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Elements of Higher Mathematics: Learning Mathematics Through Numbers

This is a textbook for beginning mathematics students. Knowledge of school mathematics is not presumed: it starts with the basics of counting. The underlying idea is that the best way to learn mathematics is by doing mathematics. For beginning students it is sometimes a problem to assume when looking for proof. For the exercises in this textbook, this situation does not occur: except for the introductory part all is built on Peano's axioms for the natural numbers, using the language of set theory only. The book starts explaining the way mathematics works: the use of intuitive set theory and the relation between language and mathematical entities. The common thread in the book is the construction of the number system all the way from the natural numbers, via the rationals and the reals to the complex numbers. For the student, the advantages of this approach are: One learns concepts which are fundamental for all of mathematics. The common thread offers a natural way for the introduction of these concepts. It helps to stay motivated during the course. One learns to think like a mathematician. One obtains insight into the way mathematics is built from simple ideas. It helps to decide whether one is fitted for a mathematics study. For the interested reader also the other possible completions of the rationals - the p-adic numbers - are constructed. The book contains more than just the construction of the number system: there is also attention for its use, especially in combinatorics, number theory and cryptography, leaving mathematical analysis to the many textbooks for analysis and calculus courses.

Анжум ат-таворих

Худоёрхонзода қаламига мансуб "Анжум ат -таворих " номли мазкур асарда Қўқон хонлигининг ташкил топиш давридан бошлаб то 1843 йилгача бўлган воқеалар баён этилади. Асар Қўқон тарихнавислик мактабида ҳукмрон сулола вакили томонидан ёзилгани билан ажралиб туради ва унда Қўқон хонлигининг энг муҳим мураккаб даврларига оид жуда қимматли маълумотлар мавжуд.

Французско-Русский словарь.

Настоящий Карманный французско-русский словарь является одним из серии иностранно-русских и русско-иностранных карманных словарей выпуускаемых Издателъством.

TRIKOTAJ MATOSINI DEFORMATSION XUSUSIYATLARINI INOBATGA OLGAN HOLDA BADIIY GIMNASTIKA KIYIMLARINI ISHLAB CHIQISH

Mazkur monografiyada yuqori elastik trikotaj mato shuningdek, tikuv iplarining deformatsion xususiyatlarini tadqiqi asosida, turli mashqlar bajarish jarayonida sportchi qizlarning ergonomik harakatlarida noqulaylik keltirmaydigan, mintalitetimizga mos va mustahkam chokka ega bo‘lgan badiiy gimnastika sport kiyim dizayn-loyihasini ishlab chiqarish to‘g‘risida ma‘lumotlar keltirilgan.

Торговое племя

Торговое Племя началось в 1992 в Лос-Атосе, Калифорния, как небольшая группа трейдеров, которые встречались раз в неделю для того чтобы помочь друг другу улучшить свою торговлю. Сегодня Племена по всему миру проводят регулярные встречи для практики Процесса Торгового Племени (ПТП). Многие из новых членов даже не являются трейдерами. Они посещают встречи из-за той пользы, которые они вызывают в их жизни в общем. Эта книга является историей Торгового Племени, описанием того, как оно работает, и приглашением для вас испытать магию ПТП в своей собственной жизни.

Избранная библиография по исторической антропологии

Избранная библиография по исторической антропологии и родственным направлениям

Inheritance Law - Challenges and Reform : A Norwegian-German Research Seminar

In 2011 the Norwegian government appointed a Committee to prepare a proposal for a new inheritance act to replace the inheritance act of 1972. °°A German-Norwegian seminar on inheritance law took place in Bergen 2012 with a special attention to the ongoing reform of Norwegian inheritance law. The topics of the seminar were the protection of children and the surviving partner - both spouse and cohabitant. The seminar included presentations from scholars from both countries, each presented from a Norwegian and a German perspective. Several lectures also include a European perspective.

Дил ва имон манзиллари

Аллоҳ ва банда орасидаги йўл, масофа қанча? Ким бу йўлни тўғри танлайди-ю, кўзлаган манзилига етиб бора олади? Бу саволлар ҳар бир мўмин-мусулмоннинг дилига ўрнашган ва ҳамиша уни ҳаяжонга солган, умидлантирган, ҳаракатга ундаган ва баъзан хижолатга қўйган саволлардир.

