Non-Euclidean Geometry by Stefan Kulczycki
This accessible approach features two varieties of proofs: stereometric and planimetric, as well as elementary proofs that employ only the simplest properties of the plane. A short history of geometry precedes a systematic exposition of the principles of non-Euclidean geometry.Starting with fundamental assumptions, the author examines the theorems of Hjelmslev, mapping a plane into a circle, the angle of parallelism and area of a polygon, regular polygons, straight lines and planes in space, and the horosphere. Further development of the theory covers hyperbolic functions, the geometry of sufficiently small domains, spherical and analytical geometry, the Klein model, and other topics. Appendixes include a table of values of hyperbolic functions.
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Galois Theory
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The Magic of Numbers
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Elements of Abstract Algebra
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Principles of Statistics
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Elementary Concepts of Topology
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Trigonometry Refresher
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A Geometric Introduction to Topology
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Calculus Refresher
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Fibonacci and Lucas Numbers, and the Golden Section
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Introduction to Artificial Intelligence
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Intriguing Mathematical Problems
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Calculus of Variations
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Algebraic Number Theory
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History of Mathematics: General Survey of the History of Elementary Mathematics v. 1
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Mathematical Puzzling
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Practical Statistics Simply Explained
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Calculus and Statistics
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Statistical Adjustment of Data
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Basic Set Theory
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The Malliavin Calculus
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Elementary Decision Theory
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Logic and Boolean Algebra
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Greek Mathematical Thought and the Origin of Algebra
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Elementary Matrix Theory
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Introduction to Field Theory
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Introduction to Partial Differential Equations
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Modern Nonlinear Equations
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Mathematical Physics
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The Foundations of Statistics
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The Gamma Function
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The Mathematics of Games
- Theory of Markov Processes
- The Theory of Remainders
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Structure of Algebras
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Lectures on Functional Equations and Their Applications
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Combinatorics for Computer Science
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Lectures on Elementary Number Theory
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Numbers
| SKU | Unavailable |
| ISBN 13 | 9780486462646 |
| ISBN 10 | 0486462641 |
| Title | Non-Euclidean Geometry |
| Author | Stefan Kulczycki |
| Series | Dover Books On Mathematics |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Dover Publications Inc. |
| Year published | 2008-02-29 |
| Number of pages | 208 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |