Which book is best for vector culculas, for beginer ?

Hello Thor.,

Some of the good books are,

1)Vector Analysis by Murray Spiegel 2nd Ed.

2) Marsden (CalTech)

3)A. Tromba (UCSC)

4)Vectors, Tensors and the Basic Equations of Fluid Mechanics (Dover Books on Mathematics) by Rutherford Aris

5)Calculus of Variations (Dover Books on Mathematics) by Isarel M Gelfand and S V Fomin

6)The Variational Principles of Mechanics (Dover Books on Physics) by Cornelius Lanczos

Hope this helps
All the Best