Once upon a time, in the imaginary land of numbers… Yes, numbers! I bet that would’ve never come to mind. Which brings me to the question: Who thought of them and why?
In 50 A.D., Heron of Alexandria studied the volume of an impossible part of a pyramid. He had to find √(81-114) which, back then, was insolvable. Heron soon gave up. For a very long time, negative radicals were simply deemed “impossible”. In the 1500’s, some speculation began to arise again over the square root of negative numbers. Formulas for solving 3rd and 4th degree polynomial equations were discovered and people realized that some work with square roots of negative numbers would occasionally be required. Naturally, they didn’t want to work with that, so they usually didn’t. Finally, in 1545, the first major work with imaginary numbers occurred.

In 1545, Girolamo Carding wrote a book titled Ars Magna. He solved the equation x(10-x)=40, finding the answer to be 5 plus or minus √-15. Although he found that this was the answer, he greatly disliked imaginary numbers. He said that work with them would be, “as subtle as it would be useless”, and referred to working with them as “mental torture.” For a while, most people agreed with him. Later, in 1637, Rene Descartes came up with the standard form for complex numbers, which is a+bi. However, he didn’t like complex numbers either. He assumed that if they were involved, you couldn’t solve the problem. Lastly, he came up with the term “imaginary”, although he meant it to be negative. Issac Newton agreed with Descartes, and Albert Girad even went as far as to call these, “solutions impossible”. Although these people didn’t enjoy the thought of imaginary numbers, they couldn’t stop other mathematicians from believing that i might exist. (The History of Complex Numbers)

Rafael Bombelli was a firm believer in imaginary numbers. However, since he couldn’t do anything with them people doubted him. He did understand that i times i should...

...History of imaginarynumbers
I is an imaginarynumber, it is also the only imaginarynumber. But it wasn’t just created it took a long time to convince mathematicians to accept the new number. Over time I was created. This also includes complex numbers, which are numbers that have both real and imaginarynumbers and people...

...topic of “Complex and ImaginaryNumbers” and its applications. I chose the topic “Complex and ImaginaryNumbers” because I am interested in mathematics that is hard to be pictured in your mind, unlike geometry or equations.
An imaginarynumber is the square root of a negative number. That is why they are called imaginary, what René Descartes called them, because he thought such a...

...
Abstract
A complex number is a number that can be written in the form of a+bi where a and b are real numbers and i is the value of the square root of negative one. In the form a + bi, a is considered the real part and the bi is considered the imaginary part. The goal of this project is show how the use of complex numbers originates in the history of mathematics.
Introduction
Complex...

...epigraphy, numismatics, monuments Literary sources: Indigenous: Primary and secondary; poetry, scientific literature, literature, literature in regional languages, religious literature. Foreign accounts: Greek, Chinese and Arab writers.
2. Pre-history and Proto-history: Geographical factors; hunting and gathering (paleolithic and mesolithic); Beginning of agriculture (neolithic and chalcolithic).
3. Indus Valley Civilization: Origin, date, extent,...

...wRGEARJGNEJRLK HREJKH ERN GREKGERgkwergwEGJ WJRE GWKJER GWKERGKWERJG KW EJRGKJEW GEWKJG WJKEW tgkjE WGWEwejk GREJkgerkah earh jkearherakjh earkjh earkjh eraljherajl heral jhreajl heraj lheralj heralj her jlheraljh earh erah teh eat haahearh erah eath eath eta heth urhgqaehg isodghsdouihgaeuhwrg rwlnslnsdlgnetlnlsnrlgneorignerg eth yrh yr wehfb ygrwugy wrghrGrigirGW BER GBR TB AD B ADB RTAH ART HBAED TH ATEH ERTA HET AH RTH AER G ERAG ERA GE RAG REA GYA ER TRE HG R gera ha terh aerh brt h...

