Advanced Geometry
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College Geometry
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Author : David C. Kay
language : en
Publisher: CRC Press
Release Date : 2011-06-24
College Geometry written by David C. Kay and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-24 with Mathematics categories.
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.
Advanced Engineering Mathematics
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Author : Dennis Zill
language : en
Publisher: Jones & Bartlett Learning
Release Date : 2011
Advanced Engineering Mathematics written by Dennis Zill and has been published by Jones & Bartlett Learning this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
Accompanying CD-ROM contains ... "a chapter on engineering statistics and probability / by N. Bali, M. Goyal, and C. Watkins."--CD-ROM label.
Methods Of Geometry
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Author : James T. Smith
language : en
Publisher: John Wiley & Sons
Release Date : 2011-03-01
Methods Of Geometry written by James T. Smith and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-01 with Mathematics categories.
A practical, accessible introduction to advanced geometryExceptionally well-written and filled with historical andbibliographic notes, Methods of Geometry presents a practical andproof-oriented approach. The author develops a wide range ofsubject areas at an intermediate level and explains how theoriesthat underlie many fields of advanced mathematics ultimately leadto applications in science and engineering. Foundations, basicEuclidean geometry, and transformations are discussed in detail andapplied to study advanced plane geometry, polyhedra, isometries,similarities, and symmetry. An excellent introduction to advancedconcepts as well as a reference to techniques for use inindependent study and research, Methods of Geometry alsofeatures: Ample exercises designed to promote effective problem-solvingstrategies Insight into novel uses of Euclidean geometry More than 300 figures accompanying definitions and proofs A comprehensive and annotated bibliography Appendices reviewing vector and matrix algebra, least upperbound principle, and equivalence relations An Instructor's Manual presenting detailed solutions to all theproblems in the book is available upon request from the Wileyeditorial department.
Multivariate Calculus And Geometry Concepts
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Author : Chirag Verma
language : en
Publisher: Educohack Press
Release Date : 2025-02-20
Multivariate Calculus And Geometry Concepts written by Chirag Verma and has been published by Educohack Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-20 with Science categories.
"Multivariate Calculus and Geometry Concepts" is a comprehensive textbook designed to provide students, researchers, and practitioners with a thorough understanding of fundamental concepts, techniques, and applications in multivariate calculus and geometry. Authored by experts, we offer a balanced blend of theoretical foundations, practical examples, and computational methods, making it suitable for both classroom instruction and self-study. We cover a wide range of topics, including partial derivatives, gradients, line and surface integrals, parametric equations, polar coordinates, conic sections, and differential forms. Each topic is presented clearly and concisely, with detailed explanations and illustrative examples to aid understanding. Our emphasis is on developing a conceptual understanding of key concepts and techniques, rather than rote memorization of formulas. We include numerous figures, diagrams, and geometric interpretations to help readers visualize abstract mathematical concepts and their real-world applications. Practical applications of multivariate calculus and geometry are highlighted throughout the book, with examples drawn from physics, engineering, computer graphics, and other fields. We demonstrate how these concepts are used to solve real-world problems and inspire readers to apply their knowledge in diverse areas. We discuss computational methods and numerical techniques used in multivariate calculus and geometry, such as numerical integration, optimization algorithms, and finite element methods. Programming exercises and computer simulations provide hands-on experience with implementing and applying these methods. Our supplementary resources include online tutorials, solution manuals, and interactive simulations, offering additional guidance, practice problems, and opportunities for further exploration and self-assessment. "Multivariate Calculus and Geometry Concepts" is suitable for undergraduate and graduate students in mathematics, engineering, physics, computer science, and related disciplines. It also serves as a valuable reference for researchers, educators, and professionals seeking a comprehensive overview of multivariate calculus and geometry and its applications in modern science and technology.
Invariant Algebras And Geometric Reasoning
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Author : Hongbo Li
language : en
Publisher: World Scientific
Release Date : 2008
Invariant Algebras And Geometric Reasoning written by Hongbo Li and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
A moving portrait of Africa from Polands most celebrated foreign correspondent - a masterpiece from a modern master. Famous for being in the wrong places at just the right times, Ryszard Kapuscinski arrived in Africa in 1957, at the beginning of the end of colonial rule - the &"sometimes dramatic and painful, sometimes enjoyable and jubilant&" rebirth of a continent.The Shadow of the Sunsums up the authors experiences (&"the record of a 40-year marriage&") in this place that became the central obsession of his remarkable career. From the hopeful years of independence through the bloody disintegration of places like Nigeria, Rwanda and Angola, Kapuscinski recounts great social and political changes through the prism of the ordinary African. He examines the rough-and-ready physical world and identifies the true geography of Africa: a little-understood spiritual universe, an African way of being. He looks also at Africa in the wake of two epoch-making changes: the arrival of AIDS and the definitive departure of the white man. Kapuscinskis rare humanity invests his subjects with a grandeur and a dignity unmatched by any other writer on the Third World, and his unique ability to discern the universal in the particular has never been more powerfully displayed than in this work. From the Trade Paperback edition.
