Interpreting Geometries

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INTERPRETING GEOMETRIES

Author : PUBLICATIONS DIVISION
Publisher : Publications Division Ministry of Information & Broadcasting
ISBN 13 : 935409659X
Total Pages : 378 pages
Book Rating : 4.3/5 (54 download)

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Book Synopsis INTERPRETING GEOMETRIES by : PUBLICATIONS DIVISION

Download or read book INTERPRETING GEOMETRIES written by PUBLICATIONS DIVISION and published by Publications Division Ministry of Information & Broadcasting. This book was released on with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has been conceived with the objective of providing a new insight into the floor designs of Rashtrapati Bhavan. It will help the readers appreciate the thoughts and ideas of the famous designers who enriched the aesthetics of this building. They will also gain a new perspective on geometry as an inherent part of the art and architecture.

Geometry of Lie Groups

Author : B. Rosenfeld
Publisher : Springer Science & Business Media
ISBN 13 : 147575325X
Total Pages : 414 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Geometry of Lie Groups by : B. Rosenfeld

Download or read book Geometry of Lie Groups written by B. Rosenfeld and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the result of many years of research in Non-Euclidean Geometries and Geometry of Lie groups, as well as teaching at Moscow State University (1947- 1949), Azerbaijan State University (Baku) (1950-1955), Kolomna Pedagogical Col lege (1955-1970), Moscow Pedagogical University (1971-1990), and Pennsylvania State University (1990-1995). My first books on Non-Euclidean Geometries and Geometry of Lie groups were written in Russian and published in Moscow: Non-Euclidean Geometries (1955) [Ro1] , Multidimensional Spaces (1966) [Ro2] , and Non-Euclidean Spaces (1969) [Ro3]. In [Ro1] I considered non-Euclidean geometries in the broad sense, as geometry of simple Lie groups, since classical non-Euclidean geometries, hyperbolic and elliptic, are geometries of simple Lie groups of classes Bn and D , and geometries of complex n and quaternionic Hermitian elliptic and hyperbolic spaces are geometries of simple Lie groups of classes An and en. [Ro1] contains an exposition of the geometry of classical real non-Euclidean spaces and their interpretations as hyperspheres with identified antipodal points in Euclidean or pseudo-Euclidean spaces, and in projective and conformal spaces. Numerous interpretations of various spaces different from our usual space allow us, like stereoscopic vision, to see many traits of these spaces absent in the usual space.

Lectures on Classical Differential Geometry

Author : Dirk J. Struik
Publisher : Courier Corporation
ISBN 13 : 0486138186
Total Pages : 254 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Lectures on Classical Differential Geometry by : Dirk J. Struik

Download or read book Lectures on Classical Differential Geometry written by Dirk J. Struik and published by Courier Corporation. This book was released on 2012-04-26 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elementary, yet authoritative and scholarly, this book offers an excellent brief introduction to the classical theory of differential geometry. It is aimed at advanced undergraduate and graduate students who will find it not only highly readable but replete with illustrations carefully selected to help stimulate the student's visual understanding of geometry. The text features an abundance of problems, most of which are simple enough for class use, and often convey an interesting geometrical fact. A selection of more difficult problems has been included to challenge the ambitious student. Written by a noted mathematician and historian of mathematics, this volume presents the fundamental conceptions of the theory of curves and surfaces and applies them to a number of examples. Dr. Struik has enhanced the treatment with copious historical, biographical, and bibliographical references that place the theory in context and encourage the student to consult original sources and discover additional important ideas there. For this second edition, Professor Struik made some corrections and added an appendix with a sketch of the application of Cartan's method of Pfaffians to curve and surface theory. The result was to further increase the merit of this stimulating, thought-provoking text — ideal for classroom use, but also perfectly suited for self-study. In this attractive, inexpensive paperback edition, it belongs in the library of any mathematician or student of mathematics interested in differential geometry.

