Author: Robert Oman, Daniel Oman | Size: 5.96 MB | Format:PDF | Quality:Unspecified | Publisher: McGraw-Hill | Year: 1996 | pages: 352 | ISBN: 0070481660
The Problem: Physics. The Solution: How to Solve Physics Problems
No one says physics is easy, not even physics professor Bob Oman or microelectronics researcher Dan Oman. They struggled with physics as undergraduates, too, and know the physics student's lament--"I understood everything in lecture and the text, but I couldn't do the problems."
That's why they wrote How to Solve Physics Problems. This book prepares you for physics exams by moving you directly into problem-solving. You learn to solve physics problems naturally and systematically as you read along--before you even know you're doing it--and in a way you simply can't forget. This book also helps you with your homework and gives you a preview of problems that will be on your exams. Plus you get good, solid advice on how to reduce study time, get maximum benefit from class, prepare for your exams effectively, and make your note-taking count.
No matter how tough your textbook or how rigorous your course--whether you are studying calculus-based or non-calc physics--this book will help you understand more and improve your grade.
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The fun and easy way to understand and solve complex equations
Many of the fundamental laws of physics, chemistry, biology, and economics can be formulated as differential equations. This plain-English guide explores the many applications of this mathematical tool and shows how differential equations can help us understand the world around us. Differential Equations For Dummies is the perfect companion for a college differential equations course and is an ideal supplemental resource for other calculus classes as well as science and engineering courses. It offers step-by-step techniques, practical tips, numerous exercises, and clear, concise examples to help readers improve their differential equation-solving skills and boost their test scores.
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Author: Peter J. Collins | Size: 1.87 MB | Format:PDF | Quality:Original preprint | Publisher: Oxford University Press | Year: 2006 | pages: 387
Differential and integral equations involve important mathematical techniques, and as such will be encountered by mathematicians, and physical and social scientists, in their undergraduate courses. This text provides a clear, comprehensive guide to first- and second-order ordinary and partial differential equations, whilst introducing important and useful basic material on integral equations. Readers will encounter detailed discussion of the wave, heat and Laplace equations, of Green's functions and their application to the Sturm-Liouville equation, and how to use series solutions, transform methods and phase-plane analysis. The calculus of variations will take them further into the world of applied analysis.
Providing a wealth of techniques, but yet satisfying the needs of the pure mathematician, and with numerous carefully worked examples and exercises, the text is ideal for any undergraduate with basic calculus to gain a thorough grounding in 'analysis for applications'.
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Author: Gregory L. Baker, James A. Blackburn | Size: 17.01 MB | Format:PDF | Quality:Original preprint | Publisher: Oxford University Press | Year: 2005 | pages: 301
The pendulum: a case study in physics is an unusual book in several ways. Most distinctively, it is organized around a single physical system, the pendulum, in contrast to conventional texts that remain confined to single fields such as electromagnetism or classical mechanics. In other words, the pendulum is the central focus, but from this main path we branch to many important areas of physics, technology, and the history of science
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This textbook covers all the standard introductory topics in classical mechanics, including Newton's laws, oscillations, energy, momentum, angular momentum, planetary motion, and special relativity. It also explores more advanced topics, such as normal modes, the Lagrangian method, gyroscopic motion, fictitious forces, 4-vectors, and general relativity. It contains more than 250 problems with detailed solutions so students can easily check their understanding of the topic. There are also over 350 unworked exercises which are ideal for homework assignments. Password protected solutions are available to instructors at www.cambridge.org/9780521876223. The vast number of problems alone makes it an ideal supplementary text for all levels of undergraduate physics courses in classical mechanics. Remarks are scattered throughout the text, discussing issues that are often glossed over in other textbooks, and it is thoroughly illustrated with more than 600 figures to help demonstrate key concepts.
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Eurocode 3, Part 1.3, Supplementary rules for cold formed members and sheeting (EN 1993-1-3:2004) has been published. This standard replaces pre-standard ENV 1993-1-3:1996 and contains updates and revisions to the pre-standard ENV 1993-1-3.
ECCS has published document No. 114 Preliminary worked examples according to Eurocode 3 Part 1.3 (2000) prepared by ECCS TC 7 using the pre-standard ENV 1993-1-3. The original aim was to check the applicability and accuracy of the pre-standard and assist the practical use of the provisions.
This new publication replaces ECCS document No. 114. The examples have been updated following the provisions given in EN 1993-1-3. Some new examples have been also included. These examples show applicability of design provisions in EN 1993-1-3 in practice. They also help in interpretation of the guidance given in the code.
Chapter 2 contains examples related to one industrial building. Different aspects related to the design of structural components have been included.
-Example A: Roof sheeting
-Example B: Liner trays
-Example C: Purlins
-Example D: Portal frames
-Example E: End wall and wind bracing
Chapter 3 contains additional examples for specific structural elements or features of EN 1993-1-3, which are included to assist in practical use of the provision.
