On Some Problems Of Gelfand

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Algebra

Author : I.M. Gelfand
Publisher : Springer Science & Business Media
ISBN 13 : 9780817636777
Total Pages : 164 pages
Book Rating : 4.6/5 (367 download)

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Book Synopsis Algebra by : I.M. Gelfand

Download or read book Algebra written by I.M. Gelfand and published by Springer Science & Business Media. This book was released on 2003-07-09 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about algebra. This is a very old science and its gems have lost their charm for us through everyday use. We have tried in this book to refresh them for you. The main part of the book is made up of problems. The best way to deal with them is: Solve the problem by yourself - compare your solution with the solution in the book (if it exists) - go to the next problem. However, if you have difficulties solving a problem (and some of them are quite difficult), you may read the hint or start to read the solution. If there is no solution in the book for some problem, you may skip it (it is not heavily used in the sequel) and return to it later. The book is divided into sections devoted to different topics. Some of them are very short, others are rather long. Of course, you know arithmetic pretty well. However, we shall go through it once more, starting with easy things. 2 Exchange of terms in addition Let's add 3 and 5: 3+5=8. And now change the order: 5+3=8. We get the same result. Adding three apples to five apples is the same as adding five apples to three - apples do not disappear and we get eight of them in both cases. 3 Exchange of terms in multiplication Multiplication has a similar property. But let us first agree on notation.

Numerical Continuation Methods

Author : Eugene L. Allgower
Publisher : Springer Science & Business Media
ISBN 13 : 3642612571
Total Pages : 402 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Numerical Continuation Methods by : Eugene L. Allgower

Download or read book Numerical Continuation Methods written by Eugene L. Allgower and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past fifteen years two new techniques have yielded extremely important contributions toward the numerical solution of nonlinear systems of equations. This book provides an introduction to and an up-to-date survey of numerical continuation methods (tracing of implicitly defined curves) of both predictor-corrector and piecewise-linear types. It presents and analyzes implementations aimed at applications to the computation of zero points, fixed points, nonlinear eigenvalue problems, bifurcation and turning points, and economic equilibria. Many algorithms are presented in a pseudo code format. An appendix supplies five sample FORTRAN programs with numerical examples, which readers can adapt to fit their purposes, and a description of the program package SCOUT for analyzing nonlinear problems via piecewise-linear methods. An extensive up-to-date bibliography spanning 46 pages is included. The material in this book has been presented to students of mathematics, engineering and sciences with great success, and will also serve as a valuable tool for researchers in the field.

Rule Makers, Rule Breakers

Author : Michele Gelfand
Publisher : Scribner
ISBN 13 : 1501152947
Total Pages : 384 pages
Book Rating : 4.5/5 (11 download)

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Book Synopsis Rule Makers, Rule Breakers by : Michele Gelfand

Download or read book Rule Makers, Rule Breakers written by Michele Gelfand and published by Scribner. This book was released on 2019-08-20 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: A celebrated social psychologist offers a radical new perspective on cultural differences that reveals why some countries, cultures, and individuals take rules more seriously and how following the rules influences the way we think and act. In Rule Makers, Rule Breakers, Michele Gelfand, “an engaging writer with intellectual range” (The New York Times Book Review), takes us on an epic journey through human cultures, offering a startling new view of the world and ourselves. With a mix of brilliantly conceived studies and surprising on-the-ground discoveries, she shows that much of the diversity in the way we think and act derives from a key difference—how tightly or loosely we adhere to social norms. Just as DNA affects everything from eye color to height, our tight-loose social coding influences much of what we do. Why are clocks in Germany so accurate while those in Brazil are frequently wrong? Why do New Zealand’s women have the highest number of sexual partners? Why are red and blue states really so divided? Why was the Daimler-Chrysler merger ill-fated from the start? Why is the driver of a Jaguar more likely to run a red light than the driver of a plumber’s van? Why does one spouse prize running a tight ship while the other refuses to sweat the small stuff? In search of a common answer, Gelfand spent two decades conducting research in more than fifty countries. Across all age groups, family variations, social classes, businesses, states, and nationalities, she has identified a primal pattern that can trigger cooperation or conflict. Her fascinating conclusion: behavior is highly influenced by the perception of threat. “A useful and engaging take on human behavior” (Kirkus Reviews) with an approach that is consistently riveting, Rule Makers, Ruler Breakers thrusts many of the puzzling attitudes and actions we observe into sudden and surprising clarity.

