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Visual Geometry and Topology

Visual Geometry and Topology

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4.85
33,944 Global Ratings
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Visual Geometry and Topology

Visual Geometry and Topology

4.85 33,944 Ratings
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Editor's Note:
Geometry and topology are strongly motivated by the visualization of ideal objects that have certain special characteristics. A clear formulation of a specific property or a logically consistent proof of a theorem often comes only after the mathematician has correctly "seen" what is going on. These pictures which are meant to serve as signposts leading to mathematical understanding, frequently also contain a beauty of their own. The principal aim of this book is to narrate, in an accessible and fairly visual language, about some classical and modern achievements of geometry and topology in both intrinsic mathematical problems and applications to mathematical physics. The book starts from classical notions of topology and ends with remarkable new results in Hamiltonian geometry. Fomenko lays special emphasis upon visual explanations of the problems and results and downplays the abstract logical aspects of calculations. As an example, readers can very quickly penetrate into the new theory of topological descriptions of integrable Hamiltonian differential equations. The book includes numerous graphical sheets drawn by the author, which are presented in special sections of "Visual material." These pictures illustrate the mathematical ideas and results contained in the book. Using these pictures, the reader can understand many modern mathematical ideas and methods. Although "Visual Geometry and Topology" is about mathematics, Fomenko has written and illustrated this book so that students and researchers from all the natural sciences and also artists and art students will find something of interest within its pages.

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Released December 27, 1993
Identifier (ISBN) 5035632
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More By Anatolij T. Fomenko A. T. Fomenko


Anatolij T. Fomenko A. T. Fomenko
The Mind Behind the Work
Anatolij T. Fomenko A. T. Fomenko

Anatolij T. Fomenko A. T. Fomenko 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. Anatolij T. Fomenko A. T. Fomenko lives with their spouse and a very vocal rescue cat.

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Critical Reception & Reviews

