The Development of Prime Number Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3662131579
Total Pages : 457 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis The Development of Prime Number Theory by : Wladyslaw Narkiewicz

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.

Rational Number Theory in the 20th Century

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Publisher : Springer Science & Business Media
ISBN 13 : 0857295322
Total Pages : 659 pages
Book Rating : 4.8/5 (572 download)

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Book Synopsis Rational Number Theory in the 20th Century by : Władysław Narkiewicz

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.

From Great Discoveries in Number Theory to Applications

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Publisher : Springer Nature
ISBN 13 : 3030838994
Total Pages : 342 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis From Great Discoveries in Number Theory to Applications by : Michal Křížek

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.

Making Numbers Count

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Publisher : Simon and Schuster
ISBN 13 : 1982165456
Total Pages : 208 pages
Book Rating : 4.9/5 (821 download)

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Book Synopsis Making Numbers Count by : Chip Heath

Download or read book Making Numbers Count written by Chip Heath and published by Simon and Schuster. This book was released on 2022-01-11 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: A clear, practical, first-of-its-kind guide to communicating and understanding numbers and data—from bestselling business author Chip Heath. How much bigger is a billion than a million? Well, a million seconds is twelve days. A billion seconds is…thirty-two years. Understanding numbers is essential—but humans aren’t built to understand them. Until very recently, most languages had no words for numbers greater than five—anything from six to infinity was known as “lots.” While the numbers in our world have gotten increasingly complex, our brains are stuck in the past. How can we translate millions and billions and milliseconds and nanometers into things we can comprehend and use? Author Chip Heath has excelled at teaching others about making ideas stick and here, in Making Numbers Count, he outlines specific principles that reveal how to translate a number into our brain’s language. This book is filled with examples of extreme number makeovers, vivid before-and-after examples that take a dry number and present it in a way that people click in and say “Wow, now I get it!” You will learn principles such as: -SIMPLE PERSPECTIVE CUES: researchers at Microsoft found that adding one simple comparison sentence doubled how accurately users estimated statistics like population and area of countries. -VIVIDNESS: get perspective on the size of a nucleus by imagining a bee in a cathedral, or a pea in a racetrack, which are easier to envision than “1/100,000th of the size of an atom.” -CONVERT TO A PROCESS: capitalize on our intuitive sense of time (5 gigabytes of music storage turns into “2 months of commutes, without repeating a song”). -EMOTIONAL MEASURING STICKS: frame the number in a way that people already care about (“that medical protocol would save twice as many women as curing breast cancer”). Whether you’re interested in global problems like climate change, running a tech firm or a farm, or just explaining how many Cokes you’d have to drink if you burned calories like a hummingbird, this book will help math-lovers and math-haters alike translate the numbers that animate our world—allowing us to bring more data, more naturally, into decisions in our schools, our workplaces, and our society.

Algorithmic Number Theory: Efficient algorithms

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Publisher : MIT Press
ISBN 13 : 9780262024051
Total Pages : 536 pages
Book Rating : 4.0/5 (24 download)

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Book Synopsis Algorithmic Number Theory: Efficient algorithms by : Eric Bach

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.

Classical Problems in Number Theory

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Publisher :
ISBN 13 :
Total Pages : 374 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Classical Problems in Number Theory by : Władysław Narkiewicz

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:

Classical Problems in Number Theory

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Publisher :
ISBN 13 :
Total Pages : 374 pages
Book Rating : 4.:/5 (4 download)

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Book Synopsis Classical Problems in Number Theory by :

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:

English in Business

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Publisher : e-bookowo
ISBN 13 : 839686733X
Total Pages : 602 pages
Book Rating : 4.3/5 (968 download)

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Book Synopsis English in Business by : Jacek Gordon

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.

Reviews in Number Theory, as Printed in Mathematical Reviews, 1940 Through 1972, Volumes 1-44 Inclusive

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Publisher :
ISBN 13 :
Total Pages : 436 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Reviews in Number Theory, as Printed in Mathematical Reviews, 1940 Through 1972, Volumes 1-44 Inclusive by : William Judson LeVeque

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:

The structure of the Uniate Turaŭ-Pinsk eparchy in the 17th and 18th centuries

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Publisher : Instytut Badań nad Dziedzictwem Kulturowym Europy
ISBN 13 : 8364103997
Total Pages : 236 pages
Book Rating : 4.3/5 (641 download)

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Book Synopsis The structure of the Uniate Turaŭ-Pinsk eparchy in the 17th and 18th centuries by : Wojciech Walczak

Download or read book The structure of the Uniate Turaŭ-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:

English in Use

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Publisher : e-bookowo
ISBN 13 : 8396867313
Total Pages : 2091 pages
Book Rating : 4.3/5 (968 download)

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Book Synopsis English in Use by : Jacek Gordon

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.