-Example F: C-section in compression and bending about axis of symmetry
-Example G. U-section in bending and compression
-Example H: C-section in compression
-Example I: Hat section upper chord of lattice girder
-Example J: Sheeting with stiffeners in flange and web
-Example K: Inelastic reserve of sheeting
-Example L: Double C-section as end column
The calculations are based on the provisions of EN 1993-1-3. Also parts EN 1993-1-5 and EN 1993-1-1 are required in the calculations. In some cases engineering judgement has been followed. If other methods in addition to Eurocode 3 have been used it has been clearly noted in the examples.
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Author: Christopher Scott Williams | Size: 8.54 MB | Format:PDF | Quality:Original preprint | Publisher: University of Texas | Year: 2011 | pages: 351
Strut-and-tie modeling (STM) is a versatile, lower-bound (i.e. conservative) design method for reinforced concrete structural components. Uncertainty expressed by engineers related to the implementation of existing STM code specifications as well as a growing inventory of distressed in-service bent caps exhibiting diagonal cracking was the impetus for the Texas Department of Transportation (TxDOT) to fund research project 0-5253, D-Region Strength and Serviceability Design, and the current implementation project (5-5253-01). As part of these projects, simple, accurate STM specifications were developed. This thesis acts as a guidebook for application of the proposed specifications and is intended to clarify any remaining uncertainties associated with strut-and-tie modeling. A series of five detailed design examples feature the application of the STM specifications. A brief overview of each design example is provided below. The examples are prefaced with a review of the theoretical background and fundamental design process of STM (Chapter 2). ʺ Example 1: Five-Column Bent Cap of a Skewed Bridge - This design example serves as an introduction to the application of STM. Challenges are introduced by the bridge's skew and complicated loading pattern. A clear procedure for defining relatively complex nodal geometries is presented. ʺ Example 2: Cantilever Bent Cap - A strut-and-tie model is developed to represent the flow of forces around a frame corner subjected to closing loads. The design and detailing of a curved-bar node at the outside of the frame corner is described. ʺ Example 3a: Inverted-T Straddle Bent Cap (Moment Frame) - An inverted-T straddle bent cap is modeled as a component within a moment frame. Bottom-chord (ledge) loading of the inverted-T necessitates the use of local STMs to model the flow of forces through the bent cap's cross section. ʺ Example 3b: Inverted-T Straddle Bent Cap (Simply Supported) - The inverted-T bent cap of Example 3a is designed as a member that is simply supported at the columns. ʺ Example 4: Drilled-Shaft Footing - Three-dimensional STMs are developed to properly model the flow of forces through a deep drilled-shaft footing. Two unique load cases are considered to familiarize the designer with the development of such models.
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Author: E. H. Connell | Size: 0.64 MB | Format:PDF | Quality:Original preprint | Year: 2004 | pages: 146
It covers abstract algebra in general, but the focus is on linear algebra. Here is a brief outline of the six chapters.
Background: Equivalence relations, injective, surjective, and bijective functions, product of sets, unique prime factorization in the integers (18 pages).
Groups: Normal subgroups, quotient groups, homomorphisms, permutations and symmetric groups, product of groups (18 pages).
Rings: Ideals and quotient rings, Zn, homomorphisms, polynomial rings, product of rings, Chinese remainder theorem, characteristic, Boolean rings (16 pages).
Matrices and Matrix Rings: Invertible matrices, elementary operations and elementary matrices, determinant, similarity, trace, characteristic polynomial (14 pages).
Linear Algebra: Modules, homomorphisms, quotient modules, products and coproducts, summands, independence, generating sets, free basis, uniqueness of dimension, change of basis, rank of a matrix, geometric interpretation of determinant, nilpotent homomorphisms, eigenvalues, characteristic roots, inner product spaces, orthogonal groups, diagonalization of symmetric matrices by orthogonal matrices (40 pages).
Appendix: Chinese remainder theorem, prime and maximal ideals, UFDs, splitting short exact sequences, finitely generated modules over Euclidean domains, Jordan form, determinants and multilinear forms, dual spaces (28 pages).
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The extensive additions, and the inclusion of a new chapter, has made this classic work by Jeffrey, now joined by co-author Dr. H.H. Dai, an even more essential reference for researchers and students in applied mathematics, engineering, and physics. It provides quick access to important formulas, relationships between functions, and mathematical techniques that range from matrix theory and integrals of commonly occurring functions to vector calculus, ordinary and partial differential equations, special functions, Fourier series, orthogonal polynomials, and Laplace and Fourier transforms. During the preparation of this edition full advantage was taken of the recently updated seventh edition of Gradshteyn and Ryzhik’s Table of Integrals, Series, and Products and other important reference works. Suggestions from users of the third edition of the Handbook have resulted in the expansion of many sections, and because of the relevance to boundary value problems for the Laplace equation in the plane, a new chapter on conformal mapping, has been added, complete with an atlas of useful mappings.
- Comprehensive coverage in reference form of the branches of mathematics used in science and engineering
- Organized to make results involving integrals and functions easy to locate
- Results illustrated by worked examples
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