Problems and Worked Solutions in Vector Analysis

Author: L.R. Shorter

Publisher: Courier Corporation

ISBN: 0486780813

Category: Mathematics

Page: 368

View: 7281

"A handy book like this," noted The Mathematical Gazette, "will fill a great want." Devoted to fully worked out examples, this unique text constitutes a self-contained introductory course in vector analysis for undergraduate and graduate students of applied mathematics. Opening chapters define vector addition and subtraction, show how to resolve and determine the direction of two or more vectors, and explain systems of coordinates, vector equations of a plane and straight line, relative velocity and acceleration, and infinitely small vectors. The following chapters deal with scalar and vector multiplication, axial and polar vectors, areas, differentiation of vector functions, gradient, curl, divergence, and analytical properties of the position vector. Applications of vector analysis to dynamics and physics are the focus of the final chapter, including such topics as moving rigid bodies, energy of a moving rigid system, central forces, equipotential surfaces, Gauss's theorem, and vector flow. Dover (2014) republication of Introduction to Vector Analysis, originally published by Macmillan and Company, Ltd., London, 1931. See every Dover book in print at www.doverpublications.com
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Vector and Tensor Analysis with Applications

Author: A. I. Borisenko,I. E. Tarapov

Publisher: Courier Corporation

ISBN: 0486131904

Category: Mathematics

Page: 288

View: 5155

Concise, readable text ranges from definition of vectors and discussion of algebraic operations on vectors to the concept of tensor and algebraic operations on tensors. Worked-out problems and solutions. 1968 edition.
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Finite-Elemente-Methoden

Author: Klaus-Jürgen Bathe

Publisher: Springer Verlag

ISBN: 9783540668060

Category: Technology & Engineering

Page: 1253

View: 4427

Dieses Lehr- und Handbuch behandelt sowohl die elementaren Konzepte als auch die fortgeschrittenen und zukunftsweisenden linearen und nichtlinearen FE-Methoden in Statik, Dynamik, Festkörper- und Fluidmechanik. Es wird sowohl der physikalische als auch der mathematische Hintergrund der Prozeduren ausführlich und verständlich beschrieben. Das Werk enthält eine Vielzahl von ausgearbeiteten Beispielen, Rechnerübungen und Programmlisten. Als Übersetzung eines erfolgreichen amerikanischen Lehrbuchs hat es sich in zwei Auflagen auch bei den deutschsprachigen Ingenieuren etabliert. Die umfangreichen Änderungen gegenüber der Vorauflage innerhalb aller Kapitel - vor allem aber der fortgeschrittenen - spiegeln die rasche Entwicklung innerhalb des letzten Jahrzehnts auf diesem Gebiet wieder.
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Analysis I

Author: Wolfgang Walter

Publisher: Springer-Verlag

ISBN: 3662057085

Category: Mathematics

Page: 388

View: 5097

Das vorliegende Buch ist der erste Band eines zweibändigen Werkes über Analysis und behandelt die Funktionen einer reellen Veränderlichen. In der komplexen Analysis beschränkt es sich im wesentlichen auf Potenzreihen. Es enthält insbesondere den Stoff, welcher üblicherweise im ersten Semester einer einführenden Analysis-Vorlesung für Mathematiker, Physiker und Informatiker geboten wird, und geht an einigen Stellen darüber hinaus. Das Buch wendet sich an Studenten, denen es sich als ein hilfreicher Begleiter der Vorlesung und eine Quelle zur Vertiefung des Gegenstandes anbietet, an die im Beruf stehen den Mathematiker, besonders an die Lehrer an weiterführenden Schulen, und schließlich an alle, die etwas über die Analysis und ihre Bedeutung im größeren naturwissenschaftlichen und kulturellen Zusammenhang erfahren möchten. Damit sind wir bei einem wesentlichen Anliegen der Lehrbuchreihe "Grundwissen Mathematik", dem historischen Bezug. Die mathematischen Be griffe und Inhalte der Analysis sind nicht vom Himmel der reinen Erkenntnis gefallen, und kein Denker im Elfenbeinturm hat sie ersonnen. Die europäische Geistesgeschichte beginnt dort, wo Natur nicht mehr als rätselhaftes, von un heimlichen höheren Mächten gesteuertes Geschehen, sondern als rational erklärbar verstanden wird: bei den jonischen Philosophen des 6. vorchrist lichen Jahrhunderts. Die Analysis ist entstanden in der Verfolgung dieses Zie les, die Welt rational zu durchdringen und ihre Gesetzmäßigkeiten zu finden. Ihre Geschichte ist ein Stück Kulturgeschichte.
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Kronecker Products and Matrix Calculus with Applications

