Название: Introduction to Probability
Автор: David F. Anderson, Timo Seppalainen
Издательство: Cambridge University Press
Серия: Cambridge Mathematical Textbooks
Год: 2018
Страниц: 445
Язык: английский
Формат: pdf (true)
Размер: 18.9 MB

This classroom-tested textbook is an introduction to probability theory, with the right balance between mathematical precision, probabilistic intuition, and concrete applications. Introduction to Probability covers the material precisely, while avoiding excessive technical details. After introducing the basic vocabulary of randomness, including events, probabilities, and random variables, the text offers the reader a first glimpse of the major theorems of the subject: the law of large numbers and the central limit theorem. The important probability distributions are introduced organically as they arise from applications. The discrete and continuous sides of probability are treated together to emphasize their similarities. Intended for students with a calculus background, the text teaches not only the nuts and bolts of probability theory and how to solve specific problems, but also why the methods of solution work.

Название: Abstract Algebra with Applications
Автор: Audrey Terras
Издательство: Cambridge University Press
Серия: Cambridge Mathematical Textbooks
Год: 2019
Страниц: 327
Язык: английский
Формат: pdf (true)
Размер: 26.3 MB

Abstract Algebra with Applications provides a friendly and concise introduction to algebra, with an emphasis on its uses in the modern world. The first part of this book covers groups, after some preliminaries on sets, functions, relations, and induction, and features applications such as public-key cryptography, Sudoku, the finite Fourier transform, and symmetry in chemistry and physics. The second part of this book covers rings and fields, and features applications such as random number generators, error correcting codes, the Google page rank algorithm, communication networks, and elliptic curve cryptography. The book's masterful use of colorful figures and images helps illustrate the applications and concepts in the text. Real-world examples and exercises will help students contextualize the information. Intended for a year-long undergraduate course in algebra for mathematics, engineering, and computer science majors, the only prerequisites are calculus and a bit of courage when asked to do a short proof.

Название: Physical Mathematics, 2nd Edition
Автор: Kevin Cahill
Издательство: Cambridge University Press
Год: 2019
Формат: PDF
Страниц: 778
Размер: 41,6 Mb
Язык: English

Unique in its clarity, examples, and range, Physical Mathematics explains simply and succinctly the mathematics that graduate students and professional physicists need to succeed in their courses and research. The book illustrates the mathematics with numerous physical examples drawn from contemporary research.

Название: The New International System of Units (SI): Quantum Metrology and Quantum Standards
Автор: Ernst O. Göbel, Uwe Siegner
Издательство: Wiley-VCH
Год: 2019
Формат: PDF
Страниц: 272
Размер: 18 Mb
Язык: English

The International System of Units, the SI, provides the foundation for all measurements in science, engineering, economics, and society. The SI has been fundamentally revised in 2019. The new SI is a universal and highly stable unit system based on invariable constants of nature. Its implementation rests on quantum metrology and quantum standards, which base measurements on the manipulation and counting of single quantum objects, such as electrons, photons, ions, and flux quanta.

Название: Тригонометрия
Автор: Гельфанд И.М., Львовский С.М., Тоом А.Л.
Издательство: М.:МЦНМО
Год: 2002
ISBN: 5-94057-050-X
Формат: pdf
Страниц: 198
Размер: 11,1 Мб
Язык: Русский

Эта книга, написанная группой авторов под руководством академика И. М. Гельфанда — одного из крупнейших математиков XX века, призвана опровергнуть расхожее мнение о тригонометрии как скучном и непонятном разделе школьного курса математики. Читателю предлагается взглянуть на знакомый предмет по-новому.

Название: Основы геодезии и топография местности
Автор: Кузнецов О. Ф.
Издательство: М.: Инфра-Инженерия
Год: 2017
Формат: pdf
Страниц: 286
Размер: 35 mb
Язык: Русский

Представлены основные разделы изучения геодезии и топографии: от определения системы координат в геодезии до производства топографических съемок. Изложение материала ведется по принципу постепенного расширения темы: постановка задачи на уровне исходных понятий, описание решения с выводом необходимых формул, выводы и практические рекомендации.

Название: Knowledge Cartography: Software Tools and Mapping Techniques
Автор: Alexandra Okada, Simon J. Buckingham Shum
Издательство: Springer
Год: 2008
Формат: PDF
Размер: 38 Мб
Язык: английский / English

Knowledge maps are ideal tools for capturing, organizing and extracting meaning from many different sources. They provide powerful graphic tools for classifying, representing and communicating information. This book discusses significant new research and explains its underlying principles in terms of Knowledge Cartography. With contributions from leading researchers and practitioners, it offers a rich variety of conceptual frameworks, mapping techniques and case studies.

Название: A Dingo Ate My Math Book: Mathematics from Down Under
Автор: Burkard Polster, Marty Ross
Издательство: American Mathematical Society
Год: 2017
Формат: PDF
Размер: 7 Мб
Язык: английский / English

A Dingo Ate My Math Book presents ingenious, unusual, and beautiful nuggets of mathematics with a distinctly Australian flavor. It focuses, for example, on Australians' love of sports and gambling, and on Melbourne's iconic, mathematically inspired architecture. Written in a playful and humorous style, the book offers mathematical entertainment as well as a glimpse of Australian culture for the mathematically curious of all ages.

Название: Beyond Measure: A Guided Tour Through Nature, Myth and Number
Автор: Jay Kappraff
Издательство: World Scientific Publishing
Год: 2002
Формат: EPUB
Размер: 41 Мб
Язык: английский / English

This book consists of essays that stand on their own but are also loosely connected. Part I documents how numbers and geometry arise in several cultural contexts and in nature: the ancient musical scale, proportion in architecture, ancient geometry, megalithic stone circles, the hidden pavements of the Laurentian library, the shapes of the Hebrew letters, and the shapes of biological forms. The focus is on how certain numbers, such as the golden and silver means, present themselves within these systems. Part II shows how many of the same numbers and number sequences are related to the modern mathematical study of numbers, dynamical systems, chaos, and fractals.

Название: A Creative Approach to Music Fundamentals, 11th Edition
Автор: William Duckworth
Издательство: Cengage Learning
Год: 2012
Формат: PDF
Размер: 29 Мб
Язык: английский / English

A CREATIVE APPROACH TO MUSIC FUNDAMENTALS is a reader-friendly, creative text that focuses on music fundamentals through written and aural exercises. In addition, the text strives to teach students how to create music through learning rhythm, melody, scales, intervals, and triads.