“Forever Bound - The Power of Friendship to Transform Your Life” is a heartwarming and inspiring coming-of-age story that explores the power of friendship to transform our lives. Author Anurag Kumar shares his journey from a bright-eyed fresher to a confident graduate, with his friends by his side. He recounts the challenges and triumphs of student life, from academic rigour to the humours of hostel life, and the inspiring stories of his teachers and mentors. He also shares the lessons he learned from his experiences, which have shaped him into the person he is today. Anurag’s story is a reminder that our college years are a time of great personal growth and transformation. It is a time when we learn to become independent, develop our own identities, and make lifelong friends. It is also a time when we learn the importance of hard work, perseverance, and resilience. “Forever Bound” is a must-read for anyone who has ever valued the importance of friendship or who is looking for inspiration to achieve their dreams. It is a heartwarming and inspiring story that will stay with you long after you finish reading it.
This book is aimed to provide an introduction to local cohomology which takes cognizance of the breadth of its interactions with other areas of mathematics. It covers topics such as the number of defining equations of algebraic sets, connectedness properties of algebraic sets, connections to sheaf cohomology and to de Rham cohomology, Gröbner bases in the commutative setting as well as for $D$-modules, the Frobenius morphism and characteristic $p$ methods, finiteness properties of local cohomology modules, semigroup rings and polyhedral geometry, and hypergeometric systems arising from semigroups. The book begins with basic notions in geometry, sheaf theory, and homological algebra leading to the definition and basic properties of local cohomology. Then it develops the theory in a number of different directions, and draws connections with topology, geometry, combinatorics, and algorithmic aspects of the subject.
Bhumihars are a prominent ‘Ayachak’ brahmin community of East India. Ayachak brahmins gave up priestly duties and took up agriculture for subsistence and bore arms to protect the motherland. Ayachaks have coexisted alongside the traditional priestly Yachak class, within the Brahminical fold across India since time immemorial. Bhumihar brahmin community, though small, has a rich history of both valour and scholarship. Even as the Greeks, led by Alexander the Great, were ravaging the north-western flanks of India, a Chanakya was plotting a quiet pushback. When the successors of King Ashoka, smitten by the non-violent ways of Buddhism, were dilly dallying against the imminent threat of a Greek resurgence, a Pushyamitra Shunga rose to shake the warriors out of their stupor of non-violence and pushed back the Greeks beyond the borders of Bharat forever. When forced to use a rifle cartridge laden with beef starch, against their Hindu beliefs, a Mangal Pandey became the first one to rise in protest and soon a nation followed. The indomitable spirit of the community has inspired and dazzled with their scholarship as well. Ramdhari Singh Dinkar’s pen, drenched in the patriotic fervour of ‘Veer Rasa’, inspired many mutinies against the British. From the venerable Shri Babu, the first chief minister of Bihar in independent India, to Raj Narain, the giant killer who defeated Indira Gandhi, the community has shone in the field of politics and leadership. The community has not shied away from raising its voice against injustice and led reform movements like abolition of Zamindari and the temple entry movement. They may have lost their traditional tools of subsistence, but they still carry the twin endowments of bravery and intellect in their genes. Bhumihar ‘Ayachak’ brahmins are truly the brahmins who refused to beg.
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