Alexander Solzhenitsyn and six dissident colleagues who at the time of publication were still living in the USSR — six men totally vulnerable to arrest, imprisonment, or execution by the Soviet authorities — joined in the midseventies to write a book which surely remains the most extraordinary debate of a nation’s future published in modern times. Shattering a half-century of silence, From Under the Rubble constitutes a devastating attack on the Soviet regime, a moral indictment of the liberal West, and a Christian manifesto calling for a new society — one whose dominant values would be spiritual rather than economic. Personally edited by the Nobel Prize-winning author, fired by his own substantial contributions, From Under the Rubble articulates Solzhenitsyn’s most fervent call to action. His daring, and the remarkable courage of his colleagues, is testament to the seriousness of their demand for a revolution in which one does not kill one’s enemies, but in which “one puts oneself in danger for the sake of the nation!” With an introduction by Max Hayward, and translated under the direction of Michael Scammell. The contributors: Alexander Solzhenitsyn, Mikhail Agursky, Evgeny Barabanov, Vadim Borisov, F. Korsakov, A.B., Igor Shafarevich.
Igor R. Shafarevich Livres
Igor Rostislavovich Shafarevich fut un mathématicien russe ayant apporté des contributions notables à la théorie algébrique des nombres et à la géométrie algébrique. Au-delà de ses travaux mathématiques, il fut également l'auteur d'écrits critiques envers le socialisme, s'établissant ainsi comme une figure dissidente importante sous l'ère soviétique.





Basic algebraic geometry 1
- 328pages
- 12 heures de lecture
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.
Basic algebraic geometry 2
- 276pages
- 10 heures de lecture
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 second volume is in two parts: Book II is a gentle cultural introduction to scheme theory, with the first aim of putting abstract algebraic varieties on a firm foundation; a second aim is to introduce Hilbert schemes and moduli spaces, that serve as parameter spaces for other geometric constructions. Book III discusses complex manifolds and their relation with algebraic varieties, Kähler geometry and Hodge theory. The final section raises an important problem in uniformising higher dimensional varieties that has been widely studied as the ``Shafarevich conjecture''. The style of Basic Algebraic Geometry 2 and its minimal prerequisites make it to a large extent independent of Basic Algebraic Geometry 1, and accessible to beginning graduate students in mathematics and in theoretical physics.
Basic Notions of Algebra
- 264pages
- 10 heures de lecture
The book delves into K-theory, exploring both topological and algebraic aspects. It covers key concepts such as vector bundles, the index theorem, and the classification of projective modules. The text emphasizes the importance of understanding mathematical notions through examples rather than mere definitions. It also discusses the relationships between K-theory, arithmetic, and the Brauer group. A comprehensive survey of algebraic structures, it aims to highlight the significance of specific mathematical concepts within the broader context of the field.
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.