Vectors, Tensors and the Basic Equations of Fluid Mechanics

Author: Rutherford Aris

Publisher: Courier Corporation

ISBN: 048613489X

Category: Mathematics

Page: 320

View: 859

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.
Posted in Mathematics

Journey into Mathematics

An Introduction to Proofs

Author: Joseph J. Rotman

Publisher: Courier Corporation

ISBN: 0486151689

Category: Mathematics

Page: 256

View: 2463

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.
Posted in Mathematics

A History and Philosophy of Fluid Mechanics

Author: G. A. Tokaty

Publisher: Courier Corporation

ISBN: 9780486681030

Category: Technology & Engineering

Page: 241

View: 5918

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.
Posted in Technology & Engineering

Special Functions and Their Applications

Author: Nikola? Nikolaevich Lebedev,Richard A. Silverman

Publisher: Courier Corporation

ISBN: 9780486606248

Category: Mathematics

Page: 308

View: 7779

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

Stability & Periodic Solutions of Ordinary & Functional Differential Equations

Author: T. A. Burton

Publisher: Courier Corporation

ISBN: 0486442543

Category: Mathematics

Page: 342

View: 1059

This book's discussion of a broad class of differential equations will appeal to professionals as well as graduate students. Beginning with the structure of the solution space and the stability and periodic properties of linear ordinary and Volterra differential equations, the text proceeds to an extensive collection of applied problems. The background for and application to differential equations of the fixed-point theorems of Banach, Brouwer, Browder, Horn, Schauder, and Tychonov are examined, in addition to those of the asymptotic fixed-point theorems. The text concludes with a unified presentation of the basic stability and periodicity theory for nonlinear ordinary and functional differential equations.
Posted in Mathematics

Mechanische Schwingungen

Author: Jacob P. DenHartog

Publisher: Springer-Verlag

ISBN: 3662124440

Category: Science

Page: 427

View: 4518

Die amerikanische Ausgabe dieses Buches erschien 1947 in der dritten, nicht unwesentlich erweiterten Auflage. Der Verfasser erwähnt in seinem Vorwort, daß es ursprünglich aus dem Text von Vorlesungen an der Design School der W estinghouse Company entstand und zu nächst für den Unterrichtsgebrauch an der Harvard Engineering School herausgegeben wurde. In die Neuauflage wurden neue Veröffentlichungen und eigene Erfahrungen eingearbeitet. Im Vorwort der deutschen Erstauflage (1936) wurde darauf hin gewiesen, daß das vorliegende Buch eine glückliche, dem ingenieur mäßigen Denken entsprechende Anschaulichkeit hat. Der Verfasser ver meidet es, lediglich Gebrauchsanweisungen für Rechenvorschriften zu geben; andererseits verzichtet er auf die Ausarbeitung der vollstän digen, strengen Theorie. Er versteht es, dem Leser die wesentlichen Zusammenhänge auch verwickelter Erscheinungen plausibel zu machen. So vermittelt die Darstellung nicht einen höheren theoreti schen Überblick, sondern leitet den Leser mit einfacher mathematischer oder anschaulicher mechanischer Begründung auf einen Weg, der in praktischen Schwingungsfragen zur zahlenmäßigen Lösung, mindestens aber zu einer guten Annäherung der "exakten" Lösung führt. Eine Fülle von Beispielen und Aufgaben regt dazu an, die Beherrschung der dargelegten Rechenverfahren zu erproben und zu vertiefen. Aus diesen Gründen erfolgte die Übersetzung in die deutsche Sprache. Inzwischen ist die amerikanische Ausgabe mit großem Erfolg im Hochschulunterricht eingesetzt worden. Den deutschen Leser inter essiert vielleicht der Hinweis, daß der Hochschulunterricht in Amerika von der europäischen Art sehr verschieden ist. Die Vorlesungen werden nach einem bestimmten "Textbuch" gelesen.
Posted in Science

Continuum Mechanics

Author: A. J. M. Spencer

Publisher: Courier Corporation

ISBN: 0486139476

Category: Science

Page: 192

View: 6772

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.
Posted in Science

Mathematical Games and How to Play Them

Author: Steven Vajda

Publisher: Courier Corporation

ISBN: N.A

Category: Mathematics

Page: 128

View: 4273

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.
Posted in Mathematics

Advanced Calculus of Several Variables

Author: Charles Henry Edwards

Publisher: Courier Corporation

ISBN: 9780486683362

Category: Mathematics

Page: 457

View: 3101

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.
Posted in Mathematics

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: 9637

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.
Posted in Art

First-order Logic

Author: Raymond M. Smullyan

Publisher: Courier Corporation

ISBN: 9780486683706

Category: Mathematics

Page: 158

View: 6028

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.
Posted in Mathematics

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: 6274

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.
Posted in Mathematics

Plasticity Theory

Author: Jacob Lubliner

Publisher: Courier Corporation

ISBN: 0486318206

Category: Technology & Engineering

Page: 544

View: 2372

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.
Posted in Technology & Engineering

An Introduction to Algebraic Structures

Author: Joseph Landin

Publisher: Courier Corporation

ISBN: 9780486659404

Category: Mathematics

Page: 247

View: 9182

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.
Posted in Mathematics

Continuum Mechanics

Concise Theory and Problems

Author: P. Chadwick

Publisher: Courier Corporation

ISBN: 048613914X

Category: Science

Page: 200

View: 6465

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
Posted in Science

Differential Geometry

Author: Heinrich W. Guggenheimer

Publisher: Courier Corporation

ISBN: 0486157202

Category: Mathematics

Page: 400

View: 3726

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.
Posted in Mathematics

Tensor Calculus

Author: J. L. Synge,A. Schild

Publisher: Courier Corporation

ISBN: 048614139X

Category: Mathematics

Page: 336

View: 3035

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.
Posted in Mathematics

Grundlagen der Strömungsmechanik

Eine Einführung in die Theorie der Strömung von Fluiden

Author: Franz Durst

Publisher: Springer-Verlag

ISBN: 3540313249

Category: Science

Page: 758

View: 6262

Dieses Lehrbuch stützt sich auf mathematische und physikalische Grundkenntnisse von Studenten mittlerer Semester. Es erläutert den Zusammenhang moderner Strömungsmechanik zur technischen Mechanik und bezieht moderne Mess- und numerische Berechnungsverfahren ein. Jedes Kapitel enthält den Stoff einer einwöchigen Vorlesung, der so aufgebaut ist, dass er Studenten an die jeweilige Spezialliteratur heranführt.
Posted in Science