advanced topics required for practicing Civil, Structural and Geotechnical engineers. By giving newly qualified engineers the information needed to apply their extensive theoretical knowledge, and informing more established practitioners of the latest developments, this book helps readers confidently approach problems having thought through the various options available. Where various competing solutions are proposed, the author systematically guides readers through each option, weighing the benefits and drawbacks of each, to ensure they can approach and solve real-world problems in a similar manner.
Links theoretical and practical work to provide a reference and guide to geotechnical topics
Takes readers through various scenarios helping them to understand how to solve problems efficiently
Provides a perspective on complexity in geotechnical practice
Gives readers the tools they need to understand the principles and history behind the material so that they can handle real-world problems
Covers a broad range of geotechnical topics, including soils, foundations and retaining structures, and provides an introduction to the background and application of geotechnical LRFD
Reading recommendations are given including special articles and references for further study of advanced material
Uses a ‘problem’ and ‘answer’ mentoring approach from the author to the reader to answer many of the reader’s questions
The scope of material covered includes a range of geotechnical topics, such as soil classification, soil stresses and strength and soil self-weight settlement. Shallow and deep foundations are analyzed, including special articles on laterally loaded piles, retaining structures including MSE and Tieback walls, slope and trench stability for natural, cut and fill slopes, geotechnical uncertainty, and geotechnical LRFD (Load and Resistance Factor Design).
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