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Lectures on linear algebra
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I. M. Gelfand
Prominent Russian mathematician's concise, well-written exposition considers: n-dimensional spaces, linear and bilinear forms, linear transformations, canonical form of an arbitrary linear transformation, introduction to tensors, more. 1961 edition.
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Algebra
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I M Gel'fand
The need for improved mathematics education at the high school and college levels has never been more apparent than in the 1990s. As early as the 1960s, I.M. Gelfand and his colleagues in the USSR thought hard about this same question and developed a style for presenting basic mathematics in a clear and simple form that engaged the curiosity and ...
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Sequences, Combinations, Limits
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S I Gel'fand, M L Gerver, A A Kirillov
Focusing on theory more than computations, this 3-part text covers sequences, definitions, and methods of induction; combinations; and limits, with introductory problems, definition-related problems, and problems related to computation limits. Answers and hints to the test problems are provided; "road signs" mark passages requiring particular ...
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Functions and Graphs
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I M Gelfand (Editor)
'All through both volumes ["Functions & Graphs and The Methods of Coordinates"] , one finds a careful description of the step-by-step thinking process that leads up to the correct definition of a concept or to an argument that clinches in the proof of a theorem. We are ...very fortunate that an account of this caliber has finally made it to ...
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Generalized Functions
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J M Gelfand, I M Gel'fand
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The Method of Coordinates
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I M Gel'fand, E G Glagoleva, A A Kirillov
'All through both volumes ["Functions & Graphs" and "The Methods of Coordinates"], one finds a careful description of the step-by-step thinking process that leads up to the correct definition of a concept or to an argument that clinches in the proof of a theorem. We are ...very fortunate that an account of this caliber has finally made it to ...
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Commutative Normed Rings
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I M Gel'fand
From the Preface (1960): "This book is devoted to an account of one of the branches of functional analysis, the theory of commutative normed rings, and the principal applications of that theory. It is based on [the authors'] paper written...in 1940, hard on the heels of the initial period of the development of this theory..."The book consists of ...
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Collected Papers: Volume 1
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I M Gel'fand
I.M. Gelfand, one of the leading contemporary mathematicians, largely determined the modern view of functional analysis with its numerous relations to other branches of mathematics, including mathematical physics, algebra, topology, differential geometry and analysis. With the publication of these Collected Papers in three volumes Gelfand gives a ...
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Representation Theory: Selected Papers
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M I Graev, I N Bernstein, I M Gel'fand
The unifying theme of this collection of papers by the very creative Russian mathematician I. M. Gelfand and his co-workers is the representation theory of groups and lattices. Two of the papers were inspired by application to theoretical physics; the others are pure mathematics though all the papers will interest mathematicians at quite opposite ...
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Representations of the rotation and Lorentz groups and their applications
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I. M. Gel´fand
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Models of the structural-functional organization of certain biological systems
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I. M. Gel'fand, Carol Rowe Beard, Nikolai Aleksandrovich Bernshtein
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Selected Topics in Integral Geometry
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I. M. Gel'fand
The miracle of integral geometry is that it is often possible to recover a function on a manifold just from the knowledge of its integrals over certain submanifolds. The founding example is the Radon transform, introduced at the beginning of the 20th century. Since then, many other transforms were found, and the general theory was developed. ...
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Mathematical Problems of Tomography
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I M Gel'fand
As early as 1917, Radon derived an explicit formula for the reconstruction of a function on the plane, given its integrals over all lines. In the late 1960s, the first applications of the Radon formula appeared, in radio astronomy and then in electron micrography. The use of the Radon formula for constructing tomograms, made possible by the advent ...
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Representation Theory and Automorphic Functions
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I M Gel'fand
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