Download or read book Transformations A Mathematical Approach Fundamental Concepts written by Carlos Polanco and published by Bentham Science Publishers. This book was released on 2018-08-18 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical transformations have applications in many everyday artistic (computer graphics and design), industrial (manufacturing) and scientific (informatics) processes. Transformations: A Mathematical Approach covers both the mathematical basics of transformations and technical applications. Readers will find information on the mathematical operators for linear, nonlinear and affine transformations. Key Features -introduces readers to affine transformations, their properties and definitions -explains different linear and nonlinear transformations -covers the application of transformations in acoustics, actuary, bioinformatics, calculus, cybernetics, epidemiology, genetics, optics, physics, probability and vector analysis -includes carefully selected examples for easy understanding The combination of an easy-to understand text with information on a broad range of basic and applied topics related to transformations makes this textbook a handy resource for students of mathematics and allied disciplines, at all levels.
Download or read book Mostly Surfaces written by Richard Evan Schwartz and published by American Mathematical Soc.. This book was released on 2011 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of the book is to present a tapestry of ideas from various areas of mathematics in a clear and rigorous yet informal and friendly way. Prerequisites include undergraduate courses in real analysis and in linear algebra, and some knowledge of complex analysis. --from publisher description.
Download or read book Phase Transformations in Steels written by Elena Pereloma and published by Elsevier. This book was released on 2012-05-11 with total page 657 pages. Available in PDF, EPUB and Kindle. Book excerpt: The processing-microstructure-property relationships in steels continue to present challenges to researchers because of the complexity of phase transformation reactions and the wide spectrum of microstructures and properties achievable. This major two-volume work summarises the current state of research on phase transformations in steels and its implications for the emergence of new steels with enhanced engineering properties.Volume 1 reviews fundamentals and diffusion-controlled phase transformations. After a historical overview, chapters in part one discuss fundamental principles of thermodynamics, diffusion and kinetics as well as phase boundary interfaces. Chapters in part two go on to consider ferrite formation, proeutectoid ferrite and cementite transformations, pearlite formation and massive austenite-ferrite phase transformations. Part three discusses the mechanisms of bainite transformations, including carbide-containing and carbide-free bainite. The final part of the book considers additional driving forces for transformation including nucleation and growth during austenite-to-ferrite phase transformations, dynamic strain-induced ferrite transformations (DIST) as well as the effects of magnetic fields and heating rates.With its distinguished editors and distinguished international team of contributors, the two volumes of Phase transformations in steels is a standard reference for all those researching the properties of steel and developing new steels in such areas as automotive engineering, oil and gas and energy production. - Discusses the fundamental principles of thermodynamics, diffusion and kinetics - Considers various transformations, including ferrite formation, proeutectoid ferrite and cementite transformations - Considers additional driving forces for transformation including nucleation and growth during austenite-to-ferrite phase transformations
Download or read book Transformations of Surfaces written by Luther Pfahler Eisenhart and published by Legare Street Press. This book was released on 2022-10-27 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Download or read book B cklund and Darboux Transformations written by C. Rogers and published by Cambridge University Press. This book was released on 2002-06-24 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the deep and fascinating connections that exist between a ubiquitous class of physically important waves known as solitons and the theory of transformations of a privileged class of surfaces as they were studied by eminent geometers of the nineteenth century. Thus, nonlinear equations governing soliton propagation and also mathematical descriptions of their remarkable interaction properties are shown to arise naturally out of the classical differential geometry of surfaces and what are termed Bäcklund-Darboux transformations.This text, the first of its kind, is written in a straightforward manner and is punctuated by exercises to test the understanding of the reader. It is suitable for use in higher undergraduate or graduate level courses directed at applied mathematicians or mathematical physics.
Download or read book Geometry of Surfaces written by Stephen P. Radzevich and published by John Wiley & Sons. This book was released on 2013-01-04 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents an in-depth analysis of geometry of part surfaces and provides the tools for solving complex engineering problems Geometry of Surfaces: A Practical Guide for Mechanical Engineers is a comprehensive guide to applied geometry of surfaces with focus on practical applications in various areas of mechanical engineering. The book is divided into three parts on Part Surfaces, Geometry of Contact of Part Surfaces and Mapping of the Contacting Part Surfaces. Geometry of Surfaces: A Practical Guide for Mechanical Engineers combines differential geometry and gearing theory and presents new developments in the elementary theory of enveloping surfaces. Written by a leading expert of the field, this book also provides the reader with the tools for solving complex engineering problems in the field of mechanical engineering. Presents an in-depth analysis of geometry of part surfaces Provides tools for solving complex engineering problems in the field of mechanical engineering Combines differential geometry and gearing theory Highlights new developments in the elementary theory of enveloping surfaces Essential reading for researchers and practitioners in mechanical, automotive and aerospace engineering industries; CAD developers; and graduate students in Mechanical Engineering.
