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Enter the Fascinating World of Mathematics! Enter the fascinating world of mathematics! 2015, Gonit Sora গণিত চ’ৰা । http://gonitsora.com This work is licensed under a Creative Commons Attribution- ShareAlike 4.0 International License. All images are either copyright of Gonit Sora or Shutterstock and cannot be used outside this e-book without permission. Dedication To our readers, well wishers, authors, translators, team members, people who have written about Gonit Sora in newspapers or magazines, collaborators, sponsors and those who inspire us every single day. Preface To whet our hunger for knowledge in our childhood as well as later, we realized that some information is not readily available. To make such kind of information available to our younger generation as well as others, we made a small effort in that direction by launching the online bilingual (English and Assamese) magazine, Gonit Sora on 21st April, 2011. To prepare articles related to some mathematical theory explaining it’s depth and beauty; to write about new research directions and present it in a way accessible to youngsters; to encourage students as well as others to appreciate the hard work of many mathematicians in creating the mathematics that is ubiquitous in the achievements of science and technology by publishing their interviews and biographies; to provide solutions and exercises for students participating in Mathematical Olympiads and other examinations; to provide career guidance for students in need, etc are the main aims of the website. In fields such as acting, sports, music, politics, etc there have been many different groups and people who actively bring forth the stellar performances in those fields. But in science and mathematics, only a small pool of individuals are aware of the latest developments and stay updated with these fields. It is our duty to give impetus to improving this gap in information distribution. With this wish in our mind, a team of two has transformed into a family of over dozen team members, excellent writers, collaborators and our esteemed readers. Amongst our many collaborators, World Scientific’s Asia Pacific Mathematics Newsletter, Mathematics of Planet Earth and Shutterstock.com are the primary ones providing us support in different ways. In the compilation of this e-book, we have used numerous illustrations from shutterstock.com. Till date, we have published over 550 articles in various categories on the website, and from those we have selected just 70 articles to include in this e-book. It is hoped that new readers will get an overview of our articles from this effort. We also hope that every reader will find something of interest in this e-book. At the end, we would like to humbly request our readers to send us any article about mathematics and/or science and technology that they may wish to publish in Gonit Sora. ব ৌদ্ধিক তৃ ষ্ণা পূৰণৰ অৰ্থে ককৰ্ াৰ তথা পৰৱতী সময়ত হু দ্ধ চাদ্ধৰও দ্ধিদ্ধিদ্ধি সমল আদ্ধম দ্ধিৰ্ে ওচৰৰ্ত বপাৱা িাদ্ধিৰ্লাোঁ বসইদ্ধিদ্ধি বতৰ্িদৰ্ৰ দ্ধ চাদ্ধৰ থকা আমাৰ অিুে তথা আি সকৰ্লাৰ্ৱ পা ৰ াৰ্ আমাৰ দ্ধিেৰ সামথেযৰ্ৰ সামািয ৰঙদ্ধণ আগ ৰ্ াৱাৰ উৰ্েৰ্ য গদ্ধণত চ’ৰা িামৰ দ্ধিভাষীক (ইংৰাজী আৰু অসমীয়া) অিলাইি আৰ্লাচিীিি ২০১১ চিৰ ২১ এদ্ধিলত মুকদ্ধল কৰা হয়। গদ্ধণতৰ ক ান া এন াটা বিষয়িস্তুৰ অন্তব িবিত তাবি ধাৰণা আৰু তাৰ কসৌন্দৰ্যিয সম্প ীয়কেখা প্ৰস্তুত ৰা; বিনেষণাত্ম া গনেষণাৰ তু বিশ সম্প ীয় তথ্য তথ্া সৰল িযাখযাত্ম কেখা প্ৰ াশ ৰা; বিজ্ঞা- প্ৰৰ্যুবিৰ বি ানশ সমাজলে অ া সুখ-স্বাচ্ছন্দয গবণতৰ বৰ্য তু আবেষ্কাৰৰ িানিই সম্ভে হিনে কসইসমূি অধযয় ৰ িানি অনিা-পুৰুষাথ্ি ৰা িযবিস েৰ সাক্ষাৎ াৰ িা জীে ীমূে কেখা প্ৰ াশৰ জবৰয়নত োত্ৰ-োত্ৰী তথ্া সিিসাধাৰণজ ৰ উনেনশয গবণত-বশক্ষাৰ 巁ৰুত্বৰ প্ৰসাৰ ঘনটাো; আদ্ধলদ্ধিয়াড আদ্ধদৰ সমসযাৰ অিু ীলিমূলক সমাধাি আগ ৰ্ াৱা; োত্ৰ-োত্ৰী ক বৰয়াৰ সংক্ৰান্তীয় পৰামশি প্ৰিা ৰা ইতযাবিনয়ই আনোচ ীখ ৰ প্ৰধা উনেশয। অবি য়, ক্ৰীডা, সংগীত, ৰাজ ীবত আবি সিনজই বচত্ত আনোড াৰী বিষয়সমূিৰপ্ৰচাৰ িা চচিাৰ িানি িহু সবক্ৰয় এন া এন াটা িৃিৎ কেণী গঢ় হে উঠাৰ বিপৰীনত বিজ্ঞা -বশক্ষা সংক্ৰান্তীয় প্ৰচাৰৰ ধাৰানটা আমাৰ কিশত কতন ই সীবমত কেণীনয়নি অক্ষু ণ্ণ ৰাখাৰ কচষ্টা বৰ আবিনে। এই ধাৰানটা প্ৰিে ৰাত অবৰিণা কৰ্যানগাোনটা আমাৰ স নোনৰ তিিয। আৰু এই বিশ্বাসনৰ অংশ বিচানপ, আবম িুগৰা ী সিসযনৰ আৰম্ভ ৰা আনোচ ীখ আবজ িহুজ সিসয, কেখ ,সহৰ্িাগী আৰু পাঠন নৰ এটা পবৰয়ােত পবৰণত হিনে। আমাৰ দ্ধ দ্ধভ সহৰ্িাগীসকলৰ দ্ধভতৰত World Scientific কয় প্ৰ াশ ৰা ‘Asia Pacific Mathematics Newsletter’, Mathematics of Planet Earth, Shutterstock.com আদ্ধদ িধাি। এই ই- ুকিিৰ অলংকৰণত Shutterstock.comবৰ হুৰ্কইিি িদ্ধ যৱহাৰ কৰা কহৰ্ি। গদ্ধণত চ’ৰাত িতিমা লেন বিবিন্ন বশতা ত মুঠ ৫৫০ৰ অবধ কেখা প্ৰ াশ হিনে, আৰু ইয়ানৰ ক ইটামা বশতা ৰ পৰা মানথ্াোঁ ৭০টা কেখানি এই ই- িু খ ত সবন্নবিষ্ট ৰা হিনে। ইয়াৰ জবৰয়নত তু পাঠন আনোচ ীখ ৰ াম- াজৰ সম্পন ি দ্ধকয়ত ধাৰণা পাি। আশা নৰাোঁ স নো পাঠন ই-িু খ ৰ পৰা ব েু সমে োি বৰি। ব ষত, পাঠকসকলৰ্ৰা সকৰ্লাৰ্ক গদ্ধণত িতু া দ্ধ জ্ঞাি-িিুদ্ধি সিকীয় দ্ধ দ্ধভ বলিা িস্তুত কদ্ধৰ লল আৰু বসইসমূহ িকা ৰ উৰ্েৰ্ য গদ্ধণত চ’ৰাললৰ্কা বিৰণ কদ্ধৰ লল দ্ধ িম্ৰ অিুৰ্ৰাধ েিাৰ্লাোঁ। Nov, 2015 Pankaj Jyoti Mahanta Manjil P. Saikia Co-Founders & Managing Editors, Gonitsora.com Email: [email protected] http://gonitsora.com http://as.gonitsora.com http://tech.gonitsora.com Contents Special___________________________________________________________2-6 The unreasonable ubiquity of Mathematics Prof. Sujatha Ramdorai Mathematics in the 'real' world Manjil P. Saikia Fiction_____________________________________________________________8-18 তৃ তীয় বিশ্বযুদ্ধ উপম শমমা প্ৰফেছৰ ভলভলীয়াৰ সংখ্যাৰ দ াকান ড° নয়ন ীপ দডকা িৰুৱা Interview_________________________________________________________20-97 Prof. Ken Ono Prof. Sujatha Ramdorai James Maynard: 2014 SASTRA Ramanujan Prize winner Prof. Swadhin Pattanayak Prof. Bruce C. Berndt Professor Sir Michael Berry D. Udaya Kumar ড° অনুপম শইকীয়া প্ৰফেচৰ জয়ন্ত বিষ্ণু নাবলমকাৰ আন্তজমাবতক গবিত অবলবিয়াডৰ ভাৰতীয় লৰ লপবতসকলৰ সসফত এ綿 সাক্ষাৎকাৰ গবিতৰ দমাৎজাৰ্ম : দৰ্ফৰন্স ৰ্াও Book Review__________________________________________________99-107 Birth of a Theorem Manjil P. Saikia Satan, Cantor and Infinity Dr. S. Parthasarathy The Steradian Trail Dhritishna Kalita The Immortal Life of Henrietta Lacks Manjil P. Saikia Feynman Manjil P. Saikia Movie Review________________________________________________109-110 The Imitation Game Manjil P. Saikia Career__________________________________________________________112-151 Mathematics as a Career Path Manjil P. Saikia Top Paying