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Springer Undergraduate Texts in Mathematics and Technology

An Introduction to Mathematical Finance with Applications

Understanding and Building Financial Intuition

Authors: Petters, Arlie O., Dong, Xiaoying

  • Provides a good balance between mathematical derivation and accessibility to the reader and instructor
  • Self-contained with respect to required finance background, providing financial minutia along the way as needed 
  • Useful for students preparing for high level study in mathematical finance or a career in actuarial science
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Buy this book

eBook 55,92 €
price for Spain (gross)
  • ISBN 978-1-4939-3783-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 69,67 €
price for Spain (gross)
  • ISBN 978-1-4939-3781-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

This textbook aims to fill the gap between those that offer a theoretical treatment without many applications and those that present and apply formulas without appropriately deriving them. The balance achieved will give readers a fundamental understanding of key financial ideas and tools that form the basis for building realistic models, including those that may become proprietary. Numerous carefully chosen examples and exercises reinforce the student’s conceptual understanding and facility with applications.  The exercises are divided into conceptual, application-based, and theoretical problems, which probe the material deeper.

The book is aimed toward advanced undergraduates and first-year graduate students who are new to finance or want a more rigorous treatment of the mathematical models used within. While no background in finance is assumed, prerequisite math courses include multivariable calculus, probability, and linear algebra. The authors introduce additional mathematical tools as needed. The entire textbook is appropriate for a single year-long course on introductory mathematical finance. The self-contained design of the text allows for instructor flexibility in topics courses and those focusing on financial derivatives. Moreover, the text is useful for mathematicians, physicists, and engineers who want to learn finance via an approach that builds their financial intuition and is explicit about model building, as well as business school students who want a treatment of finance that is deeper but not overly theoretical.

About the authors

Arlie Oswald Petters is a Professor of Mathematics, Physics, and Business Administration at Duke University. Petters is also co-author of Birkhauser's Singularity Theory and Gravitational Lensing
Xiaoying Dong is an Adjunct Assistant Professor of Mathematics at Duke University and has been a professional trader for over 20 years.

Reviews

“The book is thick with rich with applications and solid justifications of all concepts. … If you are a financial mathematics instructor, this book is for you. It progresses through easier topics to more advanced topics very well and is practical, meaningful, and more importantly, relevant to the 21st century financial student. … can be used as the one standard book for your class but can also be a springboard to research projects with your more advanced and curious students.” (Peter T. Olszewski, MAA Reviews, August, 2017)

“The book is an undergraduate textbook in mathematical finance with applications. … The textbook is aimed at advanced undergraduates, and also at master's degree students who want a more rigorous treatment of the mathematical models in finance. This text will be a very good textbook for a year-long course on introductory mathematical finance.” (Anatoliy Swishchuk, zbMATH 1348.91002, 2016)


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Table of contents (8 chapters)

  • Preliminaries on Financial Markets

    Petters, Arlie O. (et al.)

    Pages 1-12

    Preview Buy Chapter 30,19 €
  • The Time Value of Money

    Petters, Arlie O. (et al.)

    Pages 13-82

    Preview Buy Chapter 30,19 €
  • Markowitz Portfolio Theory

    Petters, Arlie O. (et al.)

    Pages 83-150

    Preview Buy Chapter 30,19 €
  • Capital Market Theory and Portfolio Risk Measures

    Petters, Arlie O. (et al.)

    Pages 151-208

    Preview Buy Chapter 30,19 €
  • Binomial Trees and Security Pricing Modeling

    Petters, Arlie O. (et al.)

    Pages 209-252

    Preview Buy Chapter 30,19 €

Buy this book

eBook 55,92 €
price for Spain (gross)
  • ISBN 978-1-4939-3783-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 69,67 €
price for Spain (gross)
  • ISBN 978-1-4939-3781-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
An Introduction to Mathematical Finance with Applications
Book Subtitle
Understanding and Building Financial Intuition
Authors
Series Title
Springer Undergraduate Texts in Mathematics and Technology
Copyright
2016
Publisher
Springer-Verlag New York
Copyright Holder
Arlie O. Petters and Xiaoying Dong
eBook ISBN
978-1-4939-3783-7
DOI
10.1007/978-1-4939-3783-7
Hardcover ISBN
978-1-4939-3781-3
Series ISSN
1867-5506
Edition Number
1
Number of Pages
XVII, 483
Number of Illustrations and Tables
40 b/w illustrations, 12 illustrations in colour
Topics