# Mathematicians Sentence Examples

Pascal and P. de Fermat had initiated he brought very nearly to perfection; but the demonstrations are so involved, and the omissions in the chain of reasoning so frequent, that the Theorie analytique (1812) is to the best

**mathematicians**a work requiring most arduous study.Lessing' in 1773, which purports to have been sent by Archimedes to the

**mathematicians**at Alexandria in a letter to Eratosthenes.A work so widely circulated by the author naturally attracted attention, but in France it was principally the

**mathematicians**who took it up, and their criticisms were more pungent than complimentary.Modern

**mathematicians**may find on reading this brilliant summary a good many dicta which they will call in question, but, whatever its defects may be, Peacock's report remains a work of permanent value.Thus early commenced the separation between what were long called mathematical and political geography, the one subject appealing mainly to

**mathematicians**, the other to historians.Roberval was one of those

**mathematicians**who, just before the invention of the infinitesimal calculus, occupied their attention with problems which are only soluble, or can be most easily solved, by some method involving limits or infinitesimals, and in the solution of which accordingly the calculus is always now employed.In the second, which took place in the Church of St John and St Paul, and lasted three days, he undertook to refute innumerable errors in Aristotelians,

**mathematicians**and schoolmen, to conduct his dispute either logically or by the secret doctrine of numbers, &c. According to Aldus, who attended the debate and published an account of it in his dedication to Crichton prefixed to Cicero's "Paradoxa" (1581), the young Scotsman was completely successful.This knowledge, joined to what he had gathered by historical reading of equally unusual extent, he carefully digested and gave to the world in his Biographisch-literarisches Handworterbuch zur Geschichte der exacten Wissenschaften, containing notices of the lives and labours of

**mathematicians**, astronomers, physicists, and chemists, of all peoples and all ages.Of the more immediate successors of Newton in Great Britain Maclaurin is probably the only one who can be placed in competition with the great

**mathematicians**of the continent of Europe at the time.But the desire to obtain general enunciations of theorems without exceptional cases has led

**mathematicians**to employ entities of ever-ascending types of elaboration.AdvertisementThese entities are not created by

**mathematicians**, they are employed by them, and their definitions should point out the construction of the new entities in terms of those already on hand.This is exactly the same reason as that which has led

**mathematicians**to work with signed real numbers in preference to real numbers, and with real numbers in preference to rational numbers.In the course of this process, undertaken for the first time with the rigour of

**mathematicians**, some contradictions have become apparent.Indeed,

**mathematicians**now reserve "continuity" as the term for the latter kind of continuity; the mere property of having an infinite number of terms between any two terms is called "compactness."The classification in question was drawn up by an international committee of eminent

**mathematicians**, and thus has the highest authority.AdvertisementIt was remarkable both for the brilliance of its achievements and for the large number of French

**mathematicians**of the first rank who flourished during it.Between them the general theory of the complex variable, and of the various "infinite" processes of mathematical analysis, was established, while other

**mathematicians**, such as Poncelet, Steiner, Lobatschewsky and von Staudt, were founding modern geometry, and Gauss inaugurated the differential geometry of surfaces.In the next and last period the progress of pure mathematics has been dominated by the critical spirit introduced by the German

**mathematicians**under the guidance of Weierstrass, though foreshadowed by earlier analysts, such as Abel.Leonardo's works are mainly developments of the results obtained by his predecessors; the influences of Greek, Arabian, and Indian

**mathematicians**may be clearly discerned in his methods.His standard work on algebra, written in Arabic, and other treatises of a similar character raised him at once to the foremost rank among the

**mathematicians**of that age, and induced Sultgn Malik-Shgh to summon him in A.H.AdvertisementMaxwell explained electric and magnetic forces, not by the action at a distance assumed by the earlier

**mathematicians**, but by stresses in a medium filling all space, and possessing qualities like those attributed to the old luminiferous ether.Few as were the years of work allotted to him, and few as are the printed pages covered by the record of his researches, his name is, and will remain, a household word among

**mathematicians**.Amongst the brilliant group of

**mathematicians**whose magnanimous rivalry contributed to accomplish the task of generalization and deduction reserved for the 18th century, Lagrange occupies an eminent place.Recognized as among the first

