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A rigorous deductive approach to elementary Euclidean geometry by Jean-Pierre Demailly
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**About this book :- **
**A Rigorous Deductive Approach to Elementary Euclidean Geometry** written by
** Jean-Pierre Demailly **

The main focus of this text volume is on the problem of describing the automorphism groups of affine and projective varieties, a classical subject in algebraic geometry where, in both cases, the automorphism group is often infinite dimensional. The collection covers a wide range of topics and is intended for researchers in the fields of classical algebraic geometry and birational geometry (Cremona groups) as well as affine geometry with an emphasis on algebraic group actions and automorphism groups. It presents original research and surveys and provides a valuable overview of the current state of the art in these topics.

Bringing together specialists from projective, birational algebraic geometry and affine and complex algebraic geometry, including Mori theory and algebraic group actions, this book is the result of ensuing talks and discussions from the conference “Groups of Automorphisms in Birational and Affine Geometry” held in October 2012, at the CIRM, Levico Terme, Italy. The talks at the conference highlighted the close connections between the above-mentioned areas and promoted the exchange of knowledge and methods from adjacent fields. The topics in affine geometry include: different aspects of the automorphism groups of affine varieties, flexibility properties in affine algebraic and analytic geometry, automorphisms of affine spaces and Shestakov–Umirbaev theory, affine geometry in positive characteristic, the automorphism groups of configuration spaces and other classes of affine varieties and deformations of certain group actions on affine varieties.

**Book Detail :- **
** Title: ** A Rigorous Deductive Approach to Elementary Euclidean Geometry
** Edition: **
** Author(s): ** Jean-Pierre Demailly
** Publisher: **
** Series: **
** Year: **
** Pages: ** 37
** Type: ** PDF
** Language: ** English
** ISBN: **
** Country: ** US
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**Book Contents :- **
**A Rigorous Deductive Approach to Elementary Euclidean Geometry** written by
** Jean-Pierre Demailly **
cover the following topics.

Introduction

On axiomatic approaches to geometry

Geometry, numbers and arithmetic operations

First steps of the introduction of Euclidean geometry

Cartesian coordinates in the plane

An axiomatic approach to Euclidean geometry

Foundations of vector calculus

Cartesian equation of circles and trigonometric functions

Intersection of lines and circles

Scalar product

More advanced material

On some ideas of Felix Hausdorff and Mikhail Gromov

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- Abstract Algebra
- Calculus
- Differential Equations
- Engineering Mathematics
- Linear Algebra
- Math Magic
- Real Analysis

- Basic Algebra
- Basic Mathematics
- Math History
- Math Formulas
- Mathematical Methods
- Number Theory
- Bio Mathematics
- Business Mathematics
- Probability & Statistics

**WORKSHEETS (Solved):- **

**SHORTCUT TRICKS (Division):- **

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