Mathematics of Finance: An Intuitive Introduction (Undergraduate Texts in Mathematics)

Saari, Donald G.

ISBN 10: 3030254429 / ISBN 13: 9783030254421

Edité par Springer (edition 1st ed. 2019), 2019

It's a well-cared-for item that has seen limited use. The item may show minor signs of wear. All the text is legible, with all pages included. It may have slight markings and/or highlighting. N° de réf. du vendeur 3030254429-10-1-NAU

Synopsis :

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. Instructors who adopt the textbook for their course,  please visit http://www.sn.pub/lecturer-material​ to obtain the PDF of a complete solutions manual.

 

 

 

À propos de l?auteur:

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.

Détails bibliographiques

Titre : Mathematics of Finance: An Intuitive ...
Éditeur : Springer (edition 1st ed. 2019)
Date d'édition : 2019
Reliure : Paperback
Etat : Very Good
Edition : 1st ed. 2019.