Download or read book Two Dimensional Geometries A Problem Solving Approach written by C. Herbert Clemens and published by American Mathematical Soc.. This book was released on 2019-03-20 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book on two-dimensional geometry uses a problem-solving approach to actively engage students in the learning process. The aim is to guide readers through the story of the subject, while giving them room to discover and partially construct the story themselves. The book bridges the study of plane geometry and the study of curves and surfaces of non-constant curvature in three-dimensional Euclidean space. One useful feature is that the book can be adapted to suit different audiences. The first half of the text covers plane geometry without and with Euclid's Fifth Postulate, followed by a brief synthetic treatment of spherical geometry through the excess angle formula. This part only requires a background in high school geometry and basic trigonometry and is suitable for a quarter course for future high school geometry teachers. A brief foray into the second half could complete a semester course. The second half of the text gives a uniform treatment of all the complete, simply connected, two-dimensional geometries of constant curvature, one geometry for each real number (its curvature), including their groups of isometries, geodesics, measures of lengths and areas, as well as formulas for areas of regions bounded by polygons in terms of the curvature of the geometry and the sum of the interior angles of the polygon. A basic knowledge of real linear algebra and calculus of several (real) variables is useful background for this portion of the text.

Download or read book Two dimensional Geometries written by Charles Herbert Clemens and published by . This book was released on 2019 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book on two-dimensional geometry uses a problem-solving approach to actively engage students in the learning process. The aim is to guide readers through the story of the subject, while giving them room to discover and partially construct the story themselves. The book bridges the study of plane geometry and the study of curves and surfaces of non-constant curvature in three-dimensional Euclidean space. One useful feature is that the book can be adapted to suit different audiences. The first half of the text covers plane geometry without and with Euclid's Fifth Postulate, followed by a brief synthetic treatment of spherical geometry through the excess angle formula. This part only requires a background in high school geometry and basic trigonometry and is suitable for a quarter course for future high school geometry teachers. A brief foray into the second half could complete a semester course. The second half of the text gives a uniform treatment of all the complete, simply connected, two-dimensional geometries of constant curvature, one geometry for each real number (its curvature), including their groups of isometries, geodesics, measures of lengths and areas, as well as formulas for areas of regions bounded by polygons in terms of the curvature of the geometry and the sum of the interior angles of the polygon. A basic knowledge of real linear algebra and calculus of several (real) variables is useful background for this portion of the text

Download or read book Coordinate Geometry of Two Dimensions written by Hari Kishan and published by Atlantic Publishers & Dist. This book was released on 2006 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Present Book Coordinate Geometry Of Two Dimensions Aims At Providing The Students With A Detailed Study Of Polar Coordinates, Polar Equations Of A Straight Line And A Circle, Polar Equations Of Conics, General Equation Of Second Degree And System Of Conics The Topics Included In The Ugc Syllabus.Primarily Meant For Students Of B.Sc./B.A. Of Several Indian Universities, The Book Exactly Covers The Prescribed Syllabus. It Neither Includes The Irrelevant Nor Escapes The Essential Topics. Its Approach Is Explanatory, Lucid And Comprehensive. The Analytic Explanation Of The Subject Matter Is Very Systematic Which Would Enable The Students To Assess And Thereby Solve The Related Problems Easily. Sufficient Number Of High-Graded Solved Examples Provided In The Book Facilitate Better Understanding Of The Various Skills Necessary In Solving The Problems. In Addition, Practice Exercises Of Multiple Varieties Will Undoubtedly Prove Helpful In Quick Revision Of The Subject. The Figures And Also The Answers Provided In The Book Are Accurate And Verified Thoroughly.A Proper Study Of The Book Will Definitely Bring To Students A Brilliant Success. Even Teachers Will Find It Useful In Elucidating The Subject To The Students Of Mathematics.