Interpreting Subsurface Seismic Data

Author : Rebecca Bell
Publisher : Elsevier
ISBN 13 : 0128196920
Total Pages : 384 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Interpreting Subsurface Seismic Data by : Rebecca Bell

Download or read book Interpreting Subsurface Seismic Data written by Rebecca Bell and published by Elsevier. This book was released on 2022-05-27 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interpreting Subsurface Seismic Data presents recent advances in methodologies for seismic imaging and interpretation across multiple applications in geophysics including exploration, marine geology, and hazards. It provides foundational information for context, as well as focussing on recent advances and future challenges. It offers detailed methodologies for interpreting the increasingly vast quantity of data extracted from seismic volumes. Organized into three parts covering foundational context, case studies, and future considerations, Interpreting Subsurface Seismic Data offers a holistic view of seismic data interpretation to ensure understanding while also applying cutting-edge technologies. This view makes the book valuable to researchers and students in a variety of geoscience disciplines, including geophysics, hydrocarbon exploration, applied geology, and hazards. - Presents advanced seismic detection workflows utilized cutting-edge technologies - Integrates geophysics and geology for a variety of applications, using detailed examples - Provides an overview of recent advances in methodologies related to seismic imaging and interpretation

Interpreting the Quantum World

Author : Jeffrey Bub
Publisher : Cambridge University Press
ISBN 13 : 9780521653862
Total Pages : 312 pages
Book Rating : 4.6/5 (538 download)

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Book Synopsis Interpreting the Quantum World by : Jeffrey Bub

Download or read book Interpreting the Quantum World written by Jeffrey Bub and published by Cambridge University Press. This book was released on 1999-08-26 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Philosophy of physics title by highly regarded author, fully revised for this paperback edition.

Elements of Algebra, Geometry and Mensuration, Reading Working Drawings, Measuring Instruments, Precision Measuring Instruments, General Appliances and Processes, Elementary Mechanics, Hydrostatics, Pneumatics, Geometry and Trigonometry, Natural Sines, Cosines, Tangents, and Cotangents, Table of Powers and Roots

Download Elements of Algebra, Geometry and Mensuration, Reading Working Drawings, Measuring Instruments, Precision Measuring Instruments, General Appliances and Processes, Elementary Mechanics, Hydrostatics, Pneumatics, Geometry and Trigonometry, Natural Sines, Cosines, Tangents, and Cotangents, Table of Powers and Roots PDF Online Free

Author :
Publisher :
ISBN 13 :
Total Pages : 808 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Elements of Algebra, Geometry and Mensuration, Reading Working Drawings, Measuring Instruments, Precision Measuring Instruments, General Appliances and Processes, Elementary Mechanics, Hydrostatics, Pneumatics, Geometry and Trigonometry, Natural Sines, Cosines, Tangents, and Cotangents, Table of Powers and Roots by :

Download or read book Elements of Algebra, Geometry and Mensuration, Reading Working Drawings, Measuring Instruments, Precision Measuring Instruments, General Appliances and Processes, Elementary Mechanics, Hydrostatics, Pneumatics, Geometry and Trigonometry, Natural Sines, Cosines, Tangents, and Cotangents, Table of Powers and Roots written by and published by . This book was released on 1922 with total page 808 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Euclidean and Non-Euclidean Geometries

Author : Marvin J. Greenberg
Publisher : Macmillan
ISBN 13 : 9780716724469
Total Pages : 512 pages
Book Rating : 4.7/5 (244 download)

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Book Synopsis Euclidean and Non-Euclidean Geometries by : Marvin J. Greenberg

Download or read book Euclidean and Non-Euclidean Geometries written by Marvin J. Greenberg and published by Macmillan. This book was released on 1993-07-15 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic text provides overview of both classic and hyperbolic geometries, placing the work of key mathematicians/ philosophers in historical context. Coverage includes geometric transformations, models of the hyperbolic planes, and pseudospheres.

