Maths for Social Sciences

This book is aimed at students in social sciences programs that include some course in quantitative methods. Stats for social sciences is frequently the subject of textbooks, while maths for social sciences is often neglected: monographs on specific theme

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Lorenzo Peccati · Mauro D’Amico Margherita Cigola

Maths for Social Sciences

UNITEXT - La Matematica per il 3+2 Volume 113

Editor-in-chief Alfio Quarteroni Series editors L. Ambrosio P. Biscari C. Ciliberto C. De Lellis M. Ledoux V. Panaretos W. J. Runggaldier

More information about this series at http://www.springer.com/series/5418

Lorenzo Peccati Mauro D’Amico Margherita Cigola •

Maths for Social Sciences

123

Lorenzo Peccati Department of Decision Sciences Bocconi University Milan, Italy

Margherita Cigola Department of Decision Sciences Bocconi University Milan, Italy

Mauro D’Amico Department of Decision Sciences Bocconi University Milan, Italy

Additional material to this book can be downloaded from http://extras.springer.com. ISSN 2038-5714 ISSN 2532-3318 (electronic) UNITEXT - La Matematica per il 3+2 ISSN 2038-5722 ISSN 2038-5757 (electronic) ISBN 978-3-030-02335-5 ISBN 978-3-030-02336-2 (eBook) https://doi.org/10.1007/978-3-030-02336-2 Library of Congress Control Number: 2018958490 © Springer Nature Switzerland AG 2018 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, 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. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This Springer imprint is published by the registered company Springer Nature Switzerland AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland

Preface

This textbook is the natural evolution of some teaching notes prepared for the course on “Quantitative Methods - Module 1, Mathematics” in the “Bachelor in International Government” program at Bocconi University. While many books are available on statistics for the social sciences, few try to cover mathematics for the social sciences. This textbook represents such an attempt, the aim being to present some mathematical tools of value in the social sciences through a number of examples. These mathematical tools are: • • • •

Linear algebra; Differential calculus; Integral calculus; Dynamic systems.

The style