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Essentials of Mathematical Methods in Science and Engineering

Essentials of Mathematical Methods in Science and Engineering

  • Author: S. Selçuk Bayin
  • Publisher: John Wiley & Sons
  • ISBN: 1118626168
  • Category: Mathematics
  • Page: 802
  • View: 1709
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A complete introduction to the multidisciplinary applications of mathematical methods In order to work with varying levels of engineering and physics research, it is important to have a firm understanding of key mathematical concepts such as advanced calculus, differential equations, complex analysis, and introductory mathematical physics. Essentials of Mathematical Methods in Science and Engineering provides a comprehensive introduction to these methods under one cover, outlining basic mathematical skills while also encouraging students and practitioners to develop new, interdisciplinary approaches to their research. The book begins with core topics from various branches of mathematics such as limits, integrals, and inverse functions. Subsequent chapters delve into the analytical tools that are commonly used in scientific and engineering studies, including vector analysis, generalized coordinates, determinants and matrices, linear algebra, complex numbers, complex analysis, and Fourier series. The author provides an extensive chapter on probability theory with applications to statistical mechanics and thermodynamics that complements the following chapter on information theory, which contains coverage of Shannon's theory, decision theory, game theory, and quantum information theory. A comprehensive list of references facilitates further exploration of these topics. Throughout the book, numerous examples and exercises reinforce the presented concepts and techniques. In addition, the book is in a modular format, so each chapter covers its subject thoroughly and can be read independently. This structure affords flexibility for individualizing courses and teaching. Providing a solid foundation and overview of the various mathematical methods and applications in multidisciplinary research, Essentials of Mathematical Methods in Science and Engineering is an excellent text for courses in physics, science, mathematics, and engineering at the upper-undergraduate and graduate levels. It also serves as a useful reference for scientists and engineers who would like a practical review of mathematical methods.

Mathematical Physics

Mathematical Physics

Applied Mathematics for Scientists and Engineers

  • Author: Bruce R. Kusse,Erik A. Westwig
  • Publisher: John Wiley & Sons
  • ISBN: 3527618147
  • Category: Science
  • Page: 689
  • View: 2725
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What sets this volume apart from other mathematics texts is its emphasis on mathematical tools commonly used by scientists and engineers to solve real-world problems. Using a unique approach, it covers intermediate and advanced material in a manner appropriate for undergraduate students. Based on author Bruce Kusse's course at the Department of Applied and Engineering Physics at Cornell University, Mathematical Physics begins with essentials such as vector and tensor algebra, curvilinear coordinate systems, complex variables, Fourier series, Fourier and Laplace transforms, differential and integral equations, and solutions to Laplace's equations. The book moves on to explain complex topics that often fall through the cracks in undergraduate programs, including the Dirac delta-function, multivalued complex functions using branch cuts, branch points and Riemann sheets, contravariant and covariant tensors, and an introduction to group theory. This expanded second edition contains a new appendix on the calculus of variation -- a valuable addition to the already superb collection of topics on offer. This is an ideal text for upper-level undergraduates in physics, applied physics, physical chemistry, biophysics, and all areas of engineering. It allows physics professors to prepare students for a wide range of employment in science and engineering and makes an excellent reference for scientists and engineers in industry. Worked out examples appear throughout the book and exercises follow every chapter. Solutions to the odd-numbered exercises are available for lecturers at www.wiley-vch.de/textbooks/.

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: 5920
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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.

Introduction to Dynamics

Introduction to Dynamics

  • Author: I. C. Percival,D. Richards
  • Publisher: Cambridge University Press
  • ISBN: 9780521281492
  • Category: Mathematics
  • Page: 228
  • View: 5118
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A new approach to dynamics that takes account of recent advances that have wide applications in the sciences and engineering. It introduces the subject at an undergraduate level by means of elementary qualitative theory of differential equations, the geometry of phase curves, and the theory of stability.

Introductory Mathematics for Engineering Applications

Introductory Mathematics for Engineering Applications

  • Author: Kuldip S. Rattan,Nathan W. Klingbeil
  • Publisher: Wiley Global Education
  • ISBN: 111847659X
  • Category: Technology & Engineering
  • Page: 432
  • View: 5700
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Rattan and Klingbeil's Introductory Mathematics for Engineering Applications is designed to help improve engineering student success through application-driven, just-in-time engineering math instruction. Intended to be taught by engineering faculty rather than math faculty, the text emphasizes using math to solve engineering problems instead of focusing on derivations and theory. This text implements an applied approach to teaching math concepts that are essential to introductory engineering courses that has been proven to improve the retention of students in engineering majors from the first to second year and beyond.