...
Today one of the most cherished ideologies of America is the fact that everyone is and should be created equal. With this cherished ideology bringing a sense of pride and diversity to America we must keep in mind that this cherished ideology did not always exist. Since 1865 various individuals and groups have not been able to receive and express their rights to full equal status in the United States. These different individuals and groups have seemingly fought for their rights in...

...Name: Andiswa Mlambo
Student no:48090239
Unique number: 844868
Assignment : 04
Question 1
The reform of Alexander11 [1855-1881] were meaningless and left tsarist Russia unchanged ; do you agree? Give reasons for your answer.
I agree that the reform of Alexander11 [1855-1881] were meaningless and left tsarist Russia unchanged. The disastrous state of affairs left by Nicholas I meant that change had to come to Russia. His son, Alexander II was responsible for...

...How accurate is it to suggest that the treaty of Versailles was mainly responsible for the political and economic instability in Germany in the years 1919-1923?
Practice Essay
Samual Brown
How accurate is it to suggest that the Treaty of Versailles was mainly responsible for the political and economic instability in Germany 1919-23?The political effects of the Weimar republic were as follows, that the Versailles diktat was “a blow in the face” to Germany political and...

792 Words |
3 Pages

Share this Document

Let your classmates know about this document and more at StudyMode.com

{"hostname":"studymode.com","essaysImgCdnUrl":"\/\/images-study.netdna-ssl.com\/pi\/","useDefaultThumbs":true,"defaultThumbImgs":["\/\/stm-study.netdna-ssl.com\/stm\/images\/placeholders\/default_paper_1.png","\/\/stm-study.netdna-ssl.com\/stm\/images\/placeholders\/default_paper_2.png","\/\/stm-study.netdna-ssl.com\/stm\/images\/placeholders\/default_paper_3.png","\/\/stm-study.netdna-ssl.com\/stm\/images\/placeholders\/default_paper_4.png","\/\/stm-study.netdna-ssl.com\/stm\/images\/placeholders\/default_paper_5.png"],"thumb_default_size":"160x220","thumb_ac_size":"80x110","isPayOrJoin":false,"essayUpload":false,"site_id":1,"autoComplete":false,"isPremiumCountry":false,"userCountryCode":"US","logPixelPath":"\/\/www.smhpix.com\/pixel.gif","tracking_url":"\/\/www.smhpix.com\/pixel.gif","essay":{"essayId":34204879,"categoryName":"Fiction","categoryParentId":"17","currentPage":1,"format":"text","pageMeta":{"text":{"startPage":1,"endPage":2,"pageRange":"1-2","totalPages":2}},"access":"premium","title":"The History of Imaginary Numbers","additionalIds":[19,13,7,88],"additional":["Natural Sciences","Health \u0026 Medicine","Education","Education\/Academics"],"loadedPages":{"html":[],"text":[1,2]}},"user":null,"canonicalUrl":"http:\/\/www.studymode.com\/essays\/The-History-Of-Imaginary-Numbers-483480.html","pagesPerLoad":50,"userType":"member_guest","ct":10,"ndocs":"1,500,000","pdocs":"6,000","cc":"10_PERCENT_1MO_AND_6MO","signUpUrl":"https:\/\/www.studymode.com\/signup\/","joinUrl":"https:\/\/www.studymode.com\/join","payPlanUrl":"\/checkout\/pay\/100241","upgradeUrl":"\/checkout\/upgrade","freeTrialUrl":"https:\/\/www.studymode.com\/signup\/?redirectUrl=https%3A%2F%2Fwww.studymode.com%2Fcheckout%2Fpay%2Ffree-trial\u0026bypassPaymentPage=1","showModal":"get-access","showModalUrl":"https:\/\/www.studymode.com\/signup\/?redirectUrl=https%3A%2F%2Fwww.studymode.com%2Fjoin","joinFreeUrl":"\/essays\/?newuser=1","siteId":1,"facebook":{"clientId":"306058689489023","version":"v2.2","language":"en_US"},"analytics":{"googleId":"UA-32718321-1"}}

## Share this Document

Let your classmates know about this document and more at StudyMode.com