42,285 reputation
454122
bio website sites.google.com/site/…
location Fiji
age 37
visits member for 2 years, 7 months
seen 2 hours ago

I'm a lecturer of mathematics at the University of the South Pacific. My research interests are in algebraic topology and metric geometry.


Dec
4
answered Continuity is required for differentiability?
Dec
4
awarded  functions
Dec
4
answered If $f: A→B$ and $g: B→C$ are surjective, then $g\circ f$ is surjective.
Dec
3
comment $\frac{a_{n}}{1+a_{n}}\rightarrow0$ yields $a_{n}\rightarrow0$
What if $L=-1$?
Dec
1
answered Infinite samples from uncountable sample space
Dec
1
reviewed Close The existence of orthonormal basis in the dense subspace
Dec
1
reviewed Close How to calculate the sum of that probability distribution?
Dec
1
revised “Honest” introductory real analysis book
added 24 characters in body
Nov
30
comment “Honest” introductory real analysis book
@Dal thank you for the clarification. Please indicate to me if you think I should delete the answer.
Nov
30
revised “Honest” introductory real analysis book
added 89 characters in body
Nov
30
comment “Honest” introductory real analysis book
Sicne Rudin was mentioned I assumed OP is not looking for an introduction to elementary analysis of single valued real functions. I'm waiting for OP's clarification on this.
Nov
30
comment “Honest” introductory real analysis book
are you looking for an introduction to elementary real analysis (i.e., real valued functions of a single real variable) or an introduction to analysis a la Rudin, assuming the elementary things are known and aiming at topology, metric space theory etc.?
Nov
30
comment “Honest” introductory real analysis book
@Adhvaitha your negative comment appeared within a minute of the appearance of the answer, which means (as you obviously did not read the book) that you had time to just see the title. If you had looked at the TOC you would have seen that the first three chapters are, respectively, thorough introductions to linear spaces, topological spaces, and metric spaces. The style is very much what OP is looking for (i.e., very detailed proofs with little left for the reader). It covers completeness, topology, sequences, continuity. Rudin is given as benchmark.
Nov
30
comment “Honest” introductory real analysis book
can you please explain why you make that claim @Adhvaitha?
Nov
30
answered “Honest” introductory real analysis book
Nov
29
answered Prove that $\{1/n\}_n$ converges in the Sorgenfrey topology.
Nov
29
comment Show that $\lbrace 1-\frac{1}{n} \rbrace_n$ does not converge in the Sorgenfry topology.
that works fine. OP did not specify whether any of the elementary facts needed for this argument were known to him, so the conclusion could have been a leap of faith. Some explanation was required.
Nov
29
answered Show that $\lbrace 1-\frac{1}{n} \rbrace_n$ does not converge in the Sorgenfry topology.
Nov
28
comment Definition of angle between vectors in spaces with dimensions n
thanks @KarthikUpadhya , updated.
Nov
28
revised Definition of angle between vectors in spaces with dimensions n
edited body