Download or read book Geometric and Numerical Limits written by Thomas Mary Lynch and published by . This book was released on 1929 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Geometric and Numerical Optimal Control written by Bernard Bonnard and published by Springer. This book was released on 2018-07-27 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces readers to techniques of geometric optimal control as well as the exposure and applicability of adapted numerical schemes. It is based on two real-world applications, which have been the subject of two current academic research programs and motivated by industrial use – the design of micro-swimmers and the contrast problem in medical resonance imaging. The recently developed numerical software has been applied to the cases studies presented here. The book is intended for use at the graduate and Ph.D. level to introduce students from applied mathematics and control engineering to geometric and computational techniques in optimal control.
Download or read book The Notion of Limits in Elementary Geometry written by M. Leola Craig and published by . This book was released on 1934 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Geometric Methods and Optimization Problems written by Vladimir Boltyanski and published by Springer Science & Business Media. This book was released on 2013-12-11 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: VII Preface In many fields of mathematics, geometry has established itself as a fruitful method and common language for describing basic phenomena and problems as well as suggesting ways of solutions. Especially in pure mathematics this is ob vious and well-known (examples are the much discussed interplay between lin ear algebra and analytical geometry and several problems in multidimensional analysis). On the other hand, many specialists from applied mathematics seem to prefer more formal analytical and numerical methods and representations. Nevertheless, very often the internal development of disciplines from applied mathematics led to geometric models, and occasionally breakthroughs were b~ed on geometric insights. An excellent example is the Klee-Minty cube, solving a problem of linear programming by transforming it into a geomet ric problem. Also the development of convex programming in recent decades demonstrated the power of methods that evolved within the field of convex geometry. The present book focuses on three applied disciplines: control theory, location science and computational geometry. It is our aim to demonstrate how methods and topics from convex geometry in a wider sense (separation theory of convex cones, Minkowski geometry, convex partitionings, etc.) can help to solve various problems from these disciplines.
Download or read book Solving Geometric Originals written by Frank Charles Touton and published by . This book was released on 1924 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Limits written by O. Lexton Buchanan and published by . This book was released on 1966 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Teaching of Mathematics in the Elementary and the Secondary School written by Jacob William Albert Young and published by . This book was released on 1924 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Geometric Integration Theory written by Steven G. Krantz and published by Springer Science & Business Media. This book was released on 2008-12-15 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook introduces geometric measure theory through the notion of currents. Currents, continuous linear functionals on spaces of differential forms, are a natural language in which to formulate types of extremal problems arising in geometry, and can be used to study generalized versions of the Plateau problem and related questions in geometric analysis. Motivating key ideas with examples and figures, this book is a comprehensive introduction ideal for both self-study and for use in the classroom. The exposition demands minimal background, is self-contained and accessible, and thus is ideal for both graduate students and researchers.
Download or read book Interactions of Classical and Numerical Algebraic Geometry written by Daniel James Bates and published by American Mathematical Soc.. This book was released on 2009-09-16 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the conference on Interactions of Classical and Numerical Algebraic Geometry, held May 22-24, 2008, at the University of Notre Dame, in honor of the achievements of Professor Andrew J. Sommese. While classical algebraic geometry has been studied for hundreds of years, numerical algebraic geometry has only recently been developed. Due in large part to the work of Andrew Sommese and his collaborators, the intersection of these two fields is now ripe for rapid advancement. The primary goal of both the conference and this volume is to foster the interaction between researchers interested in classical algebraic geometry and those interested in numerical methods. The topics in this book include (but are not limited to) various new results in complex algebraic geometry, a primer on Seshadri constants, analyses and presentations of existing and novel numerical homotopy methods for solving polynomial systems, a numerical method for computing the dimensions of the cohomology of twists of ideal sheaves, and the application of algebraic methods in kinematics and phylogenetics.
Download or read book Development of the Minkowski Geometry of Numbers written by Harris Hancock and published by . This book was released on 1964 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Geometry of Numbers as presented here is a sequel to my work on the "Foundations of the Theory of Algebraic Numbers." An attempt is made to broaden the bases or substructures of these subjects rather than to amplify their superstructures. By making a dilation (a term often used in the present work) of the original realm and extended realm upon these new bases is derived within which the theorems of the original realm are more readily proved; theorems hitherto unsolved are solved, while new and more comprehensive theorems may be introduced. [Hermann] Minkowski was one of the great mathematicians of all time. His grasp of geometrical concepts seem almost superhuman. Minkowski came to his theorems through spacial intuitions. Due to the limitations of a manifold in three dimensions he presented his theory in a purely analytic manner. Thus while he was able to treat manifolds of any order, the work is far more difficult of comprehension that if he had first derived his results in a two or three dimensional geometry with illustrative figures and then presented the general theory analytically with the use of such expressions that are indicative of geometric concepts. From this standpoint I have given the entire theory, which I call the "Development of the Minkowski Geometry of Numbers." By using the qualifying word "Minkowski" I am able to limit the content of this work which otherwise would be beyond bounds.--from the introduction.