Subject Offerings And Enrollments
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Author : United States. Education Office
language : en
Publisher:
Release Date : 1965
Subject Offerings And Enrollments written by United States. Education Office and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with categories.
Opengl Superbible
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Author : Richard S. Wright Jr.
language : en
Publisher: Pearson Education
Release Date : 2010-07-23
Opengl Superbible written by Richard S. Wright Jr. and has been published by Pearson Education this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-23 with Computers categories.
OpenGL® SuperBible, Fifth Edition is the definitive programmer’s guide, tutorial, and reference for the world’s leading 3D API for real-time computer graphics, OpenGL 3.3. The best all-around introduction to OpenGL for developers at all levels of experience, it clearly explains both the API and essential associated programming concepts. Readers will find up-to-date, hands-on guidance on all facets of modern OpenGL development, including transformations, texture mapping, shaders, advanced buffers, geometry management, and much more. Fully revised to reflect ARB’s latest official specification (3.3), this edition also contains a new start-to-finish tutorial on OpenGL for the iPhone, iPod touch, and iPad. Coverage includes A practical introduction to the essentials of real-time 3D graphics Core OpenGL 3.3 techniques for rendering, transformations, and texturing Writing your own shaders, with examples to get you started Cross-platform OpenGL: Windows (including Windows 7), Mac OS X, GNU/Linux, UNIX, and embedded systems OpenGL programming for iPhone, iPod touch, and iPad: step-by-step guidance and complete example programs Advanced buffer techniques, including full-definition rendering with floating point buffers and textures Fragment operations: controlling the end of the graphics pipeline Advanced shader usage and geometry management A fully updated API reference, now based on the official ARB (Core) OpenGL 3.3 manual pages New bonus materials and sample code on a companion Web site, www.starstonesoftware.com/OpenGL Part of the OpenGL Technical Library—The official knowledge resource for OpenGL developers The OpenGL Technical Library provides tutorial and reference books for OpenGL. The Library enables programmers to gain a practical understanding of OpenGL and shows them how to unlock its full potential. Originally developed by SGI, the Library continues to evolve under the auspices of the OpenGL Architecture Review Board (ARB) Steering Group (now part of the Khronos Group), an industry consortium responsible for guiding the evolution of OpenGL and related technologies.
Circular
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Author :
language : en
Publisher:
Release Date : 1965
Circular written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Education categories.
Generalized Voronoi Diagram A Geometry Based Approach To Computational Intelligence
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Author : Marina L. Gavrilova
language : en
Publisher: Springer
Release Date : 2008-10-02
Generalized Voronoi Diagram A Geometry Based Approach To Computational Intelligence written by Marina L. Gavrilova and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-02 with Technology & Engineering categories.
The year 2008 is a memorial year for Georgiy Vorono (1868-1908), with a number of events in the scientific community commemorating his tremendous contribution to the area of mathematics, especially number theory, through conferences and scientific gatherings in his honor. A notable event taking place in September 2008 a joint c- ference: the 5th Annual International Symposium on Voronoi Diagrams (ISVD) and the 4th International Conference on Analytic Number Theory and Spatial Tessel- tions held in Kyiv, Georgiy Vorono ’s native land. The main ideas expressed by G. Vorono ’s through his fundamental works have influenced and shaped the key dev- opments in computation geometry, image recognition, artificial intelligence, robotics, computational science, navigation and obstacle avoidance, geographical information systems, molecular modeling, astrology, physics, quantum computing, chemical en- neering, material sciences, terrain modeling, biometrics and other domains. This book is intended to provide the reader with in-depth overview and analysis of the fundamental methods and techniques developed following G. Voronoi ideas, in the context of the vast and increasingly growing area of computational intelligence. It represents the collection of state-of-the art research methods merging the bridges between two areas: geometric computing through Voronoi diagrams and intelligent computation techniques, pushing the limits of current knowledge in the area, impr- ing on previous solutions, merging sciences together, and inventing new ways of approaching difficult applied problems.
Course Offerings Enrollments And Curriculum Practices In Public Secondary School 1972 73
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Author : Logan Osterndorf
language : en
Publisher:
Release Date : 1976
Course Offerings Enrollments And Curriculum Practices In Public Secondary School 1972 73 written by Logan Osterndorf and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Education, Secondary categories.