Vector and Tensor Analysis with Applications
Courier Corporation, 1 janv. 1968 - 257 pages
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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VECTOR ALGEBRA Page
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Autres éditions - Tout afficher
according ANALYSIS angle applied arbitrary axes axis basis body bounded called closed components condition consider const constant continuous contour contravariant coordinate system corresponding covariant curl curve defined definition derivative determined differential direction element equals equation Example Exercise expression fact flow fluid flux follows force formulas function given grad hence Illustrating implies independent indices integral INTRODUCTION length mass mathematical mean moving normal Note numbers obtain operator origin orthogonal parallel particles perpendicular physical plane position potential principal Problem projection Prove quantity radius vector recall rectangular coordinates region relation Remark respect right-handed rotation scalar second-order tensor shown side Similarly Solution space stress Suppose surface tensor theorem theory trajectories transformation unique unit vanishes vector field velocity volume write