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Irrational numbers.

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Irrational numbers --- Mathematics, Greek --- Mathématiques grecques --- Irrational numbers. --- Mathematics, Greek. --- Mathématiques grecques --- Greek mathematics --- Numbers, Irrational --- Geometry --- Numbers, Real

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Irrational numbers. --- Irrationalism (Philosophy) --- Mathematics --- Mathematics, Greek. --- Philosophy. --- Plato.

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The Galois theory of difference equations has witnessed a major evolution in the last two decades. In the particular case of q-difference equations, authors have introduced several different Galois theories. In this memoir we consider an arithmetic approach to the Galois theory of q-difference equations and we use it to establish an arithmetical description of some of the Galois groups attached to q-difference systems.

Differential equations. --- Galois theory. --- Galois modules (Algebra) --- Irrational numbers. --- Transcendental functions.

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The square root of 2 is a fascinating number – if a little less famous than such mathematical stars as pi, the number e, the golden ratio, or the square root of –1. (Each of these has been honored by at least one recent book.) Here, in an imaginary dialogue between teacher and student, readers will learn why v2 is an important number in its own right, and how, in puzzling out its special qualities, mathematicians gained insights into the illusive nature of irrational numbers. Using no more than basic high school algebra and geometry, David Flannery manages to convey not just why v2 is fascinating and significant, but how the whole enterprise of mathematical thinking can be played out in a dialogue that is imaginative, intriguing, and engaging. Original and informative, The Square Root of 2 is a one-of-a-kind introduction to the pleasure and playful beauty of mathematical thinking.

Irrational numbers. --- Numbers, Real. --- Real numbers --- Arithmetic --- Numbers, Complex --- Numbers, Irrational --- Numbers, Real --- Irrational numbers --- 51 --- 51 Mathematics --- Mathematics --- Science (General). --- Number theory. --- Popular Science, general. --- Number Theory. --- History of Mathematical Sciences. --- Number study --- Numbers, Theory of --- Algebra --- 51 Wiskunde. Mathematiek --- Wiskunde. Mathematiek --- Science. --- Natural science --- Natural sciences --- Science of science --- Sciences