Guide to Linear Algebra

Guide to Linear Algebra

  • Author: David A. Towers
  • Publisher: Macmillan International Higher Education
  • ISBN: 1349093181
  • Category: Algebra
  • Page: 220
  • View: 9588
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This textbook offers a carefully paced and sympathetic treatment of linear algebra, assuming knowledge only of the basic notation and elementary ideas of set theory. It progresses gradually to the more powerful and abstract notions of linear algebra, providing exercises which test and develop the reader's understanding at the end of each section. Full answers are given for most of the exercises to facilitate self-paced study.

Computational Contact Mechanics

Computational Contact Mechanics

  • Author: Peter Wriggers,Tod A. Laursen
  • Publisher: Springer Science & Business Media
  • ISBN: 9783211772980
  • Category: Technology & Engineering
  • Page: 248
  • View: 8418
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Topics of this book span the range from spatial and temporal discretization techniques for contact and impact problems with small and finite deformations over investigations on the reliability of micromechanical contact models over emerging techniques for rolling contact mechanics to homogenization methods and multi-scale approaches in contact problems.

System Reliability Theory

System Reliability Theory

Models and Statistical Methods

  • Author: Arnljot H?yland,Marvin Rausand
  • Publisher: John Wiley & Sons
  • ISBN: 0470317744
  • Category: Technology & Engineering
  • Page: 536
  • View: 9204
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A comprehensive introduction to reliability analysis. The first section provides a thorough but elementary prologue to reliability theory. The latter half comprises more advanced analytical tools including Markov processes, renewal theory, life data analysis, accelerated life testing and Bayesian reliability analysis. Features numerous worked examples. Each chapter concludes with a selection of problems plus additional material on applications.

Introduction to Computational Contact Mechanics

Introduction to Computational Contact Mechanics

A Geometrical Approach

  • Author: Alexander Konyukhov,Ridvan Izi
  • Publisher: John Wiley & Sons
  • ISBN: 1118770641
  • Category: Technology & Engineering
  • Page: 304
  • View: 6196
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Introduction to Computational Contact Mechanics: A Geometrical Approach covers the fundamentals of computational contact mechanics and focuses on its practical implementation. Part one of this textbook focuses on the underlying theory and covers essential information about differential geometry and mathematical methods which are necessary to build the computational algorithm independently from other courses in mechanics. The geometrically exact theory for the computational contact mechanics is described in step-by-step manner, using examples of strict derivation from a mathematical point of view. The final goal of the theory is to construct in the independent approximation form /so-called covariant form, including application to high-order and isogeometric finite elements. The second part of a book is a practical guide for programming of contact elements and is written in such a way that makes it easy for a programmer to implement using any programming language. All programming examples are accompanied by a set of verification examples allowing the user to learn the research verification technique, essential for the computational contact analysis. Key features: Covers the fundamentals of computational contact mechanics Covers practical programming, verification and analysis of contact problems Presents the geometrically exact theory for computational contact mechanics Describes algorithms used in well-known finite element software packages Describes modeling of forces as an inverse contact algorithm Includes practical exercises Contains unique verification examples such as the generalized Euler formula for a rope on a surface, and the impact problem and verification of thå percussion center Accompanied by a website hosting software Introduction to Computational Contact Mechanics: A Geometrical Approach is an ideal textbook for graduates and senior undergraduates, and is also a useful reference for researchers and practitioners working in computational mechanics.

MATHEMATICAL METHODS IN THE PHYSICAL SCIENCES, 3RD ED

MATHEMATICAL METHODS IN THE PHYSICAL SCIENCES, 3RD ED

  • Author: Boas
  • Publisher: John Wiley & Sons
  • ISBN: 9788126508105
  • Category: Mathematics
  • Page: 864
  • View: 8090
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Market_Desc: · Physicists and Engineers· Students in Physics and Engineering Special Features: · Covers everything from Linear Algebra, Calculus, Analysis, Probability and Statistics, to ODE, PDE, Transforms and more· Emphasizes intuition and computational abilities· Expands the material on DE and multiple integrals· Focuses on the applied side, exploring material that is relevant to physics and engineering· Explains each concept in clear, easy-to-understand steps About The Book: The book provides a comprehensive introduction to the areas of mathematical physics. It combines all the essential math concepts into one compact, clearly written reference. This book helps readers gain a solid foundation in the many areas of mathematical methods in order to achieve a basic competence in advanced physics, chemistry, and engineering.