Calculus of Variations

Author : I. M. Gelfand
Publisher : Courier Corporation
ISBN 13 : 0486135012
Total Pages : 240 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Calculus of Variations by : I. M. Gelfand

Download or read book Calculus of Variations written by I. M. Gelfand and published by Courier Corporation. This book was released on 2012-04-26 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Sequences and Combinatorial Problems

Author : Richard A. Silverman
Publisher :
ISBN 13 :
Total Pages : 108 pages
Book Rating : 4.4/5 (91 download)

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Book Synopsis Sequences and Combinatorial Problems by : Richard A. Silverman

Download or read book Sequences and Combinatorial Problems written by Richard A. Silverman and published by . This book was released on 1968 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometry

Author : Israel M. Gelfand
Publisher : Springer Nature
ISBN 13 : 1071602993
Total Pages : 420 pages
Book Rating : 4.0/5 (716 download)

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Book Synopsis Geometry by : Israel M. Gelfand

Download or read book Geometry written by Israel M. Gelfand and published by Springer Nature. This book was released on 2020-02-22 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is the fifth and final in the series of educational books written by Israel Gelfand with his colleagues for high school students. These books cover the basics of mathematics in a clear and simple format – the style Gelfand was known for internationally. Gelfand prepared these materials so as to be suitable for independent studies, thus allowing students to learn and practice the material at their own pace without a class. Geometry takes a different approach to presenting basic geometry for high-school students and others new to the subject. Rather than following the traditional axiomatic method that emphasizes formulae and logical deduction, it focuses on geometric constructions. Illustrations and problems are abundant throughout, and readers are encouraged to draw figures and “move” them in the plane, allowing them to develop and enhance their geometrical vision, imagination, and creativity. Chapters are structured so that only certain operations and the instruments to perform these operations are available for drawing objects and figures on the plane. This structure corresponds to presenting, sequentially, projective, affine, symplectic, and Euclidean geometries, all the while ensuring students have the necessary tools to follow along. Geometry is suitable for a large audience, which includes not only high school geometry students, but also teachers and anyone else interested in improving their geometrical vision and intuition, skills useful in many professions. Similarly, experienced mathematicians can appreciate the book’s unique way of presenting plane geometry in a simple form while adhering to its depth and rigor. “Gelfand was a great mathematician and also a great teacher. The book provides an atypical view of geometry. Gelfand gets to the intuitive core of geometry, to the phenomena of shapes and how they move in the plane, leading us to a better understanding of what coordinate geometry and axiomatic geometry seek to describe.” - Mark Saul, PhD, Executive Director, Julia Robinson Mathematics Festival “The subject matter is presented as intuitive, interesting and fun. No previous knowledge of the subject is required. Starting from the simplest concepts and by inculcating in the reader the use of visualization skills, [and] after reading the explanations and working through the examples, you will be able to confidently tackle the interesting problems posed. I highly recommend the book to any person interested in this fascinating branch of mathematics.” - Ricardo Gorrin, a student of the Extended Gelfand Correspondence Program in Mathematics (EGCPM)

Basic Mathematics

Author : Serge Lang
Publisher :
ISBN 13 : 9783540967873
Total Pages : 475 pages
Book Rating : 4.9/5 (678 download)

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Book Synopsis Basic Mathematics by : Serge Lang

Download or read book Basic Mathematics written by Serge Lang and published by . This book was released on 1988-01 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Trigonometry

Author : I.M. Gelfand
Publisher : Springer Science & Business Media
ISBN 13 : 1461201497
Total Pages : 229 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Trigonometry by : I.M. Gelfand