Download or read book Numerical Problems in Plane Geometry with Metric and Logarithmic Tables written by Joe Garner Estill and published by . This book was released on 1896 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Concise Introduction to Geometric Numerical Integration written by Sergio Blanes and published by CRC Press. This book was released on 2017-11-22 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discover How Geometric Integrators Preserve the Main Qualitative Properties of Continuous Dynamical Systems A Concise Introduction to Geometric Numerical Integration presents the main themes, techniques, and applications of geometric integrators for researchers in mathematics, physics, astronomy, and chemistry who are already familiar with numerical tools for solving differential equations. It also offers a bridge from traditional training in the numerical analysis of differential equations to understanding recent, advanced research literature on numerical geometric integration. The book first examines high-order classical integration methods from the structure preservation point of view. It then illustrates how to construct high-order integrators via the composition of basic low-order methods and analyzes the idea of splitting. It next reviews symplectic integrators constructed directly from the theory of generating functions as well as the important category of variational integrators. The authors also explain the relationship between the preservation of the geometric properties of a numerical method and the observed favorable error propagation in long-time integration. The book concludes with an analysis of the applicability of splitting and composition methods to certain classes of partial differential equations, such as the Schrödinger equation and other evolution equations. The motivation of geometric numerical integration is not only to develop numerical methods with improved qualitative behavior but also to provide more accurate long-time integration results than those obtained by general-purpose algorithms. Accessible to researchers and post-graduate students from diverse backgrounds, this introductory book gets readers up to speed on the ideas, methods, and applications of this field. Readers can reproduce the figures and results given in the text using the MATLAB® programs and model files available online.
Download or read book Plane Geometry Suggestive Method written by George Clinton Shutts and published by . This book was released on 1905 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Plane and Solid Geometry written by George Clinton Shutts and published by . This book was released on 1894 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Numerical Geometry of Images written by Ron Kimmel and published by Springer Science & Business Media. This book was released on 2012-09-07 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Geometry of Images examines computational methods and algorithms in image processing. It explores applications like shape from shading, color-image enhancement and segmentation, edge integration, offset curve computation, symmetry axis computation, path planning, minimal geodesic computation, and invariant signature calculation. In addition, it describes and utilizes tools from mathematical morphology, differential geometry, numerical analysis, and calculus of variations. Graduate students, professionals, and researchers with interests in computational geometry, image processing, computer graphics, and algorithms will find this new text / reference an indispensable source of insight of instruction.
Download or read book Sequences Combinations Limits written by S. I. Gelfand and published by Courier Corporation. This book was released on 2002-01-01 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on theory more than computations, this 3-part text covers sequences, definitions, and methods of induction; combinations; and limits, with introductory problems, definition-related problems, and problems related to computation limits. Answers and hints to the test problems are provided; "road signs" mark passages requiring particular attention. 1969 edition.
Download or read book Analytical Correlation of Centrifugal Compressor Design Geometry for Maximum Efficiency with Specific Speed written by Michael R. Galvas and published by . This book was released on 1972 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: Centrifugal compressor performance was examined analytically to determine optimum geometry for various applications as characterized by specific speed. Seven specific losses were calculated for various combinations of inlet tip-exit diameter ratio, inlet hub-tip diameter ratio, blade exit backsweep, and inlet-tip absolute tangential velocity for solid body prewhirl. The losses considered were inlet guide vane loss, blade loading loss, skin friction loss, recirculation loss, disk friction loss, vaneless diffuser loss, and vaned diffuser loss. Maximum total efficiencies ranged from 0.497 to 0.868 for a specific speed range of 0.257 to 1.346. Curves of rotor exit absolute flow angle, inlet tip-exit diameter ratio, inlet hub-tip diameter ratio, head coefficient and blade exit backsweep are presented over a range of specific speeds for various inducer tip speeds to permit rapid selection of optimum compressor size and shape for a variety of applications.
