Global Number System


Book Description

SPECIAL FEATURES / DESCRIPTION 1) Presents high speed efficient number system. 2) Application of Vedic mathematics for higher studies. 3) Power of understanding Zero perfectly - Simplifies basic operation which in turn speed up other computation involving primitive operation like addition, subtraction, multiplication. 4) Gives simple, optimized method for Boolean minimization. The book is specially useful for engineering student / engineers. One can also study it to gain insight in mental math / speed math / number theory. 5) It also presents life philosophy discovered by author. ********************************************** For Joining course on aptitude / Visual math / Vedic math by author refer http://piclearner.com/ ************************************************* " Essence of mathematics lies in its freedom" - Georg Cantor " Pure mathematics is, in its way, the poetry of logical ideas." - Albert Einstein " As far as the laws of mathematics refer to reality, they are not certain, and as far as they are certain, they do not refer to reality. " - Albert Einstein “ In my opinion, all things in nature occur mathematically.” ― René Descartes " Mathematical Knowledge adds vigour to the mind, free it from prejudices & superstition " - John Arbuthnot Some mathematician, I believe, has said that true pleasure lies not in the discovery of truth, but in the search for it." -Tolstoy "Mathematics is the queen of science, and arithmetic the queen of mathematics." - Carl Friedrich Gauss "Truth is ever to be found in the simplicity, and not in the multiplicity and confusion of things." - Isaac Newton "Quantification is ultimate goal of mathematics.." - V. B. Jadhav "Truth is ultimate goal of supreme knowledge.." - V.B. Jadhav




Real World Numbers


Book Description

This book provides support in keeping with the major goals of National Council of Teachers of Mathematics curriculum. It provides an important mathematical topic, the number system, which will be learned through K-8th grade, and used through high school and college. The instructional emphasis is designed to communicate knowledge and skills in mathematics across different grade levels, while offering the opportunity for children to learn about the number system in a fun and easy way. The book focuses on key areas of important emphasis, necessary for building math fluency in pre-algebra and algebra.




The Book of Numbers


Book Description

This book displays large images of numerals used in all of the world's major numbering systems from antiquity to the present. Numbers 1 to 20 are displayed in almost all of these numbering systems, and the tens, hundreds, thousands and beyond are displayed where place value systems with zero are not used. These images are greatly enlarged so that those newly encountering them can appreciate and remember them more easily. Numbers are very important in almost every branch of learning. They are the basic essentials of trade and commerce as well as architecture, building and construction. Then there are the fields of mathematics and astronomy as well as almost every other branch of learning. The book begins with the numbering systems of the ancient Inca and Maya and then progresses to the numerals etched on oracle bones in China 3,400 years ago. The Chinese use of zero and negative numbers in rod numerals is also covered. Following this are the Babylonian cuneiform numbers and Egyptian hieroglyphic and hieratic numbers. Then the first European numbering system from Minoan Crete is followed by Phoenician, Attic and Etruscan numerals. Roman numerals and Ionian Greek alphabetic numerals are presented with an explanation of how they had their origin in the Phoenician alphabet. Then we move on to the partly Greek-derived numerals used by the Ethiopians who speak the Semitic Amharic language. The alphabetic Hebrew numerals of Greek inspiration are followed by the Arabic abjad numerals which assign numbers to the letters of the Arabic alphabet. Armenian and Georgian numbers are also displayed and then the Kharosthi numerals of Afghanistan and India. Emphasis is then placed on the Brahmi numerals of 4th century BC India which gave rise to all of the numbering systems of modern India and Southeast Asia as well as Tibet and Mongolia and even Europe. The Indian development of the concept of zero and a place value system is also covered in detail. Dozens of images are shown of numbers in the Devanagari, Gujarati, Punjabi, Bengali, Odiya, Telugu, Kannada, Tamil and Malayalam scripts. Then the stylistic but obsolete Sinhala numerals of Sri Lanka are followed by the Javanese, Burmese, Khmer, Thai and Lao numerals. Finally the Eastern Arabic numerals used in modern Arabic speaking countries appear with Persian variants. Next are the medieval European variants of Western Arabic numbers, including those from the Codex Vigilanus of the year 976 and numerals from 11th century France. The numerals of Bernelinus, a pupil of Pope Sylvester II, are followed by the 12th century numerals of Gerlandus of Besancon and the 13th century numerals of the English scholar Roger Bacon.




The History of Zero


Book Description

Looks at counting systems and the history of the number zero.