Download or read book Trigonometry written by I.M. Gelfand and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a sense, trigonometry sits at the center of high school mathematics. It originates in the study of geometry when we investigate the ratios of sides in similar right triangles, or when we look at the relationship between a chord of a circle and its arc. It leads to a much deeper study of periodic functions, and of the so-called transcendental functions, which cannot be described using finite algebraic processes. It also has many applications to physics, astronomy, and other branches of science. It is a very old subject. Many of the geometric results that we now state in trigonometric terms were given a purely geometric exposition by Euclid. Ptolemy, an early astronomer, began to go beyond Euclid, using the geometry of the time to construct what we now call tables of values of trigonometric functions. Trigonometry is an important introduction to calculus, where one stud ies what mathematicians call analytic properties of functions. One of the goals of this book is to prepare you for a course in calculus by directing your attention away from particular values of a function to a study of the function as an object in itself. This way of thinking is useful not just in calculus, but in many mathematical situations. So trigonometry is a part of pre-calculus, and is related to other pre-calculus topics, such as exponential and logarithmic functions, and complex numbers.

Discriminants, Resultants, and Multidimensional Determinants

Author : Israel M. Gelfand
Publisher : Springer Science & Business Media
ISBN 13 : 0817647716
Total Pages : 523 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Discriminants, Resultants, and Multidimensional Determinants by : Israel M. Gelfand

Download or read book Discriminants, Resultants, and Multidimensional Determinants written by Israel M. Gelfand and published by Springer Science & Business Media. This book was released on 2009-05-21 with total page 523 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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 Reviews

The Method of Coordinates

Author : I. M. Gelfand
Publisher : Courier Corporation
ISBN 13 : 9780486425658
Total Pages : 82 pages
Book Rating : 4.4/5 (256 download)

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Book Synopsis The Method of Coordinates by : I. M. Gelfand

Download or read book The Method of Coordinates written by I. M. Gelfand and published by Courier Corporation. This book was released on 2002-01-01 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two-part treatment begins with discussions of coordinates of points on a line, coordinates of points in a plane, and coordinates of points in space. Part two examines geometry as an aid to calculation and peculiarities of four-dimensional space. Abundance of ingenious problems — includes solutions, answers, and hints. 1967 edition.

Non-commutative Gelfand Theories

Author : Steffen Roch
Publisher : Springer Science & Business Media
ISBN 13 : 0857291831
Total Pages : 388 pages
Book Rating : 4.8/5 (572 download)

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Book Synopsis Non-commutative Gelfand Theories by : Steffen Roch

Download or read book Non-commutative Gelfand Theories written by Steffen Roch and published by Springer Science & Business Media. This book was released on 2010-11-19 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written as a hybrid between a research monograph and a textbook the first half of this book is concerned with basic concepts for the study of Banach algebras that, in a sense, are not too far from being commutative. Essentially, the algebra under consideration either has a sufficiently large center or is subject to a higher order commutator property (an algebra with a so-called polynomial identity or in short: Pl-algebra). In the second half of the book, a number of selected examples are used to demonstrate how this theory can be successfully applied to problems in operator theory and numerical analysis. Distinguished by the consequent use of local principles (non-commutative Gelfand theories), PI-algebras, Mellin techniques and limit operator techniques, each one of the applications presented in chapters 4, 5 and 6 forms a theory that is up to modern standards and interesting in its own right. Written in a way that can be worked through by the reader with fundamental knowledge of analysis, functional analysis and algebra, this book will be accessible to 4th year students of mathematics or physics whilst also being of interest to researchers in the areas of operator theory, numerical analysis, and the general theory of Banach algebras.

Functions and Graphs

Author : I. M. Gelfand
Publisher : Courier Corporation
ISBN 13 : 0486317137
Total Pages : 112 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Functions and Graphs by : I. M. Gelfand

Download or read book Functions and Graphs written by I. M. Gelfand and published by Courier Corporation. This book was released on 2013-04-09 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text demonstrates the fundamentals of graph theory. The 1st part employs simple functions to analyze basics; 2nd half deals with linear functions, quadratic trinomials, linear fractional functions, power functions, rational functions. 1969 edition.

