https://mklab.gr/ Wed, 29 Jul 2026 08:23:43 +0000 MyBB https://mklab.gr/showthread.php?tid=751 Fri, 26 Jun 2026 18:22:20 +0300 mklabgr]]> https://mklab.gr/showthread.php?tid=751 Geometry 
by Julian F. Fleron

Summary

Discovering the Art of Mathematics: Geometry is an interactive learning guide designed to transform the way we see space, shifting mathematics away from rigid equations and into an engaging, hands-on exploration of the world around us. Instead of memorizing formulas, readers step into the role of explorers, starting with the classic imaginary universe of Flatland to study how we perceive vision before building their own three-dimensional art projects to understand spatial structure. 

This playful, creative journey pushes past traditional boundaries, ultimately guiding learners to intuitively grasp complex concepts like higher dimensions and the intricate, fractured worlds of fractals. By blending artistic creation with intellectual curiosity, the book invites you to experience geometry not just as a school subject, but as a deeply human way to make sense of our universe.

BOOK]]> Geometry 
by Julian F. Fleron

Summary

Discovering the Art of Mathematics: Geometry is an interactive learning guide designed to transform the way we see space, shifting mathematics away from rigid equations and into an engaging, hands-on exploration of the world around us. Instead of memorizing formulas, readers step into the role of explorers, starting with the classic imaginary universe of Flatland to study how we perceive vision before building their own three-dimensional art projects to understand spatial structure. 

This playful, creative journey pushes past traditional boundaries, ultimately guiding learners to intuitively grasp complex concepts like higher dimensions and the intricate, fractured worlds of fractals. By blending artistic creation with intellectual curiosity, the book invites you to experience geometry not just as a school subject, but as a deeply human way to make sense of our universe.

BOOK]]> https://mklab.gr/showthread.php?tid=716 Wed, 24 Jun 2026 15:37:08 +0300 mklabgr]]> https://mklab.gr/showthread.php?tid=716 A Beautiful Journey Through Olympiad Geometry
by Stefan Lozanovski

Summary 

Are you looking to master advanced mathematical concepts and crush high-level competitions? For many students, breaking into elite competitive mathematics feels daunting, especially when top-tier resources are hard to find. "A Beautiful Journey Through Olympiad Geometry" by Stefan Lozanovski changes the game by offering a comprehensive, accessible roadmap through advanced geometric theorems.

This guide bridges the gap between basic school math and complex tournament problems using a "pay-what-you-want" model to democratize global STEM education. By covering essential themes like triangle centers and inversion with clear proofs, it empowers aspiring mathematicians worldwide regardless of their financial background.

Investing time in specialized problem-solving completely reshapes how you approach complex logical challenges. Whether you are training for the International Mathematical Olympiad or sharpening your critical thinking, this resource offers an invaluable tool for intellectual growth. Dive in today and discover how deep analytical skills can unlock doors to future scientific breakthroughs.


BOOK]]> A Beautiful Journey Through Olympiad Geometry
by Stefan Lozanovski

Summary 

Are you looking to master advanced mathematical concepts and crush high-level competitions? For many students, breaking into elite competitive mathematics feels daunting, especially when top-tier resources are hard to find. "A Beautiful Journey Through Olympiad Geometry" by Stefan Lozanovski changes the game by offering a comprehensive, accessible roadmap through advanced geometric theorems.

This guide bridges the gap between basic school math and complex tournament problems using a "pay-what-you-want" model to democratize global STEM education. By covering essential themes like triangle centers and inversion with clear proofs, it empowers aspiring mathematicians worldwide regardless of their financial background.

Investing time in specialized problem-solving completely reshapes how you approach complex logical challenges. Whether you are training for the International Mathematical Olympiad or sharpening your critical thinking, this resource offers an invaluable tool for intellectual growth. Dive in today and discover how deep analytical skills can unlock doors to future scientific breakthroughs.


BOOK]]> https://mklab.gr/showthread.php?tid=715 Wed, 24 Jun 2026 15:27:35 +0300 mklabgr]]> https://mklab.gr/showthread.php?tid=715 Introduction to the Geometry of the Triangle 
BY Paul Yiu

Summary

Euclidean Geometry by Paul Yiu offers a deep exploration of classical geometry, presenting the beauty of shapes, relationships, and mathematical reasoning through a structured and rigorous approach. The text introduces fundamental concepts such as triangles, circles, geometric transformations, and important theorems while showing how logical thinking connects simple ideas into powerful results.

