vectors tensors and the basic equations of fluid mechanics dover books on mathematics

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Vectors Tensors And The Basic Equations Of Fluid Mechanics

Author : Rutherford Aris
ISBN : 9780486134895
Genre : Mathematics
File Size : 70. 70 MB
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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.

Illustrating Nature

Author : Dot Barlowe
ISBN : 048629921X
Genre : Art
File Size : 70. 78 MB
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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
ISBN : 0486683702
Genre : Mathematics
File Size : 65. 53 MB
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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.

Journey Into Mathematics

Author : Joseph J. Rotman
ISBN : 9780486151687
Genre : Mathematics
File Size : 23. 63 MB
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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.

Crc Concise Encyclopedia Of Mathematics Second Edition

Author : Eric W. Weisstein
ISBN : 9781420035223
Genre : Mathematics
File Size : 57. 36 MB
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Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the dedication of author Eric Weisstein to collecting, cataloging, and referencing mathematical facts, formulas, and definitions. He has now updated most of the original entries and expanded the Encyclopedia to include 1000 additional pages of illustrated entries. The accessibility of the Encyclopedia along with its broad coverage and economical price make it attractive to the widest possible range of readers and certainly a must for libraries, from the secondary to the professional and research levels. For mathematical definitions, formulas, figures, tabulations, and references, this is simply the most impressive compendium available.

Special Functions And Their Applications

Author : Nikola? Nikolaevich Lebedev
ISBN : 0486606244
Genre : Mathematics
File Size : 61. 31 MB
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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

A History And Philosophy Of Fluid Mechanics

Author : G. A. Tokaty
ISBN : 0486681033
Genre : Technology & Engineering
File Size : 41. 79 MB
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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.

An Introduction To Algebraic Structures

Author : Joseph Landin
ISBN : 0486659402
Genre : Mathematics
File Size : 89. 33 MB
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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.

Topological Spaces

Author : Claude Berge
ISBN : 0486696537
Genre : Mathematics
File Size : 74. 50 MB
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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.

Advanced Calculus Of Several Variables

Author : Charles Henry Edwards
ISBN : 0486683362
Genre : Mathematics
File Size : 42. 30 MB
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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.

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