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An Introduction to Mathematical Modeling

An Introduction to Mathematical Modeling

A Course in Mechanics

  • Author: J. Tinsley Oden
  • Publisher: John Wiley & Sons
  • ISBN: 1118105745
  • Category: Mathematics
  • Page: 348
  • View: 6949
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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.

Books in Series

Books in Series

  • Author: N.A
  • Publisher: N.A
  • ISBN: 9780835221092
  • Category: Monographic series
  • Page: 1756
  • View: 5486
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Mechanics

Mechanics

  • Author: P. Smith,R. C. Smith
  • Publisher: John Wiley & Sons
  • ISBN: 9780471927372
  • Category: Mathematics
  • Page: 321
  • View: 7886
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Mechanics Second Edition P. Smith Department of Mathematics University of Keele, UK and R.C. Smith Open University, UK A revised and updated edition of the authors' highly successful earlier book, this introductory text on Mechanics is designed to give a thorough grounding in particle dynamics and elementary rigid body dynamics. Aimed at first degree students in Mathematics, Physics, Chemistry and Engineering, the book is largely self-contained, including the necessary vector calculus, as well as background differential equations and numerical methods. Topics covered include kinematics, the principles of mechanics, work and energy, rocket dynamics, linear vibration theory, orbits, non-linear dynamics, and rotating frames. The theory and explanation are backed up by more than 360 examples and problems, with many worked through in full in the text. In this new edition, the chapter on vibrations has been completely revised and divided into two, and the original chapter on linear theory has been extended to include normal modes of multiple systems. A completely new chapter on non-linear dynamics has been added to illustrate such phenomena as limit cycles, period doubling and chaos in dynamical systems. Chapters on applications of particle dynamics and differential equations have also been re-organized. The text now includes many computer-generated diagrams.

Scientific and Technical Books in Print

Scientific and Technical Books in Print

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: Engineering
  • Page: N.A
  • View: 7661
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Theory of Differential Equations in Engineering and Mechanics

Theory of Differential Equations in Engineering and Mechanics

  • Author: Kam Tim Chau
  • Publisher: CRC Press
  • ISBN: 1498767796
  • Category: Mathematics
  • Page: 973
  • View: 5228
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This gives comprehensive coverage of the essential differential equations students they are likely to encounter in solving engineering and mechanics problems across the field -- alongside a more advance volume on applications. This first volume covers a very broad range of theories related to solving differential equations, mathematical preliminaries, ODE (n-th order and system of 1st order ODE in matrix form), PDE (1st order, 2nd, and higher order including wave, diffusion, potential, biharmonic equations and more). Plus more advanced topics such as Green’s function method, integral and integro-differential equations, asymptotic expansion and perturbation, calculus of variations, variational and related methods, finite difference and numerical methods. All readers who are concerned with and interested in engineering mechanics problems, climate change, and nanotechnology will find topics covered in these books providing valuable information and mathematics background for their multi-disciplinary research and education.

Encyclopedia of Coastal Science

Encyclopedia of Coastal Science

  • Author: Maurice Schwartz
  • Publisher: Springer Science & Business Media
  • ISBN: 1402038801
  • Category: Science
  • Page: 1213
  • View: 8717
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This new Encyclopedia of Coastal Science stands as the latest authoritative source in the field of coastal studies, making it the standard reference work for specialists and the interested lay person. Unique in its interdisciplinary approach. This Encyclopedia features contributions by 245 well-known international specialists in their respective fields and is abundantly illustrated with line-drawings and photographs. Not only does this volume offer an extensive number of entries, it also includes various appendices, an illustrated glossary of coastal morphology and extensive bibliographic listings.

American Scientist

American Scientist

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: Greek letter societies
  • Page: N.A
  • View: 9024
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Computer Modeling Applications for Environmental Engineers, Second Edition

Computer Modeling Applications for Environmental Engineers, Second Edition

  • Author: Mohammed Isam Mohammed Abdel-Magid
  • Publisher: CRC Press
  • ISBN: 1351650920
  • Category: Computers
  • Page: 530
  • View: 3488
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Computer Modeling Applications for Environmental Engineers in its second edition incorporates changes and introduces new concepts using Visual Basic.NET, a programming language chosen for its ease of comprehensive usage. This book offers a complete understanding of the basic principles of environmental engineering and integrates new sections that address Noise Pollution and Abatement and municipal solid-waste problem solving, financing of waste facilities, and the engineering of treatment methods that address sanitary landfill, biochemical processes, and combustion and energy recovery. Its practical approach serves to aid in the teaching of environmental engineering unit operations and processes design and demonstrates effective problem-solving practices that facilitate self-teaching. A vital reference for students and professional sanitary and environmental engineers this work also serves as a stand-alone problem-solving text with well-defined, real-work examples and explanations.

