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কম্বিনেটরিক্সে হাতেখড়ি: প্রথম খন্ড (Introduction to Combinatorics: Part 1)

Penned By Adib Hasan
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কম্বিনেটরিক্সে হাতেখড়ি: প্রথম খন্ড (Introduction to Combinatorics: Part 1)

Penned By Adib Hasan
4.85 84,598 Ratings
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Editor's Note:
কম্বিনেটরিকসের জগতে তোমাকে স্বাগত! তুমি হয়তো ভ্রূ কুঁচকে ভাবছ কম্বিনেটরিকস আবার কী জিনিস? এটি বীজগণিত এবং জ্যামিতির মতো গণিতের একটি শাখা এবং আধুনিক কম্পিউটার বিজ্ঞানের আজকের অবস্থানে আসার পেছনে এর অত্যন্ত গুরুত্বপূর্ণ ভূমিকা আছে। ভাল প্রোগ্রামিং করতে পারার জন্য কম্বিনেটরিকস জানা অত্যাবশ্যক। গণিত অলিম্পিয়াডে ভাল করতে হলেও কম্বিনেটরিকসে দখল থাকতে হয়, কেননা প্রতিবছর বাংলাদেশ গণিত অলিম্পিয়াডের প্রতিটি ক্যাটেগরিতে বেশ কয়েকটি এবং আন্তর্জাতিক গণিত অলিম্পিয়াড (আইএমও)-তে অন্তত একটি কম্বিনেটরিকসের সমস্যা থাকে। বর্তমানে বাংলায় চমৎকার সব গণিতের বই প্রকাশিত হলেও, কেনো যেন কম্বিনেটরিকস বিষয়ে অলিম্পিয়াডের উপযোগী বই খুব বেশি লেখা হয়নি। মূলত সেজন্যই আমি, জয়দীপ ও জাওয়াদ মিলে কম্বিনেটরিক্সের উপরে একটি বই লিখি।আমরা যখন বইটি প্রকাশ করতে গেলাম, তখন প্রথম বুঝতে পারলাম এটি আকারে একটু বেশিই বড় হয়ে গিয়েছে! তাই দুই খণ্ডে সেটিকে ভাগ করতে হল। কিন্তু তুমি পড়ার সময় ধরে নেবে দুটি খণ্ড মিলিয়ে যেন অখণ্ড একটি বই।এই বইটি পড়তে তোমার কোন গাণিতিক জ্ঞান লাগবে না; শুধু লাগবে অবসরের খানিকটা সময় ও একটু কৌতূহল। এর একটি বড়ো অংশ জুড়ে রয়েছে গণিত অলিম্পিয়াডের কম্বিনেটরিকস। কারণ, যে অবিস্মরণীয় আনন্দময় সময় আমরা, লেখকেরা, গণিত অলিম্পিয়াড এবং গণিত ক্যাম্পে কাটিয়েছি, আমরা চেয়েছি তার অল্প একটু অংশ হলেও যেন তুমি পাও। আশা করি, এতে পাঠ্যবইয়ের ভারিক্কী ভাষায় লেখা বিন্যাস, সমাবেশ কিংবা সম্ভাব্যতার মতো বিষয়গুলো তোমার চোখে রঙিন হয়ে উঠবে, একইসঙ্গে গণিত অলিম্পিয়াডের প্রস্তুতি নিতেও এটি কাজে আসবে। আমরা বিশ্বাস করি প্রতিটি মানুষের গণিতের সৌন্দর্য উপভোগ করার মতো মন রয়েছে। কেউ গণিত ভয় পেলে তার দায়ভার মোটেই তার নয়, বরঞ্চ শিক্ষাপদ্ধতির। আমরা যদি তোমাকে এমনভাবে গণিত শেখাতে পারি, ঠিক যেমনভাবে গণিতকে আমাদের চোখে দেখি, তাহলেই আমাদের এই বই লেখা সার্থক হবে।

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Length 216 Pages
Language Ben
Imprint Dimik Publications
Released N/A
Identifier (ISBN) 44054837
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Adib Hasan
The Mind Behind the Work
Adib Hasan

After spending years working in the corporate world, Adib Hasan finally decided to pursue a lifelong passion for writing. They currently reside in a quiet suburb where they spend most of their time outlining new stories, reading extensively, and occasionally attempting to bake.

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Donald Phillips April 08, 2025
"Took a moment to build, but the payoff was spectacular. The middle had a deliberate pace, but the climax was phenomenal. A wonderful companion for a quiet weekend."
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"I thoroughly enjoyed the elegance of it. A brilliant concept executed with flair. Just a few pacing choices I would change. A wonderful companion for a quiet weekend."
