An Algebraic Approach to Geometry: Geometric Trilogy II

Author:   Francis Borceux
Publisher:   Springer International Publishing AG
Edition:   Softcover reprint of the original 1st ed. 2014
ISBN:  

9783319347523


Pages:   430
Publication Date:   23 August 2016
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

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An Algebraic Approach to Geometry: Geometric Trilogy II


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Full Product Details

Author:   Francis Borceux
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   Softcover reprint of the original 1st ed. 2014
Dimensions:   Width: 15.50cm , Height: 2.30cm , Length: 23.50cm
Weight:   0.682kg
ISBN:  

9783319347523


ISBN 10:   3319347527
Pages:   430
Publication Date:   23 August 2016
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

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.​

Reviews

From the book reviews: The book under review is the second of a trilogy of books discussing the broad sweep of geometry and the various ways of approaching this subject. ... This book ... would give the students not only a new look at geometry but also a renewed appreciation for the power of linear algebra in other branches of mathematics. ... it is certainly something that any instructor interested in geometry or algebra would want to have. (Mark Hunacek, MAA Reviews, January, 2014) This beautiful, comprehensive, well-written and clearly structured book addresses all those who have to teach or learn geometry at an undergraduate level. More than 110 very aesthetical figures accompany the text and appeal to the geometric intuition of the reader; 41 references are recommended for further reading. The text is divided into 7 chapters, each begins with an overview and ends with problems and exercises. (Rolf Riesinger, zbMATH, Vol. 1298, 2014)


From the book reviews: The book under review is the second of a trilogy of books discussing the broad sweep of geometry and the various ways of approaching this subject. ... This book ... would give the students not only a new look at geometry but also a renewed appreciation for the power of linear algebra in other branches of mathematics. ... it is certainly something that any instructor interested in geometry or algebra would want to have. (Mark Hunacek, MAA Reviews, January, 2014) This beautiful, comprehensive, well-written and clearly structured book addresses all those who have to teach or learn geometry at an undergraduate level. More than 110 very aesthetical figures accompany the text and appeal to the geometric intuition of the reader; 41 references are recommended for further reading. The text is divided into 7 chapters, each begins with an overview and ends with problems and exercises. (Rolf Riesinger, zbMATH, Vol. 1298, 2014)


From the book reviews: The book under review is the second of a trilogy of books discussing the broad sweep of geometry and the various ways of approaching this subject. ... This book ... would give the students not only a new look at geometry but also a renewed appreciation for the power of linear algebra in other branches of mathematics. ... it is certainly something that any instructor interested in geometry or algebra would want to have. (Mark Hunacek, MAA Reviews, January, 2014) This beautiful, comprehensive, well-written and clearly structured book addresses all those who have to teach or learn geometry at an undergraduate level. More than 110 very aesthetical figures accompany the text and appeal to the geometric intuition of the reader; 41 references are recommended for further reading. The text is divided into 7 chapters, each begins with an overview and ends with problems and exercises. (Rolf Riesinger, zbMATH, Vol. 1298, 2014)


Author Information

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.

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