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Calculus of variations.
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I. M. Gelfand, Sergei Vasil'evich Fomin
Fresh, lively text serves as a modern introduction to the subject, with applications to the mechanics of systems with a finite number of degrees of freedom. Ideal for math and physics students.
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Trigonometry
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Israel M Gelfand, Mark E Saul
"Trigonometry", a work in the collection of the Gelfand School Program, is the result of a collaboration between two experienced pre-college teachers, one of whom, I.M. Gelfand, is considered to be among our most distinguished living mathematicians. His impact on generations of young people, some now mathematicians of renown, continues to be ...
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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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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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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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Generalized Functions
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J M Gelfand, I M Gel'fand
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Discriminants, Resultants, and Multidimensional Determinants
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I M Gelfand
'This book revives and vastly expands the classical theory of resultants and discriminants. Most of the main new results of the book have been published earlier in more than a dozen joint papers of the authors. The book nicely complements these original papers with many examples illustrating both old and new results of the theory' - "Mathematical ...
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Trustee for a City: Ralph Lowell of Boston
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Mark I Gelfand
This intriguing biography of Lowell reveals a private life and a public career framed by both the heritage of a legendary family and a city in transition. Drawing on Lowell's diary as well as on private and public records, Mark I. Gelfand first traces Lowell's early years, his student days at Harvard University, his military service during World ...
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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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The Gelfand Mathematics Seminars, 1993 - 1995
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James Lepowsky (Editor), Mikhail M Smirnov (Editor), I M Gelfand (Editor)
Part of a series of texts taken from the weekly seminars held at Rutgers University. The topics are diverse, coming from many fields of mathematics and stressing a global view of mathematics and science.
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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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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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Algebraic Aspects of Integrable Equations Honoring the Memory of Irene Dorfman
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A S Fokas (Editor), I M Gelfand (Editor)
A collection of articles in memory of Irene Dorfman and her research in mathematical physics. Among the topics covered are: the Hamiltonian and bi-Hamiltonian nature of continuous and discrete integrable equations; the t-function construction; the r-matrix formulation of integrable systems; pseudo-differential operators and modular forms; master ...
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Coxeter Matroids
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Alexandre Borovik
Matroids appear in diverse areas of mathematics, from combinatorics to algebraic topology and geometry. This largely self-contained text provides an intuitive and interdisciplinary treatment of Coxeter matroids, a new and beautiful generalization of matroids which is based on a finite Coxeter group.Key topics and features:- Systematic, clearly ...
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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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Arnold-Gelfand Mathematical Seminars: Geometry and Singularity Theory
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Vladimir I Arnol'd (Editor), I M Gelfand (Editor), Mikhail Smirnov (Editor)
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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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A Nation of Cities: The Federal Government and Urban America, 1933-1965
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Mark I Gelfand
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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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Sequences, Combinations, Limits
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I M Gelfand (Editor)
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The Method of Coordinates - Vol 1
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I M Gelfand (Editor)
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Generalized functions. Vol.4, Applications of harmonic analysis
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I. M. Gelfand
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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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