Designed for students, educators, and mathematics enthusiasts, the book highlights the timeless value of geometric proofs and problem-solving techniques. Through clear explanations and numerous examples, it demonstrates how Euclidean geometry remains a foundation of modern mathematics, inspiring creativity, analytical thinking, and a deeper understanding of the world through mathematical patterns.

BOOKS]]> Introduction to the Geometry of the Triangle 
BY Paul Yiu

Summary

Euclidean Geometry by Paul Yiu offers a deep exploration of classical geometry, presenting the beauty of shapes, relationships, and mathematical reasoning through a structured and rigorous approach. The text introduces fundamental concepts such as triangles, circles, geometric transformations, and important theorems while showing how logical thinking connects simple ideas into powerful results.

Designed for students, educators, and mathematics enthusiasts, the book highlights the timeless value of geometric proofs and problem-solving techniques. Through clear explanations and numerous examples, it demonstrates how Euclidean geometry remains a foundation of modern mathematics, inspiring creativity, analytical thinking, and a deeper understanding of the world through mathematical patterns.

BOOKS]]> https://mklab.gr/showthread.php?tid=273 Wed, 10 Jun 2026 23:08:37 +0300 mklabgr]]> https://mklab.gr/showthread.php?tid=273 Geometry, with an Introduction to Cosmic Topology, 
by Hitchman. 

Summary 

This text develops non-Euclidean geometry and geometry on surfaces at a level appropriate for undergraduate students who have completed a multivariable calculus course and are ready for a course in which to practice the habits of thought needed in advanced courses of the undergraduate mathematics curriculum. The text is also suited to independent study, with essays and discussions throughout.

BOOK PAGE]]> Geometry, with an Introduction to Cosmic Topology, 
by Hitchman. 

Summary 

This text develops non-Euclidean geometry and geometry on surfaces at a level appropriate for undergraduate students who have completed a multivariable calculus course and are ready for a course in which to practice the habits of thought needed in advanced courses of the undergraduate mathematics curriculum. The text is also suited to independent study, with essays and discussions throughout.

BOOK PAGE]]> https://mklab.gr/showthread.php?tid=244 Wed, 10 Jun 2026 03:20:54 +0300 mklabgr]]> https://mklab.gr/showthread.php?tid=244 Course of Linear Algebra and Multidimensional Geometry
by Ruslan Sharipov

Summary  This book is written as a textbook for the course of multidimensional geometry and linear algebra for the first year students at Physical and Mathematical Departments. It covers linear vector spaces and linear mappings, linear operators, dual space, bilinear and quadratic forms, Euclidean spaces, Affine spaces.

BOOK PAGE]]> Course of Linear Algebra and Multidimensional Geometry
by Ruslan Sharipov

Summary  This book is written as a textbook for the course of multidimensional geometry and linear algebra for the first year students at Physical and Mathematical Departments. It covers linear vector spaces and linear mappings, linear operators, dual space, bilinear and quadratic forms, Euclidean spaces, Affine spaces.

BOOK PAGE]]> https://mklab.gr/showthread.php?tid=243 Wed, 10 Jun 2026 03:17:50 +0300 mklabgr]]> https://mklab.gr/showthread.php?tid=243 An Introduction to Geometry
by Wong Yan Loi

Summary  An Introduction to Geometry is a 145-page textbook written by Wong Yan Loi, a mathematician at the National University of Singapore (NUS). It serves as a rigorous, axiomatic exposition of geometry, specifically for modules like MA2219)

BOOK PAGE]]> An Introduction to Geometry
by Wong Yan Loi

Summary  An Introduction to Geometry is a 145-page textbook written by Wong Yan Loi, a mathematician at the National University of Singapore (NUS). It serves as a rigorous, axiomatic exposition of geometry, specifically for modules like MA2219)

BOOK PAGE]]> https://mklab.gr/showthread.php?tid=223 Wed, 10 Jun 2026 02:12:26 +0300 mklabgr]]> https://mklab.gr/showthread.php?tid=223 Euclidean Plane and Its Relatives
by Anton Petrunin

Summary  This book is meant to be rigorous, conservative, elementary and minimalist. At the same time it includes about the maximum what students can absorb in one semester. It covers Euclidean geometry, Inversive geometry, Non-Euclidean geometry and Additional topics.

