Lipschutz Seymour - Schaums Outline of Mathematical Handbook of Formulas and Tables

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Rather than put a trademark symbol after every occurrence of a trademarked name, we use names in an editorial fashion only, and to the benefit of the trademark owner, with no intention of infringement of the trademark. Where such designations appear in this book, they have been printed with initial caps. McGraw-Hill Education eBooks are available at special quantity discounts to use as premiums and sales promotions or for use in corporate training programs. To contact a representative, please visit the Contact Us page at www.mhprofessional.com. SEYMOUR LIPSCHUTZ is on the faculty of Temple University and formally taught at the Polytechnic Institute of Brooklyn. He received his PhD in 1960 at Courant Institute of Mathematical Sciences of New York University.

He is one of Schaums most prolific authors. In particular, he has written, among others, Linear Algebra, Probability, Discrete Mathematics, Set Theory, Finite Mathematics, and General Topology. JOHN LIU is presently a professor of mathematics at University of Maryland, and he formerly taught at Temple University. He received his PhD from the University of California, and he has held visiting positions at New York University, Princeton University, and Berkeley. He has published many papers in applied mathematics, including the areas of partial differential equations and numerical analysis. The late MURRAY R.

SPIEGEL received the MS degree in physics and the PhD degree in mathematics from Cornell University. He had positions at Harvard University, Columbia University, Oak Ridge, and Rensselaer Polytechnic Institute, 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, especially those that involve applications to physics and engineering problems. He was the author of numerous journal articles and 14 books on various topics in mathematics. TERMS OF USE This is a copyrighted work and McGraw-Hill Education and its licensors reserve all rights in and to the work.

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This handbook supplies a collection of mathematical formulas and tables which will be valuable to students and research workers in the fields of mathematics, physics, engineering, and other sciences.

Care has been taken to include only those formulas and tables which are most likely to be needed in practice, rather than highly specialized results which are rarely used. It is a user-friendly handbook with material mostly rooted in university mathematics and scientific courses. In fact, the first edition can already be found in many libraries and offices, and it most likely has moved with the owners from office to office since their college times. Thus, this handbook has survived the test of time (while most other college texts have been thrown away). This new edition maintains the same spirit as previous editions, with the following changes. First of all, we have deleted some out-of-date tables which can now be easily obtained from a simple calculator, and we have deleted some rarely used formulas.

The main change is that sections on Probability and Random Variables have been expanded with new material. These sections appear in both the physical and social sciences, including education. There are also two new sections: on Mathematical Finance. Topics covered range from elementary to advanced. Elementary topics include those from algebra, geometry, trigonometry, analytic geometry, probability and statistics, and calculus. Advanced topics include those from differential equations, numerical analysis, and vector analysis, such as Fourier series, gamma and beta functions, Bessel and Legendre functions, Fourier and Laplace transforms, and elliptic and other special functions of importance.

This wide coverage of topics has been adopted to provide, within a single volume, most of the important mathematical results needed by student and research workers, regardless of their particular field of interest or level of attainment. The book is divided into two main parts. presents the numerical tables. These tables include basic statistical distributions (normal, Students t, chi-square, etc.), advanced functions (Bessel, Legendre, elliptic, etc.), and financial functions (compound and present value of an amount, and annuity). McGraw-Hill Education wishes to thank the various authors and publishersfor example, the Literary Executor of the late Sir Ronald A. Fisher, F.R.S., Dr.

Frank Yates, F.R.S., and Oliver and Boyd Ltd., Edinburgh, for Table III of their book Statistical Tables for Biological, Agricultural and Medical Researchwho gave their permission to adapt data from their books for use in several tables in this handbook. Appropriate references to such sources are given below the corresponding tables. Finally, I wish to thank the staff of McGraw-Hill Education Schaums Outline Series, especially Diane Grayson, for their unfailing cooperation. SEYMOUR LIPSCHUTZ Temple University