VECTOR CALCULUS AND TENSORS
Gradient, divergence, and curl. Curves in 3D. Multiple integrals. Surface integrals. The integral theorems. Curvilinear coordinates. Vector calculus equations. Tensors.
Vector Calculus, by D. Tong, 2021, University of Cambridge.
Vector Calculus, by S. J. Cowley, 2000, University of Cambridge.
Vector Calculus, by M. Dörrzapf, 2006, University of Cambridge.
Vector Calculus, by B. C. Allanach, J. M. Evans, 2016, University of Cambridge.
Vector Calculus, written by D. Chua, based on lectures by B. C. Allanach, 2015, University of Cambridge.
Vector Calculus, written by S. Wilshaw, based on lectures by A. Ashton, 2022, University of Cambridge.
Multivariable Calculus, by R. Earl, 2020, University of Oxford.
Vectors, Tensors and Fields, by J. Peacock, 2010, University of Edinburgh.
- With Solutions
Vectors, Tensors and Fields, by J. Peacock, 2010, University of Edinburgh.
18.022 Calculus of Several Variables, by J. McKernan, 2010, Massachusetts Institute of Technology.
18.024 Multivariable Calculus, by C. Breiner, 2011, Massachusetts Institute of Technology. - Without Solutions
Vector Calculus, by D. Tong, 2021, University of Cambridge.
Vector Calculus, by M. Dörrzapf, 2006, University of Cambridge.
Vector Calculus, written by D. Chua, based on lectures by B. C. Allanach, 2015, University of Cambridge.
Multivariable Calculus, by R. Earl, 2020, University of Oxford.
Calculus III and Calculus IV, by T. Bazett, 2020, University of Victoria.
Calculus 3, by B. Leonard, 2016, Merced College.
Tensors for Beginners, by ‘EigenChris’, 2017.
Calculus 3 Ch 10 Tensors, by M. van Biezen, Loyola Marymount University.
New To Tensors? Start Here, by A. Dotson, 2018, New Mexico State University.
Tensors (Multi-linear Algebra), by R. Whybrow, 2019, University of Nottingham.
A Course Of Higher Mathematics Vol 2 Advanced Calculus, by V. I. Smirnov, 1964, Pergamon.
Calculus, Vol. 2, by T. Apostol, 2nd ed., 1991, Wiley.
Vector Calculus, by J. Marsden and A. Tromba, 6th ed., 2012, Macmillan Learning.
A Student’s Guide to Vectors and Tensors, by D. A. Fleisch, 1st ed., 2011, Cambridge University Press.
Vector and Tensor Analysis with Applications, by A. I. Borisenko, I. E. Tarapov, R. A. Silverman, New edition, 1979, Dover Publications.
Introduction to Vector and Tensor Analysis, by R. C. Wrede, 1st, 1972, Dover Publications.
Vector and Tensor Analysis, by G. E. Hay, 1st ed., 2012, Dover Publications.
Vector Analysis, by M. Spiegel, S. Lipschutz, D. Spellman, 2nd ed., 2009, McGraw-Hill Education.
Schaum’s Outline of Advanced Calculus, by R. Wrede and M. Spiegel, 3rd ed., 2010, McGraw Hill.
Vector Analysis, by M.L. Krasnov, A.I. Kiselev, G.I. Makarenko, 1983, MIR Publishers, Moscow.