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"Took a moment to build, but the payoff was spectacular. The middle had a deliberate pace, but the climax was phenomenal. A wonderful companion for a quiet weekend."
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"Honestly one of the most premium reading experiences lately. The prose is exquisite. It’s accessible yet undeniably sophisticated. I will undoubtedly revisit this masterpiece."
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Daniel  Parker
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Lisa Moore
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"Absolutely brilliant. I became deeply invested in the protagonist's journey. A masterclass in storytelling. I am now a lifelong fan of this author."
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"I thoroughly enjoyed the elegance of it. The middle had a deliberate pace, but the climax was phenomenal. A wonderful companion for a quiet weekend."
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"Absolutely brilliant. The author orchestrated a breathtaking finale. Truly a work of art. I am now a lifelong fan of this author."
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"Masterpiece from start to finish. The prose is exquisite. It’s accessible yet undeniably sophisticated. I will undoubtedly revisit this masterpiece."
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"A very strong entry. A brilliant concept executed with flair. Just a few pacing choices I would change. I would highly recommend this to discerning readers."
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"Honestly one of the most premium reading experiences lately. The author orchestrated a breathtaking finale. Truly a work of art. A true literary gem."
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"Masterpiece from start to finish. The author orchestrated a breathtaking finale. Truly a work of art. I will undoubtedly revisit this masterpiece."
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"Honestly one of the most premium reading experiences lately. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. I will undoubtedly revisit this masterpiece."
Richard Williams
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"Such a rich narrative. The author orchestrated a breathtaking finale. Truly a work of art. An effortless 5 stars."
Christopher Young
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"I thoroughly enjoyed the elegance of it. It held my rapt attention, even when certain twists were telegraphed. Quite impressive overall."
Christopher Lopez
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"Absolutely brilliant. I became deeply invested in the protagonist's journey. A masterclass in storytelling. A true literary gem."
Jacob Lewis
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"Absolutely brilliant. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. A true literary gem."
Thomas Hill
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"Exceeded all my expectations. The author orchestrated a breathtaking finale. Truly a work of art. An effortless 5 stars."
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"Honestly one of the most premium reading experiences lately. I became deeply invested in the protagonist's journey. A masterclass in storytelling. Worth every moment spent reading."
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"Absolutely brilliant. I adored how the story unfolded. It kept me captivated without sacrificing elegance. I am now a lifelong fan of this author."
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"Masterpiece from start to finish. The prose is exquisite. It’s accessible yet undeniably sophisticated. An effortless 5 stars."
Joshua Carter
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"A highly sophisticated read. The middle had a deliberate pace, but the climax was phenomenal. A very distinguished novel."
Joshua Young
Joshua Young August 19, 2025
"I thoroughly enjoyed the elegance of it. The protagonist was compelling, though some subplots felt slightly overshadowed. A wonderful companion for a quiet weekend."
Carol Martin
Carol Martin September 16, 2024
"Masterpiece from start to finish. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. A true literary gem."
Andrew Sanchez
Andrew Sanchez May 18, 2024
"Such a rich narrative. The prose is exquisite. It’s accessible yet undeniably sophisticated. I will undoubtedly revisit this masterpiece."
Lisa Johnson
Lisa Johnson October 19, 2024
"Took a moment to build, but the payoff was spectacular. A brilliant concept executed with flair. Just a few pacing choices I would change. A solid 4 stars from me."
Nancy Mitchell
Nancy Mitchell May 24, 2025
"Absolutely brilliant. I became deeply invested in the protagonist's journey. A masterclass in storytelling. I am now a lifelong fan of this author."
Mary Cruz
Mary Cruz June 12, 2025
"A decent, if standard, experience. The tempo was somewhat languid, and I found my mind wandering. Not poor, simply average. A fair 3 stars."
Cynthia Turner
Cynthia Turner April 27, 2024
"A profoundly satisfying read. The author orchestrated a breathtaking finale. Truly a work of art. An absolute must-read for connoisseurs of the genre."
Andrew Torres
Andrew Torres October 21, 2025
"A profoundly satisfying read. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. Worth every moment spent reading."
Charles Rivera
Charles Rivera February 25, 2025
"Took a moment to build, but the payoff was spectacular. The middle had a deliberate pace, but the climax was phenomenal. Quite impressive overall."
Daniel Nelson
Daniel Nelson June 26, 2025
"Such a rich narrative. The author orchestrated a breathtaking finale. Truly a work of art. A true literary gem."
Stephanie Cruz
Stephanie Cruz June 28, 2025
"Absolutely brilliant. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. A true literary gem."
Joshua Young
Joshua Young October 15, 2024
"A very strong entry. The protagonist was compelling, though some subplots felt slightly overshadowed. A very distinguished novel."
