Michael Corral: Vector Calculus

188 Bibliography
Pogorelov, A.V., Analytical Geometry, Moscow: Mir Publishers, 1980
An intermediate/advanced book on analytic geometry.
Press, W.H., S.A. Teukolsky, W.T. Vetterling and B.P. Flannery, Numerical Recipes
in FORTRAN: The Art of Scientific Computing, 2nd edition. Cambridge, UK:
Cambridge University Press, 1992
An excellent source of information on numerical methods for solving a wide variety of
problems.ThoughalltheexamplesareintheFORTRANprogramminglanguage,thecode
is clear enough to implement in the language of your choice.
Protter, M.H. and C.B. Morrey, Analytic Geometry, 2nd edition. Reading, MA:
Addison-Wesley Publishing Co., 1975
Thorough treatment of elementary analytic geometry, with a rigor not found in most
recent books.
Ralston, A. and P. Rabinowitz, A First Course in Numerical Analysis, 2nd edition.
New York: McGraw-Hill, 1978
Standard treatment of elementary numerical analysis.
Reitz, J.R., F.J. Milford and R.W. Christy, Foundations of Electromagnetic Theory,
3rd edition. Reading, MA: Addison-Wesley Publishing Co., 1979
Intermediate text on electromagnetism.
Schey, H.M., Div, Grad, Curl, andAllThat: AnInformalTextonVectorCalculus,New
York: W.W. Norton & Co., 1973
Very intuitive approach to the subject, from a physicist’s viewpoint. Highly recommended.
Taylor, A.E. and W.R. Mann, Advanced Calculus, 2nd edition. New York: John Wiley
& Sons, 1972
Excellent treatment of n-dimensional calculus. A good book to study after the present
book. Many intriguing exercises.
Uspensky, J.V., Theory of Equations, New York: McGraw-Hill, 1948
A classic on the subject, discussing many interesting topics.
Weinberger, H.F., A First Course in Partial Differential Equations, New York: John
Wiley & Sons, 1965
A good introduction to the vast subject of partial differential equations.
Welchons, A.M. and W.R. Krickenberger, Solid Geometry, Boston, MA: Ginn & Co.,
1936
A very thorough treatment of 3-dimensional geometry from an elementary perspective,
includes many topics which (sadly) do not seem to be taught anymore.