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The Late MURRAY R. SPIEGEl received the M.S degree in Physics and the Ph.D. in Mathematics from Cornell University. He had positions at Harvard University, Columbia University, Oak Ridge and Rensselaer Polytechnic Insitute, and served as a mathematical consultant at several large Companies. His last Position was professor and Chairman of mathematics at the Rensselaer Polytechnic Institute Hartford Graduate Center. He was interested in most branches of mathematics at the Rensselaer polytechnic Institute, Hartford Graduate Center. He was interested in most branches of mathematics, especially those which involve applications to physics and engineering problems. He was the author of numerous journal articles and 14 books on various topics in mathematics.

Numbers.Functions.Limits and Continuity.Sequences.Derivatives.Integrals.Partial Derivatives.Vectors.Applications of Partial Derivatives.Multiple Integrals.Line Integrals, Surface Integrals and Integral Theorems.Infinite Series.Improper Integrals.Gamma and Beta Functions.Fourier Series.Fourier Integrals.Elliptic Integrals.Functions of a Complex Variable.