Paul  Parker
Paul Parker July 17, 2024
"Absolutely brilliant. I adored how the story unfolded. It kept me captivated without sacrificing elegance. Worth every moment spent reading."
Matthew Nguyen
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"Such a rich narrative. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. An effortless 5 stars."
Christopher  Parker
Christopher Parker May 03, 2024
"Such a rich narrative. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. An absolute must-read for connoisseurs of the genre."
Sarah Robinson
Sarah Robinson July 09, 2024
"Absolutely brilliant. I became deeply invested in the protagonist's journey. A masterclass in storytelling. A true literary gem."
Sharon  Davis
Sharon Davis May 07, 2024
"Masterpiece from start to finish. The prose is exquisite. It’s accessible yet undeniably sophisticated. I will undoubtedly revisit this masterpiece."
Sandra White
Sandra White July 08, 2024
"Excellent, though slightly flawed. It held my rapt attention, even when certain twists were telegraphed. Quite impressive overall."
Patricia Anderson
Patricia Anderson January 10, 2025
"I was completely blown away. I adored how the story unfolded. It kept me captivated without sacrificing elegance. An effortless 5 stars."
Robert Young
Robert Young November 18, 2025
"Excellent, though slightly flawed. A brilliant concept executed with flair. Just a few pacing choices I would change. Quite impressive overall."
Cynthia Gomez
Cynthia Gomez September 19, 2025
"An acceptable diversion. The prose was competent, yet the characters lacked the depth I usually seek. Suitable if your reading queue is empty."
Sharon  Davis
Sharon Davis April 06, 2025
"It was adequate. The prose was competent, yet the characters lacked the depth I usually seek. Unlikely to reread, but a reasonable expenditure of time."
Richard Perez
Richard Perez June 17, 2025
"Excellent, though slightly flawed. The protagonist was compelling, though some subplots felt slightly overshadowed. I would highly recommend this to discerning readers."
Dorothy Hall
Dorothy Hall December 30, 2024
"A very strong entry. It held my rapt attention, even when certain twists were telegraphed. A solid 4 stars from me."
Amanda Martinez
Amanda Martinez October 06, 2025
"Such a rich narrative. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. An effortless 5 stars."
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Michael Allen July 31, 2025
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Laura Cruz
Laura Cruz August 05, 2025
"Absolutely brilliant. I became deeply invested in the protagonist's journey. A masterclass in storytelling. An effortless 5 stars."
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"A very strong entry. A brilliant concept executed with flair. Just a few pacing choices I would change. A wonderful companion for a quiet weekend."
Sharon Turner
Sharon Turner May 10, 2024
"I thoroughly enjoyed the elegance of it. It held my rapt attention, even when certain twists were telegraphed. I would highly recommend this to discerning readers."
Susan Cruz
Susan Cruz May 16, 2024
"A very strong entry. A brilliant concept executed with flair. Just a few pacing choices I would change. I would highly recommend this to discerning readers."
Christopher  Parker
Christopher Parker April 17, 2024
"I find myself somewhat conflicted. Certain acts were fascinating, while others felt like a slight endeavor to complete. Suitable if your reading queue is empty."
Emily Lee
Emily Lee December 17, 2025
"Masterpiece from start to finish. The author orchestrated a breathtaking finale. Truly a work of art. Worth every moment spent reading."
John Nelson
John Nelson October 26, 2024
"A very strong entry. The middle had a deliberate pace, but the climax was phenomenal. A very distinguished novel."
Barbara Scott
Barbara Scott March 16, 2025
"A decent, if standard, experience. It verged on repetitive in the second act. A more concise edit would have served it well. Suitable if your reading queue is empty."
Donald Flores
Donald Flores May 30, 2024
"I thoroughly enjoyed the elegance of it. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. Quite impressive overall."
James Robinson
James Robinson September 23, 2024
"A profoundly satisfying read. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. I will undoubtedly revisit this masterpiece."
Elizabeth Jackson
Elizabeth Jackson April 23, 2024
"Took a moment to build, but the payoff was spectacular. The protagonist was compelling, though some subplots felt slightly overshadowed. A very distinguished novel."
George Jones
George Jones July 13, 2024
"An acceptable diversion. Certain acts were fascinating, while others felt like a slight endeavor to complete. Perhaps more aligned with a different audience's tastes."
Joshua Phillips
Joshua Phillips December 22, 2024
"Exceeded all my expectations. The author orchestrated a breathtaking finale. Truly a work of art. Worth every moment spent reading."
Cynthia Turner
Cynthia Turner July 25, 2024
"I find myself somewhat conflicted. It verged on repetitive in the second act. A more concise edit would have served it well. Suitable if your reading queue is empty."