BOOK PAGE]]> Euclidean Plane and Its Relatives
by Anton Petrunin

Summary  This book is meant to be rigorous, conservative, elementary and minimalist. At the same time it includes about the maximum what students can absorb in one semester. It covers Euclidean geometry, Inversive geometry, Non-Euclidean geometry and Additional topics.

BOOK PAGE]]> https://mklab.gr/showthread.php?tid=154 Mon, 08 Jun 2026 20:15:54 +0300 mklabgr]]> https://mklab.gr/showthread.php?tid=154 Euclid's Elements
Oliver Byrne

Oliver Byrne’s Euclid is a remarkable 19th-century reimagining of Euclid’s Elements, presented in a way that transforms geometry into a visual experience. Originally published in 1847, Byrne replaced many traditional letter-based diagrams with colorful shapes and symbols, making geometric relationships easier to understand and remember. This modern digital version recreates Byrne’s beautiful work while adding interactive diagrams, cross-references, and other features that allow readers to explore Euclid’s ideas in a more engaging way. 

The project shows how mathematics is not only a collection of formulas and proofs but also a language of patterns, shapes, and visual reasoning. By bringing an ancient mathematical masterpiece into the digital age, it connects the elegance of Greek geometry with modern methods of learning, allowing anyone to experience the clarity and beauty that made Euclid’s work influential for more than two thousand years. 

BOOK PAGE]]> Euclid's Elements
Oliver Byrne

Oliver Byrne’s Euclid is a remarkable 19th-century reimagining of Euclid’s Elements, presented in a way that transforms geometry into a visual experience. Originally published in 1847, Byrne replaced many traditional letter-based diagrams with colorful shapes and symbols, making geometric relationships easier to understand and remember. This modern digital version recreates Byrne’s beautiful work while adding interactive diagrams, cross-references, and other features that allow readers to explore Euclid’s ideas in a more engaging way. 

The project shows how mathematics is not only a collection of formulas and proofs but also a language of patterns, shapes, and visual reasoning. By bringing an ancient mathematical masterpiece into the digital age, it connects the elegance of Greek geometry with modern methods of learning, allowing anyone to experience the clarity and beauty that made Euclid’s work influential for more than two thousand years. 

BOOK PAGE]]> https://mklab.gr/showthread.php?tid=153 Mon, 08 Jun 2026 20:12:21 +0300 mklabgr]]> https://mklab.gr/showthread.php?tid=153 Euclid's Elements Redux 
Daniel Callahan

The textbook Euclid's Elements Redux, authored by Daniel Callahan, is an open educational resource designed to modernize and make accessible the foundational mathematical principles of Euclid's Elements.

BOOK PAGE]]> Euclid's Elements Redux 
Daniel Callahan

The textbook Euclid's Elements Redux, authored by Daniel Callahan, is an open educational resource designed to modernize and make accessible the foundational mathematical principles of Euclid's Elements.

BOOK PAGE]]> https://mklab.gr/showthread.php?tid=9 Sun, 02 Feb 2025 12:55:44 +0200 mklabgr]]> https://mklab.gr/showthread.php?tid=9
https://drive.google.com/file/d/1U4c3HIz...sp=sharing]]>
https://drive.google.com/file/d/1U4c3HIz...sp=sharing]]> https://mklab.gr/showthread.php?tid=8 Sun, 02 Feb 2025 12:52:10 +0200 mklabgr]]> https://mklab.gr/showthread.php?tid=8
Fundamentals of Geometry by Oleg A. Belyaev is a rigorously axiomatic, freely accessible textbook. Originally conceived as an introduction to symmetry, it evolved into a comprehensive, self-contained guide covering foundational geometric systems from classical to hyperbolic and projective spaces.

BOOK PAGE]]>
Fundamentals of Geometry by Oleg A. Belyaev is a rigorously axiomatic, freely accessible textbook. Originally conceived as an introduction to symmetry, it evolved into a comprehensive, self-contained guide covering foundational geometric systems from classical to hyperbolic and projective spaces.

BOOK PAGE]]>