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Author: William Benjamin Smith Publisher: Forgotten Books ISBN: 9780484451482 Category : Mathematics Languages : en Pages : 158
Book Description
Excerpt from Introductory Modern Geometry of Point, Ray, and Circle, Vol. 1 D. Space is continuous. There are no gaps nor holes in it, where it would be impossible for a body to be. A body may move about in Space anywhere and everywhere, ever so much or ever so little. Space is itself simply where a body may be, and a body may be anywhere. E. Space is triply extended, or has three dimensions. This important fact needs careful explication. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author: William Benjamin Smith Publisher: Forgotten Books ISBN: 9780484451482 Category : Mathematics Languages : en Pages : 158
Book Description
Excerpt from Introductory Modern Geometry of Point, Ray, and Circle, Vol. 1 D. Space is continuous. There are no gaps nor holes in it, where it would be impossible for a body to be. A body may move about in Space anywhere and everywhere, ever so much or ever so little. Space is itself simply where a body may be, and a body may be anywhere. E. Space is triply extended, or has three dimensions. This important fact needs careful explication. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author: I. M. Gelfand Publisher: Courier Corporation ISBN: 0486317137 Category : Mathematics Languages : en Pages : 116
Book Description
This text demonstrates the fundamentals of graph theory. The first part employs simple functions to analyze basics; second half deals with linear functions, quadratic trinomials, linear fractional functions, power functions, rational functions. 1969 edition.
Author: Robert B. Ash Publisher: Courier Corporation ISBN: 0486141454 Category : Technology & Engineering Languages : en Pages : 371
Book Description
DIVAnalysis of channel models and proof of coding theorems; study of specific coding systems; and study of statistical properties of information sources. Sixty problems, with solutions. Advanced undergraduate to graduate level. /div
Author: I. E. Leonard Publisher: John Wiley & Sons ISBN: 1118679148 Category : Mathematics Languages : en Pages : 501
Book Description
Features the classical themes of geometry with plentiful applications in mathematics, education, engineering, and science Accessible and reader-friendly, Classical Geometry: Euclidean, Transformational, Inversive, and Projective introduces readers to a valuable discipline that is crucial to understanding bothspatial relationships and logical reasoning. Focusing on the development of geometric intuitionwhile avoiding the axiomatic method, a problem solving approach is encouraged throughout. The book is strategically divided into three sections: Part One focuses on Euclidean geometry, which provides the foundation for the rest of the material covered throughout; Part Two discusses Euclidean transformations of the plane, as well as groups and their use in studying transformations; and Part Three covers inversive and projective geometry as natural extensions of Euclidean geometry. In addition to featuring real-world applications throughout, Classical Geometry: Euclidean, Transformational, Inversive, and Projective includes: Multiple entertaining and elegant geometry problems at the end of each section for every level of study Fully worked examples with exercises to facilitate comprehension and retention Unique topical coverage, such as the theorems of Ceva and Menalaus and their applications An approach that prepares readers for the art of logical reasoning, modeling, and proofs The book is an excellent textbook for courses in introductory geometry, elementary geometry, modern geometry, and history of mathematics at the undergraduate level for mathematics majors, as well as for engineering and secondary education majors. The book is also ideal for anyone who would like to learn the various applications of elementary geometry.
Author: W. R. Scott Publisher: Courier Corporation ISBN: 0486140164 Category : Mathematics Languages : en Pages : 516
Book Description
Here is clear, well-organized coverage of the most standard theorems, including isomorphism theorems, transformations and subgroups, direct sums, abelian groups, and more. This undergraduate-level text features more than 500 exercises.
Author: Theodore Frankel Publisher: Cambridge University Press ISBN: 1139505610 Category : Mathematics Languages : en Pages : 749
Book Description
This book provides a working knowledge of those parts of exterior differential forms, differential geometry, algebraic and differential topology, Lie groups, vector bundles and Chern forms that are essential for a deeper understanding of both classical and modern physics and engineering. Included are discussions of analytical and fluid dynamics, electromagnetism (in flat and curved space), thermodynamics, the Dirac operator and spinors, and gauge fields, including Yang–Mills, the Aharonov–Bohm effect, Berry phase and instanton winding numbers, quarks and quark model for mesons. Before discussing abstract notions of differential geometry, geometric intuition is developed through a rather extensive introduction to the study of surfaces in ordinary space. The book is ideal for graduate and advanced undergraduate students of physics, engineering or mathematics as a course text or for self study. This third edition includes an overview of Cartan's exterior differential forms, which previews many of the geometric concepts developed in the text.
Author: William Benjamin Smith
Author: William Benjamin Smith
Author: Macmillan Company
Author: Thomas Williams Bicknell
Author: 
Author: William Benjamin Smith
Author: I. M. Gelfand
Author: Robert B. Ash
Author: I. E. Leonard
Author: W. R. Scott
Author: Theodore Frankel