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Karen Walker
Karen Walker May 24, 2024
"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."
Charles Sanchez
Charles Sanchez December 30, 2025
"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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Nancy Robinson
Nancy Robinson November 01, 2025
"Absolutely brilliant. The author orchestrated a breathtaking finale. Truly a work of art. Worth every moment spent reading."
James Moore
James Moore March 07, 2025
"Such a rich narrative. I became deeply invested in the protagonist's journey. A masterclass in storytelling. Worth every moment spent reading."
Charles Nguyen
Charles Nguyen November 07, 2024
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Joshua Moore
Joshua Moore October 21, 2024
"It was adequate. It verged on repetitive in the second act. A more concise edit would have served it well. A fair 3 stars."
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"A very strong entry. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. A very distinguished novel."
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John Johnson June 17, 2025
"Exceeded all my expectations. I adored how the story unfolded. It kept me captivated without sacrificing elegance. Worth every moment spent reading."
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Matthew Davis August 10, 2024
"Absolutely brilliant. The author orchestrated a breathtaking finale. Truly a work of art. A true literary gem."
Eric Johnson
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"A profoundly satisfying read. I became deeply invested in the protagonist's journey. A masterclass in storytelling. A true literary gem."
Joshua Campbell
Joshua Campbell September 14, 2025
"A highly sophisticated read. The protagonist was compelling, though some subplots felt slightly overshadowed. I would highly recommend this to discerning readers."
Daniel Thomas
Daniel Thomas May 26, 2024
"Exceeded all my expectations. I became deeply invested in the protagonist's journey. A masterclass in storytelling. I will undoubtedly revisit this masterpiece."
Nicholas  Davis
Nicholas Davis November 28, 2025
"Excellent, though slightly flawed. It held my rapt attention, even when certain twists were telegraphed. A wonderful companion for a quiet weekend."
Edward Torres
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"Exceeded all my expectations. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. I am now a lifelong fan of this author."
Mary Scott
Mary Scott March 14, 2025
"A profoundly satisfying read. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. An absolute must-read for connoisseurs of the genre."
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"I thoroughly enjoyed the elegance of it. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. A wonderful companion for a quiet weekend."
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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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Andrew Hill September 08, 2024
"Absolutely brilliant. The author orchestrated a breathtaking finale. Truly a work of art. An effortless 5 stars."
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"A very strong entry. It held my rapt attention, even when certain twists were telegraphed. A very distinguished novel."
Margaret Rivera
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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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Ryan Scott
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"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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"Honestly one of the most premium reading experiences lately. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. An effortless 5 stars."
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"A profoundly satisfying read. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. I will undoubtedly revisit this masterpiece."
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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."
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"A highly sophisticated read. A brilliant concept executed with flair. Just a few pacing choices I would change. A very distinguished novel."
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"I was completely blown away. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. An absolute must-read for connoisseurs of the genre."
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"An acceptable diversion. It possessed moments of brilliance, but the narrative felt slightly disjointed ultimately. Perfectly average."
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"A very strong entry. It held my rapt attention, even when certain twists were telegraphed. I would highly recommend this to discerning readers."
Mark Thompson
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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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"I thoroughly enjoyed the elegance of it. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. I would highly recommend this to discerning readers."
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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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"Took a moment to build, but the payoff was spectacular. It held my rapt attention, even when certain twists were telegraphed. A wonderful companion for a quiet weekend."
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"Exceeded all my expectations. I became deeply invested in the protagonist's journey. A masterclass in storytelling. An effortless 5 stars."
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"A profoundly satisfying read. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. An effortless 5 stars."
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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."
Sandra Robinson
Sandra Robinson September 03, 2024
"A highly sophisticated read. It held my rapt attention, even when certain twists were telegraphed. A solid 4 stars from me."
Kenneth Torres
Kenneth Torres January 14, 2024
