Author: Zakariyya Ishaq Publisher: CCB Publishing ISBN: 0980999537 Category : Body, Mind & Spirit Languages : en Pages : 201
Book Description
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.
Author: Arthur Mazer Publisher: John Wiley & Sons ISBN: 111821143X Category : Mathematics Languages : en Pages : 326
Book Description
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.
Author: Ulrich Daepp Publisher: American Mathematical Soc. ISBN: 147044383X Category : Conic sections Languages : en Pages : 268
Book Description
Mathematicians delight in finding surprising connections between seemingly disparate areas of mathematics. Whole domains of modern mathematics have arisen from exploration of such connections--consider analytic number theory or algebraic topology. Finding Ellipses is a delight-filled romp across a three-way unexpected connection between complex analysis, linear algebra, and projective geometry. The book begins with Blaschke products, complex-analytic functions that are generalizations of disk automorphisms. In the analysis of Blaschke products, we encounter, in a quite natural way, an ellipse inside the unit disk. The story continues by introducing the reader to Poncelet's theorem--a beautiful result in projective geometry that ties together two conics and, in particular, two ellipses, one circumscribed by a polygon that is inscribed in the second. The Blaschke ellipse and the Poncelet ellipse turn out to be the same ellipse, and the connection is illuminated by considering the numerical range of a $2 \times 2$ matrix. The numerical range is a convex subset of the complex plane that contains information about the geometry of the transformation represented by a matrix. Through the numerical range of $n \times n$ matrices, we learn more about the interplay between Poncelet's theorem and Blaschke products. The story ranges widely over analysis, algebra, and geometry, and the exposition of the deep and surprising connections is lucid and compelling. Written for advanced undergraduates or beginning graduate students, this book would be the perfect vehicle for an invigorating and enlightening capstone exploration. The exercises and collection of extensive projects could be used as an embarkation point for a satisfying and rich research project. You are invited to read actively using the accompanying interactive website, which allows you to visualize the concepts in the book, experiment, and develop original conjectures.
Author: Jay P. Abramson Publisher: ISBN: 9781938168345 Category : Algebra Languages : en Pages : 2000
Book Description
"Precalculus is intended for college-level precalculus students. Since precalculus courses vary from one institution to the next, we have attempted to meet the needs of as broad an audience as possible, including all of the content that might be covered in any particular course. The result is a comprehensive book that covers more ground than an instructor could likely cover in a typical one- or two-semester course; but instructors should find, almost without fail, that the topics they wish to include in their syllabus are covered in the text. Many chapters of OpenStax College Precalculus are suitable for other freshman and sophomore math courses such as College Algebra and Trigonometry; however, instructors of those courses might need to supplement or adjust the material. OpenStax will also be releasing College Algebra and Algebra and trigonometry titles tailored to the particular scope, sequence, and pedagogy of those courses."--Preface.
Author: Alan Horwitz Publisher: CRC Press ISBN: 1040027741 Category : Mathematics Languages : en Pages : 147
Book Description
The main focus of this book is disseminating research results regarding the pencil of ellipses inscribing arbitrary convex quadrilaterals. In particular, the author proves that there is a unique ellipse of maximal area, EA, and a unique ellipse of minimal eccentricity, EI, inscribed in Q. Similar results are also proven for ellipses passing through the vertices of a convex quadrilateral along with some comparisons with inscribed ellipses. Special results are also given for parallelograms. Researchers in geometry and applied mathematics will find this unique book of interest. Software developers, image processors along with geometers, mathematicians, and statisticians will be very interested in this treatment of the subject of inscribing and circumscribing ellipses with the comprehensive treatment here. Most of the results in this book were proven by the author in several papers listed in the references at the end. This book gathers results in a unified treatment of the topics while also shortening and simplifying many of the proofs. This book also contains a separate section on algorithms for finding ellipses of maximal area or of minimal eccentricity inscribed in, or circumscribed about, a given quadrilateral and for certain other topics treated in this book. Anyone who has taken calculus and linear algebra and who has a basic understanding of ellipses will find it accessible.
