The Method Of Coordinates

Author: I. M. Gelfand
Publisher: Courier Corporation
ISBN: 9780486425658
File Size: 61,38 MB
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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.

The Method Of Coordinates

Author: I.M. Gelfand
Publisher: Springer Science & Business Media
ISBN: 9780817635336
File Size: 75,76 MB
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"The Method of Coordinates" is one volume in a series of books that present basic mathematics in a clear and simple form. The book describes a way of transferring images into formulas, describing pictures by numbers. The content is fundamental to the study of calculus and other mathematical topics. All through this volume, 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. High school students or teachers, reading this book will learn an enormous amount of good mathematics. More importantly, they would also get a glimpse of how mathematics is done.

The Method Of Coordinates By I M Gelfand E G Glagoleva And A A Kirillov

Author: Izrailʹ Moiseevich Gelʹfand
Publisher:
ISBN:
File Size: 21,39 MB
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Learning Higher Mathematics

Author: L.S. Pontrjagin
Publisher: Springer Science & Business Media
ISBN: 3642690408
File Size: 62,44 MB
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Read: 1915
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Lev Semenovic Pontrjagin (1908) is one of the outstanding figures in 20th century mathematics. In a long career he has made fundamental con tributions to many branches of mathematics, both pure and applied. He has received every honor that a grateful government can bestow. Though in no way constrained to do so, he has through the years taught mathematics courses at Moscow State University. In the year 1975 he set himself the task of writing a series of books on secondary school and beginning university mathematics. In his own words, "I wished to set forth the foundations of higher mathematics in a form that would have been accessible to myself as a lad, but making use of all my experience as a scientist and a teacher, ac cumulated over many years. " The present volume is a translation of the first two out of four moderately sized volumes on this theme planned by Pro fessor Pontrjagin. The book begins at the beginning of modern mathematics, analytic ge ometry in the plane and 3-dimensional space. Refinements about limits and the nature of real numbers come only later. Many concrete examples are given; these may take the place of formal exercises, which the book does not provide. The book continues with careful treatment of differentiation and integration, of limits, of expansions of elementary functions in power se ries.

The Method Of Coordinates

Author: I. M. Gelfand
Publisher: MIT Press (MA)
ISBN: 9780262070287
File Size: 45,76 MB
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Functions And Graphs

Author: I. M. Gelfand
Publisher: Courier Corporation
ISBN: 0486317137
File Size: 34,12 MB
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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.

The Method Of Coordinates Translated And Adapted From The Russian

Author: I. M. Gelfand
Publisher:
ISBN:
File Size: 33,26 MB
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Algebra

Author: I.M. Gelfand
Publisher: Springer Science & Business Media
ISBN: 9780817636777
File Size: 19,91 MB
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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.

Lines And Curves

Author: Victor Gutenmacher
Publisher: Springer Science & Business Media
ISBN: 1475738099
File Size: 76,79 MB
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Broad appeal to undergraduate teachers, students, and engineers; Concise descriptions of properties of basic planar curves from different perspectives; useful handbook for software engineers; A special chapter---"Geometry on the Web"---will further enhance the usefulness of this book as an informal tutorial resource.; Good mathematical notation, descriptions of properties of lines and curves, and the illustration of geometric concepts facilitate the design of computer graphics tools and computer animation.; Video game designers, for example, will find a clear discussion and illustration of hard-to-understand trajectory design concepts.; Good supplementary text for geometry courses at the undergraduate and advanced high school levels

Parallel Coordinates

Author: Alfred Inselberg
Publisher: Springer Science & Business Media
ISBN: 0387686282
File Size: 61,24 MB
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This is one book that can genuinely be said to be straight from the horse’s mouth. Written by the originator of the technique, it examines parallel coordinates as the leading methodology for multidimensional visualization. Starting from geometric foundations, this is the first systematic and rigorous exposition of the methodology's mathematical and algorithmic components. It covers, among many others, the visualization of multidimensional lines, minimum distances, planes, hyperplanes, and clusters of "near" planes. The last chapter explains in a non-technical way the methodology's application to visual and automatic data mining. The principles of the latter, along with guidelines, strategies and algorithms are illustrated in detail on real high-dimensional datasets.