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Undergraduate Texts in Mathematics

Mathematics of Finance

An Intuitive Introduction

Authors: Saari, Donald G.

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  • Promotes critical thinking skills to develop intuition about financial options
  • Highlights the mathematical concepts fundamental to finance by offering an intuitive approach
  • Offers instructors potentially new to the area a valuable resource for teaching a mathematical finance course
  • Simplifies complex mathematical concepts, such as the derivation of the Black–Scholes equation and its solutions, by emphasizing the concepts behind a formula
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書籍の購入

イーブック ¥3,705
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-3-030-25443-8
  • ウォーターマーク付、 DRMフリー
  • ファイル形式: EPUB, PDF
  • どの電子書籍リーダーからでもすぐにお読みいただけます。
  • ご購入後、すぐにダウンロードしていただけます。
ソフトカバー ¥4,632
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • 予定日: October 30, 2019
  • ISBN 978-3-030-25442-1
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
この教本について

This textbook invites the reader to develop a holistic grounding in mathematical finance, where concepts and intuition play as important a role as powerful mathematical tools. Financial interactions are characterized by a vast amount of data and uncertainty; navigating the inherent dangers and hidden opportunities requires a keen understanding of what techniques to apply and when. By exploring the conceptual foundations of options pricing, the author equips readers to choose their tools with a critical eye and adapt to emerging challenges.

Introducing the basics of gambles through realistic scenarios, the text goes on to build the core financial techniques of Puts, Calls, hedging, and arbitrage. Chapters on modeling and probability lead into the centerpiece: the Black–Scholes equation. Omitting the mechanics of solving Black–Scholes itself, the presentation instead focuses on an in-depth analysis of its derivation and solutions. Advanced topics that follow include the Greeks, American options, and embellishments. Throughout, the author presents topics in an engaging conversational style. “Intuition breaks” frequently prompt students to set aside mathematical details and think critically about the relevance of tools in context.

Mathematics of Finance is ideal for undergraduates from a variety of backgrounds, including mathematics, economics, statistics, data science, and computer science. Students should have experience with the standard calculus sequence, as well as a familiarity with differential equations and probability. No financial expertise is assumed of student or instructor; in fact, the text’s deep connection to mathematical ideas makes it suitable for a math capstone course. A complete set of the author’s lecture videos is available on YouTube, providing a comprehensive supplementary resource for a course or independent study.



著者について

Donald G. Saari is Emeritus Professor of Mathematics and Economics at the University of California, Irvine. His contributions to voting theory, economics, and celestial mechanics are widely celebrated, and his achievements include election to the U.S. National Academy of Sciences and the Chauvenet Prize for mathematical exposition. His books Geometry of Voting and Basic Geometry of Voting are celebrated for their seminal contributions to mathematical voting theory.

Table of contents (9 chapters)

Table of contents (9 chapters)

書籍の購入

イーブック ¥3,705
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-3-030-25443-8
  • ウォーターマーク付、 DRMフリー
  • ファイル形式: EPUB, PDF
  • どの電子書籍リーダーからでもすぐにお読みいただけます。
  • ご購入後、すぐにダウンロードしていただけます。
ソフトカバー ¥4,632
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • 予定日: October 30, 2019
  • ISBN 978-3-030-25442-1
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
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書誌情報

Bibliographic Information
Book Title
Mathematics of Finance
Book Subtitle
An Intuitive Introduction
Authors
Series Title
Undergraduate Texts in Mathematics
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
イーブック ISBN
978-3-030-25443-8
DOI
10.1007/978-3-030-25443-8
ソフトカバー ISBN
978-3-030-25442-1
Series ISSN
0172-6056
Edition Number
1
Number of Pages
XVII, 144
Number of Illustrations
16 b/w illustrations
Topics