Paul Loya

Amazing and Aesthetic Aspects of Analysis (eBook, PDF)

• Format: PDF

Produktbeschreibung

¿¿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

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Produktdetails

• Verlag: Springer US
• Seitenzahl: 722
• Erscheinungstermin: 11. Mai 2018
• Englisch
• ISBN-13: 9781493967957
• Artikelnr.: 54259335

Autorenporträt

Paul Loya is a professor of mathematics at Binghamton University.

Inhaltsangabe

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 .