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An Introduction To Mathematics For Engineers

Author: Stephen Lee
Publisher: CRC Press
ISBN: 1466586044
Size: 44.52 MB
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This new introductory mechanics textbook is written for engineering students within further and higher education who are looking to bridge the gap between A-Level and university or college. It introduces key concepts in a clear and straightforward manner, with reference to real-world applications and thoroughly explains each line of mathematical development. Together with instructive diagrams, case studies and many questions to work through, this text will ensure a thorough understanding of the fundamentals of mechanics. An enclosed CD-ROM also contains 'Personal Tutor' electronic step-by-step worked examples, with voice-over commentary, which take the student through sample problems and solutions. This book is suitable for students of: mechanical engineering civil engineering aeronautical engineering automotive engineering physics general engineering and all other related engineering disciplines where applied mathematics is essential.

An Introduction To Mathematical Modeling

Author: J. Tinsley Oden
Publisher: John Wiley & Sons
ISBN: 1118105745
Size: 78.41 MB
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A modern approach to mathematical modeling, featuring unique applications from the field of mechanics An Introduction to Mathematical Modeling: A Course in Mechanics is designed to survey the mathematical models that form the foundations of modern science and incorporates examples that illustrate how the most successful models arise from basic principles in modern and classical mathematical physics. Written by a world authority on mathematical theory and computational mechanics, the book presents an account of continuum mechanics, electromagnetic field theory, quantum mechanics, and statistical mechanics for readers with varied backgrounds in engineering, computer science, mathematics, and physics. The author streamlines a comprehensive understanding of the topic in three clearly organized sections: Nonlinear Continuum Mechanics introduces kinematics as well as force and stress in deformable bodies; mass and momentum; balance of linear and angular momentum; conservation of energy; and constitutive equations Electromagnetic Field Theory and Quantum Mechanics contains a brief account of electromagnetic wave theory and Maxwell's equations as well as an introductory account of quantum mechanics with related topics including ab initio methods and Spin and Pauli's principles Statistical Mechanics presents an introduction to statistical mechanics of systems in thermodynamic equilibrium as well as continuum mechanics, quantum mechanics, and molecular dynamics Each part of the book concludes with exercise sets that allow readers to test their understanding of the presented material. Key theorems and fundamental equations are highlighted throughout, and an extensive bibliography outlines resources for further study. Extensively class-tested to ensure an accessible presentation, An Introduction to Mathematical Modeling is an excellent book for courses on introductory mathematical modeling and statistical mechanics at the upper-undergraduate and graduate levels. The book also serves as a valuable reference for professionals working in the areas of modeling and simulation, physics, and computational engineering.

An Introduction To Continuum Mechanics After Truesdell And Noll

Author: D.R Smith
Publisher: Springer Science & Business Media
ISBN: 9780792324546
Size: 10.28 MB
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This book provides a brief introduction to rational continuum mechanics in a form suitable for students of engineering, mathematics and science. The presentation is tightly focused on the simplest case of the classical mechanics of nonpolar materials, leaving aside the effects of internal structure, temperature and electromagnetism, and excluding other mathematical models, such as statistical mechanics, relativistic mechanics and quantum mechanics. Within the limitations of the simplest mechanical theory, the author had provided a text that is largely self-contained. Though the book is primarily an introduction to continuum mechanics, the lure and attraction inherent in the subject may also recommend the book as a vehicle by which the student can obtain a broader appreciation of certain important methods and results from classical and modern analysis.

An Introduction To Mechanical Engineering

Author: Michael Clifford
Publisher: CRC Press
ISBN: 1466585447
Size: 66.81 MB
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An Introduction to Mechanical Engineering: Part 2 is an essential text for all second-year undergraduate students as well as those studying foundation degrees and HNDs. The text provides thorough coverage of the following core engineering topics: Fluid dynamics Thermodynamics Solid mechanics Control theory and techniques Mechanical power, loads and transmissions Structural vibration As well as mechanical engineers, the text will be highly relevant to automotive, aeronautical/aerospace and general engineering students. The material in this book has full student and lecturer support on an accompanying website at http://cw.tandf.co.uk/mechanicalengineering/, which includes: worked solutions for exam-style questions multiple-choice self-assessment revision material The text is written by an experienced team of lecturers at the internationally renowned University of Nottingham.

