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 Rational Number Theory in the 20th Century written by Władysław Narkiewicz and published by Springer Science & Business Media. This book was released on 2011-09-02 with total page 659 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last one hundred years have seen many important achievements in the classical part of number theory. After the proof of the Prime Number Theorem in 1896, a quick development of analytical tools led to the invention of various new methods, like Brun's sieve method and the circle method of Hardy, Littlewood and Ramanujan; developments in topics such as prime and additive number theory, and the solution of Fermat’s problem. Rational Number Theory in the 20th Century: From PNT to FLT offers a short survey of 20th century developments in classical number theory, documenting between the proof of the Prime Number Theorem and the proof of Fermat's Last Theorem. The focus lays upon the part of number theory that deals with properties of integers and rational numbers. Chapters are divided into five time periods, which are then further divided into subject areas. With the introduction of each new topic, developments are followed through to the present day. This book will appeal to graduate researchers and student in number theory, however the presentation of main results without technicalities will make this accessible to anyone with an interest in the area.

Download or read book From Great Discoveries in Number Theory to Applications written by Michal Křížek and published by Springer Nature. This book was released on 2021-09-21 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an overview of many interesting properties of natural numbers, demonstrating their applications in areas such as cryptography, geometry, astronomy, mechanics, computer science, and recreational mathematics. In particular, it presents the main ideas of error-detecting and error-correcting codes, digital signatures, hashing functions, generators of pseudorandom numbers, and the RSA method based on large prime numbers. A diverse array of topics is covered, from the properties and applications of prime numbers, some surprising connections between number theory and graph theory, pseudoprimes, Fibonacci and Lucas numbers, and the construction of Magic and Latin squares, to the mathematics behind Prague’s astronomical clock. Introducing a general mathematical audience to some of the basic ideas and algebraic methods connected with various types of natural numbers, the book will provide invaluable reading for amateurs and professionals alike.

Download or read book Algorithmic Number Theory Efficient algorithms written by Eric Bach and published by MIT Press. This book was released on 1996 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 1.

Download or read book Classical Problems in Number Theory written by Władysław Narkiewicz and published by . This book was released on 1986 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Classical Problems in Number Theory written by and published by . This book was released on 1932 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Numbers in Polish written by Daniel Nunn and published by Capstone Classroom. This book was released on 2012-07 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teaches how to say the numbers one to ten in Polish using labeled illustrations for support. Includes Polish-English dictionary and pronunciation guide.

Download or read book English in Business written by Jacek Gordon and published by e-bookowo. This book was released on 2023-10-10 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt: ENGLISH IN BUSINESS to angielsko-polski słownik i leksykon definicji z zakresu szeroko rozumianego słownictwa z dziedziny finansów, bankowości oraz terminów ekonomicznych i używanych w ubezpieczeniach. Całość liczy ponad 12 tysięcy haseł słownikowych oraz 6725 definicji opisowych. Publikacja jest także podręcznikiem dla osób uczących się Business English i jest przeznaczona na komputery i tablety.

Download or read book Reviews in Number Theory as Printed in Mathematical Reviews 1940 Through 1972 Volumes 1 44 Inclusive written by William Judson LeVeque and published by . This book was released on 1974 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The structure of the Uniate Tura Pinsk eparchy in the 17th and 18th centuries written by Wojciech Walczak and published by Instytut Badań nad Dziedzictwem Kulturowym Europy. This book was released on 2013-06-05 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Multilingual Student s Dictionary of Basic Terms Used in Sciencew and Technology English French German Polish written by Halina Zamoyska and published by . This book was released on 1993 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Fibonacci s Liber Abaci written by Laurence Sigler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1202, Fibonacci’s Liber Abaci was one of the most important books on mathematics in the Middle Ages, introducing Arabic numerals and methods throughout Europe. This is the first translation into a modern European language, of interest not only to historians of science but also to all mathematicians and mathematics teachers interested in the origins of their methods.

Download or read book Manual of Polish and English conversation written by Erazm Lucyan Kasprowicz and published by . This book was released on 1912 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book English in Use written by Jacek Gordon and published by e-bookowo. This book was released on 2023-07-10 with total page 2091 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kurs języka angielskiego dla osób początkujących i średniozaawansowanych wypróbowaną i bardzo skuteczną metodą opracowaną przez autora i zawierający ok. 25 tysięcy słów i zwrotów, niezbędnych w codziennej komunikacji. Kurs jest samowystarczalny; tzn. zawiera wszelkie niezbędne słownictwo i zwroty, ich wymowę oraz objaśnienia gramatyczne.

Download or read book A Manual of Polish and English Conversation written by Erazm Lucyan Kasprowicz and published by . This book was released on 1912 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Number Words and Number Symbols written by Karl Menninger and published by Courier Corporation. This book was released on 2013-04-10 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classic study discusses number sequence and number language, then explores written numerals and computations in a wide range of cultures. 282 illustrations. "Superior narrative ability." — Library Journal.

Download or read book The Book of Numbers written by John H. Conway and published by Springer Science & Business Media. This book was released on 1998-03-16 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: "...the great feature of the book is that anyone can read it without excessive head scratching...You'll find plenty here to keep you occupied, amused, and informed. Buy, dip in, wallow." -IAN STEWART, NEW SCIENTIST "...a delightful look at numbers and their roles in everything from language to flowers to the imagination." -SCIENCE NEWS "...a fun and fascinating tour of numerical topics and concepts. It will have readers contemplating ideas they might never have thought were understandable or even possible." -WISCONSIN BOOKWATCH "This popularization of number theory looks like another classic." -LIBRARY JOURNAL