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Schaum-Mathematical-Handbook-Formulas-Tables-3E(1)

Mathematical Handbook ofFormulas and TablesThird EditionMurray R. Spiegel, PhDFormer Professor and Chairman Mathematics Department Rensselaer Polytech

Schaum-Mathematical-Handbook-Formulas-Tables-3E(1) hnic Institute Hartford Graduate CenterSeymour Lipschutz, PhDMathematics Department Temple UniversityJohn Liu, PhDMathematics Department University of

MarylandSchaum’s Outline SeriesMe Graw HillNew York Chicago San Francisco Lisbon London Madrid Mexico City Milan New Delhi San Juan Seoul Singapore S Schaum-Mathematical-Handbook-Formulas-Tables-3E(1)

ydney TorontoThe McGraw Hill CompaniesCopyright © 2009.1999.196S by The McGraw-Hill Companies. Inc All lights reserved. Manufactured ill the United Sl

Schaum-Mathematical-Handbook-Formulas-Tables-3E(1)

ates of America. Except as permitted under the United States Copyright Act of 1976. no part of this publication may be reproduced or distributed in an

Mathematical Handbook ofFormulas and TablesThird EditionMurray R. Spiegel, PhDFormer Professor and Chairman Mathematics Department Rensselaer Polytech

Schaum-Mathematical-Handbook-Formulas-Tables-3E(1) n this eBook also appears in the print version of this title: 0-07-154855-6.All trademarks are trademarks of their respective owners. Rather than pul

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, Schaum-Mathematical-Handbook-Formulas-Tables-3E(1)

with no intention of infringement of the trademark. Where such designations appear in this book, they have been printed with initial caps.McGraw-Hill

Schaum-Mathematical-Handbook-Formulas-Tables-3E(1)

eBooks are available al special quantity discounts to use as premiums and sales promotions, or for use in corporate training programs. 1 or more info

Mathematical Handbook ofFormulas and TablesThird EditionMurray R. Spiegel, PhDFormer Professor and Chairman Mathematics Department Rensselaer Polytech

Schaum-Mathematical-Handbook-Formulas-Tables-3E(1) lhe McGraw -Hill Companies. Inc. ("McGraw-Hill") and its licensors reserve all rights in and to the work. Use of this work is subjec t to these terms

. Except as permitted under the Copyright Ad of 1976 and the right to store and retrieve one copy of the work you may not decompile, disassemble, reve Schaum-Mathematical-Handbook-Formulas-Tables-3E(1)

rse engineer, reproduce, modify, create derivative works based upon, transmit, distribute, disseminate, sell, publish or subliccnsc the work or any pa

Schaum-Mathematical-Handbook-Formulas-Tables-3E(1)

rt of it without McGraw-Hill's prior consent. You may use the work for your own noncommercial and personal use: any other use of the work is -Strictly

Mathematical Handbook ofFormulas and TablesThird EditionMurray R. Spiegel, PhDFormer Professor and Chairman Mathematics Department Rensselaer Polytech

Schaum-Mathematical-Handbook-Formulas-Tables-3E(1) ICENSORS MAKF NO GUARANTEES OR WARRANTIES AS TO THE ACCURACY. ADEQUACY OR COMPT F.TENFSS OF OR RESULTS TO BF OBTAINED FROM USING THE WORK. INCT IT). I

NG ANY INFORMATION THAT C AN BF ACCESSED THROUGH THE WORK VIA HYPERLINK OR OTHERWISE. AND EXPRESSLY DISCLAIM ANY WARRANTY. EXPRESS OR IMPLIED. INCLUDI Schaum-Mathematical-Handbook-Formulas-Tables-3E(1)

NG BUI NOI LLM11LD TO IMPLIED WAR-RAN11LS OI MLRCHAN1AB1LH Y OR 1UNLSS1OR APAR11CULAR PURPOSE. McGravv-lliU and its licensors do not warrant or guaran

Schaum-Mathematical-Handbook-Formulas-Tables-3E(1)

tee that the functions contained in the work will meet your requirements or that its operation will be uninterrupted or error free. Neither McGraw-Hil

