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Matemática Concreta: Fundamentos Para A Ciência Da Computação

Concrete Mathematics: A Foundation for Computer Science

Penned By Ronald L. Graham
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Matemática Concreta: Fundamentos Para A Ciência Da Computação

Concrete Mathematics: A Foundation for Computer Science

Penned By Ronald L. Graham
4.85 75,803 Ratings
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Editor's Note:
Concrete Mathematics is a blending of CONtinuous and disCRETE mathematics. "More concretely," the authors explain, "it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems."

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Length N/A Pages
Released 1988
Identifier (ISBN) 732443
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Ronald L. Graham
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Ronald L. Graham

Ronald L. Graham is the author of several novels. Originally from the East Coast, they now live in the Midwest with family. In addition to writing, Ronald L. Graham enjoys gardening, cooking, and reading way past bedtime. Their work often explores the complexities of everyday life and human relationships.

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Laura Reyes
Laura Reyes August 11, 2024
"Masterpiece from start to finish. I adored how the story unfolded. It kept me captivated without sacrificing elegance. An effortless 5 stars."
Gary Hill
Gary Hill October 12, 2025
"A highly sophisticated read. It held my rapt attention, even when certain twists were telegraphed. A solid 4 stars from me."
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Robert Turner
Robert Turner August 24, 2025
"A profoundly satisfying read. I adored how the story unfolded. It kept me captivated without sacrificing elegance. An effortless 5 stars."
Thomas Young
Thomas Young June 24, 2024
"Masterpiece from start to finish. I adored how the story unfolded. It kept me captivated without sacrificing elegance. An absolute must-read for connoisseurs of the genre."
Mark Campbell
Mark Campbell February 27, 2025
"A highly sophisticated read. A brilliant concept executed with flair. Just a few pacing choices I would change. A solid 4 stars from me."
Michael Diaz
Michael Diaz March 06, 2025
"Exceeded all my expectations. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. I will undoubtedly revisit this masterpiece."
Cynthia Wright
Cynthia Wright September 08, 2025
"A profoundly satisfying read. The author orchestrated a breathtaking finale. Truly a work of art. A true literary gem."
Sandra Taylor
Sandra Taylor February 21, 2024
"Masterpiece from start to finish. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. I am now a lifelong fan of this author."
Brian Lewis
Brian Lewis November 11, 2025
"A highly sophisticated read. A brilliant concept executed with flair. Just a few pacing choices I would change. Quite impressive overall."
Eric Williams
Eric Williams April 20, 2024
"I thoroughly enjoyed the elegance of it. The middle had a deliberate pace, but the climax was phenomenal. Quite impressive overall."
Linda Thomas
Linda Thomas July 09, 2024
"Honestly one of the most premium reading experiences lately. The author orchestrated a breathtaking finale. Truly a work of art. Worth every moment spent reading."
Ashley  Parker
Ashley Parker November 27, 2024
"Excellent, though slightly flawed. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. Quite impressive overall."
Patricia Nelson
Patricia Nelson October 20, 2024
"A very strong entry. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. A solid 4 stars from me."
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"Masterpiece from start to finish. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. Worth every moment spent reading."
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"Absolutely brilliant. I adored how the story unfolded. It kept me captivated without sacrificing elegance. A true literary gem."
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"I was completely blown away. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. An effortless 5 stars."
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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 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."
Kimberly Hernandez
Kimberly Hernandez April 11, 2024
"Absolutely brilliant. The author orchestrated a breathtaking finale. Truly a work of art. I will undoubtedly revisit this masterpiece."
Ryan Phillips
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"Excellent, though slightly flawed. The middle had a deliberate pace, but the climax was phenomenal. Quite impressive overall."
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"Honestly one of the most premium reading experiences lately. The prose is exquisite. It’s accessible yet undeniably sophisticated. Worth every moment spent reading."
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"I find myself somewhat conflicted. It possessed moments of brilliance, but the narrative felt slightly disjointed ultimately. Perhaps more aligned with a different audience's tastes."
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"A very strong entry. The middle had a deliberate pace, but the climax was phenomenal. A very distinguished novel."
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"Masterpiece from start to finish. 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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"A very strong entry. The middle had a deliberate pace, but the climax was phenomenal. 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. I would highly recommend this to discerning readers."
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"Absolutely brilliant. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. An effortless 5 stars."