Author: Paula Volsky Publisher: Spectra ISBN: 0307784274 Category : Fiction Languages : en Pages : 674
Book Description
Paula Volsky, author of The White Tribunal, returns with a spectacular saga of adventure and intrigue, romance and rebellion — beginning with a wondrous discovery that could forever alter the fate of the free world.... In the modern, civilized republic of Vonahr, the need for magic seems a thing of the past. But soon the Vonahrish will find that magic is their only hope — for an imperialistic race of fanatics, intent on conquering the world, now masses on Vonahr’s borders. Vonahr’s slim chance for salvation lies in a nearby neutral kingdom, where a brilliant savant has conjured up the ultimate weapon: Sentient Fire, a miraculous flame that responds to the command of its maker. Low Hetz’s mad, flamboyant king refuses to relinquish the secret — so the desperate government of Vonahr sends the exquisitely beautiful adventurer Luzelle Devaire to turn his head and change his mind. But to gain an audience, Luzelle must win the Grand Ellipse, a test of endurance, ingenuity, and valor....
Author: Lester Kaufman Publisher: John Wiley & Sons ISBN: 1119652847 Category : Language Arts & Disciplines Languages : en Pages : 272
Book Description
The bestselling workbook and grammar guide, revised and updated! Hailed as one of the best books around for teaching grammar, The Blue Book of Grammar and Punctuation includes easy-to-understand rules, abundant examples, dozens of reproducible quizzes, and pre- and post-tests to help teach grammar to middle and high schoolers, college students, ESL students, homeschoolers, and more. This concise, entertaining workbook makes learning English grammar and usage simple and fun. This updated 12th edition reflects the latest updates to English usage and grammar, and includes answers to all reproducible quizzes to facilitate self-assessment and learning. Clear and concise, with easy-to-follow explanations, offering "just the facts" on English grammar, punctuation, and usage Fully updated to reflect the latest rules, along with even more quizzes and pre- and post-tests to help teach grammar Ideal for students from seventh grade through adulthood in the US and abroad For anyone who wants to understand the major rules and subtle guidelines of English grammar and usage, The Blue Book of Grammar and Punctuation offers comprehensive, straightforward instruction.
Author: Margrit Betke Publisher: Springer Nature ISBN: 303101815X Category : Computers Languages : en Pages : 128
Book Description
Because circular objects are projected to ellipses in images, ellipse fitting is a first step for 3-D analysis of circular objects in computer vision applications. For this reason, the study of ellipse fitting began as soon as computers came into use for image analysis in the 1970s, but it is only recently that optimal computation techniques based on the statistical properties of noise were established. These include renormalization (1993), which was then improved as FNS (2000) and HEIV (2000). Later, further improvements, called hyperaccurate correction (2006), HyperLS (2009), and hyper-renormalization (2012), were presented. Today, these are regarded as the most accurate fitting methods among all known techniques. This book describes these algorithms as well implementation details and applications to 3-D scene analysis. We also present general mathematical theories of statistical optimization underlying all ellipse fitting algorithms, including rigorous covariance and bias analyses and the theoretical accuracy limit. The results can be directly applied to other computer vision tasks including computing fundamental matrices and homographies between images. This book can serve not simply as a reference of ellipse fitting algorithms for researchers, but also as learning material for beginners who want to start computer vision research. The sample program codes are downloadable from the website: https://sites.google.com/a/morganclaypool.com/ellipse-fitting-for-computer-vision-implementation-and-applications.
Author: J. W. Downs Publisher: Courier Corporation ISBN: 0486148882 Category : Mathematics Languages : en Pages : 116
Book Description
Using examples from everyday life, this text studies ellipses, parabolas, and hyperbolas. Explores their ancient origins and describes the reflective properties and roles of curves in design applications. 1993 edition. Includes 98 figures.
Author: Bruce Cameron Reed Publisher: Morgan & Claypool Publishers ISBN: 1643274708 Category : Science Languages : en Pages : 72
Book Description
The development of man's understanding of planetary motions is the crown jewel of Newtonian mechanics. This book offers a concise but self-contained handbook-length treatment of this historically important topic for students at about the third-year-level of an undergraduate physics curriculum. After opening with a review of Kepler's three laws of planetary motion, it proceeds to analyze the general dynamics of 'central force' orbits in spherical coordinates, how elliptical orbits satisfy Newton's gravitational law, and how the geometry of ellipses relates to physical quantities, such as energy and momentum. Exercises are provided, and derivations are set up in such a way that readers can gain analytic practice by filling in the missing steps. A brief bibliography lists sources for readers who wish to pursue further study on their own.
Author: Zakariyya Ishaq
Author: Arthur Mazer
Author: Ulrich Daepp
Author: Jay P. Abramson
Author: Alan Horwitz
Author: Paula Volsky
Author: Lester Kaufman
Author: Margrit Betke
Author: J. W. Downs
Author: Bruce Cameron Reed