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Title: fussy, verbose, unclear.
Review: This book tries hard to be clear, exact, neat, unfortunately it fails badly.Tensors are ill-defined, theorems are ill-stated and their proofs are long, boring and tedious, if not simply wrong. For vector analysis one should stick to "Vector Calculus"(J. Marsden and A. Tromba); for tensor analysis, let's read "Tensor Analysis on Manifolds"(Bishop and Goldberg) or Spivak's "A Comprehensive Introduction to Differential Geometry", first volume.
