Mathematics for Finance - An Introduction to Financial Engineering.pdf

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Mathematics for Finance:
An Introduction to
Financial Engineering
Marek Capinski
Tomasz Zastawniak
Springer
Springer Undergraduate Mathematics Series
Springer
London
Berlin
Heidelberg
New York
Hong Kong
Milan
Paris
Tokyo
Advisory Board
P.J. Cameron
Queen Mary and Westfield College
M.A.J. Chaplain
University of Dundee
K. Erdmann
Oxford University
L.C.G. Rogers
University of Cambridge
E. Süli
Oxford University
J.F. Toland
University of Bath
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Marek Capi´ ski and Tomasz Zastawniak
n
Mathematics for
Finance
An Introduction to Financial Engineering
With 75 Figures
1
Springer
Marek Capi´ ski
n
Nowy Sacz School of Business–National Louis University, 33-300 Nowy Sacz,
ul. Zielona 27, Poland
Tomasz Zastawniak
Department of Mathematics, University of Hull, Cottingham Road,
Kingston upon Hull, HU6 7RX, UK
Cover illustration elements reproduced by kind permission of:
Aptech Systems, Inc., Publishers of the GAUSS Mathematical and Statistical System, 23804 S.E. Kent-Kangley Road, Maple Valley, WA 98038,
USA. Tel: (206) 432 - 7855 Fax (206) 432 - 7832 email: info@aptech.com URL: www.aptech.com.
American Statistical Association: Chance Vol 8 No 1, 1995 article by KS and KW Heiner ‘Tree Rings of the Northern Shawangunks’ page 32
fig 2.
Springer-Verlag: Mathematica in Education and Research Vol 4 Issue 3 1995 article by Roman E Maeder, Beatrice Amrhein and Oliver Gloor
‘Illustrated Mathematics: Visualization of Mathematical Objects’ page 9 fig 11, originally published as a CD ROM ‘Illustrated Mathematics’
by TELOS: ISBN 0-387-14222-3, German edition by Birkhauser: ISBN 3-7643-5100-4.
Mathematica in Education and Research Vol 4 Issue 3 1995 article by Richard J Gaylord and Kazume Nishidate ‘Traffic Engineering with
Cellular Automata’ page 35 fig 2. Mathematica in Education and Research Vol 5 Issue 2 1996 article by Michael Trott ‘The Implicitization
of a Trefoil Knot’ page 14.
Mathematica in Education and Research Vol 5 Issue 2 1996 article by Lee de Cola ‘Coins, Trees, Bars and Bells: Simulation of the Binomial
Process’ page 19 fig 3. Mathematica in Education and Research Vol 5 Issue 2 1996 article by Richard Gaylord and Kazume Nishidate
‘Contagious Spreading’ page 33 fig 1. Mathematica in Education and Research Vol 5 Issue 2 1996 article by Joe Buhler and Stan Wagon
‘Secrets of theMadelung Constant’ page 50 fig 1.
British Library Cataloguing in Publication Data
Capi´ ski, Marek, 1951-
n
Mathematics for finance : an introduction to financial
engineering. - (Springer undergraduate mathematics series)
1. Business mathematics 2. Finance – Mathematical models
I. Title II. Zastawniak, Tomasz, 1959-
332’.0151
ISBN 1852333308
Library of Congress Cataloging-in-Publication Data
Capi´ ski, Marek, 1951-
n
n
Mathematics for finance : an introduction to financial engineering /
Marek
Capi´ ski
and
Tomasz Zastawniak.
p. cm. — (Springer undergraduate mathematics series)
Includes bibliographical references and index.
ISBN 1-85233-330-8 (alk. paper)
1. Finance – Mathematical models. 2. Investments – Mathematics. 3. Business
mathematics. I. Zastawniak, Tomasz, 1959- II. Title. III. Series.
HG106.C36 2003
332.6’01’51—dc21
2003045431
Apart from any fair dealing for the purposes of research or private study, or criticism or review, as permitted
under the Copyright, Designs and Patents Act 1988, this publication may only be reproduced, stored or transmitted,
in any form or by any means, with the prior permission in writing of the publishers, or in the case of reprographic
reproduction in accordance with the terms of licences issued by the Copyright Licensing Agency. Enquiries
concerning reproduction outside those terms should be sent to the publishers.
Springer Undergraduate Mathematics Series ISSN 1615-2085
ISBN 1-85233-330-8 Springer-Verlag London Berlin Heidelberg
a member of BertelsmannSpringer Science+Business Media GmbH
http://www.springer.co.uk
© Springer-Verlag London Limited 2003
Printed in the United States of America
The use of 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 laws and regulations and therefore free for general use.
The publisher makes no representation, express or implied, with regard to the accuracy of the information
contained in this book and cannot accept any legal responsibility or liability for any errors or omissions that
may be made.
Typesetting: Camera ready by the authors
12/3830-543210 Printed on acid-free paper SPIN 10769004

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