An Algebraic Approach to Geometry: Geometric Trilogy II

An Algebraic Approach to Geometry: Geometric Trilogy II

by Francis Borceux

Paperback(Softcover reprint of the original 1st ed. 2014)

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Product Details

ISBN-13: 9783319347523
Publisher: Springer International Publishing
Publication date: 08/23/2016
Edition description: Softcover reprint of the original 1st ed. 2014
Pages: 430
Product dimensions: 6.10(w) x 9.25(h) x 0.04(d)

About the Author

Francis Borceux is Professor of mathematics at the University of Louvain since many years. He has developed research in algebra and essentially taught geometry, number theory and algebra courses and he has been dean of the Faculty of Sciences of his University and chairman of the Mathematical Committee of the Belgian National Scientific Research Foundation.

Table of Contents

​Introduction.- Preface.- 1.The Birth of Analytic Geometry.- 2.Affine Geometry.- 3.More on Real Affine Spaces.- 4.Euclidean Geometry.- 5.Hermitian Spaces.- 6.Projective Geometry.- 7.Algebraic Curves.- Appendices:A. Polynomials Over a Field.- B. Polynomials in Several Variables.- C. Homogeneous Polynomials.- D. Resultants.- E. Symmetric Polynomials.- F. Complex Numbers.- G. Quadratic Forms.- H. Dual Spaces.- Index.- Bibliography.​

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