Geometry: The Line and the Circle

Author : Maureen T. Carroll
Publisher : American Mathematical Soc.
ISBN 13 : 1470448432
Total Pages : 502 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Geometry: The Line and the Circle by : Maureen T. Carroll

Download or read book Geometry: The Line and the Circle written by Maureen T. Carroll and published by American Mathematical Soc.. This book was released on 2018-12-20 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry: The Line and the Circle is an undergraduate text with a strong narrative that is written at the appropriate level of rigor for an upper-level survey or axiomatic course in geometry. Starting with Euclid's Elements, the book connects topics in Euclidean and non-Euclidean geometry in an intentional and meaningful way, with historical context. The line and the circle are the principal characters driving the narrative. In every geometry considered—which include spherical, hyperbolic, and taxicab, as well as finite affine and projective geometries—these two objects are analyzed and highlighted. Along the way, the reader contemplates fundamental questions such as: What is a straight line? What does parallel mean? What is distance? What is area? There is a strong focus on axiomatic structures throughout the text. While Euclid is a constant inspiration and the Elements is repeatedly revisited with substantial coverage of Books I, II, III, IV, and VI, non-Euclidean geometries are introduced very early to give the reader perspective on questions of axiomatics. Rounding out the thorough coverage of axiomatics are concluding chapters on transformations and constructibility. The book is compulsively readable with great attention paid to the historical narrative and hundreds of attractive problems.

The Geometry of Information Retrieval

Author : C. J. van Rijsbergen
Publisher : Cambridge University Press
ISBN 13 : 9780521838054
Total Pages : 178 pages
Book Rating : 4.8/5 (38 download)

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Book Synopsis The Geometry of Information Retrieval by : C. J. van Rijsbergen

Download or read book The Geometry of Information Retrieval written by C. J. van Rijsbergen and published by Cambridge University Press. This book was released on 2004-08-12 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: An important work on a new framework for information retrieval: implications for artificial intelligence, natural language processing.

Interpreting Newton

Author : Andrew Janiak
Publisher : Cambridge University Press
ISBN 13 : 0521766184
Total Pages : 451 pages
Book Rating : 4.5/5 (217 download)

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Book Synopsis Interpreting Newton by : Andrew Janiak

Download or read book Interpreting Newton written by Andrew Janiak and published by Cambridge University Press. This book was released on 2012-01-12 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: Essays by leading scholars on Isaac Newton and his philosophical interlocutors and critics, discussing a wide range of topics.

Nietzsche as Philosopher

Author : Arthur C. Danto
Publisher : Columbia University Press
ISBN 13 : 0231509383
Total Pages : 412 pages
Book Rating : 4.2/5 (315 download)

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Book Synopsis Nietzsche as Philosopher by : Arthur C. Danto

Download or read book Nietzsche as Philosopher written by Arthur C. Danto and published by Columbia University Press. This book was released on 2005-03-02 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: Few philosophers are as widely read or as widely misunderstood as Friedrich Nietzsche. When Danto's classic study was first published in 1965, many regarded Nietzsche as a brilliant but somewhat erratic thinker. Danto, however, presented a radically different picture, arguing that Nietzsche offered a systematic and coherent philosophy that anticipated many of the questions that define contemporary philosophy. Danto's clear and insightful commentaries helped canonize Nietzsche as a philosopher and continue to illuminate subtleties in Nietzsche's work as well as his immense contributions to the philosophies of science, language, and logic. This new edition, which includes five additional essays, not only further enhances our understanding of Nietzsche's philosophy; it responds to the misunderstandings that continue to muddy his intellectual reputation. Even today, Nietzsche is seen as everything from a precursor of feminism and deconstruction to a prophetic writer and spokesperson for disgruntled teenage boys. As Danto points out in his preface, Nietzsche's writings have purportedly inspired recent acts of violence and school shootings. Danto counters these misreadings by elaborating an anti-Nietzschian philosophy from within Nietzsche's own philosophy "in the hope of disarming the rabid Nietzsche and neutralizing the vivid frightening images that have inspired sociopaths for over a century." The essays also consider specific works by Nietzsche, including Human, All Too Human and The Genealogy of Morals, as well as the philosopher's artistic metaphysics and semantical nihilism.