"Excellent, though slightly flawed. A brilliant concept executed with flair. Just a few pacing choices I would change. A solid 4 stars from me."
Deborah Sanchez
Deborah Sanchez August 15, 2024
"Exceeded all my expectations. I adored how the story unfolded. It kept me captivated without sacrificing elegance. Worth every moment spent reading."
Sharon Martin
Sharon Martin October 11, 2024
"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."
Stephanie Nguyen
Stephanie Nguyen May 23, 2025
"Honestly one of the most premium reading experiences lately. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. An effortless 5 stars."
James Phillips
James Phillips January 21, 2025
"A profoundly satisfying read. I became deeply invested in the protagonist's journey. A masterclass in storytelling. Worth every moment spent reading."
Barbara Martinez
Barbara Martinez December 29, 2025
"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."
Michelle Flores
Michelle Flores October 14, 2024
"Absolutely brilliant. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. An absolute must-read for connoisseurs of the genre."
Christopher Scott
Christopher Scott April 15, 2024
"Took a moment to build, but the payoff was spectacular. The middle had a deliberate pace, but the climax was phenomenal. Quite impressive overall."
Richard Green
Richard Green July 05, 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."
Thomas Diaz
Thomas Diaz February 20, 2025
"Excellent, though slightly flawed. The middle had a deliberate pace, but the climax was phenomenal. A very distinguished novel."
Ashley Moore
Ashley Moore October 02, 2024
"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."
Sharon Campbell
Sharon Campbell August 25, 2025
"Such a rich narrative. I became deeply invested in the protagonist's journey. A masterclass in storytelling. I will undoubtedly revisit this masterpiece."
Thomas Scott
Thomas Scott January 24, 2024
"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."
Karen Roberts
Karen Roberts December 31, 2024
"An acceptable diversion. The prose was competent, yet the characters lacked the depth I usually seek. Suitable if your reading queue is empty."
Brian Torres
Brian Torres May 27, 2025
"A profoundly satisfying read. The prose is exquisite. It’s accessible yet undeniably sophisticated. A true literary gem."
Karen Collins
Karen Collins September 27, 2025
"A very strong entry. It held my rapt attention, even when certain twists were telegraphed. A solid 4 stars from me."
Edward Torres
Edward Torres July 20, 2024
"Masterpiece from start to finish. I adored how the story unfolded. It kept me captivated without sacrificing elegance. Worth every moment spent reading."
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"Absolutely brilliant. I became deeply invested in the protagonist's journey. A masterclass in storytelling. An effortless 5 stars."
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Jennifer Torres July 14, 2024
"Exceeded all my expectations. I adored how the story unfolded. It kept me captivated without sacrificing elegance. A true literary gem."
Sarah  Parker
Sarah Parker June 20, 2024
"Excellent, though slightly flawed. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. A wonderful companion for a quiet weekend."
Brian Rodriguez
Brian Rodriguez August 20, 2024
"Masterpiece from start to finish. I adored how the story unfolded. It kept me captivated without sacrificing elegance. An effortless 5 stars."
Andrew Turner
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"A highly sophisticated read. A brilliant concept executed with flair. Just a few pacing choices I would change. A solid 4 stars from me."
Patricia Mitchell
Patricia Mitchell March 11, 2024
"Masterpiece from start to finish. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. An effortless 5 stars."
Betty Taylor
Betty Taylor September 03, 2024
"Masterpiece from start to finish. I became deeply invested in the protagonist's journey. A masterclass in storytelling. I will undoubtedly revisit this masterpiece."
George Reyes
George Reyes September 15, 2024
"I was completely blown away. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. A true literary gem."
Nancy Reyes
Nancy Reyes August 16, 2024
"I was completely blown away. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. A true literary gem."
Elizabeth Martin
Elizabeth Martin March 04, 2025
"I was completely blown away. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. I will undoubtedly revisit this masterpiece."
Ryan Jones
Ryan Jones October 29, 2024
"A highly sophisticated read. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. Quite impressive overall."
Ashley Lopez
Ashley Lopez May 22, 2025
"A very strong entry. It held my rapt attention, even when certain twists were telegraphed. A very distinguished novel."
Brian  Davis
Brian Davis June 04, 2024
"Exceeded all my expectations. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. I will undoubtedly revisit this masterpiece."
Lisa Wilson
Lisa Wilson March 10, 2024
"A very strong entry. The middle had a deliberate pace, but the climax was phenomenal. I would highly recommend this to discerning readers."
James Moore
James Moore October 21, 2024
"A profoundly satisfying read. I became deeply invested in the protagonist's journey. A masterclass in storytelling. An absolute must-read for connoisseurs of the genre."
Sarah Martin
Sarah Martin March 18, 2024
"Absolutely brilliant. The author orchestrated a breathtaking finale. Truly a work of art. I am now a lifelong fan of this author."
Ashley Lopez
Ashley Lopez April 12, 2024
"Exceeded all my expectations. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. I am now a lifelong fan of this author."
Daniel Diaz
Daniel Diaz October 18, 2025
"Absolutely brilliant. I became deeply invested in the protagonist's journey. A masterclass in storytelling. Worth every moment spent reading."
Ashley Baker
Ashley Baker June 29, 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."
Donna Allen
Donna Allen May 26, 2025
"Absolutely brilliant. The prose is exquisite. It’s accessible yet undeniably sophisticated. I will undoubtedly revisit this masterpiece."
Nicholas Wright
Nicholas Wright May 11, 2024
