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Author: Jarz Laïde (nombrescomposesetpremiers.com) Publisher: Jarz Laïde ISBN: 1778092314 Category : Mathematics Languages : en Pages : 180
Book Description
This manuscript is devoted to the classification of odd numbers not multiple of 3 and 5, according to their remainders of divisions by 9. This classification, will lead us to a sub-classification of the resulting numbers, which we will call ‘classes’ I and II. A second classification based on modulo 90 will have the advantage both visual and practical, of handling these numbers easily. The first part of this work deals with the search for divisors of small composite numbers of ‘classes’ I and II, through simple and entertaining operations, using good old paper and pencil, and totally banning the use of the calculator. The second part, while remaining faithful to the use of the results of modulo 90, will introduce the notion of multiplication tables. This concept, although somewhat naïve, will prove to be a very practical tool, allowing to ‘track’ all the composite numbers I and II. The interesting consequence of this process will be the direct deduction of these mysterious numbers, which seemingly do what they want: the famous prime numbers. Far from being spoilers of all the odd numbers of ‘classes’ I and II, the latter are in fact great allies of their composite congeners. Their fundamental role is to occupy all the empty ‘cells’ that no product can fill. This very modest work, very humbly explores the depths of this magnificent ocean, nourished abundantly and ad infinitum, by the odd numbers of ‘classes’ I and II.
Author: Jarz Laïde (nombrescomposesetpremiers.com) Publisher: Jarz Laïde ISBN: 1778092314 Category : Mathematics Languages : en Pages : 180
Book Description
This manuscript is devoted to the classification of odd numbers not multiple of 3 and 5, according to their remainders of divisions by 9. This classification, will lead us to a sub-classification of the resulting numbers, which we will call ‘classes’ I and II. A second classification based on modulo 90 will have the advantage both visual and practical, of handling these numbers easily. The first part of this work deals with the search for divisors of small composite numbers of ‘classes’ I and II, through simple and entertaining operations, using good old paper and pencil, and totally banning the use of the calculator. The second part, while remaining faithful to the use of the results of modulo 90, will introduce the notion of multiplication tables. This concept, although somewhat naïve, will prove to be a very practical tool, allowing to ‘track’ all the composite numbers I and II. The interesting consequence of this process will be the direct deduction of these mysterious numbers, which seemingly do what they want: the famous prime numbers. Far from being spoilers of all the odd numbers of ‘classes’ I and II, the latter are in fact great allies of their composite congeners. Their fundamental role is to occupy all the empty ‘cells’ that no product can fill. This very modest work, very humbly explores the depths of this magnificent ocean, nourished abundantly and ad infinitum, by the odd numbers of ‘classes’ I and II.
Author: Jarz Laïde Publisher: Jarz Laïde ISBN: 1778092349 Category : Mathematics Languages : en Pages : 45
Book Description
This booklet follows on from our manuscript Order and evolution of composite odd numbers of ‘classes’ I and II – Consequences on prime numbers, in that it focuses on determining the divisors of an odd number. In this case, however, we are introducing the concept of “remainders” and the area of “remainders”. It deals with finding divisors of odd numbers using the concept of filling levels by 2, or the concept of the rectangle. The method involves rudimentary calculations, essentially of addition. The method is introduced using examples, then a general formulation is developed. Although this approach differs from that used in our previous manuscript, namely modulo 90, we will occasionally refer to previously introduced notions, in order to facilitate the reader’s understanding of certain mathematical expressions. However, this booklet can be read without reading our previous manuscript.
Author: Leonard Eugene Dickson Publisher: Courier Corporation ISBN: 0486442330 Category : Mathematics Languages : en Pages : 834
Book Description
The three-volume series History of the Theory of Numbers is the work of the distinguished mathematician Leonard Eugene Dickson, who taught at the University of Chicago for four decades and is celebrated for his many contributions to number theory and group theory. This second volume in the series, which is suitable for upper-level undergraduates and graduate students, is devoted to the subject of diophantine analysis. It can be read independently of the preceding volume, which explores divisibility and primality, and volume III, which examines quadratic and higher forms. Featured topics include polygonal, pyramidal, and figurate numbers; linear diophantine equations and congruences; partitions; rational right triangles; triangles, quadrilaterals, and tetrahedra; the sums of two, three, four, and n squares; the number of solutions of quadratic congruences in n unknowns; Liouville's series of eighteen articles; the Pell equation; squares in arithmetical or geometrical progression; equations of degrees three, four, and n; sets of integers with equal sums of like powers; Waring's problem and related results; Fermat's last theorem; and many other related subjects. Indexes of authors cited and subjects appear at the end of the book.
Author: Leonard Eugene Dickson Publisher: American Mathematical Soc. ISBN: 9780821819364 Category : Mathematics Languages : en Pages : 324
Book Description
The last volume of Dickson's History is the most modern, covering quadratic and higher forms. The treatment here is more general than in Volume II, which, in a sense, is more concerned with special cases. Indeed, this volume chiefly presents methods of attacking whole classes of problems. Again, Dickson is exhaustive with references and citations.
Author: Sir Thomas Heath Publisher: Courier Corporation ISBN: 0486162699 Category : Mathematics Languages : en Pages : 465
Book Description
Volume 1 of an authoritative two-volume set that covers the essentials of mathematics and features every landmark innovation and every important figure, including Euclid, Apollonius, Archimedes, and others.
Author: Jarz Laïde (nombrescomposesetpremiers.com)
Author: Jarz Laïde (nombrescomposesetpremiers.com)
Author: Jarz Laïde
Author: Thomas Little Heath
Author: Edward Brooks
Author: Nicomachus (of Gerasa.)
Author: Leonard Eugene Dickson
Author: Leonard Eugene Dickson
Author: Leonard Eugene Dickson
Author: Sir Thomas Little Heath
Author: Sir Thomas Heath