ERIC Number: EJ875494
Record Type: Journal
Publication Date: 2006
Abstractor: As Provided
The Harmonic Series Diverges Again and Again
Kifowit, Steven J.; Stamps, Terra A.
AMATYC Review, v27 n2 p31-43 Spr 2006
The harmonic series is one of the most celebrated infinite series of mathematics. A quick glance at a variety of modern calculus textbooks reveals that there are two very popular proofs of the divergence of the harmonic series. In this article, the authors survey these popular proofs along with many other proofs that are equally simple and insightful. A common thread connecting the proofs is their accessibility to first-year calculus students.
Descriptors: Textbooks, Calculus, Mathematics Instruction, Validity, Mathematical Logic, College Mathematics, Community Colleges
American Mathematical Association of Two-Year Colleges. 5983 Macon Cove, Memphis, TN 38134. Tel: 901-333-4643; Fax: 901-333-4651; e-mail: email@example.com; Web site: http://www.amatyc.org
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Postsecondary Education; Two Year Colleges
Authoring Institution: N/A