Author: Alexander Graham

Publisher: Courier Dover Publications

ISBN: 0486824179

Category: Mathematics

Page: 144

View: 2192

Enhanced by many worked examples, problems, and solutions, this in-depth text is suitable for undergraduates and presents a great deal of information previously only available in specialized and hard-to-find texts. 1981 edition.
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Introduction to Linear Algebra and Differential Equations

Author: John W. Dettman

Publisher: Courier Corporation

ISBN: 9780486651910

Category: Mathematics

Page: 404

View: 8088

Excellent introductory text for students with one year of calculus. Topics include complex numbers, determinants, orthonormal bases, symmetric and hermitian matrices, first order non-linear equations, linear differential equations, Laplace transforms, Bessel functions and boundary-value problems. Includes 48 black-and-white illustrations. Exercises with solutions. Index.
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A History of Vector Analysis

The Evolution of the Idea of a Vectorial System

Author: Michael J. Crowe

Publisher: Courier Corporation

ISBN: 0486679101

Category: Mathematics

Page: 270

View: 8281

Prize-winning study traces the rise of the vector concept from the discovery of complex numbers through the systems of hypercomplex numbers to the final acceptance around 1910 of the modern system of vector analysis.
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Methods of Applied Mathematics

Author: Francis B. Hildebrand

Publisher: Courier Corporation

ISBN: 0486138380

Category: Science

Page: 362

View: 6262

Offering a number of mathematical facts and techniques not commonly treated in courses in advanced calculus, this book explores linear algebraic equations, quadratic and Hermitian forms, the calculus of variations, more.
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Numerical Methods for Two-Point Boundary-Value Problems

Author: Herbert B. Keller

Publisher: Courier Dover Publications

ISBN: 0486828344

Category: Mathematics

Page: 416

View: 5519

Elementary yet rigorous, this concise treatment is directed toward students with a knowledge of advanced calculus, basic numerical analysis, and some background in ordinary differential equations and linear algebra. 1968 edition.
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An Introduction to Differential Equations and Their Applications

Author: Stanley J. Farlow

Publisher: Courier Corporation

ISBN: 0486135136

Category: Mathematics

Page: 640

View: 1220

This introductory text explores 1st- and 2nd-order differential equations, series solutions, the Laplace transform, difference equations, much more. Numerous figures, problems with solutions, notes. 1994 edition. Includes 268 figures and 23 tables.
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Space Mathematics

Math Problems Based on Space Science

Author: Bernice Kastner

Publisher: Courier Corporation

ISBN: 0486490335

Category: Science

Page: 192

View: 5919

Created by NASA, thiscollection of worked mathematicalproblems relatedto space science covers abroad range of subjects,including computation andmeasurement, algebra,geometry, probability and statistics, functions, trigonometry,conic sections, and calculus. Geared toward high school studentsand teachers, it also serves as a fine review for undergraduatescience and engineering majors.Reprint of the National Aeronautics and SpaceAdministration, Washington, DC, 1985 edition.
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The history of the calculus and its conceptual development

(The concepts of the calculus)

Author: Carl Benjamin Boyer

Publisher: Dover Publications

ISBN: N.A

Category: Mathematics

Page: 346

View: 1470

Fluent description of the development of both the integral and differential calculus -- its early beginnings in antiquity, Medieval contributions and a consideration of Newton and Leibniz.
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A Combinatorial Introduction to Topology

Author: Michael Henle

Publisher: Courier Corporation

ISBN: 9780486679662

Category: Mathematics

Page: 310

View: 8770

Excellent text covers vector fields, plane homology and the Jordan Curve Theorem, surfaces, homology of complexes, more. Problems and exercises. Some knowledge of differential equations and multivariate calculus required.Bibliography. 1979 edition.
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Physics of Fully Ionized Gases

Second Revised Edition

Author: Lyman Spitzer

Publisher: Courier Corporation

ISBN: 0486151581

Category: Science

Page: 192

View: 2249

An introductory course in theoretical physics is the sole prerequisite for this general but simple introduction to the fields of plasma and fusion research. 1962 edition.
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Numerical Methods for Scientists and Engineers

Author: Richard Hamming

Publisher: Courier Corporation

ISBN: 0486134822

Category: Mathematics

Page: 752

View: 2376

This inexpensive paperback edition of a groundbreaking text stresses frequency approach in coverage of algorithms, polynomial approximation, Fourier approximation, exponential approximation, and other topics. Revised and enlarged 2nd edition.
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