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"Absolutely brilliant. The author orchestrated a breathtaking finale. Truly a work of art. An absolute must-read for connoisseurs of the genre."
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"Honestly one of the most premium reading experiences lately. The author orchestrated a breathtaking finale. Truly a work of art. Worth every moment spent reading."
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Patricia Wright May 11, 2024
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Nicholas Thomas
Nicholas Thomas July 18, 2025
"I thoroughly enjoyed the elegance of it. The protagonist was compelling, though some subplots felt slightly overshadowed. Quite impressive overall."
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"Such a rich narrative. I adored how the story unfolded. It kept me captivated without sacrificing elegance. An absolute must-read for connoisseurs of the genre."
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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. I will undoubtedly revisit this masterpiece."
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Rebecca Campbell
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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 was completely blown away. The author orchestrated a breathtaking finale. Truly a work of art. An absolute must-read for connoisseurs of the genre."
William Miller
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James Rodriguez
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"Excellent, though slightly flawed. The middle had a deliberate pace, but the climax was phenomenal. A wonderful companion for a quiet weekend."
David Hill
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"A profoundly satisfying read. The author orchestrated a breathtaking finale. Truly a work of art. A true literary gem."
Thomas Scott
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Donna  Parker
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"Exceeded all my expectations. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. A true literary gem."
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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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"A very strong entry. The protagonist was compelling, though some subplots felt slightly overshadowed. A wonderful companion for a quiet weekend."
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William Mitchell
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"A profoundly satisfying read. I adored how the story unfolded. It kept me captivated without sacrificing elegance. I will undoubtedly revisit this masterpiece."
David Smith
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"Excellent, though slightly flawed. The middle had a deliberate pace, but the climax was phenomenal. A wonderful companion for a quiet weekend."
Stephanie Collins
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"Exceeded all my expectations. I became deeply invested in the protagonist's journey. A masterclass in storytelling. I will undoubtedly revisit this masterpiece."
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"Excellent, though slightly flawed. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. A very distinguished novel."
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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. A true literary gem."
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"I was completely blown away. The prose is exquisite. It’s accessible yet undeniably sophisticated. I am now a lifelong fan of this author."
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"Masterpiece from start to finish. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. A true literary gem."
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"I thoroughly enjoyed the elegance of it. The protagonist was compelling, though some subplots felt slightly overshadowed. A very distinguished novel."
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"Excellent, though slightly flawed. The middle had a deliberate pace, but the climax was phenomenal. Quite impressive overall."
Sandra Harris
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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."
Dorothy Hall
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"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."
Sharon White
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"Honestly one of the most premium reading experiences lately. The author orchestrated a breathtaking finale. Truly a work of art. 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."
Laura Evans
Laura Evans December 18, 2025
"A profoundly satisfying read. I adored how the story unfolded. It kept me captivated without sacrificing elegance. Worth every moment spent reading."
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"Such a rich narrative. I became deeply invested in the protagonist's journey. A masterclass in storytelling. An absolute must-read for connoisseurs of the genre."
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"A highly sophisticated read. The protagonist was compelling, though some subplots felt slightly overshadowed. A wonderful companion for a quiet weekend."
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"Took a moment to build, but the payoff was spectacular. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. A very distinguished novel."
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"Masterpiece from start to finish. I adored how the story unfolded. It kept me captivated without sacrificing elegance. A true literary gem."
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"A decent, if standard, experience. The prose was competent, yet the characters lacked the depth I usually seek. Suitable if your reading queue is empty."
