Mathematical Economics Prelude to the Neoclassical Model

This textbook provides a one-semester introduction to mathematical economics for first year graduate and senior undergraduate students. Intended to fill the gap between typical liberal arts curriculum and the rigorous mathematical modeling of graduate stu

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Kam Yu

Mathematical Economics Prelude to the Neoclassical Model

Springer Texts in Business and Economics

More information about this series at http://www.springer.com/series/10099

Kam Yu

Mathematical Economics Prelude to the Neoclassical Model

Kam Yu Lakehead University Thunder Bay ON, Canada

ISSN 2192-4333 ISSN 2192-4341 (electronic) Springer Texts in Business and Economics ISBN 978-3-030-27288-3 ISBN 978-3-030-27289-0 (eBook) https://doi.org/10.1007/978-3-030-27289-0 © Springer Nature Switzerland AG 2019 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

Every year a first-year student, out of curiosity or because of some program requirements, takes principles of economics. She is surprised to learn that a subject in social science can be studied in such a logical and scientific manner. After getting a good grade, she decides to major in Economics. The advisor in the department told the student that quantitative analysis is very important in the study of Economics. A degree in Economics, however, is a liberal arts degree, which provides a wellrounded general education and a good preparation for professional schools. Many Economics majors, the advisor said, achieve high scores in LSAT, an entrance examination for the faculty of law. The student diligently selects courses in calculus, linear algebra, probability and statistics and econometrics and does well in those courses. After graduation, she decides to pursue graduate study in Economics. To the student’s surprise, the verbal and graphical analysis she was trained, in order to solve economic problems, somehow all but disappear. Instead, most of the graduate textbooks contain materials that more or less resemble applied