An Introduction to the Mathematics of Money
28%
off

An Introduction to the Mathematics of Money : Saving and Investing

3.5 (4 ratings by Goodreads)
By (author)  , By (author)  , By (author) 

Free delivery worldwide

Available. Dispatched from the UK in 2 business days
When will my order arrive?

Description

This is an undergraduate textbook on the basic aspects of personal savings and investing with a balanced mix of mathematical rigor and economic intuition. It uses routine financial calculations as the motivation and basis for tools of elementary real analysis rather than taking the latter as given. Proofs using induction, recurrence relations and proofs by contradiction are covered. Inequalities such as the Arithmetic-Geometric Mean Inequality and the Cauchy-Schwarz Inequality are used. Basic topics in probability and statistics are presented. The student is introduced to elements of saving and investing that are of life-long practical use. These include savings and checking accounts, certificates of deposit, student loans, credit cards, mortgages, buying and selling bonds, and buying and selling stocks.

The book is self contained and accessible. The authors follow a systematic pattern for each chapter including a variety of examples and exercises ensuring that the student deals with realities, rather than theoretical idealizations. It is suitable for courses in mathematics, investing, banking, financial engineering, and related topics.
show more

Product details

  • Hardback | 300 pages
  • 155 x 235 x 18.54mm | 1,340g
  • New York, NY, United States
  • English
  • 2007 ed.
  • 67 Illustrations, black and white; XII, 300 p. 67 illus.
  • 0387344322
  • 9780387344324
  • 723,909

Back cover copy

This is an undergraduate textbook on the basic aspects of personal savings and investing with a balanced mix of mathematical rigor and economic intuition. It uses routine financial calculations as the motivation and basis for tools of elementary real analysis rather than taking the latter as given. Proofs using induction, recurrence relations and proofs by contradiction are covered. Inequalities such as the Arithmetic-Geometric Mean Inequality and the Cauchy-Schwarz Inequality are used. Basic topics in probability and statistics are presented. The student is introduced to elements of saving and investing that are of life-long practical use. These include savings and checking accounts, certificates of deposit, student loans, credit cards, mortgages, buying and selling bonds, and buying and selling stocks. The book is self contained and accessible. The authors follow a systematic pattern for each chapter including a variety of examples and exercises ensuring that the student deals with realities, rather than theoretical idealizations. It is suitable for courses in mathematics, investing, banking, financial engineering, and related topics.
show more

Table of contents

Simple Interest.- Compound Interest.- Infiation and Taxes.- Annuities.- Loans and Risks.- Amortization.- Credit Cards.- Bonds.- Stocks and Stock Markets.- Stock Market Indexes, Pricing, and Risk.- Options.
show more

Review Text

From the reviews:

"This book is written for students without assuming a background or any experience in investing. A basic knowledge in real analysis is necessary. The student is introduced to elements of saving and investing that are of lifelong practical use. These includes saving, checking accounts, certificates of deposit, student loan, credit cards, mortgages, buying and selling bonds of stocks. The authors follow a systematic pattern with a variety of examples and exercises. ... suitable for fundamental courses in mathematics, investing, banking, financial engineering, and related topics." (Klaus Ehemann, Zentralblatt MATH, Vol. 1114 (16), 2007)

"This book is designed to serve as an undergraduate text on the fundamentals of personal savings and investing. ... The book includes an appendix that covers basic concepts and techniques in probability and mathematical statistics. ... follows a different philosophy; it allows the results and examples to speak for themselves. ... it serves as a valuable resource for attaining savings, investment, and retirement goals." (Joseph Cavanaugh, The American Statistician, Vol. 62 (2), May, 2008)
show more

Review quote

From the reviews:





"This book is written for students without assuming a background or any experience in investing. A basic knowledge in real analysis is necessary. The student is introduced to elements of saving and investing that are of lifelong practical use. These includes saving, checking accounts, certificates of deposit, student loan, credit cards, mortgages, buying and selling bonds of stocks. The authors follow a systematic pattern with a variety of examples and exercises. ... suitable for fundamental courses in mathematics, investing, banking, financial engineering, and related topics." (Klaus Ehemann, Zentralblatt MATH, Vol. 1114 (16), 2007)


"This book is designed to serve as an undergraduate text on the fundamentals of personal savings and investing. ... The book includes an appendix that covers basic concepts and techniques in probability and mathematical statistics. ... follows a different philosophy; it allows the results and examples to speak for themselves. ... it serves as a valuable resource for attaining savings, investment, and retirement goals." (Joseph Cavanaugh, The American Statistician, Vol. 62 (2), May, 2008)
show more

Rating details

4 ratings
3.5 out of 5 stars
5 0% (0)
4 50% (2)
3 50% (2)
2 0% (0)
1 0% (0)
Book ratings by Goodreads
Goodreads is the world's largest site for readers with over 50 million reviews. We're featuring millions of their reader ratings on our book pages to help you find your new favourite book. Close X