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Elementary Number Theory: Primes, Congruences, and Secrets

This is a book about prime numbers, congruences, secret messages, and elliptic curves that you can read cover to cover. It grew out of undergraduate courses that the author taught at Harvard, UC San Diego, and the University of Washington. The systematic study of number theory was initiated around 300B.C. when Euclid proved that there are infinitely many prime numbers, and also cleverly deduced the fundamental theorem of arithmetic, which asserts that every positive integer factors uniquely as a product of primes. Over a thousand years later (around 972A.D.) Arab mathematicians formulated the congruent number problem that asks for a way to decide whether or not a given positive integer n is the area of a right triangle, all three of whose sides are rational numbers. Then another thousand years later (in 1976), Diffie and Hellman introduced the first ever public-key cryptosystem, which enabled two people to communicate secretely over a public communications channel with no predetermined secret; this invention and the ones that followed it revolutionized the world of digital communication. In the 1980s and 1990s, elliptic curves revolutionized number theory, providing striking new insights into the congruent number problem, primality testing, publickey cryptography, attacks on public-key systems, and playing a central role in Andrew Wiles’ resolution of Fermat’s Last Theorem.

A World Without Hunger Josué de Castro and the History of Geography

This book began life as a PhD dissertation supervised by Alex Loftus at King’s College London. Alex’s influence as a thinker and as an extraordi- narily kind and generous teacher can be found on every page.

Произведения современных зарубежгых композиторов.

Пастораль. Скерцино. Тик-так. Птицы прилетают. Песня. Хоро. Осенняя картина. Ручеек.Две пьесы для детей. Вечер в деревне.

COMPUTER NETWORKS

In data communications, text is represented as a bit pattern, a sequence of bits (Os or Is). Different sets of bit patterns have been designed to represent text symbols. Each set is called a code, and the process of representing symbols is called coding. Today, the prevalent coding system is called Unicode, which uses 32 bits to represent a symbol or character used in any language in the world. The American Standard Code for Information Interchange (ASCII), developed some decades ago in the United States, now constitutes the first 127 characters in Unicode and is also referred to as Basic Latin.

The Easy Way

This book is about learning the Django web framework with simple, practical examples. It guides you through all the main concepts one at the time. We will work on many small projects rather than working on a single big application through the book. This helps digesting the information as the projects have less distracting code from previous chapters. By the end of the book you should have a solid understanding of how to build and deploy apps with Django.

The Invention and Reinvention of Big Bill Broonzy

Most proj ects of this scale materialize only through the exhaustive efforts of many, many people. From beginning to end, I have constantly relied on the unmatched wisdom and unending support of a chorus of patient colleagues, friends, and family, whose contributions have made this study far better than I could have alone. I am forever grateful for their encouraging words and pointed criticisms, which have shaped the direction of this book from cover to cover.

Разработка мобильных приложений под Android

Изначально разработкой ОС «Android» занималась компания Android Inc. В 2005 году Google выкупила Android за $130 млн. Как отметил Дэвид Лове, вице-президент компании,на симпозиуме в Стэнфорде: «Приобретение Android — это самое значительное приобретение Google за все время существования компании». Однако днем рождения ОС принято считать другую дату — 05 ноября 2007г., когда Google объявила о создании Open Handset Alliance (OHA) — группы компаний, занимающихся разработкой стандартов ПО для мобильных устройств.

Geographies of Liberation

This project has been profoundly shaped by the multiple geographies in which it has traveled. At the University of New Mexico (UNM) I have been surrounded by colleagues focused on the critical study of the colonial pres-ent as well as Albuquerque, a city in which the colonial present is ever vis-ible.

AN INTRODUCTION TO DIOPHANTINE EQUATIONS

Diophantus, the "father of algebra", is best known for his book Arithmetica, a work on the solution of algebraic equations and on the theory of numbers. However, essentially nothing is known of his life and there has been much debate regarding the date at which he lived. Diophantus did his work in the great city of Alexandria. At this time Alexandria was the center of mathematical learning. During the time span from 250 BC to 350 AD, Alexandria was know to be in the "Silver Age" or also known as the Later Alexandrian Age. This was a time when mathematicians were discovering many ideas that lead to our concept of today's mathematics. This time was considered "Silver" because it came after what was known as the "Golden Age". The "Golden Age" was a time of great development in the field of mathematics. This "Golden Age" is considered to be around the time of Euclid. The quality that came out of this time period inspired much of the mathematics, which we use today.