Download or read book Analytical Geometry of Two Dimension written by Dipak Chatterjee and published by Alpha Science International, Limited. This book was released on 1999-01-01 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text offers a clear guide to the essentials of two-dimensional analytical geometry. It uses numerous examples to illustrate the basic ideas and to educate students in the many techniques of problem-solving. Exercises provide ample problems to encourage steady progress and to broaden intuition in general. The author's overall approach is systematic and rigorous, and avoids depending on Euclidean propositions. This textbook should be useful for arts, science and engineering students.

Download or read book ERDA Energy Research Abstracts written by United States. Energy Research and Development Administration and published by . This book was released on 1977 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Introduction to Heat Transfer written by Theodore L. Bergman and published by John Wiley & Sons. This book was released on 2011-06-13 with total page 2069 pages. Available in PDF, EPUB and Kindle. Book excerpt: Completely updated, the sixth edition provides engineers with an in-depth look at the key concepts in the field. It incorporates new discussions on emerging areas of heat transfer, discussing technologies that are related to nanotechnology, biomedical engineering and alternative energy. The example problems are also updated to better show how to apply the material. And as engineers follow the rigorous and systematic problem-solving methodology, they'll gain an appreciation for the richness and beauty of the discipline.

Download or read book Fundamentals of Heat and Mass Transfer written by T. L. Bergman and published by John Wiley & Sons. This book was released on 2011-04-12 with total page 2249 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of Heat and Mass Transfer, 7th Edition is the gold standard of heat transfer pedagogy for more than 30 years, with a commitment to continuous improvement by four authors having more than 150 years of combined experience in heat transfer education, research and practice. Using a rigorous and systematic problem-solving methodology pioneered by this text, it is abundantly filled with examples and problems that reveal the richness and beauty of the discipline. This edition maintains its foundation in the four central learning objectives for students and also makes heat and mass transfer more approachable with an additional emphasis on the fundamental concepts, as well as highlighting the relevance of those ideas with exciting applications to the most critical issues of today and the coming decades: energy and the environment. An updated version of Interactive Heat Transfer (IHT) software makes it even easier to efficiently and accurately solve problems.

Download or read book Computational Structural Mechanics Fluid Dynamics written by A.K. Noor and published by Elsevier. This book was released on 2013-10-22 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational structural mechanics (CSM) and computational fluid dynamics (CFD) have emerged in the last two decades as new disciplines combining structural mechanics and fluid dynamics with approximation theory, numerical analysis and computer science. Their use has transformed much of theoretical mechanics and abstract science into practical and essential tools for a multitude of technological developments which affect many facets of our life. This collection of over 40 papers provides an authoritative documentation of major advances in both CSM and CFD, helping to identify future directions of development in these rapidly changing fields. Key areas covered are fluid structure interaction and aeroelasticity, CFD technology and reacting flows, micromechanics, stability and eigenproblems, probabilistic methods and chaotic dynamics, perturbation and spectral methods, element technology (finite volume, finite elements and boundary elements), adaptive methods, parallel processing machines and applications, and visualization, mesh generation and artificial intelligence interfaces.

Download or read book A Texbook Of Two Dimensional Geometry written by and published by New Age International. This book was released on 1996 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: # Co-Ordinates# Equation Locus# Change Of Axes# Straight Line# Pair Of Straight Lines# Circle# Some Standard Curve# A Line And A Curve# Conic Sections# Parabola# Ellipse# Hyperbola# Tracing Of The General Conic# Polar Co-Ordinates.

Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1975 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: NSA is a comprehensive collection of international nuclear science and technology literature for the period 1948 through 1976, pre-dating the prestigious INIS database, which began in 1970. NSA existed as a printed product (Volumes 1-33) initially, created by DOE's predecessor, the U.S. Atomic Energy Commission (AEC). NSA includes citations to scientific and technical reports from the AEC, the U.S. Energy Research and Development Administration and its contractors, plus other agencies and international organizations, universities, and industrial and research organizations. References to books, conference proceedings, papers, patents, dissertations, engineering drawings, and journal articles from worldwide sources are also included. Abstracts and full text are provided if available.

