Download or read book Geometrical Methods in Congruence Modular Algebras written by Heinz Peter Gumm and published by American Mathematical Soc.. This book was released on 1983 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt: We develop a geometric approach to algebras in congruence modular varieties. The idea of coordination of lines in affine geometry finds an almost perfect analog in the coordination of algebras. The geometry is the congruence class geometry, i.e. the subspaces are the blocks of congruence relations.
Download or read book Elementary College Geometry written by Henry Africk and published by . This book was released on 2004 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Computational Line Geometry written by Helmut Pottmann and published by Springer Science & Business Media. This book was released on 2001-06-20 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: " A unique and fascinating blend, which is shown to be useful for a variety of applications, including robotics, geometrical optics, computer animation, and geometric design. The contents of the book are visualized by a wealth of carefully chosen illustrations, making the book a shear pleasure to read, or even to just browse in." Mathematical Reviews
Download or read book A Course of Differential Geometry written by John Edward Campbell and published by . This book was released on 1926 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Encyclop dia Britannica written by Hugh Chisholm and published by . This book was released on 1910 with total page 998 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Library of Congress Subject Headings written by Library of Congress and published by . This book was released on 2011 with total page 1698 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Encyclopaedia Britannica Fra to Har written by and published by . This book was released on 1910 with total page 986 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Principles of Optics written by Max Born and published by CUP Archive. This book was released on 2000-02-28 with total page 996 pages. Available in PDF, EPUB and Kindle. Book excerpt: Principles of Optics is one of the classic science books of the twentieth century, and probably the most influential book in optics published in the past 40 years. The new edition is the first ever thoroughly revised and expanded edition of this standard text. Among the new material, much of which is not available in any other optics text, is a section on the CAT scan (computerized axial tomography), which has revolutionized medical diagnostics. The book also includes a new chapter on scattering from inhomogeneous media which provides a comprehensive treatment of the theory of scattering of scalar as well as of electromagnetic waves, including the Born series and the Rytov series. The chapter also presents an account of the principles of diffraction tomography - a refinement of the CAT scan - to which Emil Wolf, one of the authors, has made a basic contribution by formulating in 1969 what is generally regarded to be the basic theorem in this field. The chapter also includes an account of scattering from periodic potentials and its connection to the classic subject of determining the structure of crystals from X-ray diffraction experiments, including accounts of von Laue equations, Bragg's law, the Ewald sphere of reflection and the Ewald limiting sphere, both generalized to continuous media. These topics, although originally introduced in connection with the theory of X-ray diffraction by crystals, have since become of considerable relevance to optics, for example in connection with deep holograms. Other new topics covered in this new edition include interference with broad-band light, which introduces the reader to an important phenomenon discovered relatively recently by Emil Wolf, namely the generation of shifts of spectral lines and other modifications of spectra of radiated fields due to the state of coherence of a source. There is also a section on the so-called Rayleigh-Sommerfield diffraction theory which, in recent times, has been finding increasing popularity among optical scientists. There are also several new appendices, including one on energy conservation in scalar wavefields, which is seldom discussed in books on optics. The new edition of this standard reference will continue to be invaluable to advanced undergraduates, graduate students and researchers working in most areas of optics.
Download or read book International Catalogue of Scientific Literature written by and published by . This book was released on 1907 with total page 2040 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Subject Headings Used in the Dictionary Catalogs of the Library of Congress from 1897 Through December 1955 written by Library of Congress. Subject Cataloging Division and published by Washington : Library of Congress, Processing Department, Subject Cataloging Division. This book was released on 1957 with total page 1366 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Library of Congress Subject Headings written by Library of Congress. Office for Subject Cataloging Policy and published by . This book was released on 1992 with total page 1360 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book International Catalogue of Scientific Literature 1901 1914 written by and published by . This book was released on 1914 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Geometry Basics Grades 5 8 written by Schyrlet Cameron and published by Mark Twain Media. This book was released on 2016-01-04 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry Basics for grades 5 to 8 targets the basic geometry concepts students need to understand and perform operations involved in higher-level math. In this standards-based series, students are given practice with lines, angles, circles, perimeter, area, volume, two-dimensional figures, and three-dimensional figures. Mark Twain Media Publishing Company specializes in providing engaging supplemental books and decorative resources to complement middle- and upper-grade classrooms. Designed by leading educators, this product line covers a range of subjects including math, science, language arts, social studies, history, government, fine arts, and character.
