Excursions in classical analysis pathways to advanced problem solving and undergraduate research /
Chen, Hongwei.
Excursions in classical analysis pathways to advanced problem solving and undergraduate research / [electronic resource] : Hongwei Chen. - Washington, D.C. : Mathematical Association of America, c2010. - xiii, 301 p. : ill. - Classroom resource materials . - Classroom resource materials (Unnumbered) .
Includes bibliographical references and index.
Two classical inequalities -- A new approach for proving inequalities -- Means generated by an integral -- The L'Hopital monotone rule -- Trigonometric identities via complex numbers -- Special numbers -- On a sum of cosecants -- The gamma products in simple closed forms -- On the telescoping sums -- Summation of subseries in closed form -- Generating functions for powers of Fibonacci numbers -- Identities for the Fibonacci powers -- Bernoulli numbers via determinants -- On some finite trigonometric power sums -- Power series of (arcsin x)p2(B -- Six ways to sum [zeta] 2 -- Evaluations of some variant Euler sums -- Interesting series involving binomial coefficients -- Parametric differentiation and integration -- Four ways to evaluate the Poisson integral -- Some irresistible integrals.
Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries.
9780883859353 (electronic bk.)
Mathematical analysis--Problems, exercises, etc.
Electronic books.
QA301 / .C436 2010
Excursions in classical analysis pathways to advanced problem solving and undergraduate research / [electronic resource] : Hongwei Chen. - Washington, D.C. : Mathematical Association of America, c2010. - xiii, 301 p. : ill. - Classroom resource materials . - Classroom resource materials (Unnumbered) .
Includes bibliographical references and index.
Two classical inequalities -- A new approach for proving inequalities -- Means generated by an integral -- The L'Hopital monotone rule -- Trigonometric identities via complex numbers -- Special numbers -- On a sum of cosecants -- The gamma products in simple closed forms -- On the telescoping sums -- Summation of subseries in closed form -- Generating functions for powers of Fibonacci numbers -- Identities for the Fibonacci powers -- Bernoulli numbers via determinants -- On some finite trigonometric power sums -- Power series of (arcsin x)p2(B -- Six ways to sum [zeta] 2 -- Evaluations of some variant Euler sums -- Interesting series involving binomial coefficients -- Parametric differentiation and integration -- Four ways to evaluate the Poisson integral -- Some irresistible integrals.
Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries.
9780883859353 (electronic bk.)
Mathematical analysis--Problems, exercises, etc.
Electronic books.
QA301 / .C436 2010