**mathematicians**of his day, he was also widely known for the universality and depth of his philological and philosophical knowledge.The time had come when the results obtained in the development and application of the law of gravitation by three generations of illustrious

**mathematicians**might be presented from a single point of view.AdvertisementAlthough the term " algebra " is now in universal use, various other appellations were used by the Italian

**mathematicians**during the Renaissance.Investigation of the writings of Indian

**mathematicians**has exhibited a fundamental distinction between the Greek and Indian mind, the former being pre-eminently geometrical and speculative, the latter arithmetical and mainly practical.It was proposed by Pierre de Fermat to Bernhard Frenicle de Bessy, and in 1657 to all

**mathematicians**.The Arabians more closely resembled the Hindus than the Greeks in the choice of studies; their philosophers blended speculative dissertations with the more progressive study of medicine; their

**mathematicians**neglected the subtleties of the conic sections and Diophantine analysis, and applied themselves more particularly to perfect the system of numerals, arithmetic and astronomy.Political and ecclesiastical dissensions occupied the greatest intellects, and the only progress to be recorded is in the art of computing or arithmetic, and the trans pons asinorum of the earlier

**mathematicians**.Contemporaneously with the remarkable discoveries of the Italian

**mathematicians**, algebra was increasing in popularity in Germany, France and England.In recent times many

**mathematicians**have formulated other kinds of algebras, in which the operators do not obey the laws of ordinary algebra.This study was inaugurated by George Peacock, who was one of the earliest

**mathematicians**to recognize the symbolic character of the fundamental principles of algebra.Liouville, Caspary, Jukovsky, Liapounoff, Kolosoff and others, chiefly Russian

**mathematicians**; and the general solution requires the double-theta hyperelliptic function.In 1826 he moved to Paris, and during a ten months' stay he met the leading

**mathematicians**of France; but he was little appreciated, for his work was scarcely known; and his modesty restrained him from proclaiming his researches.Under Abel's guidance, the prevailing obscurities of analysis began to be cleared, new fields were entered upon and the study of functions so advanced as to provide

**mathematicians**with numerous ramifications along which progress could be made.In 1724 he was offered the chair of mathematics in the university of Upsala, which he declined, on the ground that it was a mistake for

**mathematicians**to be limited to theory.This problem engaged the attention of British as well as continental

**mathematicians**; and its proposal gave rise to a painful quarrel with his brother Jean.In his dispute with his brother, in his controversies with the English and Scottish

**mathematicians**, and in his harsh and jealous bearing to his son Daniel, he showed a mean, unfair and violent temper.During the three centuries that have elapsed between Vieta's day and our own several changes of opinion have taken place on this subject, till the principle has at last proved so far victorious that modern

**mathematicians**like to make homogeneous such equations as are not so from the beginning, in order to get values of a symmetrical shape.Here you find articles in the encyclopedia about British

**mathematicians**.In like manner, after the French

**mathematicians**had attempted, with more or less ingenuity, to construct a theory of elastic solids from the hypothesis that they consist of atoms in equilibrium under the action of their mutual forces, Stokes and others showed that all the results of this hypothesis, so far at least as they agreed with facts, might be deduced from the postulate that elastic bodies exist, and from the hypothesis that the smallest portions into which we can divide them are sensibly homogeneous.He was well acquainted with the works of the

**mathematicians**of his own time, and has been called the "English d'Alembert."His researches on elliptic functions are of considerable elegance, but their great merit lies in the stimulating effect which they had on later

**mathematicians**.Many of Pell's manuscripts fell into the hands of Dr Busby, master of Westminster School, and afterwards came into the possession of the Royal Society; they are still preserved in something like forty folio volumes, which contain, not only Pell's own memoirs, but much of his correspondence with the

**mathematicians**of his time.This problem was proposed by Pierre de Fermat first to Bernhard Frenicle de Bessy, and in 1657 to all

