Titlebook: Essential Real Analysis; Michael Field Textbook 2017 Springer International Publishing AG 2017 use of euler maclaurin formula.Euler-Maclau

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書目名稱Essential Real Analysis讀者反饋學(xué)科排名

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字形刻痕

Functions,at occurs when convergence of the Fourier series is not uniform (piecewise smooth functions with jumps). The chapter concludes with a second proof of the infinite product formula for .?., this time using methods based on Fourier series.

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歌曲

1615-2085 differential equations.Includes a full treatment of the inv.This book provides a rigorous introduction to the techniques and results of real analysis, metric spaces and multivariate differentiation, suitable for undergraduate courses..Starting from the very foundations of analysis, it offers a comp

修飾語

Jianquan Lu,Jun Shen,Jinde Cao,Jürgen Kurthsonvexity. After defining Bernoulli numbers and polynomials and computing their Fourier series, a proof is given of the Euler–Maclaurin formula and a number of applications are given including Stirling’s formula, estimates of Euler’s constant and the sums of infinite series (such as the infinite sum of ..).

修飾語

,Topics from Classical Analysis: The Gamma-Function and the Euler–Maclaurin Formula,onvexity. After defining Bernoulli numbers and polynomials and computing their Fourier series, a proof is given of the Euler–Maclaurin formula and a number of applications are given including Stirling’s formula, estimates of Euler’s constant and the sums of infinite series (such as the infinite sum of ..).

乳白光

On Habit: Peirce’s Story and Historyroofs are given of both the Leibniz rule and Faá di Bruno’s formula for the derivatives of products and composites of maps. In an appendix, there is a proof of the theorem of Frigyes Riesz on the equivalence of norms on a finite dimensional vector space.

FACET

Textbook 2017or undergraduate courses..Starting from the very foundations of analysis, it offers a complete first course in real analysis, including topics rarely found in such detail in an undergraduate textbook such as the construction of non-analytic smooth functions, applications of the Euler-Maclaurin formu

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