Lectures on Linear Algebra

Author : I. M. Gelfand
Publisher : Courier Corporation
ISBN 13 : 9780486660820
Total Pages : 212 pages
Book Rating : 4.6/5 (68 download)

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Book Synopsis Lectures on Linear Algebra by : I. M. Gelfand

Download or read book Lectures on Linear Algebra written by I. M. Gelfand and published by Courier Corporation. This book was released on 1989-01-01 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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, and an introduction to tensors. While not designed as an introductory text, the book's well-chosen topics, brevity of presentation, and the author's reputation will recommend it to all students, teachers, and mathematicians working in this sector.

Mathematical Problems and Methods of Hydrodynamic Weather Forecasting

Author : Vladimir Gordin
Publisher : CRC Press
ISBN 13 : 1482287412
Total Pages : 812 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Mathematical Problems and Methods of Hydrodynamic Weather Forecasting by : Vladimir Gordin

Download or read book Mathematical Problems and Methods of Hydrodynamic Weather Forecasting written by Vladimir Gordin and published by CRC Press. This book was released on 2000-09-20 with total page 812 pages. Available in PDF, EPUB and Kindle. Book excerpt: The material provides an historical background to forecasting developments as well as introducing recent advances. The book will be of interest to both mathematicians and physicians, the topics covered include equations of dynamical meteorology, first integrals, non-linear stability, well-posedness of boundary problems, non-smooth solutions, parame

Sequences, Combinations, Limits

Author : S. I. Gelfand
Publisher : Courier Corporation
ISBN 13 : 9780486425665
Total Pages : 164 pages
Book Rating : 4.4/5 (256 download)

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Book Synopsis Sequences, Combinations, Limits by : S. I. Gelfand

Download or read book Sequences, Combinations, Limits written by S. I. Gelfand and published by Courier Corporation. This book was released on 2002-01-01 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 attention. 1969 edition.

Positional Decision Making in Chess

Author : Boris Gelfand
Publisher : Quality Chess
ISBN 13 : 9781784830052
Total Pages : 0 pages
Book Rating : 4.8/5 (3 download)

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Book Synopsis Positional Decision Making in Chess by : Boris Gelfand

Download or read book Positional Decision Making in Chess written by Boris Gelfand and published by Quality Chess. This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Positional Decision Making in Chess offers a rare look into the mind of a top grandmaster. In his efforts to explain his way of thinking, Boris Gelfand focuses on such topics as the squeeze, space advantage, the transformation of pawn structures and the transformation of advantages. Based on examples from his own games and those of his hero, Akiba Rubinstein, Gelfand explains how he thinks during the game.

Harmonic Analysis in Hypercomplex Systems

Author : Yu.M. Berezansky
Publisher : Springer Science & Business Media
ISBN 13 : 9780792350293
Total Pages : 502 pages
Book Rating : 4.3/5 (52 download)

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Book Synopsis Harmonic Analysis in Hypercomplex Systems by : Yu.M. Berezansky

Download or read book Harmonic Analysis in Hypercomplex Systems written by Yu.M. Berezansky and published by Springer Science & Business Media. This book was released on 1998-03-31 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: First works related to the topics covered in this book belong to J. Delsarte and B. M. Le vitan and appeared since 1938. In these works, the families of operators that generalize usual translation operators were investigated and the corresponding harmonic analysis was constructed. Later, starting from 1950, it was noticed that, in such constructions, an important role is played by the fact that the kernels of the corresponding convolutions of functions are nonnegative and by the properties of the normed algebras generated by these convolutions. That was the way the notion of hypercomplex system with continu ous basis appeared. A hypercomplex system is a normed algebra of functions on a locally compact space Q-the "basis" of this hypercomplex system. Later, similar objects, hypergroups, were introduced, which have complex-valued measures on Q as elements and convolution defined to be essentially the convolution of functionals and dual to the original convolution (if measures are regarded as functionals on the space of continuous functions on Q). However, until 1991, the time when this book was written in Russian, there were no monographs containing fundamentals of the theory (with an exception of a short section in the book by Yu. M. Berezansky and Yu. G. Kondratiev [BeKo]). The authors wanted to give an introduction to the theory and cover the most important subsequent results and examples.