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Space Mathematics

Space Mathematics PDF Author: Bernice Kastner
Publisher: Courier Corporation
ISBN: 0486320839
Category : Science
Languages : en
Pages : 194

Book Description
Created by NASA for high school students interested in space science, this collection of worked problems covers a broad range of subjects, including mathematical aspects of NASA missions, computation and measurement, algebra, geometry, probability and statistics, exponential and logarithmic functions, trigonometry, matrix algebra, conic sections, and calculus. In addition to enhancing mathematical knowledge and skills, these problems promote an appreciation of aerospace technology and offer valuable insights into the practical uses of secondary school mathematics by professional scientists and engineers. Geared toward high school students and teachers, this volume also serves as a fine review for undergraduate science and engineering majors. Numerous figures illuminate the text, and an appendix explores the advanced topic of gravitational forces and the conic section trajectories.

Space Mathematics

Space Mathematics PDF Author: Bernice Kastner
Publisher: Courier Corporation
ISBN: 0486320839
Category : Science
Languages : en
Pages : 194

Book Description
Created by NASA for high school students interested in space science, this collection of worked problems covers a broad range of subjects, including mathematical aspects of NASA missions, computation and measurement, algebra, geometry, probability and statistics, exponential and logarithmic functions, trigonometry, matrix algebra, conic sections, and calculus. In addition to enhancing mathematical knowledge and skills, these problems promote an appreciation of aerospace technology and offer valuable insights into the practical uses of secondary school mathematics by professional scientists and engineers. Geared toward high school students and teachers, this volume also serves as a fine review for undergraduate science and engineering majors. Numerous figures illuminate the text, and an appendix explores the advanced topic of gravitational forces and the conic section trajectories.

A Vector Space Approach to Geometry

A Vector Space Approach to Geometry PDF Author: Melvin Hausner
Publisher: Courier Dover Publications
ISBN: 0486835391
Category : Mathematics
Languages : en
Pages : 417

Book Description
A fascinating exploration of the correlation between geometry and linear algebra, this text portrays the former as a subject better understood by the use and development of the latter rather than as an independent field. The treatment offers elementary explanations of the role of geometry in other branches of math and science — including physics, analysis, and group theory — as well as its value in understanding probability, determinant theory, and function spaces. Outstanding features of this volume include discussions of systematic geometric motivations in vector space theory and matrix theory; the use of the center of mass in geometry, with an introduction to barycentric coordinates; axiomatic development of determinants in a chapter dealing with area and volume; and a careful consideration of the particle problem. Students and other mathematically inclined readers will find that this inquiry into the interplay between geometry and other areas offers an enriched appreciation of both subjects.

Spatial Mathematics

Spatial Mathematics PDF Author: Sandra Lach Arlinghaus
Publisher: CRC Press
ISBN: 146650532X
Category : Mathematics
Languages : en
Pages : 302

Book Description
In terms of statistics, GIS offers many connections. With GIS, data are gathered, displayed, summarized, examined, and interpreted to discover patterns. Spatial Mathematics: Theory and Practice through Mapping uses GIS as a platform to teach mathematical concepts and skills through visualization of numbers. It examines theory and practice from disparate academic disciplines such as geography, mathematics, physics, and general social science. This approach allows students to grapple with biodiversity, crime, natural hazards, climate, energy, water, and other relevant real-world issues of the twenty-first century. Includes QR Codes Linked to Animated Maps, a Mapping Activity Site, or to an Interactive Webpage, Creating an Interactive Resource That Stays Relevant The book integrates competing philosophical views of the world: synthesis and analysis. These two approaches yield different results and employ different tools. This book considers both approaches to looking at real-world issues that have mathematics as a critical, but often unseen, component. This approach shows readers how to use mathematics to consider the broad problem at hand and to explore diverse realms in the worlds of geography and mathematics and in their interface. A truly interdisciplinary text, the book bridges the worlds of mathematics and geography and demonstrates how they are inextricably linked. It takes advantage of the convergence in citizen science, STEM education, and mapping that help readers become critical consumers of data—understanding its content, quality, limitations, and benefits. It provides thorough grounding in the analytical, statistical, and computational skills required for working in any field that uses geospatial technologies—not just surveyors and remote sensing analysts.

