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Using History to Teach Mathematics: An International Perspective by Victor J. Katz
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history
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Mental Math: Tricks To Become A Human Calculator
Abhishek V.R. - 2017
Just read this till the end You don’t have to buy this book. Just read this till end & you will learn something that will change the way you do math forever. Warning: I am revealing this secret only to the first set of readers who will buy this book & plan to put this secret back inside the book once I have enough sales. So read this until the very end while you still can.School taught you the wrong way to do mathThe way you were taught to do math, uses a lot of working memory. Working memory is the short term memory used to complete a mental task. You struggle because trying to do mental math the way you were taught in school, overloads your working memory. Let me show you what I mean with an example:Try to multiply the 73201 x 3. To do this you multiply the following:1 x 3 =0 x 3 =2 x 3 =3 x 3 =7 x 3 =This wasn’t hard, & it might have taken you just seconds to multiply the individual numbers. However, to get the final answer, you need to remember every single digit you calculated to put them back together. It takes effort to get the answer because you spend time trying to recall the numbers you already calculated. Math would be easier to do in your head if you didn’t have to remember so many numbers. Imagine when you tried to multiply 73201 x 3, if you could have come up with the answer, in the time it took you to multiply the individual numbers. Wouldn’t you have solved the problem faster than the time it would have taken you to punch in the numbers inside a calculator? Do the opposite of what you were taught in schoolThe secret of doing mental math is to calculate from left to right instead of from right to left. This is the opposite of what you were taught in school. This works so well because it frees your working memory almost completely. It is called the LR Method where LR stands for Left to Right.Lets try to do the earlier example where we multiplied 73201 x 3. This time multiply from left to right, so we get:7 x 3 = 213 x 3 = 93 x 2 = 60 x 3 = 03 x 1 = 3Notice that you started to call out the answer before you even finished the whole multiplication problem. You don’t have to remember a thing to recall & use later. So you end up doing math a lot faster. The Smart ChoiceYou could use what you learnt & apply it to solve math in the future. This might not be easy, because we just scratched the surface. I've already done the work for you. Why try to reinvent the wheel, when there is already a proven & tested system you can immediately apply. This book was first available in video format & has helped 10,000+ students from 132 countries. It is available at ofpad.com/mathcourse to enroll. This book was written to reach students who consume the information in text format. You can use the simple techniques in this book to do math faster than a calculator effortlessly in your head, even if you have no aptitude for math to begin with.Imagine waking up tomorrow being able to do lightning fast math in your head. Your family & friends will look at you like you are some kind of a genius. Since calculations are done in your head, you will acquire better mental habits in the process. So you will not just look like a genius. You will actually be one. Limited Time BonusWeekly training delivered through email for $97 is available for free as a bonus at the end of this book for the first set of readers. Once we have enough readers, this bonus will be charged $97. Why Price Is So LowThis book is priced at a ridiculous discount only to get our first set of readers. When we have enough readers the price will go up.
The Mathematical Experience
Philip J. Davis - 1980
This is the classic introduction for the educated lay reader to the richly diverse world of mathematics: its history, philosophy, principles, and personalities.
History of Islam (3 Volumes)
Akbar Shah Khan Najeebabadi - 2000
At a time, when there is tough competition among the nations of the world to excel one another, the Muslim, despite having the most glorious history, appear to be detached and careless as regards their history. This book presents the true Islamic events and their actual causes before the English readers because the other books in the English language found on the Islamic history have been written by such authors and compilers who did no justice in presenting the true picture of Islamic Era but their prejudice prevented them from doing so. Publishers Note We are presenting before you the third volume of the book History of Islam. This book was originally written in the Urdu language in 1922 (1343 AH) by Akbar Shah Khan Najeebabadi. This was the time about 25 years before the partition of Indian Subcontinent into Pakistan and India. For the purpose of brevity, the compiler has presented the authentic events in concise form from the famous histories of Islam written in the Arabic and Persian languages by the great Muslim historians like Tabari, Ibn Athir, Mas'udi, Abul-Fida', Ibn Khaldun and Suyuti, apart from getting benefited from the authentic books of Ahadith for the compilation of the part about the biography of the Prophet Muhammad . So, this compilation is actually the extract of the works of the famous Muslim historians. In the first volume, starting with the introduction of the history as a subject, the country, people and conditions of Arabia prior to the advent of Islam were discussed, and an account of the life of Prophet Muhammad was presented including the hardships and opposition he faced while propagating the message of Islam, and the details of migration and the period after it until his death. After that the description of Rightly Guided Caliphate was also discussed in its full perspective. In this second volume, starting with the Caliphate of Banu Umayyah, the martyrdom of Imam