Download or read book The Development of Prime Number Theory written by Wladyslaw Narkiewicz and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. People were already interested in prime numbers in ancient times, and the first result concerning the distribution of primes appears in Euclid's Elemen ta, where we find a proof of their infinitude, now regarded as canonical. One feels that Euclid's argument has its place in The Book, often quoted by the late Paul ErdOs, where the ultimate forms of mathematical arguments are preserved. Proofs of most other results on prime number distribution seem to be still far away from their optimal form and the aim of this book is to present the development of methods with which such problems were attacked in the course of time. This is not a historical book since we refrain from giving biographical details of the people who have played a role in this development and we do not discuss the questions concerning why each particular person became in terested in primes, because, usually, exact answers to them are impossible to obtain. Our idea is to present the development of the theory of the distribu tion of prime numbers in the period starting in antiquity and concluding at the end of the first decade of the 20th century. We shall also present some later developments, mostly in short comments, although the reader will find certain exceptions to that rule. The period of the last 80 years was full of new ideas (we mention only the applications of trigonometrical sums or the advent of various sieve methods) and certainly demands a separate book.

Download or read book Bulletin of the American Mathematical Society written by and published by . This book was released on 1902 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The New Book of Prime Number Records written by Paulo Ribenboim and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text originated as a lecture delivered November 20, 1984, at Queen's University, in the undergraduate colloquium senes. In another colloquium lecture, my colleague Morris Orzech, who had consulted the latest edition of the Guinness Book of Records, reminded me very gently that the most "innumerate" people of the world are of a certain trible in Mato Grosso, Brazil. They do not even have a word to express the number "two" or the concept of plurality. "Yes, Morris, I'm from Brazil, but my book will contain numbers different from ·one.''' He added that the most boring 800-page book is by two Japanese mathematicians (whom I'll not name) and consists of about 16 million decimal digits of the number Te. "I assure you, Morris, that in spite of the beauty of the appar ent randomness of the decimal digits of Te, I'll be sure that my text will include also some words." And then I proceeded putting together the magic combina tion of words and numbers, which became The Book of Prime Number Records. If you have seen it, only extreme curiosity could impel you to have this one in your hands. The New Book of Prime Number Records differs little from its predecessor in the general planning. But it contains new sections and updated records.

Download or read book Bulletin new Series of the American Mathematical Society written by and published by . This book was released on 1902 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematics of the 19th Century written by KOLMOGOROV and published by Birkhäuser. This book was released on 2013-11-11 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: This multi-authored effort, Mathematics of the nineteenth century (to be fol lowed by Mathematics of the twentieth century), is a sequel to the History of mathematics fram antiquity to the early nineteenth century, published in three 1 volumes from 1970 to 1972. For reasons explained below, our discussion of twentieth-century mathematics ends with the 1930s. Our general objectives are identical with those stated in the preface to the three-volume edition, i. e. , we consider the development of mathematics not simply as the process of perfecting concepts and techniques for studying real-world spatial forms and quantitative relationships but as a social process as weIl. Mathematical structures, once established, are capable of a certain degree of autonomous development. In the final analysis, however, such immanent mathematical evolution is conditioned by practical activity and is either self-directed or, as is most often the case, is determined by the needs of society. Proceeding from this premise, we intend, first, to unravel the forces that shape mathe matical progress. We examine the interaction of mathematics with the social structure, technology, the natural sciences, and philosophy. Throughan anal ysis of mathematical history proper, we hope to delineate the relationships among the various mathematical disciplines and to evaluate mathematical achievements in the light of the current state and future prospects of the science. The difficulties confronting us considerably exceeded those encountered in preparing the three-volume edition.

Download or read book International Catalogue of Scientific Literature 1901 1914 written by and published by . This book was released on 1904 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book International Catalogue of Scientific Literature written by and published by . This book was released on 1902 with total page 2482 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Revue Semestrielle Des Publications Mathematiques written by and published by . This book was released on 1903 with total page 820 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Rendiconti Del Circolo Matematico Di Palermo written by and published by . This book was released on 1904 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Sotheran s Price Current of Literature written by Henry Sotheran Ltd and published by . This book was released on 1905 with total page 678 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Sotheran s Price Current of Literature written by and published by . This book was released on 1905 with total page 682 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Nuncius written by and published by . This book was released on 1996 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annali di storia della scienza.

Download or read book International Catalogue of Scientific Literature 1901 14 written by and published by . This book was released on 1902 with total page 828 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book History of Zeta Functions written by Robert Spira and published by . This book was released on 1999 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Supplemento Ai Rendiconti Del Circolo Matematico Di Palermo written by Circolo matematico di Palermo and published by . This book was released on 1997 with total page 772 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Bollettino della Unione matematica italiana written by Unione matematica italiana and published by . This book was released on 1956 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Monografie Matematyczne written by and published by . This book was released on 1932 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: