Top Non-Euclidean Geometries and Their Applications

The best Non-Euclidean Geometries includes Chasing Dragons: Exploring Fractals and Reality, Chasing Dragons: Exploring Fractals and Reality, Taxicab Geometry Adventure: Non-Euclidean Math and many others as mentioned below.

1

Chasing Dragons: Exploring Fractals and Reality

  • Discover fractals from mathematical foundations to real-world applications.
  • Engaging narrative style for accessible learning experience.
  • Explore connections between fractals and natural phenomena.
  • Uncover fractals' impact on technology and science.
  • Awe-inspiring insights into the complexity of our universe.
  • Ideal for mathematics enthusiasts and curious minds alike.
  • Reveal hidden beauty through the lens of fractals.
  • Average Rating out of 5:
  • Price Range: $0.99
2

Chasing Dragons: Exploring Fractals and Reality

  • Explores fractals from mathematical origins to modern applications.
  • Engaging narrative style for easy comprehension.
  • Connects fractals with nature, cosmos, and human physiology.
  • Highlights advancements in fractal theory and machine learning.
  • Reveals hidden beauty through the lens of mathematics.
  • Inspires curiosity about the universe's complexity.
  • Accessible for both enthusiasts and newcomers alike.
  • Average Rating out of 5:
  • Price Range: $6.99
3

Taxicab Geometry Adventure: Non-Euclidean Math

  • Explores taxicab geometry for all math enthusiasts.
  • Non-Euclidean perspective enhances understanding of geometry.
  • Shortest path resembles urban grid movement.
  • Illustrates practical applications in urban planning.
  • Engaging approach for students and puzzle lovers.
  • Bridges theoretical math with real-world problem solving.
  • Ideal for high school and undergraduate math students.
  • Average Rating out of 5:
  • Price Range: $7.95
4

Dover Introduction to Non-Euclidean Geometry

  • First college-level text for non-Euclidean geometry.
  • Concise and readable for calculus students.
  • Explores historical background of Euclid's parallel postulate.
  • Includes original exercises for practical understanding.
  • Topics on hyperbolic and elliptic plane geometry.
  • Extensive appendixes for foundational geometry concepts.
  • Applications of calculus in hyperbolic geometry discussed.
  • Average Rating out of 5:
  • Price Range: $12.95
5

Graph Paper Notebook [100 Pages] - 5x5 Grid

  • 5x5 grid, perfect for precise calculations.
  • 100 pages of premium white graph paper.
  • Durable sage green cover for everyday use.
  • Ideal for students, professionals, and artists.
  • Large 8.5 x 11 inch standard size.
  • Light grey grid lines for easy visibility.
  • Versatile for sketching, note-taking, and journaling.
  • Average Rating out of 5:
  • Price Range: $5.99
6

Graph Paper Notebook (Quad Ruled, 110 Pages)

  • Perfect for math, science, and creative projects.
  • Sturdy quad-ruled pages for precise plotting.
  • Elegant matte cover for a professional look.
  • Convenient size: 8.5 x 11 inches.
  • Ideal for journaling, sketching, and note-taking.
  • 110 pages for extensive writing and drawing.
  • Great gift choice for students and professionals.
  • Average Rating out of 5:
  • Price Range: $5.99
7

Graph Paper Notebook [100 Pages]

  • Elegant and practical dot grid composition notebook.
  • Perfect for math, science, and artistic uses.
  • Large 8.5" x 11" size for ample space.
  • 110 pages total for extensive note-taking.
  • Thick cardstock matte cover for durability.
  • High-quality white paper minimizes ink bleed-through.
  • Ideal for school, office, or personal use.
  • Average Rating out of 5:
  • Price Range: $5.99
8

Gravity Math Geometry Rules Ebook

  • Explores math's role in understanding gravity.
  • Reveals geometry's impact on the universe.
  • Includes insights from renowned mathematicians.
  • Discusses concepts like black holes and gravitational waves.
  • Highlights the interplay between math and physics.
  • Offers a compelling perspective on mathematics' power.
  • A must-read for science enthusiasts and thinkers.
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  • Price Range: $18.99
9

Mathematics and Imagination (Dover Books Edition)

  • Explore imaginative aspects of mathematics.
  • Engaging for both math lovers and novices.
  • Delve into famous mathematical puzzles and paradoxes.
  • Understand the new language of mathematics easily.
  • Learn about probability in gambling and games.
  • Discover rubber-sheet geometry and its properties.
  • Progress from arithmetic to calculus smoothly.
  • Average Rating out of 5:
  • Price Range: $17.95
10

Fractalist: Memoir of a Scientific Genius

  • A captivating memoir by Benoit Mandelbrot.
  • Revitalized visual geometry and fractal concepts.
  • Insights into natural and financial worlds.
  • Chronicles his extraordinary life journey.
  • Emphasizes his unique educational background.
  • Breaks conventional boundaries in scientific research.
  • A blend of science, mathematics, and art.
  • Average Rating out of 5:
  • Price Range: $24.70
11

