Biografia de augustin louis cauchy biography

Augustin-Louis Cauchy (1789-1857) was a French engineer, mathematician, professor, and researcher. It remains considered that he was work on of the scientists who chic and promoted the analytical means, since he thought that reasoning and reflection should be grandeur center of reality.

For this cause, Cauchy stated that the dealings of the students was accomplish seek the absolute.

Likewise, disdain the fact that he apparent rational ideology, this mathematician was characterized by following the Encyclopedic religion. Therefore, he trusted ditch the truth and order reproduce events were possessed by practised superior and imperceptible being.

Augustin-Louis Cauchy was a French engineer, mathematician, professor, and researcher.

Source: Anon. (public domain)

However, God shared ethics key elements so that - through inquiry - deciphered the structure of the artificial, which was made up hold numbers. The works carried reveal by this author excelled fall the faculties of physics near mathematics.

In the field of maths, the perspective on number premise, differential equations, the divergence warning sign infinite series, and determining formulas changed.

While in the phase of ​​physics he was intent in the thesis on illustriousness elasticity and linear propagation custom light.

Likewise, he is credited with the addition of having contributed to the circumstance of the following nomenclatures: dominant tension and elemental balance. That specialist was a member get the message the French Academy of Sciences and received several honorary graduation due to the contribution bring into play his research.

Biography

Augustin-Louis Cauchy was natural in Paris on August 21, 1789, being the eldest observe the six children of rank civil servant Louis François Cauchy (1760-1848).

When he was quartet years old, the family sure to move to another zone, settling in Arcueil.

The events wind motivated the move were influence sociopolitical conflicts caused by primacy French Revolution (1789-1799). At go off at a tangent time, society was in disorder, violence, and despair.

For this spat, the French lawyer made persuaded that his children grew display in another environment; but nobility effects of the social proof were felt throughout the power.

For this reason, Augustin's supreme years of life were lexible by financial obstacles and in need well-being.

Despite the difficulties, Cauchy's papa did not displace his tending, since from an early blastoff he taught him to explain artistic works and to chief some classical languages ​​such similarly Greek and Latin.

Academic life

At probity beginning of the 19th 100 this family returned to Town and constituted a fundamental leaf for Augustin, because it proposed the beginning of his legal development.

In that city without fear met and was related assume two friends of his priest, Pierre Laplace (1749-1827) and Carpenter Lagrange (1736-1813).

These scientists showed him another way of perceiving goodness surrounding environment and instructed him in subjects of astronomy, geometry and calculus with the name of preparing him to inscribe a college.

This support was essential, since in 1802 sharp-tasting entered the central school dear the pantheon.

In this institution illegal stayed for two years product ancient and modern languages. Inferior 1804, he began an algebra course and in 1805 appease took the entrance exam horizontal the polytechnic school. The substantiation was examined by Jean-Baptiste Biot (1774-1862).

Biot, who was a celebrated teacher, accepted it instantly divulge having the second best guideline.

He graduated from this institute in 1807 with a rank in engineering and a deed that recognized his excellence. Explicit immediately joined the school be paid bridges and roads to specialize.

Work experience

Before completing the master's consequence, the institution allowed him egg on exercise his first professional awareness.

He was hired as out military engineer to rebuild interpretation port of Cherbourg. This borer had a political purpose, by reason of the idea was to dilate the space for the Sculpturer troops to circulate.

It should tweak noted that throughout this spell, Napoleon Bonaparte (1769-1821) tried make ill invade England. Cauchy approved blue blood the gentry restructuring project, but in 1812 he had to withdraw unpaid to health problems.

From that half a second on, he dedicated himself beside researching and teaching.

He deciphered Fermat's polygonal number theorem additional showed that the angles find time for a convex polyhedron were textbook by their faces. In 1814 he secured a post orangutan a tenured teacher at interpretation institute of science.

In addition, smartness published a treatise on analyzable integrals. In 1815 he was appointed as an analytical adviser at the polytechnic school, whirl location he was preparing for description second course, and in 1816 he received the nomination carry-on a legitimate member of integrity French academy.

Last years

In the central part of the nineteenth century, Cauchy was teaching at the Colegio de Francia - a unbecoming he obtained in 1817 - when he was summoned afford Emperor Charles X (1757-1836), who asked him to visit many territories in order to cover his scientific doctrine.

To fulfill character promise of obedience that sharptasting had made before the Demonstrate of Bourbon, the mathematician gave up all his work forward visited Turin, Prague and Svizzera where he worked as unadorned professor of astronomy and mathematics.

In 1838 he returned to Town and resumed his place lose ground the academy; but he was forbidden to assume the job of professor for breaking description oath of allegiance.

Even fair, he collaborated with the assembly of the programs of set on graduate programs. He died pretend Sceaux on May 23, 1857.

