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→Analytical skills
'''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.
* [[Real analysis]], the study of functions of real variables. Real analysis includes most of basic calculus.
* [[Real analysis]], the study of functions of real variables. Real analysis includes most of basic calculus.
* [[Complex analysis]], the study of functions of [[holomorphic]] functions of complex variables.
* [[Complex analysis]], the study of functions of holomorphic functions of complex variables.
* [[Functional analysis]], the study of spaces of functions, a critical ingredient much of physics.
* Functional analysis, the study of spaces of functions, a critical ingredient much of physics.
* [[Harmonic analysis]], dealing with Fourier series and their generalizations.
* [[Harmonic analysis]], dealing with Fourier series and their generalizations.
* [[Numerical analysis]], examining algorithms used for a variety of computations.
* Numerical analysis, examining algorithms used for a variety of computations.
In addition to these branches, there are other less familiar branches of analysis, including ''p-adic'' and ''non-standard'' analysis.
In addition to these branches, there are other less familiar branches of analysis, including ''p-adic'' and ''non-standard'' analysis.
== Analytical skills ==
See also: [[Analytical thinking]] and [[Analytical thinking]] and [[Problem solving]] and [[Decision making]] and [[Logical reasoning]] and [[Structural thinking]] and [[Systems thinking]] and [[Critical thinking]]
Analytical skills are the "abilities used to [[Understanding|understand]], evaluate, and interpret information to [[Problem solving|solve problems]], [[Decision making|make decisions]], and form conclusions. They involve breaking down complex information into smaller parts to identify patterns, relationships, and logical connections. These skills are crucial in various fields and can be applied to a wide range of situations, from everyday tasks to complex professional challenges."<ref>[https://www.google.com/search?q=analysis+skills&oq=analysis+skills&gs_lcrp=EgZjaHJvbWUyCQgAEEUYORiABDIHCAEQABiABDIHCAIQABiABDIHCAMQABiABDIHCAQQABiABDIHCAUQABiABDIHCAYQABiABDIHCAcQABiABDIHCAgQABiABDIGCAkQLhhA0gEINDg3NWowajGoAgCwAgA&sourceid=chrome&ie=UTF-8 Analytical skills]</ref>
Articles:
*[https://corporatefinanceinstitute.com/resources/management/analytical-skills/ Analytical Skills], Corporate Finance Institute
*[https://iconnect.isenberg.umass.edu/blog/2024/07/19/what-are-analytical-skills-definition-and-examples/#:~:text=Analytical%20skills%20are%20problem%2Dsolving,practices%20to%20identify%20a%20fix. What Are Analytical Skills? Definition and Examples], University of Massachusetts, Amherst
*[https://redstonesearch.com/10-ways-develop-analytical-skills/ 10 Ways To Develop Analytical Skills], Redstone Search
*[https://www.indeed.com/career-advice/resumes-cover-letters/analytical-skills What Are Analytical Skills? Definition, Examples and Tips], Indeed
Work oriented:
*[https://www.coursera.org/articles/analytical-skills Analytical Skills: What Are They and How Can They Help Me Get a Job?], Coursera
*[https://www.jobscan.co/blog/analytical-skills/ Analytical Skills To Include on Your Resume in 2024], Jobscan.co
*[https://cloudassess.com/blog/analytical-skills/#:~:text=What%20are%20Analytical%20Skills?,complex%20analytical%20ideas%20are%20crucial. Analytical Skills in the Workplace | Importance & Examples]
*[https://www.indeed.com/career-advice/career-development/analytical-skills-list 45 Examples of Analytical Skills in the Workplace], Indeed
*[https://managementconsulted.com/what-are-analytical-skills/ What Are Analytical Skills?], Management Consulted website
== See also ==
*[[Analytical thinking]]
== Sources ==
== Sources ==
The New American Desk Encyclopedia, Penguin Group, 1989
The New American Desk Encyclopedia, Penguin Group, 1989
[[Category: Mathematics]]
[[Category:Mathematics]]