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Analysis And Mechanics
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Book Synopsis Functional Analysis in Mechanics by : Leonid P. Lebedev
Download or read book Functional Analysis in Mechanics written by Leonid P. Lebedev and published by Springer Science & Business Media. This book was released on 2006-04-29 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers functional analysis and its applications to continuum mechanics.; The mathematical material is treated in a non-abstract manner and is fully illuminated by the underlying mechanical ideas.; The presentation is concise but complete, and is intended for specialists in continuum mechanics who wish to understand the mathematical underpinnings of the discipline.; Graduate students and researchers in mathematics, physics, and engineering will find this book useful.; Exercises and examples are included throughout with detailed solutions provided in the appendix.
Book Synopsis Computational Analysis of Randomness in Structural Mechanics by : Christian Bucher
Download or read book Computational Analysis of Randomness in Structural Mechanics written by Christian Bucher and published by CRC Press. This book was released on 2009-03-30 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proper treatment of structural behavior under severe loading - such as the performance of a high-rise building during an earthquake - relies heavily on the use of probability-based analysis and decision-making tools. Proper application of these tools is significantly enhanced by a thorough understanding of the underlying theoretical and computation
Book Synopsis Numerical Analysis with Applications in Mechanics and Engineering by : Petre Teodorescu
Download or read book Numerical Analysis with Applications in Mechanics and Engineering written by Petre Teodorescu and published by John Wiley & Sons. This book was released on 2013-05-07 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: A much-needed guide on how to use numerical methods to solve practical engineering problems Bridging the gap between mathematics and engineering, Numerical Analysis with Applications in Mechanics and Engineering arms readers with powerful tools for solving real-world problems in mechanics, physics, and civil and mechanical engineering. Unlike most books on numerical analysis, this outstanding work links theory and application, explains the mathematics in simple engineering terms, and clearly demonstrates how to use numerical methods to obtain solutions and interpret results. Each chapter is devoted to a unique analytical methodology, including a detailed theoretical presentation and emphasis on practical computation. Ample numerical examples and applications round out the discussion, illustrating how to work out specific problems of mechanics, physics, or engineering. Readers will learn the core purpose of each technique, develop hands-on problem-solving skills, and get a complete picture of the studied phenomenon. Coverage includes: How to deal with errors in numerical analysis Approaches for solving problems in linear and nonlinear systems Methods of interpolation and approximation of functions Formulas and calculations for numerical differentiation and integration Integration of ordinary and partial differential equations Optimization methods and solutions for programming problems Numerical Analysis with Applications in Mechanics and Engineering is a one-of-a-kind guide for engineers using mathematical models and methods, as well as for physicists and mathematicians interested in engineering problems.
Book Synopsis Tensor Analysis and Continuum Mechanics by : Wilhelm Flügge
Download or read book Tensor Analysis and Continuum Mechanics written by Wilhelm Flügge and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: Through several centuries there has been a lively interaction between mathematics and mechanics. On the one side, mechanics has used mathemat ics to formulate the basic laws and to apply them to a host of problems that call for the quantitative prediction of the consequences of some action. On the other side, the needs of mechanics have stimulated the development of mathematical concepts. Differential calculus grew out of the needs of Newtonian dynamics; vector algebra was developed as a means . to describe force systems; vector analysis, to study velocity fields and force fields; and the calcul~s of variations has evolved from the energy principles of mechan ics. In recent times the theory of tensors has attracted the attention of the mechanics people. Its very name indicates its origin in the theory of elasticity. For a long time little use has been made of it in this area, but in the last decade its usefulness in the mechanics of continuous media has been widely recognized. While the undergraduate textbook literature in this country was becoming "vectorized" (lagging almost half a century behind the development in Europe), books dealing with various aspects of continuum mechanics took to tensors like fish to water. Since many authors were not sure whether their readers were sufficiently familiar with tensors~ they either added' a chapter on tensors or wrote a separate book on the subject.
Book Synopsis Quantum Mechanics for Mathematicians by : Leon Armenovich Takhtadzhi͡an
Download or read book Quantum Mechanics for Mathematicians written by Leon Armenovich Takhtadzhi͡an and published by American Mathematical Soc.. This book was released on 2008 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a comprehensive treatment of quantum mechanics from a mathematics perspective. Including traditional topics, like classical mechanics, mathematical foundations of quantum mechanics, quantization, and the Schrodinger equation, this book gives a mathematical treatment of systems of identical particles with spin.
