Best Non-Euclidean Geometry Books to Make Yourself a Geometry Expert

Non-Euclidean geometry which is totally different from Euclidean geometry. The two most common non-Euclidean geometries are spherical geometry and hyperbolic geometry. Cosmology and space research mainly depends on non-euclidean geometry. NASA use Non-Euclidean Geometries for rockets and space exploration because space is a 3D area and space is curved. If you want to be a cosmology researcher and interest in geometry, below books will be the best choice for you.
Euclidean and Non-Euclidean Geometries: Development and History
Author: Marvin J. Greenberg
Published at: 28/09/2007
ISBN: 0716799480

This amazing guide provides you the history of geometry. The chapters are arranged in the way that you can learn most essential topics from the first eight chapters. Then, the last chapters give you more advanced things about euclidean and non-euclidean geometry

What you'll learn-

    • The philosophical significance of non-euclidean geometry
    • Elementary euclidian geometry
    • Hyperbolic trigonometry
    • Riemannian geometry
    • Classification of Hilbert planes
    • Hyperbolic constructions

    Non-Euclidean Geometry for Babies (Math for Babies)
    Author: Fred Carlson
    Published at: 05/12/2012
    ISBN: 1480203246

    This guide offers you the color-full diagram of every geometrical topic. You can learn from the very basics of non-Euclidean's geometry. Perfect for babies who prefer the color pink instead of blue.

    What you'll learn-

    • Basics of Euclid's Geometry
    • Parallel Postulate
    • Basic concepts of advanced mathematics

    The Fourth Dimension and Non-Euclidean Geometry in Modern Art (Leonardo Book Series)
    Author: Linda Dalrymple Henderson
    Published at: 15/02/2013
    ISBN: 0262582449

    This is an essential book for anyone interested in the intersection between science, mathematics and culture. It offers a riveting chronicle of the emergence of the idea of the fourth dimension in math.

    What you'll learn-

    • The emergence of the fourth dimension
    • The idea of non-Euclidean spaces
    • Modern geometrical art
    • Uses of mathematics and physics in the geometrical field

    Non-Euclidean Geometry: A Critical and Historical Study of its Development
    Author: Roberto Bonola,Nicholas Lobachevski,John Boylai
    Published at: 18/11/2010
    ISBN: 0486600270

    This is an excellent book provides you prove of Euclid's parallel postulate. Students, teachers and mathematicians will find here a ready reference source and guide to a field that has now become overwhelmingly important. 

    What you'll learn-

      • Euclid's parallel postulate
      • Discussion of later developments
      • Geometrical Researches on the Theory of Parallels

      Non-Euclidean Geometry (Mathematical Association of America Textbooks)
      Author: H. S. M. Coxeter
      Published at: 01/07/1998
      ISBN: 0883855224

      This complete guide gives you full instructions about non-euclidean geometry. Also, it begins with an introductory chapter. This is essential and must read book for anybody who is interested in geometry

      What you'll learn-

      • Real projective geometry
      • Elliptic geometry
      • Euclidean and hyperbolic geometries
      • Descriptive geometry

      The Elements of Non-Euclidean Geometry (Dover Books on Mathematics)
      Author: D. M.Y. Sommerville,Mathematics
      Published at: 12/04/2005
      ISBN: 0486442225
      This book offers you an affordable non-euclidean geometry introduction. Also, a student can find from a fundamental analysis of parallelism to advanced topics as inversion and transformations in this book. The problems are arranged in a way using perfect forms and methods. 
      What you'll learn-
      • Analysis of non-Euclidean geometry
      • Philosophical implications of non-Euclidean geometry
      • Systems of circles, inversion, equations of transformation
      • 136 problems
      • Gauss’ proof of the defect-area theorem
      • Theory of the radical axes

      Author: Marvin Jay Greenberg
      Published at: 01/01/1980
      ISBN: B001510MD8

      This book offers you development and history of Euclidean and non-euclidean geometry. Besides primary and introductory geometry, you can also learn about many advanced topics.

      What you'll learn-

      • Foundation of Euclidean geometry
      • Introduction of Non-euclidean geometry
      • Analysis non-Euclidean geometry
      • Hyperbolic Euclidean trigonometry
      • Euclidean parallelism

      Introduction to Non-Euclidean Geometry (Dover Books on Mathematics)
      Author: Harold E. Wolfe
      Published at: 17/10/2012
      ISBN: 0486498506
      This amazing book gives you background information on the foundation of Euclidean geometry. You can get step by step solutions of some problems in hyperbolic geometry, elliptic plane geometry and trigonometry. Overall, the best book for non-euclidean parallelism.
      What you'll learn-
      • Hyperbolic plane geometry
      • Hyperbolic plane trigonometry
      • Applications of calculus
      • Foundation of Euclidean geometry
      • Theory of orthogonal circles
      • Elements of inversion.

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