Analytical Mechanics

Analytical Mechanics

A Comprehensive Treatise on the Dynamics of Constrained Systems

  • Author: John G Papastavridis
  • Publisher: World Scientific
  • ISBN: 9814590363
  • Category: Mathematics
  • Page: 1416
  • View: 2473
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This is a comprehensive, state-of-the-art, treatise on the energetic mechanics of Lagrange and Hamilton, that is, classical analytical dynamics, and its principal applications to constrained systems (contact, rolling, and servoconstraints). It is a book on advanced dynamics from a unified viewpoint, namely, the kinetic principle of virtual work, or principle of Lagrange. As such, it continues, renovates, and expands the grand tradition laid by such mechanics masters as Appell, Maggi, Whittaker, Heun, Hamel, Chetaev, Synge, Pars, Luré, Gantmacher, Neimark, and Fufaev. Many completely solved examples complement the theory, along with many problems (all of the latter with their answers and many of them with hints). Although written at an advanced level, the topics covered in this 1400-page volume (the most extensive ever written on analytical mechanics) are eminently readable and inclusive. It is of interest to engineers, physicists, and mathematicians; advanced undergraduate and graduate students and teachers; researchers and professionals; all will find this encyclopedic work an extraordinary asset; for classroom use or self-study. In this edition, corrections (of the original edition, 2002) have been incorporated. Contents:IntroductionBackground: Basic Concepts and Equations of Particle and Rigid-Body MechanicsKinematics of Constrained SystemsKinetics of Constrained SystemsImpulsive MotionNonlinear Nonholonomic ConstraintsDifferential Variational Principles, and Associated Generalized Equations of Motion of Nielsen, Tsenov, et al.Time-Integral Theorems and Variational PrinciplesIntroduction to Hamiltonian/Canonical Methods: Equations of Hamilton and Routh; Canonical Formalism Readership: Students and researchers in engineering, physics, and applied mathematics. Key Features:No book of this scope (comprehensiveness and state-of-the-art level) has ever been written, in any language, there are no real competitors. This (like the author's other books) is an entirely original work; several of its topics are based on the author's own research, and appear for the first time in book formReadability (“reader friendliness”) in spite of its advanced levelEconomy of thinking: Unified treatment based on Lagrange's kinetic principle of virtual workSuperior and clear notation: both indicial and direct notations for vectors, Cartesian tensors etc.Self-contained exposition: All background mathematics and mechanics are summarized in the handbook like chapter 1Keywords:Analytical Mechanics;Classical Mechanics;Classical Dynamics;Theoretical Mechanics;Advanced Engineering Dynamics;Applied MechanicsReviews: “A monumental treatise … which is going to become a reference book on the subject … It should not be missed by anybody working in the area of analytical dynamics or only wanting to understand major problems of the subject … This landmark reference source … [is] the most comprehensive exposition available of the advanced engineering-oriented dynamics.” Zentralblatt für Math. “This unique treatise should be part of every scientific library and scholarly collection in engineering science.” IEEE Control Systems Magazine “I recommend without hesitation Prof Papastravridis' treatise as a reference source to be acquired by every library of Mathematics, Physics, or Mechanical/Aeronautical/Electrical Engineering department. It is a different book, especially in our Internet era where instant satisfaction is often the primary (sometimes sole) goal of the student or researcher. Putting together 1392 (!!) pages of carefully prepared text and 172 figures (which then become somehow sparse) represents a major effort, to say the least.” Bulletin of the American Mathematical Society “Recipient of the annual competition award, in engineering, of the Association of American Publishers.” The Outstanding Professional and Scholarly Titles of 2002 (March 2003) “Unique in Contents and Perspective … has no Competition in Depth and Breadth.” Dr George Simitses Professor of Engineering Science, Mechanics, and Aerospace Engineering University of Cincinatti and Georgia Institute of Technology, USA “Probably the best of its kind and likely to become standard reference.” Dr Alex Dalgarno FRS, member of US National Academy of Sciences, and “father of molecular astrophysics” and Phillips Professor of Astronomy, Harvard University, and Harvard-Smithsonian Center for Astrophysics, USA “The reviewer shares the author's statement that this book with its almost 1,400 pages is unique among the comparable treatises in the breadth and the depth of the covered material. Regarding technicalities — the students and the young scientists will find a lot of interesting examples and solved up to their very end problems. I recommend you to read this special book in analytical mechanics. It is a useful tool to undergraduate and graduate students, professors and researchers in the area of applied mechanics, engineering science, and mechanical, aerospace, and structural engineering, as well for the physicists and applied mathematicians.” Journal of Geometry and Symmetry in Physics

