Rajeev Manocha's Book on Indian National Mathematics Olympiad: A Comprehensive Guide for Aspiring Olympians
If you are looking for a book that covers all the topics and problems of the Indian National Mathematics Olympiad (INMO), then you might want to check out Rajeev Manocha's book on this prestigious competition. Rajeev Manocha is a well-known author and coach for mathematics olympiads, and his book is one of the most popular and recommended resources for INMO preparation.
The book is divided into two parts, each containing six units that cover the main areas of mathematics olympiads: theory of numbers, theory of equations, inequalities, combinatorics, geometry, and functions. Each unit starts with a brief introduction to the concepts and techniques, followed by additional solved examples that illustrate the applications and methods. Then, there are several exercises for practice, with detailed solutions provided at the end of each unit. The book also includes the solved papers of the Regional Mathematics Olympiad (RMO) and INMO from 2016 to 2019, which give an insight into the level and style of the questions asked in these exams.
The book is available in PDF format online, and you can download it from various sources such as Scribd[^1^], Archive[^2^], or SoundCloud[^3^]. The PDF file has 658 pages, and the page number 297 corresponds to the beginning of the unit on inequalities in part 2 of the book. Inequalities are an important topic for mathematics olympiads, as they often appear in various forms and contexts. The unit on inequalities covers some basic properties and techniques, such as AM-GM inequality, Cauchy-Schwarz inequality, Jensen's inequality, Chebyshev's inequality, Muirhead's inequality, Schur's inequality, and more. It also provides some tips and tricks for solving inequalities, such as using substitutions, homogenization, rearrangement, induction, etc.
If you are interested in learning more about mathematics olympiads and improving your problem-solving skills, then Rajeev Manocha's book on INMO is a valuable resource that you should not miss. It will help you master the concepts and techniques required for tackling challenging and creative problems in mathematics.
One of the advantages of Rajeev Manocha's book on INMO is that it covers both the theoretical and practical aspects of mathematics olympiads. The book not only explains the concepts and techniques, but also shows how to apply them to various types of problems. The book also provides a lot of examples and exercises that help the readers to test their understanding and improve their skills. The book is suitable for both beginners and advanced students who want to prepare for mathematics olympiads.
Another benefit of Rajeev Manocha's book on INMO is that it is updated and relevant to the current syllabus and pattern of the INMO. The book includes the latest questions and solutions from the RMO and INMO exams, which reflect the changes and trends in the mathematics olympiad scene. The book also follows the guidelines and recommendations of the Homi Bhabha Centre for Science Education (HBCSE), which is the nodal centre for conducting the mathematics olympiads in India. The book is aligned with the objectives and standards of the HBCSE, which aim to promote excellence and creativity in mathematics among young students.
A final advantage of Rajeev Manocha's book on INMO is that it is accessible and affordable for anyone who wants to learn more about mathematics olympiads. The book is available in PDF format online, which means that anyone can download it and read it on their devices. The book is also free of cost, which makes it a great resource for students who cannot afford to buy expensive books or coaching materials. The book is a generous contribution from Rajeev Manocha, who wants to share his knowledge and experience with aspiring mathematicians. ec8f644aee