Book Synopsis Handbook of Mathematical Analysis in Mechanics of Viscous Fluids by : Yoshikazu Giga
Download or read book Handbook of Mathematical Analysis in Mechanics of Viscous Fluids written by Yoshikazu Giga and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Functional Analysis by : Leonid P. Lebedev
Download or read book Functional Analysis written by Leonid P. Lebedev and published by Springer Science & Business Media. This book was released on 2006-04-29 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book started its life as a series of lectures given by the second author from the 1970’s onwards to students in their third and fourth years in the Department of Mechanics and Mathematics at Rostov State University. For these lectures there was also an audience of engineers and applied mechanicists who wished to understand the functional analysis used in contemporary research in their fields. These people were not so much interested in functional analysis itself as in its applications; they did not want to be told about functional analysis in its most abstract form, but wanted a guided tour through those parts of the analysis needed for their applications. The lecture notes evolved over the years as the first author started to make more formal typewritten versions incorporating new material. About 1990 the first author prepared an English version and submitted it to Kluwer Academic Publishers for inclusion in the series Solid Mechanics and its Applications. At that state the notes were divided into three long chapters covering linear and nonlinear analysis. As Series Editor, the third author started to edit them. The requirements of lecture notes and books are vastly different. A book has to be complete (in some sense), self contained, and able to be read without the help of an instructor.
Book Synopsis Introduction to Structural Mechanics and Analysis by : Donald Adam DaDeppo
Download or read book Introduction to Structural Mechanics and Analysis written by Donald Adam DaDeppo and published by . This book was released on 1999 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: For a modern two-semester course in Structural Mechanics and Analysis. Designed to better prepare students for advanced studies in structural mechanics, this text focuses on the fundamental principles of mechanics and the basic assumptions that are the heart of the linear theory of structures. It explores the important classical methods for the analysis of statically determinate and statically indeterminate structures, and presents a uniquely different mode of reasoning and derivation of the virtual work method for calculating small displacements of structures.
Book Synopsis Mechanics, Analysis and Geometry: 200 Years after Lagrange by : M. Francaviglia
Download or read book Mechanics, Analysis and Geometry: 200 Years after Lagrange written by M. Francaviglia and published by Elsevier. This book was released on 2012-12-02 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing a logically balanced and authoritative account of the different branches and problems of mathematical physics that Lagrange studied and developed, this volume presents up-to-date developments in differential goemetry, dynamical systems, the calculus of variations, and celestial and analytical mechanics.
Book Synopsis Running Mechanics and Gait Analysis by : Ferber, Reed
Download or read book Running Mechanics and Gait Analysis written by Ferber, Reed and published by Human Kinetics. This book was released on 2014-03-20 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: Running Mechanics and Gait Analysis With Online Video is the premier resource for running mechanics and injury prevention. Referencing over 250 peer-reviewed scientific manuscripts, this text is a comprehensive review of the research and clinical concepts related to gait and injury analysis.
Book Synopsis Nonlinear Continuum Mechanics for Finite Element Analysis by : Javier Bonet
Download or read book Nonlinear Continuum Mechanics for Finite Element Analysis written by Javier Bonet and published by Cambridge University Press. This book was released on 1997-09-28 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unified treatment of nonlinear continuum analysis and finite element techniques.
Book Synopsis Geometric Aspects of Analysis and Mechanics by : Erik P. van den Ban
Download or read book Geometric Aspects of Analysis and Mechanics written by Erik P. van den Ban and published by Springer Science & Business Media. This book was released on 2011-06-28 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hans Duistermaat, an influential geometer-analyst, made substantial contributions to the theory of ordinary and partial differential equations, symplectic, differential, and algebraic geometry, minimal surfaces, semisimple Lie groups, mechanics, mathematical physics, and related fields. Written in his honor, the invited and refereed articles in this volume contain important new results as well as surveys in some of these areas, clearly demonstrating the impact of Duistermaat's research and, in addition, exhibiting interrelationships among many of the topics.
Book Synopsis Engineering Analysis in Applied Mechanics by : John W. Brewer
Download or read book Engineering Analysis in Applied Mechanics written by John W. Brewer and published by Orient Blackswan. This book was released on 2002-01-11 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text surveys the mathematical foundations of applied mechanics. The sections on engineering mathematics covers simultaneous algebraic and differential equations, matrix algebra, the theory of optimization and the calculus of variations. Considerable attention is also paid to engineering applications in theoretical thermodynamics, strength of materials ang Lagrangian-Hamiltonian dynamics. The unifying themes of the text are the mathematical foundations, work-energy principles and the Legendre transform. The only prerequisite is the background in mathematics and physics typical of the advanced-undergraduate in engineering.