Download or read book Stream Tube Method written by Jean-Robert Clermont and published by Springer Nature. This book was released on 2021-03-25 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the stream-tube method (STM), a method offering computational means of dealing with the two- and three-dimensional properties of numerous incompressible materials in static and dynamic conditions. The authors show that the kinematics and stresses associated with the flow and deformation in such materials can be treated by breaking the system down into simple computational sub-domains in which streamlines are straight and parallel and using one or two mapping functions in steady-state and non-steady-state conditions. The STM is considered for various problems in non-Newtonian fluid mechanics with different geometries. The book makes use of examples and applications to illustrate the use of the STM. It explores the possibilities of computation on simple mapped rectangular domains and three-dimensional parallel-piped domains under different conditions. Complex materials with memory are considered simply without particle tracking problems. Readers, including researchers, engineers and graduate students, with a foundational knowledge of calculus, linear algebra, differential equations and fluid mechanics will benefit most greatly from this book.

Download or read book Finite Element Method Electromagnetics written by John L. Volakis and published by John Wiley & Sons. This book was released on 1998-06-15 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Employed in a large number of commercial electromagnetic simulation packages, the finite element method is one of the most popular and well-established numerical techniques in engineering. This book covers the theory, development, implementation, and application of the finite element method and its hybrid versions to electromagnetics. FINITE ELEMENT METHOD FOR ELECTROMAGNETICS begins with a step-by-step textbook presentation of the finite method and its variations then goes on to provide up-to-date coverage of three dimensional formulations and modern applications to open and closed domain problems. Worked out examples are included to aid the reader with the fine features of the method and the implementation of its hybridization with other techniques for a robust simulation of large scale radiation and scattering. The crucial treatment of local boundary conditions is carefully worked out in several stages in the book. Sponsored by: IEEE Antennas and Propagation Society.

Download or read book Energy Research Abstracts written by and published by . This book was released on 1994 with total page 1032 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semiannual, with semiannual and annual indexes. References to all scientific and technical literature coming from DOE, its laboratories, energy centers, and contractors. Includes all works deriving from DOE, other related government-sponsored information, and foreign nonnuclear information. Arranged under 39 categories, e.g., Biomedical sciences, basic studies; Biomedical sciences, applied studies; Health and safety; and Fusion energy. Entry gives bibliographical information and abstract. Corporate, author, subject, report number indexes.

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Plaque Imaging Pixel to Molecular Level written by J.S. Suri and published by IOS Press. This book was released on 2005-05-27 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Coronary disease is the number one cause of death in the United States and the Western world and approximately 250,000 affected people die per year without being admitted to the hospital. One of the main reasons of such a high death rate without any diagnostics in more than 50% of myocardial infarctions (MIs or heart attacks) occur in patients with no prior history of heart attack disease or symptoms. Coronary artery disease leads to the occlusion of arteries that are vital in providing nutrients to the heart muscles. The disease develops by progressive accumulation or formation of 'plaque' within an artery. Certain types of arteries could occlude blood flow and yet might be 'stable'. These plaques usually have high fibrous content and are known as hard plaques. On the other hand, 'unstable or soft plaques' might not cause much occlusion but could be venerable to rupture. Rupture of such plaques could lead to total or partial occlusion in arteries resulting in sudden cardiac death or heart attack. In fact, 68% of the MIs are caused by rupture of plaques when coronary arteries are less than 50% occluded. This book is about plaque imaging covering both clinical and imaging aspects of plaque using Magnetic Resonance (MR), Computer Tomography (CT), Intravascular Ultrasound (IVUS), Elastography and at Molecular/Microscopic levels.

Download or read book Geometry Through Euclidean Constructions written by Scott Smith and published by . This book was released on 1985 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Boundary Element Technology VII written by C.A. Brebbia and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 911 pages. Available in PDF, EPUB and Kindle. Book excerpt: Seventh International Conference on Boundary Element Technology 'Betech 92', held at the University of New Mexico in Albuquerque, June 1992