"A highly sophisticated read. The middle had a deliberate pace, but the climax was phenomenal. I would highly recommend this to discerning readers."
James Gomez
James Gomez May 31, 2024
"Exceeded all my expectations. The author orchestrated a breathtaking finale. Truly a work of art. An absolute must-read for connoisseurs of the genre."
Elizabeth Mitchell
Elizabeth Mitchell November 22, 2025
"A highly sophisticated read. The middle had a deliberate pace, but the climax was phenomenal. A solid 4 stars from me."
Gary Williams
Gary Williams September 02, 2024
"A profoundly satisfying read. The author orchestrated a breathtaking finale. Truly a work of art. Worth every moment spent reading."
Elizabeth Roberts
Elizabeth Roberts July 02, 2025
"It was adequate. The prose was competent, yet the characters lacked the depth I usually seek. Perfectly average."
Stephanie Hall
Stephanie Hall March 29, 2025
"Honestly one of the most premium reading experiences lately. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. I am now a lifelong fan of this author."
Betty Sanchez
Betty Sanchez December 16, 2025
"Masterpiece from start to finish. I became deeply invested in the protagonist's journey. A masterclass in storytelling. A true literary gem."
Joshua Campbell
Joshua Campbell January 10, 2024
"Such a rich narrative. I adored how the story unfolded. It kept me captivated without sacrificing elegance. A true literary gem."
Andrew Jones
Andrew Jones July 08, 2025
"Took a moment to build, but the payoff was spectacular. The middle had a deliberate pace, but the climax was phenomenal. A very distinguished novel."
Mark Gomez
Mark Gomez February 26, 2024
"I was completely blown away. The author orchestrated a breathtaking finale. Truly a work of art. An effortless 5 stars."
Eric Taylor
Eric Taylor December 17, 2024
"Masterpiece from start to finish. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. A true literary gem."
Barbara Edwards
Barbara Edwards March 13, 2025
"Absolutely brilliant. I adored how the story unfolded. It kept me captivated without sacrificing elegance. A true literary gem."
Paul Smith
Paul Smith December 05, 2024
"Honestly one of the most premium reading experiences lately. The author orchestrated a breathtaking finale. Truly a work of art. An effortless 5 stars."
Karen Collins
Karen Collins March 05, 2025
"Not entirely to my refined tastes. The prose was competent, yet the characters lacked the depth I usually seek. Perfectly average."
Ryan Mitchell
Ryan Mitchell September 11, 2025
"It was adequate. The tempo was somewhat languid, and I found my mind wandering. Not poor, simply average. A fair 3 stars."
Sandra  Parker
Sandra Parker July 31, 2024
"A highly sophisticated read. It held my rapt attention, even when certain twists were telegraphed. A very distinguished novel."
Ryan Johnson
Ryan Johnson October 11, 2025
"Absolutely brilliant. The author orchestrated a breathtaking finale. Truly a work of art. I will undoubtedly revisit this masterpiece."
Barbara Flores
Barbara Flores February 15, 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. I would highly recommend this to discerning readers."
Thomas Brown
Thomas Brown October 01, 2024
"A highly sophisticated read. It held my rapt attention, even when certain twists were telegraphed. A solid 4 stars from me."
Sarah Cruz
Sarah Cruz November 14, 2024
"A highly sophisticated read. A brilliant concept executed with flair. Just a few pacing choices I would change. I would highly recommend this to discerning readers."
Mary Miller
Mary Miller October 06, 2024
"Honestly one of the most premium reading experiences lately. The author orchestrated a breathtaking finale. Truly a work of art. An absolute must-read for connoisseurs of the genre."
Lisa Jackson
Lisa Jackson November 24, 2025
"A profoundly satisfying read. I became deeply invested in the protagonist's journey. A masterclass in storytelling. A true literary gem."
Joseph White
Joseph White September 21, 2025
"A very strong entry. The protagonist was compelling, though some subplots felt slightly overshadowed. Quite impressive overall."
William Hall
William Hall January 30, 2024
"Exceeded all my expectations. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. An absolute must-read for connoisseurs of the genre."
Margaret Gomez
Margaret Gomez March 24, 2025
"I was completely blown away. The author orchestrated a breathtaking finale. Truly a work of art. Worth every moment spent reading."
Robert  Parker
Robert Parker October 18, 2024
"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."
Nancy Lewis
Nancy Lewis November 29, 2024
"Excellent, though slightly flawed. The protagonist was compelling, though some subplots felt slightly overshadowed. Quite impressive overall."
Patricia  Parker
Patricia Parker October 08, 2025
"Excellent, though slightly flawed. It held my rapt attention, even when certain twists were telegraphed. A wonderful companion for a quiet weekend."
Cynthia Mitchell
Cynthia Mitchell November 07, 2024
"A profoundly satisfying read. The prose is exquisite. It’s accessible yet undeniably sophisticated. A true literary gem."
Lisa Green
Lisa Green February 28, 2025
"Masterpiece from start to finish. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. I will undoubtedly revisit this masterpiece."
Michelle Jones
Michelle Jones October 18, 2024
"Exceeded all my expectations. I became deeply invested in the protagonist's journey. A masterclass in storytelling. I am now a lifelong fan of this author."
Sharon Martinez
Sharon Martinez February 08, 2025
"A profoundly satisfying read. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. I will undoubtedly revisit this masterpiece."
Nancy Robinson
Nancy Robinson December 06, 2024
"Absolutely brilliant. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. An absolute must-read for connoisseurs of the genre."
William Hall
William Hall December 16, 2024
"Excellent, though slightly flawed. It held my rapt attention, even when certain twists were telegraphed. A wonderful companion for a quiet weekend."
Linda Evans
Linda Evans May 25, 2024
"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."
Paul White
Paul White January 05, 2025
"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."
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