Vectors, Tensors and the Basic Equations of Fluid Mechanics


Author: Rutherford Aris
Publisher: Courier Corporation
ISBN: 048613489X
Category: Mathematics
Page: 320
View: 4492

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Introductory text, geared toward advanced undergraduate and graduate students, applies mathematics of Cartesian and general tensors to physical field theories and demonstrates them in terms of the theory of fluid mechanics. 1962 edition.

Journey into Mathematics

An Introduction to Proofs
Author: Joseph J. Rotman
Publisher: Courier Corporation
ISBN: 0486151689
Category: Mathematics
Page: 256
View: 1691

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This treatment covers the mechanics of writing proofs, the area and circumference of circles, and complex numbers and their application to real numbers. 1998 edition.

Partial Differential Equations of Mathematical Physics and Integral Equations


Author: Ronald B. Guenther,John W. Lee
Publisher: Courier Corporation
ISBN: 0486137627
Category: Mathematics
Page: 576
View: 2485

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Superb treatment for math and physical science students discusses modern mathematical techniques for setting up and analyzing problems. Discusses partial differential equations of the 1st order, elementary modeling, potential theory, parabolic equations, more. 1988 edition.

A History and Philosophy of Fluid Mechanics


Author: G. A. Tokaty
Publisher: Courier Corporation
ISBN: 9780486681030
Category: Technology & Engineering
Page: 241
View: 4194

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Through the centuries, the intricacies of fluid mechanics — the study of the laws of motion and fluids in motion — have occupied many of history's greatest minds. In this pioneering account, a distinguished aeronautical scientist presents a history of fluid mechanics focusing on the achievements of the pioneering scientists and thinkers whose inspirations and experiments lay behind the evolution of such disparate devices as irrigation lifts, ocean liners, windmills, fireworks and spacecraft. The author first presents the basics of fluid mechanics, then explores the advances made through the work of such gifted thinkers as Plato, Aristotle, da Vinci, Galileo, Pascal, Newton, Bernoulli, Euler, Lagrange, Ernst Mach and other scientists of the 20th century. Especially important for its illuminating comparison of the development of fluid mechanics in the former Soviet Union with that in the West, the book concludes with studies of transsonic compressibility and aerodynamics, supersonic fluid mechanics, hypersonic gas dynamics and the universal matter-energy continuity. Professor G. A. Tokaty has headed the prestigious Aeronautical Research Laboratory at the Zhukovsky Academy of Aeronautics in Moscow, and has taught at the University of California, Los Angeles. He is Emeritus Professor of Aeronautics and Space Technology, The City University, London. 161 illustrations. Preface.

Special Functions and Their Applications


Author: Nikola? Nikolaevich Lebedev,Richard A. Silverman
Publisher: Courier Corporation
ISBN: 9780486606248
Category: Mathematics
Page: 308
View: 8224

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The Russian mathematician views the theoretical and practical aspects of special functions and illustrates their significance in problem solving in physics and engineering

Mathematical Games and How to Play Them


Author: Steven Vajda
Publisher: Courier Corporation
ISBN: N.A
Category: Mathematics
Page: 128
View: 8388

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This refreshingly authoritative look at recreational mathematics illustrates winning strategies that use the methods of algebra, geometry, combinatorics, number theory, graph theory, and other branches of mathematics. Its lucid analyses of the rules and theories of mathematical games include skill-enhancing exercises, plus references, appendixes, and detailed explanations. 1992 edition.

Advanced Calculus of Several Variables


Author: Charles Henry Edwards
Publisher: Courier Corporation
ISBN: 9780486683362
Category: Mathematics
Page: 457
View: 5174

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Modern conceptual treatment of multivariable calculus, emphasizing the interplay of geometry and analysis via linear algebra and the approximation of nonlinear mappings by linear ones. At the same time, ample attention is paid to the classical applications and computational methods. Hundreds of examples, problems and figures. 1973 edition.

