Amazing and Aesthetic Aspects of Analysis

Contains enthusiastic prose and exciting and imaginative exercises that will motivate the reader
Covers the fundamental ideas, axioms, definitions, and theorems upon which real analysis is built and flourishes
Motivates the material with historical remarks and well-chosen quotes

Contains enthusiastic prose and exciting and imaginative exercises that will motivate the reader Covers the fundamental ideas, axioms, definitions, and theorems upon which real analysis is built and flourishes Motivates the material with historical remarks and well-chosen quotes

Autorentext
Paul Loya is a professor of mathematics at Binghamton University.

Inhalt
Preface.- Some of the most beautiful formulæ in the world.- Part 1. Some standard curriculum.- 1. Very naive set theory, functions, and proofs.- 2. Numbers, numbers, and more numbers.- 3. Infinite sequences of real and complex numbers.- 4. Limits, continuity, and elementary functions.- 5. Some of the most beautiful formulæ in the world I-III.- Part 2. Extracurricular activities.- 6. Advanced theory of infinite series.- 7. More on the infinite: Products and partial fractions.- 8. Infinite continued fractions.- Bibliography.- Index.