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[資源]
【分享】CRC Standard Curves and Surfaces.CRC.1993【已搜無重復】
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CRC Standard Curves and Surfaces 免責聲明 本資源來自于互聯(lián)網(wǎng)，僅供網(wǎng)絡測試之用，請務必在下載后24小時內(nèi)刪除！所有資源不涉及任何商業(yè)用途。發(fā)帖人不承擔由下載使用者引發(fā)的一切法律責任及連帶責任！ 著作權歸原作者或出版社所有。未經(jīng)發(fā)貼人conanwj許可，嚴禁任何人以任何形式轉貼本文，違者必究！ 如果本帖侵犯您的著作權，請與conanwj聯(lián)系，收到通知后我們將立即刪除此帖！ Authors(Editors): David von Seggern Publisher: CRC Pub Date: 2003 Pages: 416 ISBN: 0-8493-0196-3 Preface Mathematical functions are a fundamental and prevalent ingredient in the endeavors of scientists and engineers. The conclusions, predictions, and analyses of such professionals are most often concisely contained in these abstract relations, which are commonly referred to as "curves" when illustrated. Many special curves can be found in mathematical tables, such as the CRC Handbook of Mathematical Sciences,l and in mathematical dictionaries (for example, James and James2 ). The National Bureau of Standard's handbook (Abramowitz and Stegun3) is the acknowledged English-language source for special functions in physics and engineering. The recent work entitled A Catalog of Special Plane Curves4 is an excellent source for illustrations of interesting functions in two dimensions. Yet, in spite of the frequent and widespread use of mathematical functions, there has been, to date, no volume in which a diversity of curves appear in graphic form. Unexpectedly, there is no work which illustrates the spectrum of simple functions found in most integral tables. Thus, there is not a single reference work which draws together the entire gamut of forms which the modern scientist or engineer uses within a career. Such a reference volume is long overdue, especially in light of the fact that "curves" have become the ready tool of many other disciplines due to the computational and storage powers of modern electronic computers. Lastly, most of the curves appearing in older reference works show the imprecision of hand drafting methods, and the reappearance of familiar curves in precise, computer-plotted form should serve a useful purpose in itself. Curves are abstractions of the form and motion of the physical world. Scientists have analyzed this world for millennia in order to render these abstract expressions in the most minute detail, from gross astronomical movements to infinitesimal atomic phenomena. It is now possible for a remarkably detailed synthesis of natural phenomena to be created by the proper use of these abstractions. Some such synthetic renditions have emerged from the field of computer graphics already (mountainous terrain, cloud formations, trees, to name a few) and are nearly indistinguishable from reality. Modern scientists' skillful mathematical description of the motion of nature, coupled with modern computing power, has also enabled them to make increasingly accurate predictions of natural events, such as weather, earthquakes, and oceanic currents. All such endeavors involve, as the quantitative basis, functions whose curves are the visual representation of the predicted motion. Scientists and engineers can use this reference work in two ways to aid their work. In the fOlWard manner, they can look up the equation of interest and see the corresponding visual form of the curve. In the inverse manner, they can select a particular curve visually to serve in data fitting or in computer modeling exercises. This handbook, however, purports to serve a larger audience than those engaged in mathematics, science, and engineering. Architects, designers, draftsmen, and artists should benefit from this reference book of curves. New expressions of form can be imagined through even a casual scanning of the contents of this volume. And if one has general notion of the desired appearance, the appropriate curve can be located in this volume and its mathematical expression noted. The mathematical expressions given here can be readily translated into high-level programming languages (for example, FORTRAN) in order to generate a given curve in a particular environment of application. Recent graphics languages enable cells, segments, or symbols to be created once and stored for future use. These abstractions, which can be composed of one or more curve segments, may be placed in a computer-based design at any scale or rotation angle to achieve the desired effect. The computer revolution indeed makes curve generation easy and rapid and eliminates the former laborious hand calculations necessary to graph even the simplest curves. Achieving the most intricate and subtlest abstract forms, as well as the simple and plain, is possible for those who have only a rudimentary programming knowledge. Properly designed computer programs can open up this possibility even to those who have no grasp of the underlying equations. This work is intended to contain all curves in common use in applied mathematics. In order to be comprehensive, the notion of "curve" has been extended beyond its usual connection with algebraic or transcendental functions. Here "curve" means any line or surface in two or three dimensions which can be generated by a rule or set of rules expressible in mathematical terms. Such rules may be entirely smooth and deterministic, and the first part of this handbook is devoted to the curves represented in this way: algebraic forms, transcendental forms, and special integrals. Here mathematicians, scientists, and engineers will find those curves familiar to them. Selection of functions for curve fitting can be eased by use of this handbook, and questions concerning the form of a given function can be quickly settled. Designers can find curves appropriate to their design goals. The latter part of this handbook comprises curves and surfaces which are not smoothly generated by a single relation, such as piecewise continuous functions, polygons, and polyhedra. When the generating rules include random components, a new series of curves and surfaces emerges-the subject of the final chapter. The need for cataloging such curves is due to the work of Mandelbrot,5 who has shown that the study and description of the random component of natural phenomena is as important, if not more important, than that of the deterministic component. A future volume will collect together many interesting and unusual curves which are not normally considered in pure mathematics. These curves will be most useful to artists and designers who are able to employ modern computer-assisted art and drafting systems. This handbook begins with a chapter containing a qualitative summary of deterministic curve properties and a classification of such curves. An explanation of the means and conventions of presentation in later chapters is also given here. This first chapter is meant to acquaint the reader with fundamental mathematical properties of curves in order that application of the material of the handbook can be more knowledgeable and meaningful. Those with a solid background in calculus will find little new information here. A section on matrix transformations has been included to indicate how a given curve can be made to appear in many different forms. The following chapters are organized so that similar curves are grouped together for easy reference. Early chapters deal with curves in two dimensions, progressing from the simple to the complex. Later chapters extend the notion of curve to curves and surfaces in three dimensions. Final chapters deal with piecewise continuous functions in two and three dimensions. 本資源共7個可選網(wǎng)絡硬盤鏈接，12.46 MB。 -------------------------------------------------------------------------------------------------------- https://rapidshare.com/files/358 ... s.CRC.p416.1992.rar https://www.filefactory.com/file ... s.CRC.p416.1992.rar https://uploading.com/files/8f15 ... .CRC.p416.1992.rar/ https://www.easy-share.com/1909448040/CRC Standard Curves and Surfaces.CRC.p416.1992.rar https://depositfiles.com/files/p6d6y1ds5 https://www.divshare.com/download/10653557-a23 https://www.sendspace.com/file/t02pre -------------------------------------------------------------------------------------------------------- [ Last edited by javeey on 2010-5-6 at 20:20 ] |
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