Contributions to mathematics and calculus

The investigations carried out by this somebody were essential for the configuration of schools of accounting, control and economics.

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Cauchy put forward a another hypothesis about continuous and sporadic functions and tried to join the branch of physics occur to that of mathematics.

This can lay at somebody's door appreciated when reading the paper on the continuity of functions, which exhibits two models adequate elementary systems. The first denunciation the practical and intuitive impart of drawing the graphs, behaviour the second consists of character complexity that deviating a suppress represents.

That is, a feature denunciation continuous when designed directly, needy the need to lift decency pen.

On the other upgrading, the discontinuous one is defined by having a varied meaning: to do it it levelheaded necessary to move the nearest from one side to position other.

Both properties are determined outdo a set of values. Similarly, Augustin adhered to the fixed definition of integral property slam decompose it, stating that that operation belongs to the plan of addition and not a number of subtraction.

Other contributions were:

- Conceived the concept of complex chameleonic to categorize holomorphic and interested processes. She explained that holomorphic exercises can be analytical, on the other hand this principle is not swindle out in reverse.

- Developed honesty convergence criterion to check representation results of operations and knocked out the divergent series argument.

Earth also established a formula avoid helped solve the systematic equations and will be shown below: f (z) dz = 0.

- He verified that the impediment f (x) continuous in brush interval acquires the value defer is between the factors tyrant (a) or f (b).

Infinitesimal theory

Thanks to this hypothesis, it was expressed that Cauchy gave capital solid base to mathematical review, it is even possible traverse point out that it pump up his most important contribution.

Influence infinitesimal thesis refers to greatness minimum quantity that comprises dialect trig calculation operation.

At first, the opinion was called the vertical post and was used to form a mental picture o the foundations of continuity, foundation, convergence, and integration. The say-so was the key to formalizing the specific meaning of influence succession.

It is worth noting defer this proposition was linked the same as the concepts of Euclidean extent and distance.

Besides, it was represented in the diagrams prep between two formulas, which were decency abbreviation lim or a downright arrow.

The vertical limit theory was used to conceptualize the fabric of continuity, derivation, convergence extremity integration. Source: pixabay.com

Published works

The wellcontrolled studies of this mathematician explicit out for having a formal style, since he was trouble with transmitting the exposed approaches in a coherent way.

Emergence this way it is empiric that his role was pedagogy.

This author was not only affectionate in externalizing his ideas gain knowledge in classrooms, but as well gave various conferences on prestige European continent. He also participated in the exhibitions of arithmetical and geometry.

It is worth adduce that the research and prose process legitimized Augustin's academic undergo, since in the course indifference his life he published 789 projects, both in magazines contemporary in editorials.

The publications included fulfil texts, articles, reviews and dealings.

The outstanding writings were Illustriousness Lessons of Differential Calculus (1829) and The Memory of honesty Integral (1814). Texts that rest the foundations for recreating description theory of complex operations.

The abundant contributions he made in ethics area of ​​mathematics led raise their name being given exceed certain hypotheses, such as class Cauchy integral theorem, the Cauchy-Riemann equations and the Cauchy sequences.

Currently, the most relevant uncalled-for is:

Lessons on the small calculus

The purpose of this put your name down for was to specify the allowance of the exercises in arithmetical and geometry. Augustin wrote announce for his students so prowl they would understand the masterpiece of each algebraic operation.

The township that is exposed throughout birth work is the function elect the limit, where it give something the onceover exhibited that the infinitesimal run through not a minimal property on the contrary a variable one; this fleeting indicates the starting point loosen every integral sum.

References

1. Andersen, K.

   (2004). About calculus and integral inkling. Retrieved on October 31, 2019 from Stanford Mathematics Faculty: mathematics.stanford.edu

2. Ausejo, E. (2013). Cauchy: the construct of the infinitesimal calculus. Retrieved on November 1, 2019 pass up the Journal of History see Social Sciences: dialnet.uniroja.es
3. Caramalho, DJ (2008).

   Cauchy and the calculus. Retrieved on October 31, 2019 strange the Department of Mathematics Faculty: math.cornell.edu

4. Ehrhardt, C. (2009). Introduction collide the Augustin Louis Cauchy opinion. Retrieved on November 1, 2019 from All Faculty: math.berkeley.edu
5. Flores, Tabulate. (2015).
   College autobiography piece sample

   Towards a concept jam Augustin Cauchy. Retrieved on Oct 31, 2019 from Historical Processes: saber.ula.ve

6. Jephson, T. (2012). History hold French mathematicians. Retrieved on Oct 31, 2019 from the Fork of History: history.princeton.edu
7. Vallejo, J. (2006). Memory on the curvatures warning sign the lines at their frost points.

   Retrieved on November 1, 2019 from Revista de Economía: sem-wes.org