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Why 1729 number is so special?

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

National Mathematics Day (22 December)

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

Objective RD Sharma for IIT JEE

About the Book: R.D Sharma is very famous among IIT-JEE aspirants.Every student refers it for 10+2 level exams like: · IIT-JEE · AIEEE · Medical · Olympiad and other exams Expert Review: Lines of Appreciations (Why should I buy this book?) This book is the one of the best books in Mathematics for beginners. It includes the exercises covering the entire syllabus of Mathematics pertaining to IIT JEE, AIEEE and other state level engineering examination preparation. Although all the topics are covered very well but the topics of Algebra have an edge over others. Permutations and Combinations, Probability, Quadratic equations and Determinants are worth mentioning. It's a one stop book for beginners. It includes illustrative solved examples which help in explaining the concepts better. Room for improvements (Why should I keep away from this book?) Though the book has a good collection of problems but it cannot be said to be s

Thomas' Calculus: by Jr. George B. Thomas

Thomas' Calculus, Fourteenth Edition, introduces students to the intrinsic beauty of calculus and the power of its applications. For more than half a century, this text has been revered for its clear and precise explanations, thoughtfully chosen examples, superior figures and time-tested exercise sets. Features Strong exercise sets feature a great breadth of problems progressing from skills problems to applied and theoretical problems—to encourage students to think about and practice the concepts until they achieve mastery. Complete and precise multivariable coverage enhances the connections of multivariable ideas with their single-variable analogues studied earlier in the book. New to this edition Updated graphics emphasize clear visualization and mathematical correctness. New examples and figures have been added throughout all chapters, based on user feedback. New types of homework exercises, including many geometric in nature, have been added to provide different pe

Higher Engineering Mathematics by B.S. Grewal

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

Foundations of Applied Mathematics by Michael Greenberg

This classic text in applied mathematics, suitable for undergraduate- and graduate-level engineering courses, is also an excellent reference for professionals and students of applied mathematics. The precise and reader-friendly approach offers single-volume coverage of a substantial number of topics along with well-designed problems and examples.  The five-part treatment begins with an exploration of real variable theory that includes limit processes, infinite series, singular integrals, Fourier series, and vector field theory. Succeeding sections examine complex variables, linear analysis, and ordinary and partial differential equations. Answers to selected exercises appear in the appendix, along with Fourier and Laplace transformation tables and useful formulas. Buy: Foundations of Applied Mathematics Paperback – 20 Nov 2013 by Michael Greenberg (Author) PDF Download: https://drive.google.com/file/d/0B8Nl3U5dzHu0R2kyZ1pYQktXTlU/view?usp=sharing

Advanced Engineering Mathematics by H.K. Dass

"Advanced Engineering Mathematics” is written for the students of all engineering disciplines. Topics such as Partial Differentiation, Differential Equations, Complex Numbers, Statistics, Probability, Fuzzy Sets and Linear Programming which are an important part of all major universities have been well-explained. Filled with examples and in-text exercises, the book successfully helps the student to practice and retain the understanding of otherwise difficult concepts. Key Features: • Two New Chapters -Transformation and Taylor’s and Laurent’s Series have been included • Every topic relating to the subject has been provided with ample coverage. • Close to 1400 solved examples (including previous year questions of different universities) on various topics have been incorporated for the better understanding and to make familiar with the standard and trend of questions set in the examinations. • More than 260 exercise sets and book-end solved question papers provide apt practice

Advanced Engineering Mathematics, by Erwin Kreyszig

The tenth edition of this bestselling text includes examples in more detail and more applied exercises; both changes are aimed at making the material more relevant and accessible to readers.  Kreyszig introduces engineers and computer scientists to advanced math topics as they relate to practical problems. It goes into the following topics at great depth differential equations, partial differential equations, Fourier analysis, vector analysis, complex analysis and linear algebra / differential equations. Buy:  Advanced Engineering Mathematics, 10ed, ISV Paperback – 2015 by Erwin Kreyszig (Author) PDF Download: https://drive.google.com/file/d/0B8Nl3U5dzHu0X185TzZvRzlRdzg/view?usp=sharing

Practice Book Mathematics for JEE Main and Advanced by S K Goyal

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)

3D- Plane

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Three-Dimensional Coordinate System(3D)

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Probability Formulas

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