Download or read book New Foundations for Physical Geometry written by Tim Maudlin and published by OUP Oxford. This book was released on 2014-03-06 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topology is the mathematical study of the most basic geometrical structure of a space. Mathematical physics uses topological spaces as the formal means for describing physical space and time. This book proposes a completely new mathematical structure for describing geometrical notions such as continuity, connectedness, boundaries of sets, and so on, in order to provide a better mathematical tool for understanding space-time. This is the initial volume in a two-volume set, the first of which develops the mathematical structure and the second of which applies it to classical and Relativistic physics. The book begins with a brief historical review of the development of mathematics as it relates to geometry, and an overview of standard topology. The new theory, the Theory of Linear Structures, is presented and compared to standard topology. The Theory of Linear Structures replaces the foundational notion of standard topology, the open set, with the notion of a continuous line. Axioms for the Theory of Linear Structures are laid down, and definitions of other geometrical notions developed in those terms. Various novel geometrical properties, such as a space being intrinsically directed, are defined using these resources. Applications of the theory to discrete spaces (where the standard theory of open sets gets little purchase) are particularly noted. The mathematics is developed up through homotopy theory and compactness, along with ways to represent both affine (straight line) and metrical structure.
Download or read book A History of Geometrical Methods written by Julian Lowell Coolidge and published by Courier Corporation. This book was released on 2013-02-27 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Full and authoritative, this history of the techniques for dealing with geometric questions begins with synthetic geometry and its origins in Babylonian and Egyptian mathematics; reviews the contributions of China, Japan, India, and Greece; and discusses the non-Euclidean geometries. Subsequent sections cover algebraic geometry, starting with the precursors and advancing to the great awakening with Descartes; and differential geometry, from the early work of Huygens and Newton to projective and absolute differential geometry. The author's emphasis on proofs and notations, his comparisons between older and newer methods, and his references to over 600 primary and secondary sources make this book an invaluable reference. 1940 edition.
Download or read book Geometry and Chronometry in Philosophical Perspective written by Adolf Grunbaum and published by U of Minnesota Press. This book was released on 1968-06-01 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry and Chronometry in Philosophical Perspective was first published in 1968. Minnesota Archive Editions uses digital technology to make long-unavailable books once again accessible, and are published unaltered from the original University of Minnesota Press editions. In this volume Professor Grünbaum substantially extends and comments upon his essay "Geometry, Chronometry, and Empiricism," which was first published in Volume III of the Minnesota Studies in the Philosophy of Science. Commenting on the essay when it first appeared J. J. C. Smart wrote in Mind (England): "In my opinion Adolf Grünbaum's paper ... supersedes nearly all that has been written on the logical status of physical geometry and chronometry." The full text of the essay is given here with the author's extension of it and his discussion of some of the critical comment it has evoked, particularly, a critique published by Hilary Putnam. Adolph Grünbaum is Andrew Mellon Professor of Philosophy at the University of Pittsburgh and the current president of the Philosophy of Science Association.
Download or read book College Geometry written by David C. Kay and published by CRC Press. This book was released on 2011-06-24 with total page 655 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for mathematics majors and other students who intend to teach mathematics at the secondary school level, College Geometry: A Unified Development unifies the three classical geometries within an axiomatic framework. The author develops the axioms to include Euclidean, elliptic, and hyperbolic geometry, showing how geometry has real and far-reaching implications. He approaches every topic as a fresh, new concept and carefully defines and explains geometric principles. The book begins with elementary ideas about points, lines, and distance, gradually introducing more advanced concepts such as congruent triangles and geometric inequalities. At the core of the text, the author simultaneously develops the classical formulas for spherical and hyperbolic geometry within the axiomatic framework. He explains how the trigonometry of the right triangle, including the Pythagorean theorem, is developed for classical non-Euclidean geometries. Previously accessible only to advanced or graduate students, this material is presented at an elementary level. The book also explores other important concepts of modern geometry, including affine transformations and circular inversion. Through clear explanations and numerous examples and problems, this text shows step-by-step how fundamental geometric ideas are connected to advanced geometry. It represents the first step toward future study of Riemannian geometry, Einstein’s relativity, and theories of cosmology.
