Laurent Series for 1/(e^z - 1) Source of the problem Basic Complex Analysis 3rd Edition by Jerrold E. Marsden and Michael J. Hoffman (1999). Exercise #11 on page 236. Solution To find the Laurent series expansion of \(\frac{1}{e^z 2024-04-29 Daily Logs > Math > Analysis > Complex Analysis #Math #Analysis #Complex Analysis #Laurent Series
resources for differential geometry Some resources for differential geometry 2024-04-21 Daily Logs > Resources Share #Math #differential geometry #Resource Share #Practice Problem #Vector Bundle #Notes #Public Courses
resources for automated therom proving Some resources for learning automated therom proving, logic, functional programming, coq, etc 2024-04-21 Daily Logs > Resources Share #Resource Share #Functional Programming #Coq #Automated Therom Proving
Introduction to Quotient Spaces in Topology This blog is part of a series designed to demystify various concepts within the realm of linear algebra and topology. Following our discussion on vectors, we will now turn our attention to quotient sp 2024-04-09 Daily Logs > Math > Topology #Math #Differential Geometry #Topology #Quotient Spaces
An Elementary Approach to Proving a Continuous Function with All Zero Fourier Coefficients is Identically Zero When delving into the fascinating world of Fourier series and their convergence properties for functions within the $ C^N $ space, we encounter a fundamental question: Can a continuous function, which 2024-03-02
Some Comparing lemmas in analysis (epsilon delta language) lemma of "less than" Content: \(x, y \in \Bbb{R}\), \(\forall \epsilon \gt 0\), \(x \lt y + \epsilon\), then \(x \leq y\) Proof lemma of "Equal" Content: \(x, y \in \Bbb{R}\), \(\forall \epsilon \gt 2023-12-18 Daily Logs > Math > Analysis #Math #Analysis #Real Analysis #Metric #Functional Space
A Fun Limit: relationship between (n!)^(1/n) and n Relationship between $(n!)^{\frac{1}{n}} and n$ 2023-12-18 Daily Logs > Math > Analysis #Math #Analysis #Real Analysis #Limit #Order of infinity
Relationship between Ratio and Root test Relationship between Ratio and Root test 2023-12-18 Daily Logs > Math > Analysis #Math #Analysis #Real Analysis #Limit #Order of infinity #Ratio Test #Root Test