vector analysis dover books on mathematics

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Vector Analysis

Author : Louis Brand
ISBN : 9780486154848
Genre : Mathematics
File Size : 50. 5 MB
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This text was designed as a short introductory course to give students the tools of vector algebra and calculus, as well as a brief glimpse into the subjects' manifold applications. 1957 edition. 86 figures.

Vector Calculus

Author : P. R. Baxandall
ISBN : 0486466205
Genre : Mathematics
File Size : 22. 9 MB
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This introductory text offers a rigorous, comprehensive treatment. Classical theorems of vector calculus are amply illustrated with figures, worked examples, physical applications, and exercises with hints and answers. 1986 edition.

A History Of Vector Analysis

Author : Michael J. Crowe
ISBN : 9780486679105
Genre : Mathematics
File Size : 46. 52 MB
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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.

Vector And Tensor Analysis With Applications

Author : A. I. Borisenko
ISBN : 9780486131900
Genre : Mathematics
File Size : 83. 7 MB
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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.

Concise Vector Analysis

Author : C. J. Eliezer
ISBN : 9780486809236
Genre : Mathematics
File Size : 62. 73 MB
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This concise introduction to the methods and techniques of vector analysis is suitable for college undergraduates in mathematics as well as students of physics and engineering. Rich in exercises and examples, the straightforward presentation focuses on physical ideas rather than mathematical rigor. The treatment begins with a chapter on vectors and vector addition, followed by a chapter on products of vector. Two succeeding chapters on vector calculus cover a variety of topics, including functions of a vector; line, surface, and volume integrals; the Laplacian operator, and more. The text concludes with a survey of standard applications, including Poinsot's central axis, Gauss's theorem, gravitational potential, Green's theorems, and other subjects.

Vector Analysis

Author : Homer E. Newell
ISBN : 9780486154909
Genre : Mathematics
File Size : 67. 5 MB
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This text combines the logical approach of a mathematical subject with the intuitive approach of engineering and physical topics. Applications include kinematics, mechanics, and electromagnetic theory. Includes exercises and answers. 1955 edition.

Tensor And Vector Analysis

Author : C. E. Springer
ISBN : 9780486320915
Genre : Mathematics
File Size : 26. 66 MB
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Assuming only a knowledge of basic calculus, this text's elementary development of tensor theory focuses on concepts related to vector analysis. The book also forms an introduction to metric differential geometry. 1962 edition.

Introduction To Vector And Tensor Analysis

Author : Robert C. Wrede
ISBN : 9780486137117
Genre : Mathematics
File Size : 25. 38 MB
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Examines general Cartesian coordinates, the cross product, Einstein's special theory of relativity, bases in general coordinate systems, maxima and minima of functions of two variables, line integrals, integral theorems, and more. 1963 edition.

Problems And Worked Solutions In Vector Analysis

Author : L.R. Shorter
ISBN : 9780486795485
Genre : Mathematics
File Size : 27. 95 MB
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Devoted to fully worked out examples, this unique text constitutes a self-contained introductory course in vector analysis. Topics include vector addition, subtraction, multiplication, and applications. "Very comprehensive." — The Mathematical Gazette. 1931 edition.

Vector Analysis Versus Vector Calculus

Author : Antonio Galbis
ISBN : 9781461422006
Genre : Mathematics
File Size : 39. 70 MB
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The aim of this book is to facilitate the use of Stokes' Theorem in applications. The text takes a differential geometric point of view and provides for the student a bridge between pure and applied mathematics by carefully building a formal rigorous development of the topic and following this through to concrete applications in two and three variables. Key topics include vectors and vector fields, line integrals, regular k-surfaces, flux of a vector field, orientation of a surface, differential forms, Stokes' theorem, and divergence theorem. This book is intended for upper undergraduate students who have completed a standard introduction to differential and integral calculus for functions of several variables. The book can also be useful to engineering and physics students who know how to handle the theorems of Green, Stokes and Gauss, but would like to explore the topic further.

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