{"product_id":"but-what-is-i-exactly-demystifying-complex-numbers-exponential-functions-and-more-paperback","title":"But What is i, Exactly?: Demystifying complex numbers, exponential functions and more - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eAlexander Farrugia\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003ci\u003e\"I consider the author to be an all-round contributor to the field of mathematics, and this book is one of many testaments to this.\"\u003c\/i\u003e - Peter Borg, mathematics professor at the University of Malta. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003eDr Alexander Farrugia first started answering questions related to mathematics on Quora in the latter half of the twenty-tens, earning him the Quora Top Writer status in 2017 and 2018. He has selected some of his writings, comprising more than 3000 answers, and incorporated them into this book. \u003cp\u003e\u003c\/p\u003e\u003ci\u003eBut What is i, Exactly?\u003c\/i\u003e tackles the questions that are not dealt with in the high school mathematics curriculum in a simple and approachable, yet detailed and precise manner. Such questions include: \u003cul\u003e\n\u003cli\u003eWhat are \u003ci\u003ecomplex numbers\u003c\/i\u003e? Why did people, at some point in history, decide to provide solutions for quadratics which previously did not have any? And what is i, exactly?\u003c\/li\u003e\n\u003cli\u003eWhat is the \u003ci\u003eexponential function\u003c\/i\u003e? Why is it the number e raised to the power of x? Why e, and not some other number?\u003c\/li\u003e\n\u003cli\u003eWhat is e to the power of ix? How does pi emerge from this function? How do we know that pi is an irrational number? Why do we use radians?\u003c\/li\u003e\n\u003cli\u003eWhat does x to the power of y mean when y is an irrational number, like the square root of 2? What about when it is a complex number? And what is 0 to the power of 0?\u003c\/li\u003e\n\u003cli\u003eWhy is the cube root of -1 equal to -1 on some calculators, yet on more sophisticated calculators, it is equal to some weird complex number?\u003c\/li\u003e\n\u003c\/ul\u003eThis book is ideal for students who are currently pursuing, or intend to pursue, a mathematics undergraduate course, giving them a sound understanding of what they have learnt in their high school mathematics. It is also a great reference book for mathematics educators teaching at high school or early undergraduate level to supplement their teaching with material that their curriculum overlooks.\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 130\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.28 x 9 x 6 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e October 22, 2024\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":47224627101945,"sku":"9789918009565","price":18.88,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0789\/2782\/3097\/files\/hGCRUQ8ULm9789918009565.webp?v=1768237936","url":"https:\/\/bookscloud.io\/products\/but-what-is-i-exactly-demystifying-complex-numbers-exponential-functions-and-more-paperback","provider":"BooksCloud Book Dropshipping","version":"1.0","type":"link"}