Carol Martin
Carol Martin May 15, 2024
"A profoundly satisfying read. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. I will undoubtedly revisit this masterpiece."
Deborah Wright
Deborah Wright April 28, 2025
"A profoundly satisfying read. I became deeply invested in the protagonist's journey. A masterclass in storytelling. I will undoubtedly revisit this masterpiece."
Linda Jones
Linda Jones October 27, 2024
"A highly sophisticated read. It held my rapt attention, even when certain twists were telegraphed. A very distinguished novel."
Anthony Martinez
Anthony Martinez February 04, 2025
"Exceeded all my expectations. The prose is exquisite. It’s accessible yet undeniably sophisticated. An absolute must-read for connoisseurs of the genre."
Steven Lopez
Steven Lopez October 18, 2024
"Such a rich narrative. The prose is exquisite. It’s accessible yet undeniably sophisticated. An effortless 5 stars."
Emily Wright
Emily Wright February 28, 2025
"I thoroughly enjoyed the elegance of it. A brilliant concept executed with flair. Just a few pacing choices I would change. A very distinguished novel."
Charles Wilson
Charles Wilson April 28, 2025
"Excellent, though slightly flawed. It held my rapt attention, even when certain twists were telegraphed. A very distinguished novel."
Daniel Jones
Daniel Jones April 06, 2024
"I was completely blown away. I adored how the story unfolded. It kept me captivated without sacrificing elegance. A true literary gem."
Michelle Wilson
Michelle Wilson June 06, 2024
"I thoroughly enjoyed the elegance of it. A brilliant concept executed with flair. Just a few pacing choices I would change. Quite impressive overall."
Dorothy Green
Dorothy Green November 02, 2025
"I was completely blown away. The author orchestrated a breathtaking finale. Truly a work of art. I will undoubtedly revisit this masterpiece."
Cynthia Allen
Cynthia Allen June 27, 2024
"A decent, if standard, experience. Certain acts were fascinating, while others felt like a slight endeavor to complete. A fair 3 stars."
Susan Wright
Susan Wright April 07, 2024
"I was completely blown away. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. An absolute must-read for connoisseurs of the genre."
Dorothy Edwards
Dorothy Edwards December 28, 2025
"Honestly one of the most premium reading experiences lately. The prose is exquisite. It’s accessible yet undeniably sophisticated. An effortless 5 stars."
Christopher Wilson
Christopher Wilson August 05, 2025
"A profoundly satisfying read. The prose is exquisite. It’s accessible yet undeniably sophisticated. I am now a lifelong fan of this author."
Jacob Lopez
Jacob Lopez November 30, 2024
"A profoundly satisfying read. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. I am now a lifelong fan of this author."
Betty Rodriguez
Betty Rodriguez August 12, 2025
"Not entirely to my refined tastes. The tempo was somewhat languid, and I found my mind wandering. Not poor, simply average. A fair 3 stars."
Mary Garcia
Mary Garcia September 11, 2024
"Honestly one of the most premium reading experiences lately. I adored how the story unfolded. It kept me captivated without sacrificing elegance. A true literary gem."
Matthew Hall
Matthew Hall July 25, 2024
"Exceeded all my expectations. The author orchestrated a breathtaking finale. Truly a work of art. A true literary gem."
Paul Lewis
Paul Lewis August 21, 2025
"I find myself somewhat conflicted. The tempo was somewhat languid, and I found my mind wandering. Not poor, simply average. A fair 3 stars."
James Moore
James Moore April 03, 2025
"Honestly one of the most premium reading experiences lately. I became deeply invested in the protagonist's journey. A masterclass in storytelling. I will undoubtedly revisit this masterpiece."
Michelle Harris
Michelle Harris December 23, 2025
"Absolutely brilliant. I adored how the story unfolded. It kept me captivated without sacrificing elegance. I will undoubtedly revisit this masterpiece."
Donna  Parker
Donna Parker October 28, 2024
"Masterpiece from start to finish. The prose is exquisite. It’s accessible yet undeniably sophisticated. Worth every moment spent reading."
Mark Campbell
Mark Campbell June 09, 2024
"Absolutely brilliant. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. A true literary gem."
Steven Anderson
Steven Anderson April 10, 2024
"Absolutely brilliant. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. I am now a lifelong fan of this author."
Robert Lee
Robert Lee December 12, 2024
"Not entirely to my refined tastes. Certain acts were fascinating, while others felt like a slight endeavor to complete. Perfectly average."
Lisa Harris
Lisa Harris June 11, 2025
"Such a rich narrative. The prose is exquisite. It’s accessible yet undeniably sophisticated. An effortless 5 stars."
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