**mathematicians**.These problems were also attacked by the Arabian

**mathematicians**; Tobit ben Korra (836-901) is credited with a solution, while Abul Gud solved it by means of a parabola and an equilateral hyperbola.Legendre had pursued the subject which would now be called elliptic integrals alone from 1786 to 1827, the results of his labours having been almost entirely neglected by his contemporaries, but his work had scarcely appeared in 1827 when the discoveries which were independently made by the two young and as yet unknown

**mathematicians**Abel and Jacobi placed the subject on a new basis, and revolutionized it completely.Pfaff's researches bore chiefly on the theory of series, to which he applied the methods of the so-called combinatorial school of German

**mathematicians**, and on the solution of differential equations.If 1 denotes the logarithm to base e (that is, the so-called "Napierian " or hyperbolic logarithm) and L denotes, as above, " Napier's " logarithm, the connexion between 1 and L is expressed by L = r o 7 loge 10 7 - 10 7 / or e t = I 07e-L/Ia7 Napier's work (which will henceforth in this article be referred to as the Descriptio) immediately on its appearance in 1614 attracted the attention of perhaps the two most eminent English

**mathematicians**then living - Edward Wright and Henry Briggs.In the preface Robert Napier says that he has been assured from undoubted authority that the new invention is much thought of by the ablest

**mathematicians**, and that nothing would delight them more than the publication of the mode of construction of the canon.Young men of talent, on the contrary, found his instruction most stimulating, and after Bowditch's death in 1838 Peirce stood first among American

**mathematicians**.The Premature Death Of Regiomontanus Caused The Design To Be Suspended For The Time; But In The Following Century Numerous Memoirs Appeared On The Subject, Among The Authors Of Which Were Staler, Albert Pighius, Johann Schbner, Lucas Gauricus, And Other

**Mathematicians**Of Celebrity.The Milanese sculptor, Ambrogio, who worked so much for Federigo, married a lady of Urbino, and was the progenitor of the Baroccio family, among whom were many able

**mathematicians**and painters.After five years spent in mathematical and astronomical studies, he went to Holland, in order to visit several eminent continental

**mathematicians**.At the same time, his characteristic exactness makes his collection a most admirable substitute for the texts of the many valuable treatises of earlier

**mathematicians**of which time has deprived us.The Cronica dei Matematici (published at Urbino in 1707) is an abridgment of a larger work, on which he had bestowed twelve years of labour, and which was intended to contain the lives of more than two hundred

**mathematicians**.He published a number of these theorems without demonstration as a challenge to contemporary

**mathematicians**.Here you find articles in the encyclopedia about

**mathematicians**.The Principia mathematica of Sir Isaac Newton, which chance threw in his way, caused him to prosecute his studies with vigour, and he soon became distinguished among first-rate

**mathematicians**.The school, however, produced few, if any, great

**mathematicians**between Newton and George Green.In the course of the ensuing ten years he published a large amount of original work, much of it dealing with the theory of invariants, which marked him as one of the foremost

**mathematicians**of the time.It was also by his orders that two learned

**mathematicians**undertook the measurement of a degree of the earth's circumference.No better testimony to the value of the quaternion method could be desired than the constant use made of its notation by

**mathematicians**like Clifford (in his Kinematic) and by physicists like ClerkMaxwell (in his Electricity and Magnetism).Coulomb's work received better publication than Cavendish's at the time of its accomplishment, and provided a basis on which

**mathematicians**could operate.He soon showed mathematical powers, but these were not fostered by the careful training

**mathematicians**usually receive, and it may be said that in after years his attention was directed to the higher mathematics mainly by force of circumstances.In this he was an innovator against the excessively analytic tendency of Cambridge

**mathematicians**.Jacobi and other

**mathematicians**have developed to a great extent, and as a question of pure mathematics only, Hamilton's processes, and have thus made extensive additions to our knowledge of differential equations.With the view of stimulating

**mathematicians**to write annotations on this admirable work, the celebrated 's Gravesande published a tract, entitled Specimen Commentarii in Arithmeticam Universalem; and Maclaurin's Algebra seems to have been drawn up in consequence of this appeal.In June 1696 Bernoulli addressed a letter to the