Illustrating Nature

How to Paint and Draw Plants and Animals
Author: Dot Barlowe,Sy Barlowe
Publisher: Courier Corporation
ISBN: 9780486299211
Category: Art
Page: 111
View: 6184

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The thrill of recapturing scenes from nature can translate into a rewarding career or an invigorating pastime. Both professionals and hobbyists will benefit from this expert, step-by-step guide, which shows how to draw every aspect of nature, from lush swampland vegetation to shy forest dwellers and even prehistoric creatures. You'll find expert discussions of a variety of media--pencil, watercolors, oils, acrylics, scratch board, and pen-and-ink--along with practical advice on how to choose the best method of portraying a particular subject, especially for book or magazine illustration. The authors also consider the difficulties of combining artistic effect with scientific accuracy in rendering color, texture, and form. Helpful individual demonstration projects carefully guide the reader toward mastery of specific techniques. Enhanced with over 400 illustrations and a wealth of tips and suggestions for improving style and presentation, this book is a rich and engaging resource for amateurs and professionals alike. Unabridged Dover (1997) republication of the work published by the Viking Press, New York, 1982.

First-order Logic


Author: Raymond M. Smullyan
Publisher: Courier Corporation
ISBN: 9780486683706
Category: Mathematics
Page: 158
View: 8428

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Considered the best book in the field, this completely self-contained study is both an introduction to quantification theory and an exposition of new results and techniques in "analytic" or "cut free" methods. The focus in on the tableau point of view. Topics include trees, tableau method for propositional logic, Gentzen systems, more. Includes 144 illustrations.

Topological Spaces

Including a Treatment of Multi-valued Functions, Vector Spaces, and Convexity
Author: Claude Berge
Publisher: Courier Corporation
ISBN: 9780486696539
Category: Mathematics
Page: 270
View: 9047

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Excellent study of sets in topological spaces and topological vector spaces includes systematic development of the properties of multi-valued functions. Topics include families of sets, topological spaces, mappings of one set into another, ordered sets, more. Examples included from different domains. 1963 edition.

An Introduction to Algebraic Structures


Author: Joseph Landin
Publisher: Courier Corporation
ISBN: 9780486659404
Category: Mathematics
Page: 247
View: 8950

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As the author notes in the preface, "The purpose of this book is to acquaint a broad spectrum of students with what is today known as 'abstract algebra.'" Written for a one-semester course, this self-contained text includes numerous examples designed to base the definitions and theorems on experience, to illustrate the theory with concrete examples in familiar contexts, and to give the student extensive computational practice.The first three chapters progress in a relatively leisurely fashion and include abundant detail to make them as comprehensible as possible. Chapter One provides a short course in sets and numbers for students lacking those prerequisites, rendering the book largely self-contained. While Chapters Four and Five are more challenging, they are well within the reach of the serious student.The exercises have been carefully chosen for maximum usefulness. Some are formal and manipulative, illustrating the theory and helping to develop computational skills. Others constitute an integral part of the theory, by asking the student to supply proofs or parts of proofs omitted from the text. Still others stretch mathematical imaginations by calling for both conjectures and proofs.Taken together, text and exercises comprise an excellent introduction to the power and elegance of abstract algebra. Now available in this inexpensive edition, the book is accessible to a wide range of students, who will find it an exceptionally valuable resource. Unabridged, corrected Dover (1989) republication of the edition published by Allyn and Bacon, Boston, 1969.

Plasticity Theory


Author: Jacob Lubliner
Publisher: Courier Corporation
ISBN: 0486318206
Category: Technology & Engineering
Page: 544
View: 9766

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The aim of Plasticity Theory is to provide a comprehensive introduction to the contemporary state of knowledge in basic plasticity theory and to its applications. It treats several areas not commonly found between the covers of a single book: the physics of plasticity, constitutive theory, dynamic plasticity, large-deformation plasticity, and numerical methods, in addition to a representative survey of problems treated by classical methods, such as elastic-plastic problems, plane plastic flow, and limit analysis; the problem discussed come from areas of interest to mechanical, structural, and geotechnical engineers, metallurgists and others. The necessary mathematics and basic mechanics and thermodynamics are covered in an introductory chapter, making the book a self-contained text suitable for advanced undergraduates and graduate students, as well as a reference for practitioners of solid mechanics.

