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An Introduction to the Mathematics of Money

Saving and Investing

  • David Lovelock
  • Marilou Mendel
  • A. Larry Wright

Table of contents

  1. Front Matter
    Pages i-xi
  2. Pages 1-11
  3. Pages 13-43
  4. Pages 45-53
  5. Pages 55-73
  6. Pages 75-81
  7. Pages 83-100
  8. Pages 101-112
  9. Pages 113-147
  10. Pages 149-163
  11. Pages 191-244
  12. Back Matter
    Pages 245-294

About this book

Introduction

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.

Keywords

Arithmetic Calculation banking economics finance inflation mathematics pricing proof statistics stock market

Editors and affiliations

  • David Lovelock
    • 1
  • Marilou Mendel
    • 1
  • A. Larry Wright
    • 1
  1. 1.Department of MathematicsUniversity of ArizonaTucsonUSA

Bibliographic information