Introduction to Contact Mechanics

Introduction to Contact Mechanics

  • Author: Anthony C. Fischer-Cripps
  • Publisher: Springer Science & Business Media
  • ISBN: 0387681884
  • Category: Technology & Engineering
  • Page: 226
  • View: 2562
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This book deals with the mechanics of solid bodies in contact, a subject intimately connected with such topics as fracture, hardness, and elasticity. Coverage begins with an introduction to the mechanical properties of materials, general fracture mechanics, and the fracture of brittle solids. It then provides a detailed description of indentation stress fields for both elastic and elastic-plastic contact. In addition, the book discusses the formation of Hertzian cone cracks in brittle materials, subsurface damage in ductile materials, and the meaning of hardness. Coverage concludes with an overview of practical methods of indentation testing.

Introduction to the Foundations of Applied Mathematics

Introduction to the Foundations of Applied Mathematics

  • Author: Mark H. Holmes
  • Publisher: Springer Science & Business Media
  • ISBN: 0387877657
  • Category: Mathematics
  • Page: 468
  • View: 4694
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FOAM. This acronym has been used for over ?fty years at Rensselaer to designate an upper-division course entitled, Foundations of Applied Ma- ematics. This course was started by George Handelman in 1956, when he came to Rensselaer from the Carnegie Institute of Technology. His objective was to closely integrate mathematical and physical reasoning, and in the p- cess enable students to obtain a qualitative understanding of the world we live in. FOAM was soon taken over by a young faculty member, Lee Segel. About this time a similar course, Introduction to Applied Mathematics, was introduced by Chia-Ch’iao Lin at the Massachusetts Institute of Technology. Together Lin and Segel, with help from Handelman, produced one of the landmark textbooks in applied mathematics, Mathematics Applied to - terministic Problems in the Natural Sciences. This was originally published in 1974, and republished in 1988 by the Society for Industrial and Applied Mathematics, in their Classics Series. This textbook comes from the author teaching FOAM over the last few years. In this sense, it is an updated version of the Lin and Segel textbook.

An Introduction to Continuum Mechanics

An Introduction to Continuum Mechanics

  • Author: J. N. Reddy,Junuthula Narasimha Reddy
  • Publisher: Cambridge University Press
  • ISBN: 1107025435
  • Category: Mathematics
  • Page: 470
  • View: 1373
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This best-selling textbook presents the concepts of continuum mechanics, and the second edition includes additional explanations, examples and exercises.

Computational Fluid-Structure Interaction

Computational Fluid-Structure Interaction

Methods and Applications

  • Author: Yuri Bazilevs,Kenji Takizawa,Tayfun E. Tezduyar
  • Publisher: John Wiley & Sons
  • ISBN: 111848357X
  • Category: Technology & Engineering
  • Page: 408
  • View: 4713
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Computational Fluid-Structure Interaction: Methods and Applications takes the reader from the fundamentals of computational fluid and solid mechanics to the state-of-the-art in computational FSI methods, special FSI techniques, and solution of real-world problems. Leading experts in the field present the material using a unique approach that combines advanced methods, special techniques, and challenging applications. This book begins with the differential equations governing the fluid and solid mechanics, coupling conditions at the fluid–solid interface, and the basics of the finite element method. It continues with the ALE and space–time FSI methods, spatial discretization and time integration strategies for the coupled FSI equations, solution techniques for the fully-discretized coupled equations, and advanced FSI and space–time methods. It ends with special FSI techniques targeting cardiovascular FSI, parachute FSI, and wind-turbine aerodynamics and FSI. Key features: First book to address the state-of-the-art in computational FSI Combines the fundamentals of computational fluid and solid mechanics, the state-of-the-art in FSI methods, and special FSI techniques targeting challenging classes of real-world problems Covers modern computational mechanics techniques, including stabilized, variational multiscale, and space–time methods, isogeometric analysis, and advanced FSI coupling methods Is in full color, with diagrams illustrating the fundamental concepts and advanced methods and with insightful visualization illustrating the complexities of the problems that can be solved with the FSI methods covered in the book. Authors are award winning, leading global experts in computational FSI, who are known for solving some of the most challenging FSI problems Computational Fluid-Structure Interaction: Methods and Applications is a comprehensive reference for researchers and practicing engineers who would like to advance their existing knowledge on these subjects. It is also an ideal text for graduate and senior-level undergraduate courses in computational fluid mechanics and computational FSI.