International Perspectives on the Teaching and Learning of Geometry in Secondary Schools

Author : Patricio Herbst
Publisher : Springer
ISBN 13 : 331977476X
Total Pages : 383 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis International Perspectives on the Teaching and Learning of Geometry in Secondary Schools by : Patricio Herbst

Download or read book International Perspectives on the Teaching and Learning of Geometry in Secondary Schools written by Patricio Herbst and published by Springer. This book was released on 2018-04-27 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents current perspectives on theoretical and empirical issues related to the teaching and learning of geometry at secondary schools. It contains chapters contributing to three main areas. A first set of chapters examines mathematical, epistemological, and curricular perspectives. A second set of chapters presents studies on geometry instruction and teacher knowledge, and a third set of chapters offers studies on geometry thinking and learning. Specific research topics addressed also include teaching practice, learning trajectories, learning difficulties, technological resources, instructional design, assessments, textbook analyses, and teacher education in geometry. Geometry remains an essential and critical topic in school mathematics. As they learn geometry, students develop essential mathematical thinking and visualization skills and learn a language that helps them relate to and interact with the physical world. Geometry has traditionally been included as a subject of study in secondary mathematics curricula, but it has also featured as a resource in out-of-school problem solving, and has been connected to various human activities such as sports, games, and artwork. Furthermore, geometry often plays a role in teacher preparation, undergraduate mathematics, and at the workplace. New technologies, including dynamic geometry software, computer-assisted design software, and geometric positioning systems, have provided more resources for teachers to design environments and tasks in which students can learn and use geometry. In this context, research on the teaching and learning of geometry will continue to be a key element on the research agendas of mathematics educators, as researchers continue to look for ways to enhance student learning and to understand student thinking and teachers’ decision making.

Issues in Biological, Biochemical, and Evolutionary Sciences Research: 2011 Edition

Author :
Publisher : ScholarlyEditions
ISBN 13 : 1464963711
Total Pages : 2848 pages
Book Rating : 4.4/5 (649 download)

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Book Synopsis Issues in Biological, Biochemical, and Evolutionary Sciences Research: 2011 Edition by :

Download or read book Issues in Biological, Biochemical, and Evolutionary Sciences Research: 2011 Edition written by and published by ScholarlyEditions. This book was released on 2012-01-09 with total page 2848 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues in Biological, Biochemical, and Evolutionary Sciences Research: 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Biological, Biochemical, and Evolutionary Sciences Research. The editors have built Issues in Biological, Biochemical, and Evolutionary Sciences Research: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Biological, Biochemical, and Evolutionary Sciences Research in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Biological, Biochemical, and Evolutionary Sciences Research: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Revolutions of Geometry

Author : Michael L. O'Leary
Publisher : John Wiley & Sons
ISBN 13 : 047059179X
Total Pages : 608 pages
Book Rating : 4.4/5 (75 download)

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Book Synopsis Revolutions of Geometry by : Michael L. O'Leary

