Field Farm


Re-counting Numbers - Part IV-B - Reals

Topic of interest: $liminf$ and $limsup$.



Re-counting Numbers - Part IV-A - Reals

Topic of interest: Rational to Real transition and Cauchy sequences.



Re-counting Numbers - Part III - Rationals

Topic of interest: Pairs of integers, denseness and a linear order on $\mathbb{Q}$.



What and Why of the Field Farm

Field Farm: A lifelong companion or a human touch to the depths of mathematics and physics. A companion which recalls and reconnects intuition across the topics in mathematics and physics. Simply put, it tells the story of what’s happening – talks through the theory :). Mostly a personal effort to consolidate things. The emphasis is again on the story, not proofs of all the facts! Every communicator has their own voice - in aspects of rigor, human touch, art, creativity and what not. Through this I am finding (farming) mine :).



Re-counting Numbers - Part II - Integers

Topic of interest: Pairs of Naturals modulo …



Re-counting Numbers - Part I - Naturals

Topic of interest: Peano Axioms.



On $\epsilon$-adherence of sequences to their limit points...

Terence Tao defines limit points the following way –



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