The Shape of Space

The Shape of Space PDF Author: Jeffrey R. Weeks
Publisher: CRC Press
ISBN: 0203912667
Category : Mathematics
Languages : en
Pages : 405

Book Description
Maintaining the standard of excellence set by the previous edition, this textbook covers the basic geometry of two- and three-dimensional spaces Written by a master expositor, leading researcher in the field, and MacArthur Fellow, it includes experiments to determine the true shape of the universe and contains illustrated examples and engaging exercises that teach mind-expanding ideas in an intuitive and informal way. Bridging the gap from geometry to the latest work in observational cosmology, the book illustrates the connection between geometry and the behavior of the physical universe and explains how radiation remaining from the big bang may reveal the actual shape of the universe.

A Hilbert Space Problem Book

A Hilbert Space Problem Book PDF Author: P.R. Halmos
Publisher: Springer Science & Business Media
ISBN: 1468493302
Category : Mathematics
Languages : en
Pages : 385

Book Description
From the Preface: "This book was written for the active reader. The first part consists of problems, frequently preceded by definitions and motivation, and sometimes followed by corollaries and historical remarks... The second part, a very short one, consists of hints... The third part, the longest, consists of solutions: proofs, answers, or contructions, depending on the nature of the problem.... This is not an introduction to Hilbert space theory. Some knowledge of that subject is a prerequisite: at the very least, a study of the elements of Hilbert space theory should proceed concurrently with the reading of this book."

The 23rd Cycle

The 23rd Cycle PDF Author: Sten Odenwald
Publisher: Columbia University Press
ISBN: 0231505930
Category : Science
Languages : en
Pages : 237

Book Description
On March 13, 1989, the entire Quebec power grid collapsed, automatic garage doors in California suburbs began to open and close without apparent reason, and microchip production came to a halt in the Northeast; in space, communications satellites had to be manually repointed after flipping upside down, and pressure readings on hydrogen tank supplies on board the Space Shuttle Discovery peaked, causing NASA to consider aborting the mission. What was the cause of all these seemingly disparate events? Sten Odenwald gives convincing evidence of the mischievous—and potentially catastrophic—power of solar storms and the far-reaching effects of the coming "big one" brewing in the sun and estimated to culminate in the twenty-third cycle in the year 2001 and beyond. When the sun undergoes its cyclic "solar maximum," a time when fierce solar flares and storms erupt, fantastic auroras will be seen around the world. But the breathtaking spectacles will herald a potentially disastrous chain of events that merit greater preparation than Y2K. Is anyone listening? The 23rd Cycle traces the previously untold history of solar storms and the ways in which they were perceived by astronomers—and even occasionally covered up by satellite companies. Punctuated with an insert containing dramatic color images showing the erupting sun, the book also includes a history of the record of auroral sightings, accounts of communications blackouts from the twentieth century, a list of industries sensitive to solar storms, and information about radiation and health issues.

Space Mathematics

Space Mathematics PDF Author:
Publisher:
ISBN:
Category : Astronautics
Languages : en
Pages : 148

Book Description


Shapes, Space, and Symmetry

Shapes, Space, and Symmetry PDF Author: Alan Holden
Publisher: Courier Corporation
ISBN: 9780486268514
Category : Mathematics
Languages : en
Pages : 218

Book Description
Explains structure of nine regular solids and many semiregular solids and demonstrates how they can be used to explain mathematics. Instructions for cardboard models. Over 300 illustrations. 1971 edition.

Space mathematics, Part 1

Space mathematics, Part 1 PDF Author: John Barkley Rosser American Mathematical Society Cornell University
Publisher: American Mathematical Soc.
ISBN: 9780821897034
Category : Mathematics
Languages : en
Pages : 316

Book Description


Space Mathematics a Resource for Teachers Outlining Supplementary Space-related Problems in Mathematics

Space Mathematics a Resource for Teachers Outlining Supplementary Space-related Problems in Mathematics PDF Author: United States. National Aeronautics and Space Administration
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 144

Book Description