Turbulence

Author: Peter Davidson
Publisher: Oxford University Press, USA
ISBN: 0198722591
Size: 78.13 MB
Format: PDF, ePub, Mobi
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This is an advanced textbook on the subject of turbulence, and is suitable for engineers, physical scientists and applied mathematicians. The aim of the book is to bridge the gap between the elementary accounts of turbulence found in undergraduate texts, and the more rigorous monographs on the subject. Throughout, the book combines the maximum of physical insight with the minimum of mathematical detail. Chapters 1 to 5 may be appropriate as background material for an advanced undergraduate or introductory postgraduate course on turbulence, while chapters 6 to 10 may be suitable as background material for an advanced postgraduate course on turbulence, or act as a reference source for professional researchers. This second edition covers a decade of advancement in the field, streamlining the original content while updating the sections where the subject has moved on. The expanded content includes large-scale dynamics, stratified & rotating turbulence, the increased power of direct numerical simulation, two-dimensional turbulence, Magnetohydrodynamics, and turbulence in the core of the Earth

Numerical Analysis With Applications In Mechanics And Engineering

Author: Petre Teodorescu
Publisher: John Wiley & Sons
ISBN: 1118614623
Size: 79.77 MB
Format: PDF, Kindle
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A much-needed guide on how to use numerical methods to solvepractical engineering problems Bridging the gap between mathematics and engineering,Numerical Analysis with Applications in Mechanics andEngineering arms readers with powerful tools for solvingreal-world problems in mechanics, physics, and civil and mechanicalengineering. Unlike most books on numerical analysis, thisoutstanding work links theory and application, explains themathematics in simple engineering terms, and clearly demonstrateshow to use numerical methods to obtain solutions and interpretresults. Each chapter is devoted to a unique analytical methodology,including a detailed theoretical presentation and emphasis onpractical computation. Ample numerical examples and applicationsround out the discussion, illustrating how to work out specificproblems of mechanics, physics, or engineering. Readers will learnthe core purpose of each technique, develop hands-onproblem-solving skills, and get a complete picture of the studiedphenomenon. Coverage includes: How to deal with errors in numerical analysis Approaches for solving problems in linear and nonlinearsystems Methods of interpolation and approximation of functions Formulas and calculations for numerical differentiation andintegration Integration of ordinary and partial differential equations Optimization methods and solutions for programmingproblems Numerical Analysis with Applications in Mechanics andEngineering is a one-of-a-kind guide for engineers usingmathematical models and methods, as well as for physicists andmathematicians interested in engineering problems.

An Introduction To The Mechanics Of Fluids

Author: C. Truesdell
Publisher: Springer Science & Business Media
ISBN: 0817648461
Size: 74.24 MB
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A compact, moderately general book which encompasses many fluid models of current interest...The book is written very clearly and contains a large number of exercises and their solutions. The level of mathematics is that commonly taught to undergraduates in mathematics departments.. —Mathematical Reviews The book should be useful for graduates and researchers not only in applied mathematics and mechanical engineering but also in advanced materials science and technology...Each public scientific library as well as hydrodynamics hand libraries should own this timeless book...Everyone who decides to buy this book can be sure to have bought a classic of science and the heritage of an outstanding scientist. —Silikáty All applied mathematicians, mechanical engineers, aerospace engineers, and engineering mechanics graduates and researchers will find the book an essential reading resource for fluids. —Simulation News Europe

Mechanical Engineering Principles

Author: John Bird
Publisher: Routledge
ISBN: 0415517850
Size: 21.91 MB
Format: PDF, Mobi
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"Mechanical Engineering Principles offers a student-friendly introduction to core engineering topics that does not assume any previous background in engineering studies, and as such can act as a core textbook for several engineering courses. Bird and Ross introduce mechanical principles and technology through examples and applications rather than theory. This approach enables students to develop a sound understanding of the engineering principles and their use in practice. Theoretical concepts are supported by over 600 problems and 400 worked answers.The new edition will match up to the latest BTEC National specifications and can also be used on mechanical engineering courses from Levels 2 to 4"--

An Introduction To Modern Variational Techniques In Mechanics And Engineering

Author: Bozidar D. Vujanovic
Publisher: Springer Science & Business Media
ISBN: 9780817633998
Size: 49.73 MB
Format: PDF
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This book is devoted to the basic variational principles of mechanics, namely the Lagrange--D'Alembert differential variational principle and the Hamilton integral variational principle. These two variational principles form the basis of contemporary analytical mechanics, and from them the body of classical dynamics can be deductively derived as a part of physical theory."An Introduction to Modern Variational Techniques in Mechanics and Engineering" will serve a broad audience of students, researchers, and professionals in analytical mechanics, applied variational calculus, optimal control, physics, and mechanical and aerospace engineering. The book may be used in graduate and senior undergraduate dynamics courses in engineering, applied mathematics, and physics departments, or it may also serve as a self-study reference text.

Classical Mechanics

Author: Emmanuele DiBenedetto
Publisher: Springer Science & Business Media
ISBN: 9780817646486
Size: 37.30 MB
Format: PDF
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* Offers a rigorous mathematical treatment of mechanics as a text or reference * Revisits beautiful classical material, including gyroscopes, precessions, spinning tops, effects of rotation of the Earth on gravity motions, and variational principles * Employs mathematics not only as a "unifying" language, but also to exemplify its role as a catalyst behind new concepts and discoveries