Part 1 book “Handbook of mathematics” has contents: Functions, arithmetic, functions, linear algebra, algebra and discrete mathematics, differentiation, infinite series, integral calculus, differential equations, linear integral equations, calculus of variations, functional analysis. | . Bronshtein · . Semendyayev · G. Musiol · H. Muehlig Handbook of Mathematics . Bronshtein · . Semendyayev · G. Musiol · H. Muehlig Handbook of Mathematics 5th Ed. With 745 Figures and 142 Tables 123 Ilja N. Bronshtein † Konstantin A. Semendyayev † Prof. Dr. Gerhard Musiol Prof. Dr. Heiner Muehlig Based on the 6th edition of Bronshtein/Semendyayev/Musiol/Muehlig “Taschenbuch der Mathematik”, 2005. Published by Wissenschaftlicher Verlag Harri Deutsch GmbH, Frankfurt am Main. Library of Congress Control Number: 2007930331 ISBN 978-3-540-72121-5 Springer Berlin Heidelberg New York This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable for prosecution under the German Copyright Law. Springer is a part of Springer Science+Business Media © Springer-Verlag Berlin Heidelberg 2007 The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Typesetting: Typesetting by the authors Production: LE-TEX Jelonek, Schmidt & Vöckler GbR, Leipzig Cover: WMXDesign GmbH, Heidelberg Translation: Gabriela Sz´ ep, Budapest Printed on acid-free paper 62/3180/YL - 5 4 3 2 1 0 Preface to the Fifth English Edition This fth edition is based on the fourth English edition (2003) and corresponds to the improved sixth German edition (2005). It contains all the chapters of the both .