Applied Mathematics for Science and Engineering

Applied Mathematics for Science and Engineering

  • Author: Larry A. Glasgow
  • Publisher: John Wiley & Sons
  • ISBN: 1118749839
  • Category: Technology & Engineering
  • Page: 256
  • View: 3444
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Prepare students for success in using applied mathematics for engineering practice and post-graduate studies • moves from one mathematical method to the next sustaining reader interest and easing the application of the techniques • Uses different examples from chemical, civil, mechanical and various other engineering fields • Based on a decade’s worth of the authors lecture notes detailing the topic of applied mathematics for scientists and engineers • Concisely writing with numerous examples provided including historical perspectives as well as a solutions manual for academic adopters

Books in Series

Books in Series

  • Author: N.A
  • Publisher: N.A
  • ISBN: 9780835221092
  • Category: Monographic series
  • Page: 1756
  • View: 2774
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Mathematics for scientists and engineers

Mathematics for scientists and engineers

  • Author: Harold Cohen
  • Publisher: N.A
  • ISBN: N.A
  • Category: Mathematics
  • Page: 783
  • View: 7459
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Introduction to Finite Strain Theory for Continuum Elasto-Plasticity

Introduction to Finite Strain Theory for Continuum Elasto-Plasticity

  • Author: Koichi Hashiguchi,Yuki Yamakawa
  • Publisher: John Wiley & Sons
  • ISBN: 1118437721
  • Category: Science
  • Page: 440
  • View: 2600
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Comprehensive introduction to finite elastoplasticity, addressing various analytical and numerical analyses & including state-of-the-art theories Introduction to Finite Elastoplasticity presents introductory explanations that can be readily understood by readers with only a basic knowledge of elastoplasticity, showing physical backgrounds of concepts in detail and derivation processes of almost all equations. The authors address various analytical and numerical finite strain analyses, including new theories developed in recent years, and explain fundamentals including the push-forward and pull-back operations and the Lie derivatives of tensors. As a foundation to finite strain theory, the authors begin by addressing the advanced mathematical and physical properties of continuum mechanics. They progress to explain a finite elastoplastic constitutive model, discuss numerical issues on stress computation, implement the numerical algorithms for stress computation into large-deformation finite element analysis and illustrate several numerical examples of boundary-value problems. Programs for the stress computation of finite elastoplastic models explained in this book are included in an appendix, and the code can be downloaded from an accompanying website.

Applications of Mathematical Heat Transfer and Fluid Flow Models in Engineering and Medicine

Applications of Mathematical Heat Transfer and Fluid Flow Models in Engineering and Medicine

  • Author: Abram S. Dorfman
  • Publisher: John Wiley & Sons
  • ISBN: 1119320569
  • Category: Technology & Engineering
  • Page: 456
  • View: 2158
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Applications of mathematical heat transfer and fluid flow models in engineering and medicine Abram S. Dorfman, University of Michigan, USA Engineering and medical applications of cutting-edge heat and flow models This book presents innovative efficient methods in fluid flow and heat transfer developed and widely used over the last fifty years. The analysis is focused on mathematical models which are an essential part of any research effort as they demonstrate the validity of the results obtained. The universality of mathematics allows consideration of engineering and biological problems from one point of view using similar models. In this book, the current situation of applications of modern mathematical models is outlined in three parts. Part I offers in depth coverage of the applications of contemporary conjugate heat transfer models in various industrial and technological processes, from aerospace and nuclear reactors to drying and food processing. In Part II the theory and application of two recently developed models in fluid flow are considered: the similar conjugate model for simulation of biological systems, including flows in human organs, and applications of the latest developments in turbulence simulation by direct solution of Navier-Stokes equations, including flows around aircraft. Part III proposes fundamentals of laminar and turbulent flows and applied mathematics methods. The discussion is complimented by 365 examples selected from a list of 448 cited papers, 239 exercises and 136 commentaries. Key features: Peristaltic flows in normal and pathologic human organs. Modeling flows around aircraft at high Reynolds numbers. Special mathematical exercises allow the reader to complete expressions derivation following directions from the text. Procedure for preliminary choice between conjugate and common simple methods for particular problem solutions. Criterions of conjugation, definition of semi-conjugate solutions. This book is an ideal reference for graduate and post-graduate students and engineers.

Linear Algebra: Volume 2

Linear Algebra: Volume 2

An Introduction with Concurrent Examples

  • Author: A. G. Hamilton
  • Publisher: Cambridge University Press
  • ISBN: 9780521310420
  • Category: Mathematics
  • Page: 328
  • View: 3919
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Emphasis is placed on applications in preference to more theoretical aspects throughout this readable introduction to linear algebra for specialists as well as non-specialists. An expanded version of A First Course in Linear Algebra.