The Geography of Scienti fi c Collaboration

This collaborative book on the spatial aspects of research collaboration has its origins in a serendipitous temporal co-location. In 2008, aimlessly roaming the o ffi ces of EUROREG at the University of Warsaw, Adam stopped in front of the screen fi lled by a large spreadsheet. It was Agnieszka ’ s computer, on which she was parsing massive co-authorship data.

Nationalism in a Transnational Age

We might believe we live in a postmodern and postnational world. And we might want to believe that a transnational age will secure peace, but the truth is, as political scientist and Princeton University professor Jan-Werner Müller emphasized in 2019, that “[t]here appears to be one indisputable global trend today: the rise of nationalism.

ТЕМУР ВА ТЕМУРИЙЛАР САЛТАНАТИ

14-асрнинг 2 ярми ва 15- аср Ватанимиз тарихида вокеаларга ниҳоятда бой тарихий сабок даври ҳисобланади. Чунки бу даврда мўғуллар хукмронлиги ва феодал тарқоқлик тугатилиб, босқинчиларнинг вайронагарчиликлари ва бир ярим асрлик зулмлари окибатида иқтисодий, маданий-маърифий тургунлик холатига тушиб колган мамлакатимиз ўз мустақил лигини қайта тиклашга киришди. Бу диёрда Амир Темур бошчилигида ягона туг остида марказлашган, кучли ва мустакил феодал дав лат ташкил топди. Марказий Осиё халқлари хаётида юз берган бу тарихий воқеада, шубхасиз, Амир Темурнинг хизмати ғоят буюкдир. Ўз давлатининг куч-қудратини ошириб, уни мустаҳкамлаш учун авваламбор у харбий ва иктисодий ислоҳот ўтказди. Яхши қуроллан ган мунтазам қўшин тузди. Давлат бошкарув тизимларини харбий стратегия (савкулжайш) ва тактикаси (таъбиятулжайш)ни ишлаб чикди ва каттик синовлардан ўтқазди.

Ўрта Осиёлик қирқ олим

Мамлакатимизда фан ва маданият кун сайин гуркираб ўсмоқда. Фан ва маданият арбобларини ардоқлаш тузумимиз қонига сингиб кетган фазилатлардан биридир. Ана шунинг учун ҳам мамлакатимизда фанга хизмат қилиш олимларимиз учун фахрли бир ишга айланиб қолди, чунки маданият ва маърифат ҳамда тараққиётга хизмат қилган киши қўшган ҳиссасига яраша ҳурмат ва эҳтиромга сазовор бўлади, бу эса замон- дошларга, айниқса, ёш авлодга ўрнак ва намуна рамзига айланади.

Ўзбекистон тарихида қадимги Фаргона

Қўлингиздаги ушбу китоб 3 та илмий рисоладан иборат бўлиб, Фаргонанинг бир миллион йиллик узоқ ўтмиш тарихига бағиш ланган. Унда янги археологик материаллар асосида шаҳарлар- нинг пайдо бўлиши ва уларни тарихий тараққиёти илмий-омма- боп услубда баён қилинган. Шу билан бирга Фарғонада илк дав- латчиликнинг пайдо бўлиши ва у билан бевосита боғлиқ бўлган сунъий сугориб деҳқончилик интенсив йўлга қўйилишига оид янги маълумотлар бор. Қадимги Фаргона тарихига бағишланган ушбу тўплам тарих фани ўқитувчиларига, университетнинг тарих факультети та- лабаларига ҳамда ўзбек халқи ва унинг давлатчилик тарихи би- лан қизиқувчи барча китобхонларга мўлжалланган.

Амир Темур аждодлари

Китоб аввалида (16-15 6 варақлар) Оллоҳ зоти ва Муҳаммад пайғамбарга ҳамду сано; Амир Темур, Шохрух ва Иброҳим Султон шаънига мақтов; «Муқаддима»ни ёзишдан мақсад; тарихни ўрганишнинг аҳамияти; оламнинг яратилиши ва тузилиши; пайғамбарлар ҳақида қисқа сўз; Одам атонинг яратилиши ва ундан тарқалган авлод; Нуҳ пайғамбар тарихидан иборат лавҳалар берилган. Ундан сўнг матн қуйидагича давом этади.

ENVIRONMENTAL CONTAMINANTS IN BIOTA nterpreting Tissue Concentrations

This book contains information obtained from authentic and highly regarded sources. Reasonable efforts have been made to publish reliable data and information, but the author and publisher cannot assume responsibility for the valid- ity of all materials or the consequences of their use.