АМС 12/AHSME 2010 yilgi masalalar to'plami

АМС 12/AHSME 2010

ИХТИСОСЛАШГАН КЕНГАШ ХАЛИДА ИЛМИЙ ДА РАЖ АЛ АР БЕРИШ ТАРТИБИ ТУГРИСИДА ИЛМИЙ УНВОНЛАР БЕРИШ ТАРТИБИ ТУГРИСИДА ЭКСПЕРТ КЕНГАШИ ТУГРИСИДА НИЗОМЛАР

Аспирантлар, докторантлар, илмий тадкикотчилар, илмий рахбарлар, маслахатчилар, ихтисослашган, илмий ва эксперт кснгашлар рахбариятлари хамда олий малакали илмий ва илмий- педагог кадрлар тайёрлаш ва атгестациядан утказиш сохдсвдаги мутахассислар учуй мулжалланган.

The Law of Inheritance & Administration of Deceased Estates in Malawi

This book discusses the law of inheritance and administration of deceased estates in Malawi. Its coverage includes basic concepts underlying inheritance; history of law of inheritance in Malawi; Will-making and testate inheritance; intestate inheritance; pension and inheritance of pension benefits and life insurance policies; other forms of inheritance like promissory estoppel, donationes mortis causa, rule in Strong v Bird and mutual Wills; estate duty; grants and personal representatives; and administration of deceased estates. Key statutes discussed include Constitution of Malawi, Deceased Estates (Wills, Inheritance and Protection) Act, Pensions Act, Estate Duty Act and Trustees Act. The book is designed as a reference for judicial officers, legal practitioners, public officers and administrators of deceased estates, law students, policy and legislative makers, pension fund managers, civil society activists (particularly on children and women's rights) and interested academics.

Қобуснома

Азиз китобхон! «Қобуснома» (XI) асари таржимаси табдилининг тўлдирилган мазкур нашри ўзбек тилида эълон қилинган ва биз китобхонларимизнинг талаб-истакларини инобатга олиб, уни қайтадан нашрга тайёрладик. Китоб сизу бизни ўз тақдиримиз устида жиддий ўйлашга ундайди.

Adaptive Diversification

Understanding the mechanisms driving biological diversity remains a central problem in ecology and evolutionary biology. Traditional explanations assume that differences in selection pressures lead to different adaptations in geographically separated locations. This book takes a different approach and explores adaptive diversification--diversification rooted in ecological interactions and frequency-dependent selection. In any ecosystem, birth and death rates of individuals are affected by interactions with other individuals. What is an advantageous phenotype therefore depends on the phenotype of other individuals, and it may often be best to be ecologically different from the majority phenotype. Such rare-type advantage is a hallmark of frequency-dependent selection and opens the scope for processes of diversification that require ecological contact rather than geographical isolation. Michael Doebeli investigates adaptive diversification using the mathematical framework of adaptive dynamics. Evolutionary branching is a paradigmatic feature of adaptive dynamics that serves as a basic metaphor for adaptive diversification, and Doebeli explores the scope of evolutionary branching in many different ecological scenarios, including models of coevolution, cooperation, and cultural evolution. He also uses alternative modeling approaches. Stochastic, individual-based models are particularly useful for studying adaptive speciation in sexual populations, and partial differential equation models confirm the pervasiveness of adaptive diversification. Showing that frequency-dependent interactions are an important driver of biological diversity, Adaptive Diversification provides a comprehensive theoretical treatment of adaptive diversification.

Постановление Президента Республики Узбекистан о широком праздновании 90-летия со дня рождения великого писателя и общественного деятеля Чингиза Айтматова

Чингиз Айтматов в Намангане

Факторы и условия повышения эффективности спортивной подготовки

Часть 4. Факторы и условия повышения эффективности спортивной подготовки

К ВОПРОСУ ИСТОРИКО-ТИПОЛОГИЧЕСКОГО ИЗУЧЕНИЯ ОБРАЗА ГОБСЕКА В ОДНОИМЕННОЙ ПОВЕСТИ ОНОРЕ ДЕ БАЛЬЗАКА

К ВОПРОСУ ИСТОРИКО-ТИПОЛОГИЧЕСКОГО ИЗУЧЕНИЯ ОБРАЗА ГОБСЕКА В ОДНОИМЕННОЙ ПОВЕСТИ ОНОРЕ ДЕ БАЛЬЗАКА