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Auteur : A. I. Borisenko,I. E. Tarapov,Richard A. Silverman
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" … the exposition is clear and the choice of topics is excellent …" Prof. R. E. Williamson, Univ. of Sussex, Brighton, EnglandThis concise introduction to a basic branch of applied mathematics is indispensable to mathematicians, physicists and engineers. Eminently readable, it covers the elements of vector and tensor analysis, with applications of the theory to specific physics and engineering problems. It lays particular stress on the applications of the theory to fluid dynamics.The authors begin with a definition of vectors and a discussion of algebraic operations on vectors. The vector concept is then generalized in a natural way, leading to the concept of a tensor. Chapter Three considers algebraic operations on tensors. Next, the authors turn to a systematic study of the differential and integral calculus of vector and tensor functions of space and time. Finally, vector and tensor analysis is considered from both a rudimentary standpoint, and in its fuller ramifications, concluding the volume.The strength of the book lies in the completely worked out problems and solutions at the end of each chapter. In addition, each chapter incorporates abundant exercise material. Intended primarily for advanced undergraduates and graduate students of math, physics and engineering, the work is self-contained and accessible to any student with a good background in calculus.Vector and Tensor Analysis With Applications is one of a series of SELECTED RUSSIAN PUBLICATIONS IN THE MATHEMATICAL SCIENCES, several of which have already been published by Dover. The authors are distinguished Russian mathematicians and specialists in gas dynamics and numerical analysis. Richard A. Silverman, editor of the series as well as editor and translator of this volume, has revised and improved the original edition and added a bibliography." … a concise, clear and comprehensive treatment … " Prof. Henry G. Booker, University of California, San Diego
Télécharger Vector and Tensor Analysis with Applications (Dover Books on Mathematics) (English Edition) de A. I. Borisenko,I. E. Tarapov,Richard A. Silverman En Ligne
Tensor and Vector Analysis: With Applications to - Dover ~ Assuming only a knowledge of basic calculus, this text presents an elementary and gradual development of tensor theory. From this treatment, the traditional material of courses on vector analysis is deduced as a particular case. In addition, the book forms an introduction to metric differential geometry. 1962 edition.
Vector and Tensor Analysis with Applications - Dover Books ~ Vector and Tensor Analysis With Applications is one of a series of SELECTED RUSSIAN PUBLICATIONS IN THE MATHEMATICAL SCIENCES, several of which have already been published by Dover. The authors are distinguished Russian mathematicians and specialists in gas dynamics and numerical analysis. Richard A. Silverman, editor of the series as well as editor and translator of this volume, has revised .
Vector and Tensor Analysis with Applications - Google Books ~ Concise and readable, this text ranges from definition of vectors and discussion of algebraic operations on vectors to the concept of tensor and algebraic operations on tensors. It also includes a systematic study of the differential and integral calculus of vector and tensor functions of space and time. Worked-out problems and solutions. 1968 edition.
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Tensor and Vector Analysis: With Applications to ~ Tensor and Vector Analysis: With Applications to Differential Geometry (Dover Books on Mathematics) Paperback – Illustrated, November 21, 2012 by C. E. Springer (Author)
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Vector and tensor analysis with applications (eBook, 1979 ~ Get this from a library! Vector and tensor analysis with applications. [A I Borisenko; Ivan Evgenʹevich Tarapov] -- Concise and readable, this text ranges from definition of vectors and discussion of algebraic operations on vectors to the concept of tensor and algebraic operations on tensors. It also includes a .
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Vector and Tensor Analysis with Applications (Dover Books ~ Vector and Tensor Analysis With Applications is one of a series of SELECTED RUSSIAN PUBLICATIONS IN THE MATHEMATICAL SCIENCES, several of which have already been published by Dover. The authors are distinguished Russian mathematicians and specialists in gas dynamics and numerical analysis. Richard A. Silverman, editor of the series as well as editor and translator of this volume, has revised .
Vector and Tensor Analysis with Applications (Dover Books ~ Amazon.co.jp: Vector and Tensor Analysis with Applications (Dover Books on Mathematics) (English Edition) 電子書籍: Borisenko, A. I., Tarapov, I. E., Silverman .
Tensor and Vector Analysis: With Applications to ~ Tensor and Vector Analysis: With Applications to Differential Geometry (Dover Books on Mathematics) (English Edition), 版本: Illustrated, Dover Publications, Tensor and Vector Analysis: With Applications to Differential Geometry (Dover Books on Mathematics) (English Edition)
Vector and Tensor Analysis with Applications Dover Books ~ Vector and Tensor Analysis With Applications is one of a series of SELECTED RUSSIAN PUBLICATIONS IN THE MATHEMATICAL SCIENCES, several of which have already been published by Dover. The authors are distinguished Russian mathematicians and specialists in gas dynamics and numerical analysis. Richard A. Silverman, editor of the series as well as editor and translator of this volume, has revised .
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9780486601090: Vector and Tensor Analysis (Dover Books on ~ Book Description Dover Publications Inc., United States, 2012. Paperback. Condition: New. Language: English. Brand new Book. Remarkably comprehensive. - Industrial Laboratories. Here is a clear introduction to classic vector and tensor analysis for students of engineering and mathematical physics.
Introduction to vector and tensor analysis ~ 3 The projection of a vector a on b is equal to a eb, where eb = b=jbj is the unit vector in direction of b. (2.4) 2.2.2 Cross product The cross product, a b between two vectors a and b is a vector de ned by a b= absin( )u; 0 ˇ; (2.5) where is the angle between a and b and u is a unit vector in the direction
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INTRODUCTION TO VECTORS AND TENSORS - pub.ro ~ principal mathematical entity considered in this volume is a field, . volume is suitable for a one-semester course on vector and tensor analysis. On occasions when we have taught a one –semester course, we covered material from Chapters 9, 10, and 11 of this volume. This course also covered the material in Chapters 0,3,4,5, and 8 from Volume 1. We wish to thank the U.S. National Science .
Buy Vector Analysis (Dover Books on Mathematics) Book ~ L. Brand's Vector Analysis is a special book. Especially for physics students used to learning the subject from physics textbooks. There is a chapter for each of Newtonian mechanics, fluid mechanics, and electrodynamics. The postulates for each theory are clearly and explicitly stated (e.g. Maxwell's equations for electrodynamics). However those are merely applications of the mathematical .
A Gentle Introduction to Tensors ~ this chapter that provides the foundations for tensor applications in physics. The third chapter extends tensor theory to spaces other than vector spaces, namely manifolds. This chapter is more advanced than the first two, but all necessary mathematics is included and no additional formal mathematical background is required beyond what is required for the second chapter .
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