Husain (R) and the Caliphate of the Abbasids, all areas have been covered as far as the expansion of Islam was. This third volume begins with the description of the conditions of Spain before and after the rule of Muslims and the role played by Umayyad, Abbasid, Almoravid and Almohad Caliphs there and their encounters with the Christian Armies. Then some mention of the conquest of Morocco and North Africa has been given along with the details of Idrisia and Aghlabs rule there. After that detailed accounts of Ganghisid Mongols, Turks and Tartar Mangols have been produced. After that Islamic history of Persia is described giving the accounts of Saffariah, Samanid, Delmid, Gharnavid, Seljuk, Ghourid and Muluk Dynasties with the periods of Khwarizm Shah, Atabeks and Sistan Kings rule there. Then the Islamic history of Egypt and Syria is covered describing the Ubaidullah, Ayyubid and Mamluk Dynasties, and the rule of Atabek and Abbasid Caliphs. In the end, something about the Ottoman Dynasty and its Empire is discussed including the description of the conquest of Constantinople. We hope that the readers will find this volume also of great help in the study of Islamic history. The famous scholar Safi-ur-Rahman Mubarakpuri has revised the Urdu edition before its translation to check the authenticity aspect. The translation was done by the Translation Department of Darussalam, and every care has been taken to reproduce the events and the names of the persons and places as accurately as possible. We thank all the persons who have cooperated with us to complete this task and produce it before you into a presentable form. May Allah accept our humble efforts in this regard and send His peace and blessings on our Prophet Muhammad, his Companions and his followers.-Amin! Abdul Malik Mujahid General Manager, Darussalam
The Making of Australia
David Hill - 2014
Told through the key figures who helped build it into the thriving nation it is today, David Hill once again offers up Australian history at its most entertaining and accessible. In his latest book, David Hill traces the story of our nation from its European beginnings to Federation. When James Cook landed on the east coast of Australia, the rest of the world had some idea of how empty, vast and wild this continent was, but so little was known of it that in 1788 most people thought it was two lands. In the subsequent years, its coastline was charted, its interior opened up, and its cities, laws and economy developed. In this riveting, wide-ranging history, David Hill traces how this happened through the key figures who built this country into the thriving nation it is today: from its prescient and fair-minded first governor, Arthur Phillip, to the unpopular William Bligh, the victim of the country's first and only military coup; from the visionary builder and law-maker Lachlan Macquarie to William Wentworth, the son of a convict who secured Australia's first elected parliament; from Henry Parkes, the grand old man of politics who started the fraught process of Federation, to the first prime minister, Edmund Barton. It was Barton who formed the first Australian government just in time for the inaugural celebrations on 1 January 1901, when the nation of Australia was born! David Hill is one of our most popular writers of Australian history. His previous books, The Forgotten Children, 1788, The Gold Rush and The Great Race have all been bestsellers.
Graph Theory With Applications To Engineering And Computer Science
Narsingh Deo - 2004
GRAPH THEORY WITH APPLICATIONS TO ENGINEERING AND COMPUTER SCIENCE-PHI-DEO, NARSINGH-1979-EDN-1
Italy: A History
Vincent Cronin - 2015
Here, from New York Times bestselling historian Vincent Cronin, is the extraordinary story of Italy - from the birth of the Roman Empire to the rise of the city-states through the Renaissance and the making of modern Italy.
Douglas Bader
Robert Jackson - 2015
His courage was remarkable, as was the way he defied his handicap. The film Reach for the Sky brought Bader’s life into cinemas, and Robert Jackson's classic biography was the first to document his life. After a lonely childhood Bader’s early reputation as a sportsman and a daredevil made him popular with his contemporaries. But he was also an irritation to his superiors, a pattern which continued throughout his life, and hid an academic ability which won him a scholarship to St Edward’s School and a cadetship at the elite RAF College in Cranwell. After his accident, Bader was determined to rejoin the RAF. As a pilot, he was an tactical innovator, a man who confronted the methods of other pilots. When he was a Prisoner of War, Bader’s antagonism toward his guards, and his political pronouncements in later life, sometimes provoked his colleagues, but never lost him their lasting respect and admiration. After retiring from the RAF he combined a full-time job with Shell with all the demands of being a celebrity; his inspiration to the disabled gained him many accolades and finally a knighthood.Both aggressive and charming, Bader’s outward personality was famous. Robert Jackson describes the evolution of that forceful character, and the motivation behind his remarkable achievements. ‘Its style and structure make it readily accessible and, like your favourite armchair, it is easy to relax into at the end of a busy day.’ Frank BurnsRobert Jackson has been a full-time author since 1969, specializing in aviation and military history. A retired member of the Royal Air Force Volunteer Reserve, he has flown a wide variety of aircraft, ranging from jets to gliders. A prolific author, he has written both fiction and non-fictionEndeavour Press is the UK's leading independent digital publisher. For more information on our titles please sign up to our newsletter at www.endeavourpress.com. Each week you will receive updates on free and discounted ebooks. Follow us on Twitter: @EndeavourPress and on Facebook via http://on.fb.me/1HweQV7. We are always interested in hearing from our readers. Endeavour Press believes that the future is now.
