Changes

'''Analysis''' is the branch of [[mathematics]] concerned particularly with the concepts of function and limit.  The subject has its origins in the quest to put [[calculus]] on a rigorous footing, and it is to this end that concepts like [[continuous]] and [[limit]] were first defined rigorously by [[Karl Weierstrass]] and [[Augustin-Louis Cauchy]].  Weierstrass gave the now-familiar "epsilon-delta" definition of a limit and worked to elaborate its basic properties.  He demonstrated, for example, that there exist functions which are continuous functions which are not differentiable at any point.  The possibility of such pathological functions could not have been imagined by [[Isaac Newton]] and others who had worked on calculus with less formal underpinnings.

'''Analysis''' is the branch of [[mathematics]] concerned particularly with the concepts of function and limit.  The subject has its origins in the quest to put [[calculus]] on a rigorous footing, and it is to this end that concepts like [[continuous]] and [[limit]] were first defined rigorously by [[Karl Weierstrass]] and [[Augustin-Louis Cauchy]].  Weierstrass gave the now-familiar "epsilon-delta" definition of a limit and worked to elaborate its basic properties.  He demonstrated, for example, that there exist functions which are continuous functions which are not differentiable at any point.  The possibility of such pathological functions could not have been imagined by [[Isaac Newton]] and others who had worked on calculus with less formal underpinnings.

The New American Desk Encyclopedia, Penguin Group, 1989

The New American Desk Encyclopedia, Penguin Group, 1989

[[Category: Mathematics]]

[[Category:Mathematics]]