Nicholas Phillips
Nicholas Phillips February 04, 2025
"Absolutely brilliant. The author orchestrated a breathtaking finale. Truly a work of art. A true literary gem."
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"An acceptable diversion. The prose was competent, yet the characters lacked the depth I usually seek. Unlikely to reread, but a reasonable expenditure of time."
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"Such a rich narrative. I became deeply invested in the protagonist's journey. A masterclass in storytelling. An effortless 5 stars."
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"Exceeded all my expectations. The author orchestrated a breathtaking finale. Truly a work of art. A true literary gem."
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"Took a moment to build, but the payoff was spectacular. It held my rapt attention, even when certain twists were telegraphed. I would highly recommend this to discerning readers."
Mark Campbell
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"Masterpiece from start to finish. I became deeply invested in the protagonist's journey. A masterclass in storytelling. Worth every moment spent reading."
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"Masterpiece from start to finish. The author orchestrated a breathtaking finale. Truly a work of art. A true literary gem."
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"Absolutely brilliant. I adored how the story unfolded. It kept me captivated without sacrificing elegance. A true literary gem."
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"Took a moment to build, but the payoff was spectacular. The protagonist was compelling, though some subplots felt slightly overshadowed. A solid 4 stars from me."
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"It was adequate. The prose was competent, yet the characters lacked the depth I usually seek. Perhaps more aligned with a different audience's tastes."
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Mary Diaz
Mary Diaz August 23, 2024
"Such a rich narrative. The author orchestrated a breathtaking finale. Truly a work of art. I am now a lifelong fan of this author."
Edward Martin
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"I was completely blown away. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. Worth every moment spent reading."
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"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 very distinguished novel."
Kevin Nelson
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"A profoundly satisfying read. The author orchestrated a breathtaking finale. Truly a work of art. A true literary gem."
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"A highly sophisticated read. A brilliant concept executed with flair. Just a few pacing choices I would change. Quite impressive overall."
Cynthia Diaz
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Jacob Gonzalez
Jacob Gonzalez June 09, 2025
"Took a moment to build, but the payoff was spectacular. The protagonist was compelling, though some subplots felt slightly overshadowed. Quite impressive overall."
Edward Phillips
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"Such a rich narrative. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. I will undoubtedly revisit this masterpiece."
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"Such a rich narrative. The author orchestrated a breathtaking finale. Truly a work of art. A true literary gem."
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Linda Ramirez May 13, 2025
"Masterpiece from start to finish. The prose is exquisite. It’s accessible yet undeniably sophisticated. I am now a lifelong fan of this author."
Michael Gonzalez
Michael Gonzalez July 10, 2024
"Such a rich narrative. The author orchestrated a breathtaking finale. Truly a work of art. Worth every moment spent reading."
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"Masterpiece from start to finish. The prose is exquisite. It’s accessible yet undeniably sophisticated. An effortless 5 stars."
Sharon White
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"Exceeded all my expectations. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. I will undoubtedly revisit this masterpiece."
Richard Perez
Richard Perez December 12, 2025
"Masterpiece from start to finish. The author orchestrated a breathtaking finale. Truly a work of art. I am now a lifelong fan of this author."
Lisa Nguyen
Lisa Nguyen June 16, 2024
"Such a rich narrative. I became deeply invested in the protagonist's journey. A masterclass in storytelling. A true literary gem."
Andrew Johnson
Andrew Johnson January 20, 2025
"A highly sophisticated read. The middle had a deliberate pace, but the climax was phenomenal. I would highly recommend this to discerning readers."
Jennifer Wright
Jennifer Wright September 15, 2024
"An acceptable diversion. It verged on repetitive in the second act. A more concise edit would have served it well. Perhaps more aligned with a different audience's tastes."
Ryan Turner
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"A highly sophisticated read. The protagonist was compelling, though some subplots felt slightly overshadowed. A very distinguished novel."
Kimberly Hernandez
Kimberly Hernandez May 11, 2025
"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."
Patricia Harris
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"A highly sophisticated read. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. Quite impressive overall."
Eric Taylor
Eric Taylor November 10, 2024
"A very strong entry. It held my rapt attention, even when certain twists were telegraphed. A wonderful companion for a quiet weekend."
Joshua Scott
Joshua Scott March 06, 2025
"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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