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A Path to Combinatorics for Undergraduates: Counting Strategies

A Path to Combinatorics for Undergraduates: Counting Strategies

Penned By Titu Andreescu
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A Path to Combinatorics for Undergraduates: Counting Strategies

A Path to Combinatorics for Undergraduates: Counting Strategies

Penned By Titu Andreescu
4.85 86,380 Ratings
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Editor's Note:
This unique approach to combinatorics is centered around challenging examples, fully-worked solutions, and hundreds of problems---many from Olympiads and other competitions, and many original to the authors. Each chapter highlights a particular aspect of the subject and casts combinatorial concepts in the guise of questions, illustrations, and exercises that are designed to encourage creativity, improve problem-solving techniques, and widen the reader's mathematical horizons.Topics encompass permutations and combinations, binomial coefficients and their applications, recursion, bijections, inclusions and exclusions, and generating functions. The work is replete with a broad range of useful methods and results, such as Sperner's Theorem, Catalan paths, integer partitions and Young's diagrams, and Lucas' and Kummer's Theorems on divisibility. Strong emphasis is placed on connections between combinatorial and graph-theoretic reasoning and on links between algebra and geometry.The authors' previous text, 102 Combinatorial Problems, makes a fine companion volume to the present work, which is ideal for Olympiad participants and coaches, advanced high school students, undergraduates, and

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Released November 11, 2003
Identifier (ISBN) 377850
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Titu Andreescu
The Mind Behind the Work
Titu Andreescu

Titu Andreescu writes contemporary fiction and has always been fascinated by character-driven stories. They hold a degree in English Literature and previously worked as an editor before transitioning to writing their own books. Titu Andreescu lives with their spouse and a very vocal rescue cat.

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"Honestly one of the most premium reading experiences lately. The author orchestrated a breathtaking finale. Truly a work of art. An effortless 5 stars."
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"Exceeded all my expectations. I adored how the story unfolded. It kept me captivated without sacrificing elegance. An effortless 5 stars."
Nancy Young
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"A profoundly satisfying read. The author orchestrated a breathtaking finale. Truly a work of art. An absolute must-read for connoisseurs of the genre."
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"A very strong entry. A brilliant concept executed with flair. Just a few pacing choices I would change. Quite impressive overall."
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"I thoroughly enjoyed the elegance of it. The middle had a deliberate pace, but the climax was phenomenal. A very distinguished novel."
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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 very distinguished novel."
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"A highly sophisticated read. The protagonist was compelling, though some subplots felt slightly overshadowed. A very distinguished novel."
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"I was completely blown away. The prose is exquisite. It’s accessible yet undeniably sophisticated. A true literary gem."
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"Absolutely brilliant. The author orchestrated a breathtaking finale. Truly a work of art. Worth every moment spent reading."
Barbara Allen
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"Such a rich narrative. The prose is exquisite. It’s accessible yet undeniably sophisticated. Worth every moment spent reading."
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"Such a rich narrative. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. Worth every moment spent reading."
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"An acceptable diversion. It verged on repetitive in the second act. A more concise edit would have served it well. Suitable if your reading queue is empty."
Elizabeth Gonzalez
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"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."
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"Honestly one of the most premium reading experiences lately. 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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"Exceeded all my expectations. The author orchestrated a breathtaking finale. Truly a work of art. I will undoubtedly revisit this masterpiece."
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"Exceeded all my expectations. The author orchestrated a breathtaking finale. Truly a work of art. I will undoubtedly revisit this masterpiece."
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