Download or read book Theory of Gearing written by Stephen P. Radzevich and published by CRC Press. This book was released on 2012-07-19 with total page 746 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first book of its kind, Theory of Gearing: Kinematics, Geometry, and Synthesis systematically develops a scientific theory of gearing that makes it possible to synthesize novel gears with the desired performance. Written by a leading gearing expert who holds more than 200 patents, it presents a modern methodology for gear design. The proposed theory is based on a key postulate: all the design parameters for an optimal gear pair for a particular application can be derived from (a) a given configuration of the rotation vectors of the driving and driven shafts and (b) the power transmitted by the gear pair. This allows engineers to synthesize the desired gear pairs with only the following input information: The rotation and torque on the driving shaft The configuration of the driven shaft in relation to the driving shaft The desired rotation and torque of the driven shaft Beginning with the fundamentals, the book reconsiders the basic theory of kinematics and geometry of gears to provide a sound basis for the evaluation and development of future designs. It then examines ideal and real gearing for parallel-axis, intersected-axis, and crossed-axis gearing. The book addresses how to minimize vibration and noise in gears, discusses aspects of implementing the theory of gearing, and analyzes principal features of power transmission and the loading of gear teeth. More than 500 figures clearly illustrate the principles. This is an invaluable resource for engineers and researchers who work in gear design, gear production, and the application of gears as well as for students in mechanical and manufacturing engineering. Covering all known gear designs, this book offers an analytical solution to the problem of designing optimal gear pairs for any given application. It also encourages researchers to further develop the theory of gearing.
Download or read book Generation of Surfaces written by Stephen P. Radzevich and published by CRC Press. This book was released on 2014-02-03 with total page 740 pages. Available in PDF, EPUB and Kindle. Book excerpt: A commonly used practice in industry is the machining of sculptured part surfaces on a multiaxis numerical control (NC) machine. While this practice is vital, it is also a costly aspect of the surface generation process. After investing more than 40 years of research into the theory of part surface generation, the author of Generation of Surfaces: Kinematic Geometry of Surface Machining considers an approach that provides optimal machining while factoring in the lowest possible cost. This book presents the modern theory of part surface generation with a focus on kinematic geometry of part surface machining on a multiaxis (NC) machine, and introduces key methods for applying the DG/K-based approach to part surface generation. The DG/K approach is based on the results of research found in two main areas: differential geometry (DG) of surfaces, and kinematics (K) of rigid body in three-dimensional Euclidian space E3. It is an extremely powerful tool for solving a plurality of problems in mechanical/manufacturing engineering. The text is presented in three parts: the basics, the fundamentals, and applications of part surface generation. The first part of the book provides an analytical description of part surfaces, details the principal elements of the theory of multiparametric motion of a rigid body in E3 space, and defines applied coordinate systems. The second half introduces the theory of part surface generation, and includes an analytical description of contact geometry, while the final portion illustrates the potential development of highly effective part surface generation methods. The author illustrates the most complex features of the book with examples, explains all of the results of analysis mathematically, and uses just one set of input parameters—the design parameters of the part surface to be machined. The book considers practical applications for part surface machining and cutting tool design. Developed for use with computer-aided design (CAD) and computer-aided machining (CAM), this text is useful for anyone starting work on new software packages for sculptured part surface machining on a multiaxis NC machine.
Download or read book B cklund and Darboux Transformations written by A. A. Coley and published by American Mathematical Soc.. This book was released on 2001-01-01 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to a classical topic that has undergone rapid and fruitful development over the past 25 years, namely Backlund and Darboux transformations and their applications in the theory of integrable systems, also known as soliton theory. The book consists of two parts. The first is a series of introductory pedagogical lectures presented by leading experts in the field. They are devoted respectively to Backlund transformations of Painleve equations, to the dressing methodand Backlund and Darboux transformations, and to the classical geometry of Backlund transformations and their applications to soliton theory. The second part contains original contributions that represent new developments in the theory and applications of these transformations. Both the introductorylectures and the original talks were presented at an International Workshop that took place in Halifax, Nova Scotia (Canada). This volume covers virtually all recent developments in the theory and applications of Backlund and Darboux transformations.
Download or read book Algebraic Surfaces written by Oscar Zariski and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "The author's book [...] saw its first edition in 1935. [...] Now as before, the original text of the book is an excellent source for an interested reader to study the methods of classical algebraic geometry, and to find the great old results. [...] a timelessly beautiful pearl in the cultural heritage of mathematics as a whole." Zentralblatt MATH
Download or read book Fundamentals of Computer Graphics written by Peter Shirley and published by CRC Press. This book was released on 2009-07-21 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt: With contributions by Michael Ashikhmin, Michael Gleicher, Naty Hoffman, Garrett Johnson, Tamara Munzner, Erik Reinhard, Kelvin Sung, William B. Thompson, Peter Willemsen, Brian Wyvill. The third edition of this widely adopted text gives students a comprehensive, fundamental introduction to computer graphics. The authors present the mathematical fo
Download or read book Doctorates Conferred in the Sciences by American Universities written by National Research Council (U.S.). Research Information Service and published by . This book was released on 1922 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Doctorates Conferred in the Sciences written by National Research Council (U.S.). Research Information Service and published by . This book was released on 1927 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Reprint and Circular Series of the National Research Council written by National Research Council (U.S.) and published by . This book was released on 1925 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Reprint and circular series of the National Research Council written by and published by National Academies. This book was released on 1925 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A History of Geometrical Methods written by Julian Lowell Coolidge and published by Courier Corporation. This book was released on 2003-01-01 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 Proceedings written by and published by . This book was released on 2003 with total page 820 pages. Available in PDF, EPUB and Kindle. Book excerpt: