The Method of Coordinates

The Method of Coordinates PDF Author: I. M. Gelfand
Publisher: Courier Corporation
ISBN: 9780486425658
Category : Mathematics
Languages : en
Pages : 82

Book Description
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.

Method of Coordinates

Method of Coordinates PDF Author: A. S. Smogorzhevskiĭ
Publisher:
ISBN:
Category : Coordinates
Languages : en
Pages : 56

Book Description

Functions and Graphs

Functions and Graphs PDF Author: I. M. Gelfand
Publisher: Courier Corporation
ISBN: 0486425649
Category : Mathematics
Languages : en
Pages : 116

Book Description
This volume presents students with problems and exercises designed to illuminate the properties of functions and graphs. The 1st part of the book employs simple functions to analyze the fundamental methods of constructing graphs. The 2nd half deals with more complicated and refined questions concerning linear functions, quadratic trinomials, linear fractional functions, power functions, and rational functions. 1969 edition.

Parallel Coordinates

Parallel Coordinates PDF Author: Alfred Inselberg
Publisher: Springer Science & Business Media
ISBN: 0387686282
Category : Mathematics
Languages : en
Pages : 571

Book Description
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.

Flux Coordinates and Magnetic Field Structure

Flux Coordinates and Magnetic Field Structure PDF Author: William D. D'haeseleer
Publisher: Springer Science & Business Media
ISBN: 364275595X
Category : Science
Languages : en
Pages : 250

Book Description
Flux Coordinates and Magnetic Field Structure gives a systematic and rigorous presentation of the mathematical framework and principles underlying the description of magnetically confined fusion plasmas. After a brief treatment of vector algebra in curvilinear coordinate systems the book introduces concepts such as flux surfaces, rotational transforms, and magnetic differential equations. The various specific types of coordinate system are dealt with in detail. Researchers and advanced students in plasma physics, electromagnetics, and mathematical physics will greatly benefit from this useful guide and reference book.

Elements of Photogrammetry with Application in GIS, Fourth Edition

Elements of Photogrammetry with Application in GIS, Fourth Edition PDF Author: Paul R. Wolf
Publisher: McGraw Hill Professional
ISBN: 007176111X
Category : Technology & Engineering
Languages : en
Pages : 691

Book Description
The definitive guide to photogrammetry--fully updated Thoroughly revised to cover the latest technological advances in the field, Elements of Photogrammetry with Applications in GIS, Fourth Edition, provides complete details on the foundational principles of photogrammetry as well as important advanced concepts. Significant changes in the instruments and procedures used in modern photogrammetry, including laser scanning, are discussed. Example problems clarify computational procedures and extensive photographs and diagrams illustrate the material presented in this comprehensive resource. Coverage includes: Principles of photography and imaging Cameras and other imaging devices Image measurements and refinements Object space coordinate systems Vertical photographs Stereoscopic viewing Stereoscopic parallax Stereoscopic plotting instruments Laser scanning systems Elementary methods of planimetric mapping for GIS Titled and oblique photographs Introduction to analytical photogrammetry Topographic mapping and spatial data collection Fundamental principles of digital image processing Photogrammetric applications in GIS Control for aerial photogrammetry Aerotriangulation Project planning Terrestrial and close-range photogrammetry

Basic GIS Coordinates

Basic GIS Coordinates PDF Author: Jan Van Sickle
Publisher: CRC Press
ISBN: 1351650718
Category : Technology & Engineering
Languages : en
Pages : 212

Book Description
Coordinates are integral building tools for GIS, cartography, surveying and are vital to the many applications we use today such as smart phones, car navigation systems and driverless cars. Basic GIS Coordinates, Third Edition grants readers with a solid understanding of coordinates and coordinate systems and how they operate as well as valuable insight into what causes them to malfunction. This practical and comprehensive guide lays out the foundation of a coordinate system and the implications behind building it as it elaborates on heights, two coordinate systems, and the rectangular system.The previous editions described horizontal and vertical datums such as the North American Datum 1983 (NAD 83) and the North American Vertical Datum 1988 (NAVD 88). Both will be replaced in 2022 or thereabouts. The National Geodetic Survey (NGS) plans to replace NAD83 with a new semi-dynamic terrestrial reference frame for North America and a new vertical datum will replace NAVD88. The foundation of the new vertical datum will be a temporally tracked gravimetric geoid. The interim period is intended to smooth the transition to the new paradigm and this new edition explores the changes and provides assistance in understanding them.

Lectures on Linear Algebra

Lectures on Linear Algebra PDF Author: I. M. Gelfand
Publisher: Courier Corporation
ISBN: 9780486660820
Category : Mathematics
Languages : en
Pages : 212

Book Description
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.
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