Explores the development of the ellipse and presents mathematical concepts within a rich, historical context The Ellipse features a unique, narrative approach when presenting the development of this mathematical fixture, revealing its parallels to mankind's advancement from the Counter-Reformation to the Enlightenment. Incorporating illuminating historical background and examples, the author brings together basic concepts from geometry, algebra, trigonometry, and calculus to uncover the ellipse as the shape of a planet's orbit around the sun. The book begins with a discussion that tells the story of man's pursuit of the ellipse, from Aristarchus to Newton's successful unveiling nearly two millenniums later. The narrative draws insightful similarities between mathematical developments and the advancement of the Greeks, Romans, Medieval Europe, and Renaissance Europe. The author begins each chapter by setting the historical backdrop that is pertinent to the mathematical material that is discussed, equipping readers with the knowledge to fully grasp the presented examples and derive the ellipse as the planetary pathway. All topics are presented in both historical and mathematical contexts, and additional mathematical excursions are clearly marked so that readers have a guidepost for the materials' relevance to the development of the ellipse. The Ellipse is an excellent book for courses on the history of mathematics at the undergraduate level. It is also a fascinating reference for mathematicians, engineers, or anyone with a general interest in historical mathematics.
The Fall and Rise of the Human Soul, Secrets of the Cosmos
Author: Zakariyya Ishaq
Publisher: CCB Publishing
The Ellipse: The Fall and Rise of the Human Soul, Secrets of the Cosmos describes the cosmic laws of the universe ruling the reality of the human experience and the destiny of humanity. It is an in depth study of the spiritual science that is the source of all religion, and the cause of the human condition. The term ellipse which means imperfect circle, as opposed to the perfect circle, is the updated metaphor that replaces the traditional concepts of God and the devil, and good and evil as the human race evolves out of the age of mythology to the era of the merging of science and spirituality. This spiritual saga describes the inner and outer soul of the universe, the apocalypse, and the destiny of the human race. Delving deeper than any metaphysical writer of the past or present, the book reveals new insights about the fall of man and the soul's journey to its ultimate destiny in unraveling the mysteries of its existence. It also clarifies pervasive distortions and misconceptions within religion and metaphysics.
One service mathematics has rendered the 'Et moi, ... ) si j'avait su comment en revenir, human race. It has put common sense back je n'y serais point aile.' Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non The series is divergent; therefore we may be sense'. ErieT. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.
CALCULUS I WITH PRECALCULUS, developed for one-year courses, is ideal for instructors who wish to successfully bring students up to speed algebraically within precalculus and transition them into calculus. The Larson Calculus program has a long history of innovation in the calculus market. It has been widely praised by a generation of students and professors for its solid and effective pedagogy that addresses the needs of a broad range of teaching and learning styles and environments. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning. Two primary objectives guided the authors in writing this book: to develop precise, readable materials for students that clearly define and demonstrate concepts and rules of calculus and to design comprehensive teaching resources for instructors that employ proven pedagogical techniques and saves the instructor time. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
The ultimate reference and tutorial for AutoCAD software This Autodesk Official Press book employs concise explanations,focused examples, step-by-step instructions, and hands-on projectsto help you master both AutoCAD and AutoCAD LT. This detailed guideworks well as both a tutorial and stand-alone reference, and is theperfect resource regardless of your level of expertise. Part I introduces the basics of the interface and draftingtools Part II moves into such intermediate skills as effectivelyusing hatches, fields, and tables Part III details such advanced skills as attributes, dynamicblocks, drawing curves and solid fills Part IV explores 3D modeling and imaging Part V discusses customization and integration The supporting website includes all the project files necessaryfor the tutorials as well as video tutorials and other bonuscontent.
This volume in the SPIE Tutorial Text series presents a practical approach to optical testing, with emphasis on techniques, procedures, and instrumentation rather than mathematical analysis. The author provides the reader with a basic understanding of the measurements made and the tools used to make those measurements. Detailed information is given on how to measure and characterize imaging systems, perform optical bench measurements to determine first- and third-order properties of optical systems, set up and operate a Fizeau interferometer and evaluate fringe data, conduct beam diagnostics (such as wavefront sensing), and perform radiometric calibrations.
Comprising an Explanation of Terms and Principles of Pure and Mixed Mathematics, and Such Branches of Natural Philosophy as are Susceptible of Mathematical Investigation. With Historical Sketches of the Rise, Progress and Present State of the Several Departments of These Sciences, and an Account of the Discoveries and Writings of the Most Celebrated Authors, Both Ancient and Modern
AutoCAD 2007 is a premiere computer-aided designing program thatlets you organize the objects you draw, their properties, and theirfiles. It also helps you create great-looking models. Butit’s not always easy to figure out how to perform thesefunctions, and many users end up missing out on AutoCAD’sfull potential. AutoCAD 2007 For Dummies will show you how to performthese tasks and more! This hands-on guide lets you discover how tonavigate around all the complications and start creating cooldrawings in no time. Soon you’ll have the tools you need touse DWG, set up drawings, add text, and work with lines, as wellas: Draw a base plate with rectangles and circles Organize a successful template Zoom and pan with glass and hand Use the AutoCAD design center Navigate through your 3-D drawing projects Plot layout, lineweights, and colors Design block definitions Slice and dice your drawings to create new designs Create a Web format using AutoCAD This book also features suggestions and tips on how to touch upyour creations as well as ways to swap drawing data with otherpeople and programs. Written in a friendly, straightforward tonethat doesn’t try to overwhelm you, AutoCAD 2007 ForDummies shows you the fun and easy way to draw precise 2-D and3-D drawings!
Ronald Barr,Thomas J. Krueger, Ph.D.,Theodore A. Aanstoos,Davor Juricic
Author: Ronald Barr,Thomas J. Krueger, Ph.D.,Theodore A. Aanstoos,Davor Juricic
Publisher: SDC Publications
Engineering & Computer Graphics Workbook Using SolidWorks 2010 is an exercise-based workbook that uses step-by-step tutorials to cover the fundamentals of SolidWorks 2010. The intended audience is college undergraduate engineering majors, but it could also be used in pre-college introductory engineering courses or by self learners. The text follows an educational paradigm that was researched and developed by the authors over many years. The paradigm is based on the concurrent engineering approach to engineering design in which the 3-D solid model data serves as the central hub for all aspects of the design process. The workbook systematically instructs the students to develop 3-D models using the rich tools afforded in SolidWorks. The exercises then proceed to instruct the students on applications of the solid model to design analysis using finite elements, to assembly modeling and checking, to kinematic simulation, to rapid prototyping, and finally to projecting an engineering drawing. The workbook is ideally suited for courses in which a reverse engineering design project is assigned. This book contains clear and easy to understand instructions that enable the students to robustly learn the main features of SolidWorks, with little or no instructor input.