向量微积分参考书目 Vector Calculus, Michael Corral

Vector Calculus
Michael Corral
Schoolcraft College

http://mecmath.net/ is the homepage for the free book Vector Calculus, by Michael Corral (Schoolcraft College).

You can download the latest version (2013-05-21) of Vector Calculus here: calc3book.pdf
http://mecmath.net/calc3book.pdf

Bibliography
参考书目

Abbott, E.A., Flatland, 7th edition. New York: Dover Publications, Inc., 1952
    Classic tale about a creature living in a 2-dimensional world who encounters a higherdimensional creature, with lots of humor thrown in.
    一个经典的故事关于生活在2维世界的生物遭遇了高维世界的生物，有许多诙谐的语句。

Anton, H. and C. Rorres, Elementary Linear Algebra: Applications Version, 8th edition. New York: John Wiley & Sons, 2000
    Standard treatment of elementary linear algebra.
    标准的分析关于初等线性代数

Bazaraa, M.S., H.D. Sherali and C.M. Shetty, Nonlinear Programming: Theory and Algorithms, 2nd edition. New York: John Wiley & Sons, 1993
    Thorough treatment of nonlinear optimization.
    透彻分析了非线性最优化

Farin, G., Curves and Surfaces for Computer Aided Geometric Design: A Practical Guide, 2nd edition. San Diego, CA: Academic Press, 1990
    An intermediate-level book on curve and surface design.
    一本中等水平关于曲线和曲面设计的书

Hecht, E., Optics, 2nd edition. Reading, MA: Addison-Wesley Publishing Co., 1987
    An intermediate-level book on optics, covering a wide range of topics.
    一本中等水平关于光学的书，涵盖了广泛主题
Hoel, P.G., S.C. Port and C.J. Stone, Introduction to Probability Theory, Boston, MA: Houghton Mifflin Co., 1971
    An excellent introduction to elementary, calculus-based probability theory. Lots of good exercises.
    一本很棒的关于基于微积分的概率率初步理论的书，有大量好的练习

Jackson, J.D., Classical Electrodynamics, 2nd edition. New York: John Wiley & Sons, 1975
    An advanced book on electromagnetism, famous for being intimidating. Most of the mathematics will be understandable after reading the present book.
    一本关于电磁学的高级教材，以难懂闻名。在阅读本书后可能理解其中大多数数学内容
Marion, J.B., Classical Dynamics of Particles and Systems, 2nd edition. New York: Academic Press, 1970
    Standard intermediate-level treatment of classical mechanics. Very thorough.
    中等水平的关于经典力学的分析，十分透彻

O’Neill, B., Elementary Differential Geometry, New York: Academic Press, 1966
    Intermediate-level book on differential geometry, with a modern approach based on differential forms.
    中等水平的关于微分几何的书，用了基于微分形式的现代方法

Pogorelov, A.V., Analytical Geometry, Moscow: Mir Publishers, 1980
    An intermediate/advanced book on analytic geometry.
    一本中高等水平关于解析几何的书

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 numericalmethods for solving a wide variety of problems. Though all the examples are in the FORTRAN programming language, the code is clear enough to implement in the language of your choice.
    很棒的信息来源关于求解前多种问题的数值方法。虽然所有示例是按FORTRAN语言编写的，但代码足够清晰，足以用你选择的其它语言来实现。

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.
    透彻的分析了初等解析几何，比最近的大多数书要严格

Ralston, A. and P. Rabinowitz, A First Course in Numerical Analysis, 2nd edition. New York: McGraw-Hill, 1978
    Standard treatment of elementary numerical analysis.
    标准分析了初等数值分析

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.
    中等水平的关于电磁学的教材

Schey, H.M., Div, Grad, Curl, and All That: An Informal Text on Vector Calculus, New York: W.W. Norton & Co., 1973
    Very intuitive approach to the subject, from a physicist’s viewpoint. Highly recommended.
    非常直观的方法关于这些主题，来自一个物理学家的视角，高度推荐。

Taylor, A.E. and W.R. Mann, Advanced Calculus, 2nd edition. New York: JohnWiley & Sons, 1972
    Excellent treatment of n-dimensional calculus. A good book to study after the present book. Many intriguing exercises.
    很棒的分析了N维微积分，学完本书后可以继续学习的书，有许多有趣的练习

Uspensky, J.V., Theory of Equations, New York: McGraw-Hill, 1948
    A classic on the subject, discussing many interesting topics.
    关于方程式的杰作，讨论了许多有趣的主题

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.
    一部很好地介绍了偏微分方程广泛主题的书

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.
    一本从初等视角非常透彻分析了3维几何的书，包含了许多当前不再讲授的主题（悲痛）。