Author: G. S. Beloglazov, et al. | Size: 1.7 MB | Format:PDF | Quality:Unspecified | Publisher: Samara University Press | Year: 2010 | pages: 67
The present issue of the series 'Modern Problems in Mathematical Physics' represents the Proceedings of the Students Training Contest Olympiad in Mathematical and Theoretical Physics and includes the statements and the solutions of the problems offered to the participants.
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We review in a pedagogical way the method of differential equations for the evaluation of D-dimensionally regulated Feynman integrals. After dealing with the general features of the technique, we discuss its application in the context of one- and two-loop corrections to the photon propagator in QED, by computing the Vacuum Polarization tensor exactly in D.
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Mathematics for Physics: A Guided Tour for Graduate Students
Author: Michael Stone, Paul Goldbart | Size: 5.3 MB | Format:PDF | Quality:Unspecified | Publisher: Cambridge University Press | Year: 2009 | pages: 919 | ISBN: 0521854032
An engagingly-written account of mathematical tools and ideas, this book provides a graduate-level introduction to the mathematics used in research in physics. The first half of the book focuses on the traditional mathematical methods of physics - differential and integral equations, Fourier series and the calculus of variations. The second half contains an introduction to more advanced subjects, including differential geometry, topology and complex variables.
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Advanced undergraduates and graduate students in the natural sciences receive a solid foundation in several fields of mathematics with this text. Topics include vector spaces and matrices; orthogonal functions; polynomial equations; asymptotic expansions; ordinary differential equations; conformal mapping; and extremum problems. Includes exercises and solutions. 1962 edition.
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This up-to-date text covers both theoretical and practical aspects of pavement analysis and design. It includes some of the latest developments in the field, and some very useful computer software—developed by the author—with detailed instructions.
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The Reference Manager is a complete reference solution! Reference Manager is an online search tool it provides a simple way to search online bibliographic databases and retrieve the references directly into Reference Manager.
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Proceedings of the Fifth International Symposium
"Highway and Bridge Engineering 2007"
Iaşi, România, December 7, 2007
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Other conferences proceedings from scientific events in Romania such as "Computational Civil Engineering" and "Highway and Bridge Engineering" can be obtained here:
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This volume offers an integrated treatment of mathematical topics which can be developed from results of elementary calculus, and which are of common importance in many fields of application
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Standard Specification for Straight-Beam Ultrasonic Examination of Rolled Steel Plates for Special Applications
Abstract
This procedure covers the standard and acceptance standards for straight-beam, pulse-echo, ultrasonic examination of rolled carbon and alloy steel plates. The amplitude linearity of the apparatus to be used shall be checked by positioning the transducer over the depth resolution notch in the IIW or similar block. The inspection shall be performed in an area free of operations that interfere with proper performance of the test. The test shall be performed either by direct contact, immersion, or liquid column coupling. Grid scanning shall be conducted along a continuous perpendicular line on the center. All discontinuities causing complete loss of reflection shall be recorded.
This abstract is a brief summary of the referenced standard. It is informational only and not an official part of the standard; the full text of the standard itself must be referred to for its use and application. ASTM does not give any warranty express or implied or make any representation that the contents of this abstract are accurate, complete or up to date.
1. Scope
1.1 This specification covers the procedure and acceptance standards for straight-beam, pulse-echo, ultrasonic examination of rolled carbon and alloy steel plates, 3/8 in. [10 mm] in thickness and over, for special applications. The method will detect internal discontinuities parallel to the rolled surfaces. Three levels of acceptance standards are provided. Supplementary requirements are provided for alternative procedures.
1.2 Individuals performing examinations in accordance with this specification shall be qualified and certified in accordance with the requirements of the latest edition of ASNT SNT-TC-1A or an equivalent accepted standard. An equivalent standard is one which covers the qualification and certification of ultrasonic nondestructive examination candidates and which is acceptable to the purchaser.
1.3 The values stated in either SI units or inch-pound units are to be regarded separately as standard. The values stated in each system may not be exact equivalents; therefore, each system shall be used independently of the other. Combining values from the two systems may result in non-conformance with the standard.
1.4 This standard does not purport to address all of the safety concerns, if any, associated with its use. It is the responsibility of the user of this standard to establish appropriate safety and health practices and determine the applicability of regulatory limitations prior to use.
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This comprehensive text addresses the elastic and plastic behavior of general structural elements under combined stress. It sets out to examine the stress-strain behaviors of materials under simple test conditions and proceeds to show how these behaviors can be generalized under combined stress. The topic of structural plasticity is presented in a manner that is simple and concise, encompassing the classical theory of metal plasticity as well as concrete plasticity. An unabridged J. Ross Publishing republication of the edition published by Springer-Verlag, New York, 1988, 606pp. Key Features - Outlines the finite element implementation of the generalized stress-strain relations for the solution of practical steel and concrete structural problems…
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