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.
General
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