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Shafarevich's Basic Algebraic Geometry has been a classic and universally used introduction  to the subject since its first appearance over 40 years ago. As the translator writes in a prefatory note, ``For all [advanced undergraduate and beginning graduate] students, and for the many specialists in other branches of math who need a liberal education in algebraic geometry, Shafarevich’s book is a must.'' The third edition, in addition to some minor corrections, now offers a new treatment of the Riemann--Roch theorem for curves, including a proof from first principles. Shafarevich's book is an attractive and accessible introduction to algebraic geometry, suitable for beginning students and nonspecialists, and the new edition is set to remain a popular introduction to the field.

Geometry, algebraic. --- Mathematics. --- Mathematics --- Physical Sciences & Mathematics --- Geometry --- Algebraic geometry. --- Physics. --- Algebraic Geometry. --- Theoretical, Mathematical and Computational Physics. --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Algebraic geometry --- Math --- Science --- Geometry, Algebraic. --- Mathematical physics. --- Physical mathematics --- Physics --- Geometria algebraica

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Surfaces, Algebraic

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Shafarevich's Basic Algebraic Geometry has been a classic and universally used introduction  to the subject since its first appearance over 40 years ago. As the translator writes in a prefatory note, ``For all [advanced undergraduate and beginning graduate] students, and for the many specialists in other branches of math who need a liberal education in algebraic geometry, Shafarevich’s book is a must.'' The third edition, in addition to some minor corrections, now offers a new treatment of the Riemann--Roch theorem for curves, including a proof from first principles. Shafarevich's book is an attractive and accessible introduction to algebraic geometry, suitable for beginning students and nonspecialists, and the new edition is set to remain a popular introduction to the field.

Mathematics --- Algebraic geometry --- Geometry --- Mathematical physics --- landmeetkunde --- theoretische fysica --- wiskunde --- geometrie

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Persecutions --- Droits de l'homme --- U.r.s.s. --- Aspect religieux --- Vie religieuse --- Persecutions --- Droits de l'homme --- U.r.s.s. --- Aspect religieux --- Vie religieuse --- 20e siecle

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This book on linear algebra and geometry is based on a course given by renowned academician I.R. Shafarevich at Moscow State University. The book begins with the theory of linear algebraic equations and the basic elements of matrix theory and continues with vector spaces, linear transformations, inner product spaces, and the theory of affine and projective spaces. The book also includes some subjects that are naturally related to linear algebra but are usually not covered in such courses: exterior algebras, non-Euclidean geometry, topological properties of projective spaces, theory of quadrics (in affine and projective spaces), decomposition of finite abelian groups, and finitely generated periodic modules (similar to Jordan normal forms of linear operators). Mathematical reasoning, theorems, and concepts are illustrated with numerous examples from various fields of mathematics, including differential equations and differential geometry, as well as from mechanics and physics.

Mathematics. --- Linear and Multilinear Algebras, Matrix Theory. --- Algebra. --- Geometry. --- Associative Rings and Algebras. --- Matrix theory. --- Mathématiques --- Algèbre --- Géométrie --- Algebras, Linear. --- Algebras. --- Algebras, Linear --- Geometry --- Mathematics --- Physical Sciences & Mathematics --- Algebra --- Linear algebra --- Associative rings. --- Rings (Algebra). --- Euclid's Elements --- Algebra, Universal --- Generalized spaces --- Mathematical analysis --- Calculus of operations --- Line geometry --- Topology --- Rings (Algebra) --- Algebraic rings --- Ring theory --- Algebraic fields