Mathematical Handbook ofFormulas and TablesThird EditionMurray R. Spiegel, PhDFormer Professor and Chairman Mathematics Department Rensselaer Polytech

Schaum-Mathematical-Handbook-Formulas-Tables-3E(1) esulting therefrom. McGraw-Hill has no responsibility for The content of any information accessed through the work. Under no circumstances shall McGra

w-Hill and or its licensors be liable for any indirect, incidental, special, punitive, consequential or similar damages that result ứom the use of or Schaum-Mathematical-Handbook-Formulas-Tables-3E(1)

inability to use the work, even if any of them has been advised of the possibility of such damages. This limitation of liability shall apply' to any c

Schaum-Mathematical-Handbook-Formulas-Tables-3E(1)

laim or cause whatsoever whether such claim or cause arises in contract, tort or otherwise.DOI: 10.1036 0071548556PrefaceThis handbook supplies a coll

Mathematical Handbook ofFormulas and TablesThird EditionMurray R. Spiegel, PhDFormer Professor and Chairman Mathematics Department Rensselaer Polytech

Schaum-Mathematical-Handbook-Formulas-Tables-3E(1) and other sciences. Care has been taken Io 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 cours Schaum-Mathematical-Handbook-Formulas-Tables-3E(1)

es. 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

Schaum-Mathematical-Handbook-Formulas-Tables-3E(1)

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 m

Mathematical Handbook ofFormulas and TablesThird EditionMurray R. Spiegel, PhDFormer Professor and Chairman Mathematics Department Rensselaer Polytech

Schaum-Mathematical-Handbook-Formulas-Tables-3E(1) ily obtained from a simple calculator, and we have deleted some rarely used formulas. The main change is that sections on Probability and Random Varia

bles have been expanded with new material. These sections appear in both the physical and social sciences, including education.Topics covered range fr Schaum-Mathematical-Handbook-Formulas-Tables-3E(1)

om elementary to advanced. Elementary topics include those from algebra, geometry, trigonometry, analytic geometry, probability and statistics, and ca

Schaum-Mathematical-Handbook-Formulas-Tables-3E(1)

lculus. Advanced topics include those from differential equations, numerical analysis, and vector analysis, such as Fourier series, gamma and beta fun

Mathematical Handbook ofFormulas and TablesThird EditionMurray R. Spiegel, PhDFormer Professor and Chairman Mathematics Department Rensselaer Polytech

Schaum-Mathematical-Handbook-Formulas-Tables-3E(1) opics has been adopted to provide, within a single volume. most of the important mathematical results needed by student and research workers, regardle

ss of their particular field of interest or level of attainment.The book is divided into two main parts. Part A presents mathematical formulas togethe Schaum-Mathematical-Handbook-Formulas-Tables-3E(1)

r with other material. such as definitions, theorems, graphs, diagrams, etc., essential for proper understanding and application of the formulas. Part

Schaum-Mathematical-Handbook-Formulas-Tables-3E(1)

B presents the numerical tables. These tables include basic statistical distributions (normal. Student's /. chi-square, etc.), advanced functions (Be

Mathematical Handbook ofFormulas and TablesThird EditionMurray R. Spiegel, PhDFormer Professor and Chairman Mathematics Department Rensselaer Polytech

Schaum-Mathematical-Handbook-Formulas-Tables-3E(1) s authors and publishers for 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 111 of their book Statistical Tables for Biological, Agricultural and Medical Research—who gave their permission to adapt data Schaum-Mathematical-Handbook-Formulas-Tables-3E(1)

from their books for use in several tables in this handbook. Appropriate references to such sources are given below the corresponding tables.Finally.

Schaum-Mathematical-Handbook-Formulas-Tables-3E(1)

I wish to thank the staff of the McGraw-Hill Schaum’s Outline Series, especially Charles Wall, for their unfailing cooperation.Seymour LipschitzTempl

Mathematical Handbook ofFormulas and TablesThird EditionMurray R. Spiegel, PhDFormer Professor and Chairman Mathematics Department Rensselaer Polytech

Mathematical Handbook ofFormulas and TablesThird EditionMurray R. Spiegel, PhDFormer Professor and Chairman Mathematics Department Rensselaer Polytech

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