Mathematics Related Careers Tina Jindal Five Aspiring Career Options in India Gonit Sora 5 ways a Degree in Mathematics can Change your Life Tina Jindal Can Everyone Become A Mathematical Genius? Saurabh Tyagi (Associated with Naukri.com) Career opportunities in Physics after Class XII Chhavi Experiences at a PhD interview at IISc Bangalore Neeraj Singh Bhauryal Experiences in an interview at CMI Anjan Debnath Interview Experience at CMI (MSc in Applications of Mathematics) Neha Sangwan Observation____________________________________________________153-161 Some interesting paradoxes Dr. S. Parthasarathy স নবিন জীৱন যাত্ৰাত প্ৰাফয়াবগক গবিতৰ প্ৰভাৱ আৰু বিস্তৃবত পৰীবিতা কাকবত গবিতৰ যা ু আৰু দিজিৰুৱা ড° অঞ্জল িৰা Gallery________________________________________________________163-165 Numberland Bedanga Kakaty Gonit Sora (গবিত চ’ৰা) Nilotpal Kakati গবিতৰ ফৰ সৰল আৰু বনমমল এফকাফৱ হ’ি দনাৱাফৰ তৰা Cartoon________________________________________________________166-167 বতবনৰ্া গবিত-কাৰ্ুম ন সুমন্ত িৰুৱা Poem___________________________________________________________169-172 Pi Saurav Nayak An ode to Physics Chandamita কবিউৰ্াৰ 嗁শল ত্ত History________________________________________________________174-183 Music, Mathematics and Mozart Dr. Rajen Barua Pi Day: Once-in-a-century Celebration (2015) Mushahidul Ahmed জযাবমবতৰ বিকাশৰ ইবতহাস ড° প্ৰফিাধ িৰা Biography_____________________________________________________185-210 Kameshwar Das: The Lotus in the Muddy Pond Dr. Dilip Kumar Sharma. Translation: Tinam Borah A mathematical marvel: Manjul Bhargava Dr. Anupam Saikia Evariste Galois: The Man Who Never Lived Manjil P. Saikia আইজাক বনউৰ্ন ড° খ্নীন দচৌধুৰী “নীৰৱ িসন্ত”ৰ কথা দকাৱা বিজ্ঞানীগৰাকী মানসী দগাস্বামী সুব্ৰতানি ুৱৰা : এক বিৰল অসমীয়া গবিতজ্ঞৰ িৰি অনুৰাগ িৰুৱা ৰামানুজনৰ দকফৰ্াৰময় ক’লা বকলা嗁綿ফৰ্া পংকজ দজযাবত মহন্ত Problem________________________________________________________212-215 Simple concepts Tough problems Debashish Sharma Quiz____________________________________________________________217-226 Pi quiz Manjil P. Saikia Srinivasa Ramanujan Quiz Manjil P. Saikia Science Quiz - 1 Salik Miskat Borbora বিজ্ঞান 嗁ইজ - ১ চাবলক বমস্কৰ্ িৰিৰা Science Quiz - 2 Deep Jyoti Deka Sci-Tech______________________________________________________228-270 Basics of Non-Linear Dynamics Harman Kour Legend or Myth - Story of an Unsung Hero Debadeep Bagchi Informatics Olympiads Bishal Deb Amazing World of Science Fiction Arvind Mishra Five great ‘Unsolved’ problems in Theoretical Physics Madhurrya Talukdar Algorithm: Types and Classification Manohar Prabhu গাবিবতক জীৱবিজ্ঞান িা সজৱ-গবিত (Mathematical Biology or Bio-mathematics) ড° প্ৰফিাধ িৰা বনিমাচনী ভবৱষ্যদ্বািীৰ গবিত ৰাজীৱ এল. কাৰাবিকা। অনুিা : শ্বভমািু নাথ দডকা িতৰৰ আগবল-িতৰা সিিূ ম স膿ক দনাফহাৱাৰ বকছু কাৰি আৰু দহাৱাৰ সম্ভাৱনা পংকজ দজযাবত মহন্ত। Courses and Institutes____________________________________________272 Mathematical Societies in India________________________________273 Mathematical Societies in Asia Pacific Region________274-275 Quotes__________________________________________________________276-278 1 http://gonitsora.com 2 The unreasonable ubiquity of Mathematics Prof.
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