Partial Differential Equations

Partial Differential Equations

  • Author: Bhamra,Bhamra K. S.
  • Publisher: PHI Learning Pvt. Ltd.
  • ISBN: 8120339177
  • Category: Differential equations, Partial
  • Page: 561
  • View: 2170
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Methoden der Mathematischen Physik

Methoden der Mathematischen Physik

  • Author: Richard Courant,David Hilbert
  • Publisher: Springer-Verlag
  • ISBN: 366236445X
  • Category: Mathematics
  • Page: 454
  • View: 7908
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Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen. Dieser Titel erschien in der Zeit vor 1945 und wird daher in seiner zeittypischen politisch-ideologischen Ausrichtung vom Verlag nicht beworben.

Books in Print

Books in Print

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  • Publisher: N.A
  • ISBN: N.A
  • Category: American literature
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  • View: 8841
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Books in print is the major source of information on books currently published and in print in the United States. The database provides the record of forthcoming books, books in-print, and books out-of-print.

The Publishers' Trade List Annual

The Publishers' Trade List Annual

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  • Publisher: N.A
  • ISBN: N.A
  • Category: Publishers' catalogs
  • Page: N.A
  • View: 2147
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Paperbound Books in Print

Paperbound Books in Print

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  • Category: Paperbacks
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  • View: 5401
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Joyce in the Belly of the Big Truck; Workbook

Joyce in the Belly of the Big Truck; Workbook

  • Author: Joyce A. Cascio
  • Publisher: N.A
  • ISBN: 9780976237310
  • Category:
  • Page: N.A
  • View: 5321
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Books in Print Supplement

Books in Print Supplement

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  • Publisher: N.A
  • ISBN: N.A
  • Category: American literature
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Unsaturated Soil Mechanics in Engineering Practice

Unsaturated Soil Mechanics in Engineering Practice

  • Author: Delwyn G. Fredlund,Hendry Rahardjo,Murray D. Fredlund
  • Publisher: John Wiley & Sons
  • ISBN: 1118280504
  • Category: Technology & Engineering
  • Page: 944
  • View: 1427
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The definitive guide to unsaturated soil— from theworld's experts on the subject This book builds upon and substantially updates Fredlund andRahardjo's publication, Soil Mechanics for UnsaturatedSoils, the current standard in the field of unsaturated soils.It provides readers with more thorough coverage of the state of theart of unsaturated soil behavior and better reflects the manner inwhich practical unsaturated soil engineering problems are solved.Retaining the fundamental physics of unsaturated soil behaviorpresented in the earlier book, this new publication places greateremphasis on the importance of the "soil-water characteristic curve"in solving practical engineering problems, as well as thequantification of thermal and moisture boundary conditions based onthe use of weather data. Topics covered include: Theory to Practice of Unsaturated Soil Mechanics Nature and Phase Properties of Unsaturated Soil State Variables for Unsaturated Soils Measurement and Estimation of State Variables Soil-Water Characteristic Curves for Unsaturated Soils Ground Surface Moisture Flux Boundary Conditions Theory of Water Flow through Unsaturated Soils Solving Saturated/Unsaturated Water Flow Problems Air Flow through Unsaturated Soils Heat Flow Analysis for Unsaturated Soils Shear Strength of Unsaturated Soils Shear Strength Applications in Plastic and LimitEquilibrium Stress-Deformation Analysis for Unsaturated Soils Solving Stress-Deformation Problems with Unsaturated Soils Compressibility and Pore Pressure Parameters Consolidation and Swelling Processes in Unsaturated Soils Unsaturated Soil Mechanics in Engineering Practice isessential reading for geotechnical engineers, civil engineers, andundergraduate- and graduate-level civil engineering students with afocus on soil mechanics.

Subject Guide to Books in Print

Subject Guide to Books in Print

An Index to the Publishers' Trade List Annual

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  • Category: American literature
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The Cumulative Book Index

The Cumulative Book Index

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  • Category: American literature
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American Book Publishing Record

American Book Publishing Record

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  • Category: American literature
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