5.1 Introduction 97

5.2 Complex Numbers 97

5.3 Algebra of Complex Numbers 98

5.4 The Modulus and the Conjugate of a Complex Number 102

5.5 Argand Plane and Polar Representation 104

5.6 Quadratic Equations 108

Free Formulae and concepts about mathematics

5.1 Introduction 97

5.2 Complex Numbers 97

5.3 Algebra of Complex Numbers 98

5.4 The Modulus and the Conjugate of a Complex Number 102

5.5 Argand Plane and Polar Representation 104

5.6 Quadratic Equations 108

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Product details Reading level: 16+ years Paperback: 1238 pages Publisher: Khanna Publishers; Forty Fourth edition (1965) Language: English ISBN-10: 9788193328491 ISBN-13: 978-8193328491 ASIN: 8193328493 Package Dimensions: 27.8 x 21.6 x 5.2 cm Buy: Higher Engineering Mathematics Paperback – 1965 by B.S. Grewal (Author) Pdf Download: https://drive.google.com/file/d/0B8Nl3U5dzHu0X3gxbzdXcEk4Qk0/view?usp=sharing

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1729 is the natural number following 1728 and preceding 1730. It is known as the Hardy-Ramanujan number, after an anecdote of the British mathematician G. H. Hardy when he visited Indian mathematician Srinivasa Ramanujan in hospital. He related their conversation: I remember once going to see him when he was ill at Putney. I had ridden in taxi cab number 1729 and remarked that the number seemed to me rather a dull one, and that I hoped it was not an unfavourable omen. "No," he replied, "it is a very interesting number; it is the smallest number expressible as the sum of two cubes in two different ways." The two different ways are:1729 = 13 + 123 = 93 + 103 The quotation is sometimes expressed using the term "positive cubes", since allowing negative perfect cubes (the cube of a negative integer) gives the smallest solution as 91 (which is a divisor of 1729):91 = 63 + (−5)3 = 43 + 33 Numbers that are the smallest number that can be expressed as

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In 2012, the Indian government declared 22 December to be National Mathematics Day. This was announced by Prime Minister Manmohan Singh on 26 February 2012 at Madras University, during the inaugural ceremony of the celebrations to mark the 125th anniversary of the birth of the Indian mathematical genius Srinivasan Ramanujan (22 Dec 1887- 26 Apr 1920). On this occasion Singh also announced that 2012 would be celebrated as the National Mathematics Year. Since then, India's National Mathematics Day is celebrated every 22 December with numerous educational events held at schools and universities throughout the country. In 2017, the day's significance was enhanced by the opening of the Ramanujan Math Park in Kuppam, in Chittoor, Andhra Pradesh. Srinivasa Ramanujan ( 22 December 1887 – 26 April 1920) was an Indian mathematician who lived during the British Rule in India. Though he had almost no formal training in pure mathematics, he made substantial contri

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Cracking JEE Main and Advanced requires systematic practice to develop quick approach for envisioning solutions of the questions faced in the exam. The Most appreciated JEE Problems book for the last 12 years New Pattern JEE for Mathematics by renowned, Mr SK Goyal, will help you acquire Comprehension and Analytical ability. Practice more than 8000 Quality Objective Questions of all types, with step by step solutions in an innovative, orderly derived manner in all formats. The book has been divided in 32 chapters, to cover the entire JEE syllabus sections widely covers all types of objective questions. Buy: Practice Book Mathematics for JEE Main and Advanced Paperback – 2018 by S K Goyal (Author)

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