E-Book Overview
Containing a careful selection of standard and timely topics, this edition presents many numerical and statistical tables, scores of worked examples, and the most useful mathematical formulas for engineering and scientific applications. This fifth edition of a bestseller provides even more comprehensive coverage with the inclusion of several additional topics, all while maintaining its accessible, clear style and handy size.
E-Book Content
Advances in Applied Mathematics
A CHAPMAN & HALL BOOK
Pocket Book of
Integrals and Mathematical Formulas 5th Edition
Advances in Applied Mathematics Series Editor: Daniel Zwillinger Published Titles Stochastic Partial Differential Equations, Second Edition Pao-Liu Chow Markov Processes James R. Kirkwood Green’s Functions with Applications, Second Edition Dean G. Duffy Pocket Book of Integrals and Mathematical Formulas, 5th Edition Ronald J. Tallarida
Advances in Applied Mathematics
Pocket Book of
Integrals and Mathematical Formulas 5th Edition Ronald J. Tallarida Temple University Philadelphia, Pennsylvania, USA
CRC Press Taylor & Francis Group 6000 Broken Sound Parkway NW, Suite 300 Boca Raton, FL 33487-2742 © 2015 by Taylor & Francis Group, LLC CRC Press is an imprint of Taylor & Francis Group, an Informa business No claim to original U.S. Government works Version Date: 20141212 International Standard Book Number-13: 978-1-4987-0476-2 (eBook - PDF) This book contains information obtained from authentic and highly regarded sources. Reasonable efforts have been made to publish reliable data and information, but the author and publisher cannot assume responsibility for the validity of all materials or the consequences of their use. The authors and publishers have attempted to trace the copyright holders of all material reproduced in this publication and apologize to copyright holders if permission to publish in this form has not been obtained. If any copyright material has not been acknowledged please write and let us know so we may rectify in any future reprint. Except as permitted under U.S. Copyright Law, no part of this book may be reprinted, reproduced, transmitted, or utilized in any form by any electronic, mechanical, or other means, now known or hereafter invented, including photocopying, microfilming, and recording, or in any information storage or retrieval system, without written permission from the publishers. For permission to photocopy or use material electronically from this work, please access www.copyright.com (http://www.copyright.com/) or contact the Copyright Clearance Center, Inc. (CCC), 222 Rosewood Drive, Danvers, MA 01923, 978-750-8400. CCC is a not-for-profit organization that provides licenses and registration for a variety of users. For organizations that have been granted a photocopy license by the CCC, a separate system of payment has been arranged. Trademark Notice: Product or corporate names may be trademarks or registered trademarks, and are used only for identification and explanation without intent to infringe. Visit the Taylor & Francis Web site at http://www.taylorandfrancis.com and the CRC Press Web site at http://www.crcpress.com
Contents Preface to the Fifth Edition................................. xiii Preface to the Fourth Edition...............................xv Preface to the Third Edition.............................. xvii Preface to the Second Edition............................. xix Preface to the First Edition.................................. xxi Author.................................................................. xxiii Greek Letters....................................................... xxv 1. Elementary Algebra and Geometry............. 1 1.1 Fundamental Properties (Real Numbers)....................................... 1 1.2 Exponents........................