Download or read book Revolutions of Geometry written by Michael L. O'Leary and published by John Wiley & Sons. This book was released on 2010-02-22 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: Guides readers through the development of geometry and basic proof writing using a historical approach to the topic In an effort to fully appreciate the logic and structure of geometric proofs, Revolutions of Geometry places proofs into the context of geometry's history, helping readers to understand that proof writing is crucial to the job of a mathematician. Written for students and educators of mathematics alike, the book guides readers through the rich history and influential works, from ancient times to the present, behind the development of geometry. As a result, readers are successfully equipped with the necessary logic to develop a full understanding of geometric theorems. Following a presentation of the geometry of ancient Egypt, Babylon, and China, the author addresses mathematical philosophy and logic within the context of works by Thales, Plato, and Aristotle. Next, the mathematics of the classical Greeks is discussed, incorporating the teachings of Pythagoras and his followers along with an overview of lower-level geometry using Euclid's Elements. Subsequent chapters explore the work of Archimedes, Viete's revolutionary contributions to algebra, Descartes' merging of algebra and geometry to solve the Pappus problem, and Desargues' development of projective geometry. The author also supplies an excursion into non-Euclidean geometry, including the three hypotheses of Saccheri and Lambert and the near simultaneous discoveries of Lobachevski and Bolyai. Finally, modern geometry is addressed within the study of manifolds and elliptic geometry inspired by Riemann's work, Poncelet's return to projective geometry, and Klein's use of group theory to characterize different geometries. The book promotes the belief that in order to learn how to write proofs, one needs to read finished proofs, studying both their logic and grammar. Each chapter features a concise introduction to the presented topic, and chapter sections conclude with exercises that are designed to reinforce the material and provide readers with ample practice in writing proofs. In addition, the overall presentation of topics in the book is in chronological order, helping readers appreciate the relevance of geometry within the historical development of mathematics. Well organized and clearly written, Revolutions of Geometry is a valuable book for courses on modern geometry and the history of mathematics at the upper-undergraduate level. It is also a valuable reference for educators in the field of mathematics.

The Mathematical Papers of Sir William Rowan Hamilton: Volume 4, Geometry, Analysis, Astronomy, Probability and Finite Differences, Miscellaneous

Download The Mathematical Papers of Sir William Rowan Hamilton: Volume 4, Geometry, Analysis, Astronomy, Probability and Finite Differences, Miscellaneous PDF Online Free

Author : William Rowan Hamilton
Publisher : Cambridge University Press
ISBN 13 : 9780521592161
Total Pages : 866 pages
Book Rating : 4.5/5 (921 download)

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Book Synopsis The Mathematical Papers of Sir William Rowan Hamilton: Volume 4, Geometry, Analysis, Astronomy, Probability and Finite Differences, Miscellaneous by : William Rowan Hamilton

Download or read book The Mathematical Papers of Sir William Rowan Hamilton: Volume 4, Geometry, Analysis, Astronomy, Probability and Finite Differences, Miscellaneous written by William Rowan Hamilton and published by Cambridge University Press. This book was released on 2000-12-07 with total page 866 pages. Available in PDF, EPUB and Kindle. Book excerpt: Final part of Hamilton's Collected Papers; also contains a CD of all four volumes.

Geometry from Euclid to Knots

Author : Saul Stahl
Publisher : Courier Corporation
ISBN 13 : 0486134989
Total Pages : 481 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Geometry from Euclid to Knots by : Saul Stahl

Download or read book Geometry from Euclid to Knots written by Saul Stahl and published by Courier Corporation. This book was released on 2012-05-23 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides a historical perspective on plane geometry and covers non-neutral Euclidean geometry, circles and regular polygons, projective geometry, symmetries, inversions, informal topology, and more. Includes 1,000 practice problems. Solutions available. 2003 edition.

Differential Geometry and General Relativity

Author : Canbin Liang
Publisher : Springer Nature
ISBN 13 : 9819900220
Total Pages : 566 pages
Book Rating : 4.8/5 (199 download)

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Book Synopsis Differential Geometry and General Relativity by : Canbin Liang

Download or read book Differential Geometry and General Relativity written by Canbin Liang and published by Springer Nature. This book was released on 2023-08-28 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, the first in a three-volume set, explains general relativity using the mathematical tool of differential geometry. The book consists of ten chapters, the first five of which introduce differential geometry, which is widely applicable even outside the field of relativity. Chapter 6 analyzes special relativity using geometric language. In turn, the last four chapters introduce readers to the fundamentals of general relativity. Intended for beginners, this volume includes numerous exercises and worked-out example in each chapter to facilitate the learning experience. Chiefly written for graduate-level courses, the book’s content will also benefit upper-level undergraduate students, and can be used as a reference guide for practicing theoretical physicists.