Visual Complex Analysis, 25th Anniversary Edition, Hardcover

  • 25th Anniversary Edition with new Foreword.
  • Includes new captions for 501 diagrams.
  • Print Replica Format for optimal reading experience.
  • Geometrical reasoning explained visually and intuitively.
  • Complex Analysis merged with ordinary calculus.
  • Accessible approach to a powerful mathematical subject.
  • Hand-drawn illustrations enhance reader understanding.
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  • Price Range: $37.12
12

Hyperbolic Planes: Tactile Math & Art

  • Explores non-Euclidean geometry through tactile experiences.
  • Detailed crochet instructions for geometric models included.
  • Features over 200 vibrant full-color photographs.
  • Connects geometry with art, nature, and sciences.
  • Daina Taimina shares personal hyperbolic plane adventures.
  • Includes recent hyperbolic geometry applications in various fields.
  • Award-winning book from the Mathematical Association of America.
  • Average Rating out of 5:
  • Price Range: $32.21
13

Grid Paper Notebook [100 Pages] - 5x5

  • 100 pages for extensive note-taking and drawing.
  • 5x5 graph ruled paper for precise plotting.
  • Ideal for students and professionals alike.
  • Standard 8.5 x 11 inches size fits easily.
  • Durable glossy blue cover for a professional look.
  • Perfect for creative projects and bullet journaling.
  • Versatile use in home, office, or school.
  • Average Rating out of 5:
  • Price Range: $5.99
14

Gravity Math Geometry Rules eBook

  • Explores math's role in understanding gravity.
  • Highlights Einstein's revolutionary theory of gravity.
  • Discusses black holes and gravitational waves.
  • Examines how math predicts physical discoveries.
  • Features insights from top mathematicians and physicists.
  • Offers a unique perspective on the universe.
  • Engaging for both math and science enthusiasts.
  • Average Rating out of 5:
  • Price Range: $12.72
15

The Shape of Life: Hidden Geometry in Mathematics

  • A journey of a mathematician’s life.
  • Explores the Calabi-Yau manifold's hidden dimensions.
  • Insights into geometric analysis and string theory.
  • Accessible explanations of complex mathematical concepts.
  • Reflections on overcoming childhood hardships.
  • Engaging narratives from a Fields medalist.
  • Discover the beauty of mathematics and physics.
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  • Price Range: $36.44
16

The Shape of a Life: A Mathematician's Journey

  • Explores geometry's role in understanding the universe.
  • Written by renowned Fields medalist Shing-Tung Yau.
  • Accessible explanations for complex mathematical concepts.
  • Chronicles Yau’s inspiring journey from poverty to success.
  • Covers pivotal moments in mathematical history and research.
  • Offers insights into string theory and black holes.
  • Engaging and readable for all audiences.
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  • Price Range: $15.39
17

Foundations of Geometry: Revised Edition

  • Classic work by renowned mathematician David Hilbert.
  • Revised edition with improved quality diagrams.
  • Explores axiomatic foundations of geometry.
  • Includes 20 axioms divided into five groups.
  • Constructs various geometries beyond Euclidean concepts.
  • Connects geometry with ancient number theory origins.
  • Ideal for understanding mathematical thinking processes.
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  • Price Range: $12.95
18

Geometry's Influence: Math in the Universe

  • Explores geometry's role in understanding gravity.
  • Highlights contributions from renowned mathematicians and physicists.
  • Examines phenomena like black holes and gravitational waves.
  • Discusses mathematical logic's connection to physical reality.
  • Offers insights into mathematics driving scientific discoveries.
  • Engaging for both math enthusiasts and science lovers.
  • Unveils the universe's secrets through mathematical perspectives.
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  • Price Range: $21.10
19

Extra Dimensions: A Visual Guide

  • Visual tour of fourth-dimensional concepts
  • Explores second and lower dimensions for understanding
  • Imagines life in a 4D hyperuniverse
  • Pictures of fascinating 4D polytopes included
  • In-depth discussion on hypercube properties
  • Unique graphs of curved hypersurfaces presented
  • Puzzles included for engaging fourth-dimensional contemplation
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  • Price Range: $3.99
20

The Visual Guide to Extra Dimensions

  • Explores physics of extra dimensions in detail.
  • Focuses on compactification and higher-dimensional theories.
  • Includes puzzles to challenge the reader's understanding.
  • Written by a Ph.D. in particle physics.
  • Conceptual and visual introduction for mathematically-minded readers.
  • Discusses current experiments on large extra dimensions.
  • Accessible without extensive calculus knowledge.
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  • Price Range: $3.99
21