Continuum Mechanics


Author: A. J. M. Spencer
Publisher: Courier Corporation
ISBN: 0486139476
Category: Science
Page: 192
View: 6317

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Undergraduate text offers an analysis of deformation and stress, covers laws of conservation of mass, momentum, and energy, and surveys the formulation of mechanical constitutive equations. 1992 edition.

Differential Geometry


Author: Heinrich W. Guggenheimer
Publisher: Courier Corporation
ISBN: 0486157202
Category: Mathematics
Page: 400
View: 9412

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This text contains an elementary introduction to continuous groups and differential invariants; an extensive treatment of groups of motions in euclidean, affine, and riemannian geometry; more. Includes exercises and 62 figures.

Introduction to Mathematical Fluid Dynamics


Author: Richard E. Meyer
Publisher: Courier Corporation
ISBN: 9780486615547
Category: Science
Page: 185
View: 7450

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An introduction to the behavior of liquids and gases, this volume provides excellent coverage of kinematics, momentum principle, Newtonian fluid, rotating fluids, compressibility, and more. It is geared toward advanced undergraduate and graduate students of mathematics and general science, and it requires a background in calculus and vector analysis. 1971 edition.

Continuum Mechanics

Concise Theory and Problems
Author: P. Chadwick
Publisher: Courier Corporation
ISBN: 048613914X
Category: Science
Page: 200
View: 6864

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DIVComprehensive treatment offers 115 solved problems and exercises to promote understanding of vector and tensor theory, basic kinematics, balance laws, field equations, jump conditions, and constitutive equations. /div

Tensor Calculus


Author: J. L. Synge,A. Schild
Publisher: Courier Corporation
ISBN: 048614139X
Category: Mathematics
Page: 336
View: 2770

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Fundamental introduction of absolute differential calculus and for those interested in applications of tensor calculus to mathematical physics and engineering. Topics include spaces and tensors; basic operations in Riemannian space, curvature of space, more.

Introduction to Continuum Mechanics


Author: W Michael Lai,David H. Rubin,David Rubin,Erhard Krempl
Publisher: Butterworth-Heinemann
ISBN: 0080942520
Category: Science
Page: 536
View: 484

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Continuum Mechanics is a branch of physical mechanics that describes the macroscopic mechanical behavior of solid or fluid materials considered to be continuously distributed. It is fundamental to the fields of civil, mechanical, chemical and bioengineering. This time-tested text has been used for over 35 years to introduce junior and senior-level undergraduate engineering students, as well as graduate students, to the basic principles of continuum mechanics and their applications to real engineering problems. The text begins with a detailed presentation of the coordinate invariant quantity, the tensor, introduced as a linear transformation. This is then followed by the formulation of the kinematics of deformation, large as well as very small, the description of stresses and the basic laws of continuum mechanics. As applications of these laws, the behaviors of certain material idealizations (models) including the elastic, viscous and viscoelastic materials, are presented. This new edition offers expanded coverage of the subject matter both in terms of details and contents, providing greater flexibility for either a one or two-semester course in either continuum mechanics or elasticity. Although this current edition has expanded the coverage of the subject matter, it nevertheless uses the same approach as that in the earlier editions - that one can cover advanced topics in an elementary way that go from simple to complex, using a wealth of illustrative examples and problems. It is, and will remain, one of the most accessible textbooks on this challenging engineering subject. Significantly expanded coverage of elasticity in Chapter 5, including solutions of some 3-D problems based on the fundamental potential functions approach. New section at the end of Chapter 4 devoted to the integral formulation of the field equations Seven new appendices appear at the end of the relevant chapters to help make each chapter more self-contained Expanded and improved problem sets providing both intellectual challenges and engineering applications