Book Synopsis Advanced Engineering Analysis by : L. P. Lebedev
Download or read book Advanced Engineering Analysis written by L. P. Lebedev and published by World Scientific. This book was released on 2012 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced Engineering Analysis: The Calculus of Variations and Functional Analysis with Applications in Mechanics Advanced Engineering Analysis is a textbook on modern engineering analysis, covering the calculus of variations, functional analysis, and control theory, as well as applications of these disciplines to mechanics. The book offers a brief and concise, yet complete explanation of essential theory and applications. It contains exercises with hints and solutions, ideal for self-study. Book jacket.
Book Synopsis High Sensitivity Moiré by : Daniel Post
Download or read book High Sensitivity Moiré written by Daniel Post and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: A description of both the theory and practice of physical measurements that use high-sensitivity moiré - principally moiré interferometry. The focus here is on the mechanics and micromechanics of materials and structural elements and the book includes new studies published for the first time. Diverse fields are addressed: advanced composite materials, thermal stresses, electronic packaging, fracture, metallurgy, time-dependence, strain gage calibration. All the methods can be applied for whole-field measurements on nearly and solid bodies. This reader-friendly book will serve engineers and scientists who are concerned with measurements of real phenomena, while also stimulating students to pursue the treasures of experimental analysis.
Book Synopsis Continuum Damage Mechanics by : Sumio Murakami
Download or read book Continuum Damage Mechanics written by Sumio Murakami and published by Springer Science & Business Media. This book was released on 2012-02-24 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent developments in engineering and technology have brought about serious and enlarged demands for reliability, safety and economy in wide range of fields such as aeronautics, nuclear engineering, civil and structural engineering, automotive and production industry. This, in turn, has caused more interest in continuum damage mechanics and its engineering applications. This book aims to give a concise overview of the current state of damage mechanics, and then to show the fascinating possibility of this promising branch of mechanics, and to provide researchers, engineers and graduate students with an intelligible and self-contained textbook. The book consists of two parts and an appendix. Part I is concerned with the foundation of continuum damage mechanics. Basic concepts of material damage and the mechanical representation of damage state of various kinds are described in Chapters 1 and 2. In Chapters 3-5, irreversible thermodynamics, thermodynamic constitutive theory and its application to the modeling of the constitutive and the evolution equations of damaged materials are descried as a systematic basis for the subsequent development throughout the book. Part II describes the application of the fundamental theories developed in Part I to typical damage and fracture problems encountered in various fields of the current engineering. Important engineering aspects of elastic-plastic or ductile damage, their damage mechanics modeling and their further refinement are first discussed in Chapter 6. Chapters 7 and 8 are concerned with the modeling of fatigue, creep, creep-fatigue and their engineering application. Damage mechanics modeling of complicated crack closure behavior in elastic-brittle and composite materials are discussed in Chapters 9 and 10. In Chapter 11, applicability of the local approach to fracture by means of damage mechanics and finite element method, and the ensuing mathematical and numerical problems are briefly discussed. A proper understanding of the subject matter requires knowledge of tensor algebra and tensor calculus. At the end of this book, therefore, the foundations of tensor analysis are presented in the Appendix, especially for readers with insufficient mathematical background, but with keen interest in this exciting field of mechanics.
Book Synopsis Structural Mechanics: Modelling and Analysis of Frames and Trusses by : Karl-Gunnar Olsson
Download or read book Structural Mechanics: Modelling and Analysis of Frames and Trusses written by Karl-Gunnar Olsson and published by John Wiley & Sons. This book was released on 2016-01-26 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Textbook covers the fundamental theory of structural mechanics and the modelling and analysis of frame and truss structures Deals with modelling and analysis of trusses and frames using a systematic matrix formulated displacement method with the language and flexibility of the finite element method Element matrices are established from analytical solutions to the differential equations Provides a strong toolbox with elements and algorithms for computational modelling and numerical exploration of truss and frame structures Discusses the concept of stiffness as a qualitative tool to explain structural behaviour Includes numerous exercises, for some of which the computer software CALFEM is used. In order to support the learning process CALFEM gives the user full overview of the matrices and algorithms used in a finite element analysis