A Short Account of the History of Mathematics
W.W. Rouse Ball - 1900
From the early Greek influences to the Middle Ages and the Renaissance to the end of the 19th century, trace the fascinating foundation of mathematics as it developed through the ages. Aristotle, Galileo, Kepler, Newton: you know the names. Now here's what they really did, and the effect their discoveries had on our culture, all explained in a way the layperson can understand. Begin with the basis of arithmetic (Plato and the introduction of geometry), and discover why the use of Arabic numerals was critical to the development of both commerce and science. The development of calculus made space travel a reality, while the abacus prefigured the computer. The greats examined in depth include Leonardo da Vinci, a brilliant mathematician as well as artist; Pascal, who laid out the theory of probabilities; and Fermat, whose intriguing theory has only recently been solved.
The History of the Calculus and Its Conceptual Development
Carl B. Boyer - 1959
Early beginnings in antiquity, medieval contributions, and a century of anticipation lead up to a consideration of Newton and Leibniz, the period of indecison that followed them, and the final rigorous formulation that we know today.
The History of Mathematics: A Very Short Introduction
Jacqueline A. Stedall - 2012
Historian Jacqueline Stedall shows that mathematical ideas are far from being fixed, but are adapted and changed by their passage across periods and cultures. The book illuminates some of the varied contexts in which people have learned, used, and handed on mathematics, drawing on fascinating case studies from a range of times and places, including early imperial China, the medieval Islamic world, and nineteenth-century Britain. By drawing out some common threads, Stedall provides an introduction not only to the mathematics of the past but to the history of mathematics as a modern academic discipline.
Algebra
Israel M. Gelfand - 1992
This is a very old science and its gems have lost their charm for us through everyday use. We have tried in this book to refresh them for you. The main part of the book is made up of problems. The best way to deal with them is: Solve the problem by yourself - compare your solution with the solution in the book (if it exists) - go to the next problem. However, if you have difficulties solving a problem (and some of them are quite difficult), you may read the hint or start to read the solution. If there is no solution in the book for some problem, you may skip it (it is not heavily used in the sequel) and return to it later. The book is divided into sections devoted to different topics. Some of them are very short, others are rather long. Of course, you know arithmetic pretty well. However, we shall go through it once more, starting with easy things. 2 Exchange of terms in addition Let's add 3 and 5: 3+5=8. And now change the order: 5+3=8. We get the same result. Adding three apples to five apples is the same as adding five apples to three - apples do not disappear and we get eight of them in both cases. 3 Exchange of terms in multiplication Multiplication has a similar property. But let us first agree on notation.
Money Madness
David A. Adler - 2009
This beginning guide to economics will have readers thinking about the purpose, and not just the value, of money.
Mathematicians are People, Too: Stories from the Lives of Great Mathematicians (Volume Two)
Luetta Reimer - 1995
Volume Two dramatizes the lives of Omar Khayyam, Albert Einstein, Ada Lovelace, and others.Book Details:
Format: Paperback
Publication Date: 6/20/1995
Pages: 152
Reading Level: Age 8 and Up
Medieval Europe, 395-1270
Gabriel Monod - 1903
We have in particular given a large place to the rôle and to the history of the Church which dominates all this period, and which has been ordinarily so neglected in our schoolbooks, and have sought to make clear how France obtained in the thirteenth century a sort of political and intellectual hegemony in Europe. We hope those who read will understand what were the great ideas and directive tendencies which determined the historical evolution of the Middle Ages. We have always kept in mind in writing the conclusion to which we were advancing." - Charles Bémont & Gabriel MonodContents: The Roman Empire at the End of the Fourth Century. The Barbarians. The Germanic Invasions – The Vandals, The Visigoths, and the Huns (376-476). The Germanic Invasions – The Ostrogoths. The Germanic Invasions – The Barbarians in Gaul – Clovis. The Frankish Kingdom from 511 to 639. Institutions of Gaul after the Invasions. The Roman Empire of the East in the Sixth Century. The Last Invasions and the Papacy – The Lombards and Gregory the Great – The Anglo-Saxons and Monasticism. The Arabs – Mohammed. Arabian Empire – Conquests and Civilization. The Fainéant Kings – Foundation of the Carolingian Dynasty – Charlemagne. Empire of the Franks – Carolingian Customs and Institutions. The Carolingian Decadence, 814-888. The Last Carolingians – Invasions of the Saracens, Hungarians, and Norsemen – Origin of Feudalism. The Feudal System. Germany and Italy (888-1056). Emperor and Pope – Church Reform – Gregory VII. The Guelfs and Hohenstaufen – Alexander III. and Frederick I. Barbarossa. End of the Hohenstaufen – Victory of the Papacy over the Empire. The Christian and Mussulman Orient from the Seventh to the Eleventh Century. The Crusades. The Country Districts and Cities of France - Emancipation of Peasants and Bourgeois. French Royalty (987-1154). French Royalty (1154-1270). Institutions of Capetian Royalty. England from the Ninth to the Thirteenth Century. Continental Europe. The Roman Church in the Thirteenth Century. The Church and Heresies. Christian and Feudal Civilization – Instruction And Sciences – Literature And Arts – Worship. General Summary.