Manual of Polish and English conversation

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Publisher :
ISBN 13 :
Total Pages : 448 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Manual of Polish and English conversation by : Erazm Lucyan Kasprowicz

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:

A Manual of Polish and English Conversation

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Publisher :
ISBN 13 :
Total Pages : 448 pages
Book Rating : 4.:/5 (2 download)

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Book Synopsis A Manual of Polish and English Conversation by : Erazm Lucyan Kasprowicz

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:

Podręcznik do egzaminu B2 z języka angielskiego

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Publisher : e-bookowo
ISBN 13 : 8396867364
Total Pages : 2515 pages
Book Rating : 4.3/5 (968 download)

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Book Synopsis Podręcznik do egzaminu B2 z języka angielskiego by : Jacek Gordon

Download or read book Podręcznik do egzaminu B2 z języka angielskiego written by Jacek Gordon and published by e-bookowo. This book was released on 2024-01-18 with total page 2515 pages. Available in PDF, EPUB and Kindle. Book excerpt: Podręcznik do egzaminu B2 z języka angielskiego to e-book zawierający cały potrzebny materiał do nauki dla osób przygotowujących się do egzaminu na poziomie B2, ale także dla osób, które uczą się samodzielnie języka angielskiego. E-book zawiera słowa i zwroty niezbędne do zdania tego egzaminu poprzez naukę wg. wypróbowanej i skutecznej metody opracowanej przez autora oraz pełny przegląd gramatyki angielskiej. Podręcznik jest przystosowany do używania na komputerach i tabletach.

Group 15. Mechanics of Fluids

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Publisher : Elsevier
ISBN 13 : 1483224074
Total Pages : 463 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Group 15. Mechanics of Fluids by : A. T. Troskolański

Download or read book Group 15. Mechanics of Fluids written by A. T. Troskolański and published by Elsevier. This book was released on 2014-05-12 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vocabulary of Mechanics, Volume 2: Group 15. Mechanics of Fluids provides information pertinent to the fundamental aspects of the mechanics of fluids. This book covers a variety of topics, including fluid mechanics, hydrostatics, aeromechanics, gas dynamics, aeroelasticity, and dynamic meteorology. Organized into two parts encompassing 95 sections, this volume begins with an overview of the branch of mechanics dealing with the phenomena of fluids in motion and at rest. This text then deals with the geometrical description of the flow of matter, irrespectively of the forces producing the motion. Other sections consider the instantaneous motion of a fluid element wherein the motion is composed of translation of the center of mass of a fluid element. This book discusses as well the relative equilibrium of liquids. The final section deals with the atmospheric air motion caused by several factors. This book is a valuable resource for engineers, scientists, and research workers.

Multilingual Student's Dictionary of Basic Terms Used in Sciencew and Technology ; English, French, German, Polish

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Publisher :
ISBN 13 :
Total Pages : 444 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Multilingual Student's Dictionary of Basic Terms Used in Sciencew and Technology ; English, French, German, Polish by : Halina Zamoyska

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:

Uncertainty and Imprecision in Decision Making and Decision Support - New Advances, Challenges, and Perspectives

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Publisher : Springer Nature
ISBN 13 : 3031450698
Total Pages : 353 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Uncertainty and Imprecision in Decision Making and Decision Support - New Advances, Challenges, and Perspectives by : Krassimir T. Atanassov

Download or read book Uncertainty and Imprecision in Decision Making and Decision Support - New Advances, Challenges, and Perspectives written by Krassimir T. Atanassov and published by Springer Nature. This book was released on 2023-10-20 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is composed of selected papers from two conferences held in Warsaw, Poland on October 13-15, 2022: the BOS/SOR’2022 - National Conference on Operational and Systems Research, one of premiere conferences in the field of operational and systems research, and the Twentith International Workshop on Intuitionistic Fuzzy Sets and Generalized Nets, IWIFSGN-2022, one of premiere conferences on fuzzy logic, notably on extensions of the traditional fuzzy sets, also comprising a considerable part on the Generalized Nets (GNs). A joint publication of selected papers from the two conferences follows a long tradition of such a joint organization, and – from a substantial point of view – combines systems modeling, systems analysis, broadly perceived operational research, notably optimization, decision making and decision support, with various aspects of uncertain and imprecise information and their related tools and techniques.