**mathematicians**of Europe challenging them to solve two problems - (1) to determine the brachistochrone between two given points not in the same vertical line, (2) to determine a curve such that, if a straight line drawn through a fixed point A meet it in two points P 1, P 2, then AP 1 m +AP 2 m will be constant.The six months elapsed without any solution being produced; but he received a letter from Leibnitz, stating that he had "cut the knot of the most beautiful of these problems," and requesting that the period for their solution should be extended to Christmas next, that the French and Italian

**mathematicians**might have no reason to complain of the shortness of the period.Thus we speak of counting up to a certain number; and similarly

**mathematicians**speak of high and ascending powers, while engineers speak of high pressure, high speed, high power, &c. This tendency is probably aided by the use of bricks or cubes in elementary number-teaching.Unlike most

**mathematicians**, De Morgan always laid much stress upon the importance of logical training.Throughout his logical writings De Morgan was led by the idea that the followers of the two great branches of exact science, logic and mathematics, had made blunders, - the logicians in neglecting mathematics, and the

**mathematicians**in neglecting logic. He endeavoured to reconcile them, and in the attempt showed how many errors an acute mathematician could detect in logical writings, and how large a field there was for discovery.In this position he acquired a wide knowledge of Chinese religion and civilization, and especially of their mathematics, so that he was able to show that Sir George Homer's method (1819) of solving equations of all orders had been known to the Chinese

**mathematicians**of the 14th century.The modifications of which these are susceptible he reports to be " inexhaustible and truly infinite, extension alone affording a boundless field to the

**mathematicians**."The business of drawing up the new calendar was entrusted to the president of the committee of public instruction, Charles Gilbert Romme (1750-1795), who was aided in the work by the

**mathematicians**Gaspard Monge and Joseph Louis Lagrange, the poet Fabre d'Eglantine and others.Numerous new fields were opened up, and have been diligently explored by many

**mathematicians**.When the subject was taken up by the continental

**mathematicians**, using the analytical method, the question naturally arose whether the motions of three bodies under their mutual attraction could not be determined with a degree of rigour approximating to that with which Newton had solved the problem of two bodies.Both irregularities had been noted, a century earlier, by Edmund Halley; both had, since that time, vainly exercised the ingenuity of the ablest

**mathematicians**; both now almost simultaneously yielded their secret to the same fortunate inquirer.But one may well believe that there was in his mind at any rate a foreshadowing of some of the ideas by which modern

**mathematicians**have finally laid to rest the traditional difficulties connected with infinity and continuity."These discoveries were unknown in western Europe for many centuries, and were re-invented and developed by many European

**mathematicians**.**Mathematicians**are rarely represented in main stream media, and when they are they don't exactly appear glamorous.**Mathematicians**undoubtedly use probability in a way that fits well with the propensity interpretation, but they leave it undefined.How to use the mailroom Did you ever want to ask the Pure

**Mathematicians**a tough question?The American mathematical Society has much mathematical information and links to many other web pages of interest to

**mathematicians**.The Institute of Mathematics and its Applications is the professional and learned society for qualified and practicing

**mathematicians**.The conference will bring together

**mathematicians**, physicists, and engineers of varying backgrounds and occupations.He had many students; now some of them are among leading

**mathematicians**.In fact, there are areas of mathematics that have been developed by

**mathematicians**on the assumption that the Riemann Hypothesis is true.It was studied by ancient

**mathematicians**due to its frequent appearance in geometry.Without a doubt, the future for applied

**mathematicians**looks very, very good.A close friendship developed between the two Swiss

**mathematicians**in exile.Here, too, he made the acquaintance of Claude Mydorge, one of the foremost

**mathematicians**of France, and renewed an early intimacy with Malin Mersenne (q.v.), now Father Mersenne, of the order of Minim friars.The stranger, Isaac Beeckman, principal of the college of Dort, offered to do so into Latin, if the inquirer would bring him a solution of the problem, - for the advertisement was one of those challenges which the

**mathematicians**of the age were accustomed to throw down to all corners, daring them to discover a geometrical mystery known as they fancied to themselves alone.He began by reading, with the most profound admiration and attention, the whole of Faraday's extraordinary self-revelations, and proceeded to translate the ideas of that master into the succinct and expressive notation of the