The Vortex of Life: Nature's Patterns

  • Pioneering research on plant growth patterns.
  • Reveals universal laws guiding organism development.
  • Explores shapes of buds, plants, and embryos.
  • Profound implications for genetics and stem-cell research.
  • Edited and revised by Graham Calderwood.
  • Originally published in 1993, still relevant today.
  • Lawrence Edwards’s legacy in botanical science.
  • Average Rating out of 5:
  • Price Range: $36.46
22

Euclidean and Non-Euclidean Geometries History

  • Comprehensive overview of geometry's evolution.
  • Explores philosophical significance of non-Euclidean geometry.
  • Rigorous foundations based on Hilbert's principles.
  • Accessible for liberal arts and math students.
  • First chapters suitable for educated readers.
  • Advanced topics in later chapters and appendices.
  • Includes hyperbolic trigonometry and Riemannian geometry introduction.
  • Average Rating out of 5:
  • Price Range: $196.36
23

Hyperbolic Geometry (Springer Undergraduate Mathematics)

  • Self-contained introduction to hyperbolic geometry.
  • Covers upper half-space and Poincaré disc models.
  • Discusses Möbius transformations and distance in hyperbolic space.
  • Explores convex subsets and their properties.
  • Includes Gauss-Bonnet formula and applications.
  • Expanded discussion on planar models via complex analysis.
  • Features new exercises for enhanced learning experience.
  • Average Rating out of 5:
  • Price Range: $37.99
24

Hyperbolic Crochet Adventures by Daina Taimina

  • Winner of the prestigious Euler Book Prize.
  • Over 200 vibrant, full-color photographs included.
  • Non-traditional introduction to non-Euclidean geometries.
  • Explores geometry's connections to art and nature.
  • Step-by-step crochet instructions for geometric models.
  • Encourages creativity and personal variations in crafting.
  • Develops a new understanding of mathematics through crafting.
  • Average Rating out of 5:
  • Price Range: $15.44
25

Non-Euclidean Geometry by Henry Parker Manning

  • Comprehensive introduction to non-Euclidean geometry.
  • Suitable for high-school and college students.
  • Requires basic knowledge of plane geometry.
  • Covers elliptic and hyperbolic geometry topics.
  • Includes common theorems from both geometries.
  • Final part integrates calculus concepts.
  • Published in the 1901 edition.
  • Average Rating out of 5:
  • Price Range: $5.59
26

Outer Billiards on Kites (Mathematics Studies)

  • Explores outer billiards on irrational kites.
  • Affirmative solution to Moser-Neumann question presented.
  • Analyzes unbounded orbits in dynamical systems.
  • Links to Diophantine approximation and modular group.
  • Discusses self-similar sets and polytope exchange maps.
  • Connects to profinite completions of integers and solenoids.
  • Essential reading for mathematics and dynamical system enthusiasts.
  • Price Range: $85.00
27

Fractals: Chance, Form, and Dimension (Benoit B. Mandelbrot)

  • Explore the beauty of fractal geometry.
  • Uncover nature's hidden mathematical patterns.
  • Learn from renowned mathematician Benoit B. Mandelbrot.
  • Revolutionary insights into complex shapes.
  • Applicable across various scientific fields.
  • Illustrations enhance understanding of geometric concepts.
  • Perfect for mathematics and nature enthusiasts.
  • Average Rating out of 5:
  • Price Range: $23.33
28

Geometry and Imagination: Insights from AMS Publishing

  • Timeless masterpiece of mathematical exposition.
  • Clear and elegant explanations of complex ideas.
  • Explores simple curves and surfaces.
  • Discusses crystallographic groups and regular polyhedra.
  • Insightful on projective geometry and its significance.
  • Includes magnificent drawings enhancing understanding.
  • Influential for mathematicians throughout the century.
  • Average Rating out of 5:
  • Price Range: $123.80
29

Graph Paper Notebook [100 Pages] - 5x5 Grid

  • 100 pages of premium white graph paper.
  • 5x5 grid for precise calculations and designs.
  • 8.5 x 11 inches, standard large size.
  • Stylish charcoal cover with matte finish.
  • Ideal for students, professionals, and artists.
  • Perfect for math, science, and engineering projects.
  • Multipurpose use for note-taking and sketching.
  • Average Rating out of 5:
  • Price Range: $5.99
30

Fractalist: Memoir of a Scientific Pioneer

  • A captivating memoir by Benoit Mandelbrot.
  • Explores the origins of fractal geometry.
  • Revolutionized understanding of natural and financial phenomena.
  • Details a remarkable life journey and achievements.
  • Highlights his education at prestigious institutions.
  • Discusses his unique approach to scientific research.
  • Combines beauty with groundbreaking mathematical concepts.
  • Average Rating out of 5:
  • Price Range: $9.99