The Man of Numbers


Book Description

In 1202, a 32-year old Italian finished one of the most influential books of all time, which introduced modern arithmetic to Western Europe. Devised in India in the seventh and eighth centuries and brought to North Africa by Muslim traders, the Hindu-Arabic system helped transform the West into the dominant force in science, technology, and commerce, leaving behind Muslim cultures which had long known it but had failed to see its potential. The young Italian, Leonardo of Pisa (better known today as Fibonacci), had learned the Hindu number system when he traveled to North Africa with his father, a customs agent. The book he created was Liber abbaci, the 'Book of Calculation', and the revolution that followed its publication was enormous. Arithmetic made it possible for ordinary people to buy and sell goods, convert currencies, and keep accurate records of possessions more readily than ever before. Liber abbaci's publication led directly to large-scale international commerce and the scientific revolution of the Renaissance. Yet despite the ubiquity of his discoveries, Leonardo of Pisa remains an enigma. His name is best known today in association with an exercise in Liber abbaci whose solution gives rise to a sequence of numbers - the Fibonacci sequence - used by some to predict the rise and fall of financial markets, and evident in myriad biological structures. In The Man of Numbers, Keith Devlin recreates the life and enduring legacy of an overlooked genius, and in the process makes clear how central numbers and mathematics are to our daily lives.




The History of Number Systems: Place Value: Read-along ebook


Book Description

Learn the history of number systems with this engaging book! This text combines mathematics and literacy skills, and uses practical, real-world examples of problem solving to teach math and language arts content. Students will learn place value while reading about the number systems of the Egyptians and Romans, and also learn important vocabulary terms like cuneiform, binary systems, roman numerals, and more! The full-color images, math charts, and practice problems make learning math easy and fun. The table of contents, glossary, and index will further understanding of math and reading concepts. The Math Talk problems and Explore Math sidebars provide additional learning opportunities while developing students’ higher-order thinking skills.




The Number System


Book Description

This book explores arithmetic's underlying concepts and their logical development, in addition to a detailed, systematic construction of the number systems of rational, real, and complex numbers. 1956 edition.




The Numeral Systems of Nigerian Languages


Book Description

The papers in this collection present the numeral systems of more than twenty Nigerian languages. The papers mainly emanate from a workshop on the numeral systems of Nigerian languages organised by the Linguistic Association of Nigeria during its 23rd Annual Conference which was held at the University of Port Harcourt, Nigeria. The workshop arose from awareness created by Dr. Eugene S.L. Chan on the need for Nigerian linguists to document this severely endangered but very important aspect of natural languages. The quantum of mathematical computations - addition, multiplication, subtraction, or a combination of two or all of these - involved in the numeral systems of Nigerian languages is remarkable. The papers reveal that a variety of numeral systems do exist, such as: binary, decimal, incomplete decimal, duodecimal, quinary, quaternary, ternary, mixed, body-part tally systems, and much more. The book is a resource about how different languages manipulate their numeral systems.




The Real Number System


Book Description

Concise but thorough and systematic, this categorical discussion of the real number system presents a series of step-by-step axioms, each illustrated by examples. The highly accessible text is suitable for readers at varying levels of knowledge and experience: advanced high school students and college undergraduates as well as prospective high school and college instructors. The abundance of examples and the wealth of exercises—more than 300, all with answers provided—make this a particularly valuable book for self-study. The first two chapters examine fields and ordered fields, followed by an introduction to natural numbers and mathematical induction. Subsequent chapters explore composite and prime numbers, integers and rational numbers, congruences and finite fields, and polynomials and rational functions. Additional topics include intervals and absolute value, the axiom of completeness, roots and rational exponents, exponents and logarithms, and decimal expansions. A helpful Appendix concludes the text.




Educating for Global Competence


Book Description

Preparing students to participate fully in today's and tomorrow's world demands that we nurture their global competence, and this book shows teachers how to do just that. In a world rife with rapid change, environmental vulnerabilities, and racial inequities, this second edition of Educating for Global Competence poses an urgent question: What matters most for students to understand about our complex and interconnected world so they can participate fully in its future? Veronica Boix Mansilla and Anthony W. Jackson identify the key skills, values, and attitudes that K–12 students must cultivate to thrive in the 21st century. The book features a practical framework for global competence education. The framework's four dimensions focus on developing students’ capacity to * Examine local, global, and intercultural issues. * Understand and appreciate the perspectives and worldviews of others. * Engage in open, appropriate, and effective interactions across cultures. * Take action toward collective well-being and sustainable development. This edition includes many new authentic examples of integrating global competence into curriculum, instruction, and assessment across subject areas. Through these examples, we see the practical ways educators can prepare young people to see the complexities of the world and to develop the skills needed to explore and solve problems on a global scale. Educating for Global Competence shows teachers, administrators, and policymakers how they can leverage their influence to make teaching for global competence a compelling endeavor that yields world-changing results.