**mathematicians**.When this fundamental truth had been fully grasped,

**mathematicians**began to inquire whether algebras might not be discovered which obeyed laws different from those obtained by the generalization of arithmetic. The answer to this question has been so manifold as to be almost embarrassing.Notwithstanding these and other idiosyncratic appellations, European

**mathematicians**have adhered to the older name, by which the subject is now universally known.The Arabians more closely resembled the Hindus than the Greeks in the choice of studies; their philosophers blended speculative dissertations with the more progressive study of medicine; their

**mathematicians**neglected the subtleties of the conic sections and Diophantine analysis, and applied themselves more particularly to perfect the system of numerals (see Numeral), arithmetic and astronomy.In that year Adriaan van Roomen gave out as a problem to all

**mathematicians**an equation of the 45 th degree, which, being recognized by Vieta as depending on the equation between sin 4 and sin 43/45, was resolved by him at once, all the twenty-three positive roots of which the said equation was capable being given at the same time (see Trigonometry).The French

**mathematicians**, Coulomb, Biot, Poisson and Ampere, had been content to accept the fact that electric charges or currents in conductors could exert forces on other charges or conductors at a distance without inquiring into the means by which this action at a distance was produced.James Clerk Maxwell (1831-1879) entered on his electrical studies with a desire to ascertain if the ideas of Faraday, so different from those of Poisson and the French

**mathematicians**, could be made the foundation of a mathematical method and brought under the power of analysis.3 Maxwell started with the conception that all electric and magnetic phenomena are due to effects taking place in the dielectric or in the ether if the space be vacuous.To instruct his captains, pilots and other pioneers more fully in the art of navigation and the making of maps and instruments he procured, says Barros, the aid of one Master Jacome from Majorca, together with that of certain Arab and Jewish

**mathematicians**.Scientists,

**mathematicians**, musicians, artists, and sculptors have all proven over the centuries that you can find the Golden Ratio in everything, even our solar system.Although

**mathematicians**have actually carried the value of the Golden Ratio to 100,000,000,000 places, it is generally expressed as 1.618 and is known as Phi.As an infinite number, the value of Phi goes on indefinitely and

**mathematicians**have actually carried its value to 100 billion places.No one is exactly certain when

**mathematicians**discovered Phi, also known as the Golden Number, ancient people have used this number throughout history since the time the Egyptians built the pyramids in approximately 2575 B.C.ProTeacher.org provides a helpful suggestion for beginning

**mathematicians**.The Mayans were

**mathematicians**, great scholars, accomplished astronomers and astrologers.Historically, astrologers were

**mathematicians**who performed complex calculations based on specific formulas.Encouraging children to create reports or even stories about famous

**mathematicians**such as Richard Feynman, Einstein, or Pythagoras might also appeal to kids who aren't wanting to focus on numbers themselves, but on the history of math.The number 13 is an oddity and is considered an imperfection from artists to astrologers to

**mathematicians**.Autistic prodigious savants include musicians,

**mathematicians**and linguists.The time thus spent seems to have been on the whole happy, even allowing for warm discussions with the

**mathematicians**and metaphysicians of France, and for harassing controversies in the Netherlands.He was a member of almost every learned society in Europe, and one of the first

**mathematicians**of a mathematical age.His two sons, Jean and Jacques, are the last noted

**mathematicians**of the family.That principle had been made use of by the Greek authors of the classic age; but of later

**mathematicians**only Hero, Diophantus, &c., ventured to regard lines and surfaces as mere numbers that could be joined to give a new number, their sum.He is justly regarded as one of the greatest of

**mathematicians**.He had been much helped by his opportunities of intercourse with the great architects, engineers and

**mathematicians**who frequented the court of Milan - Bramante, Alberghetti, Andrea di Ferrara, Pietro Monti, Fazio Cardano and, above all, Luca Pacioli.His mathematical genius gained for him a high place in the 'esteem of Jean Bernoulli, who was at that time one of the first

**mathematicians**in Europe, as well as of his sons Daniel and Nicolas Bernoulli.In 1735 a problem proposed by the academy, for the solution of which several eminent

**mathematicians**had demanded the space of some months, was solvecdby Euler in three days,but the effort threw him into a fever which endangered his life and deprived him of the use of his right eye.