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The Ellipse
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Download or read book The Ellipse written by Arthur Mazer and published by John Wiley & Sons. This book was released on 2011-09-26 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Ellipse written by Zakariyya Ishaq and published by CCB Publishing. This book was released on 2008-08 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Finding Ellipses: What Blaschke Products, Poncelet’s Theorem, and the Numerical Range Know about Each Other by : Ulrich Daepp
Download or read book Finding Ellipses: What Blaschke Products, Poncelet’s Theorem, and the Numerical Range Know about Each Other written by Ulrich Daepp and published by American Mathematical Soc.. This book was released on 2018 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The elements of the ellipse, together with the radii of curvature, &c. relating to that curve. To which is added, the first of dr. Matthew Stewart's Tracts by : James Adams (of Stonehouse, Plymouth.)
Download or read book The elements of the ellipse, together with the radii of curvature, &c. relating to that curve. To which is added, the first of dr. Matthew Stewart's Tracts written by James Adams (of Stonehouse, Plymouth.) and published by . This book was released on 1818 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Elements of the Ellipse, Together with the Radii of Curvature, &c. Relating to that Curve; and of Centripetal and Centrifugal Forces in Elliptical Orbits: to which is Added, the First of Dr. M. Stewart's Tracts. By James Adams by : James Adams
Download or read book The Elements of the Ellipse, Together with the Radii of Curvature, &c. Relating to that Curve; and of Centripetal and Centrifugal Forces in Elliptical Orbits: to which is Added, the First of Dr. M. Stewart's Tracts. By James Adams written by James Adams and published by . This book was released on 1818 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Grand Ellipse written by Paula Volsky and published by Spectra. This book was released on 2011-03-02 with total page 674 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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....
Book Synopsis The Ellipse by : Leonardo Sinisgalli
Download or read book The Ellipse written by Leonardo Sinisgalli and published by . This book was released on 1982 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Description for this book, The Ellipse: Selected Poems of Leonardo Sinisgalli, will be forthcoming.
Book Synopsis Algebra and Trigonometry by : Jay P. Abramson
Download or read book Algebra and Trigonometry written by Jay P. Abramson and published by . This book was released on 2015-02-13 with total page 1564 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The text is suitable for a typical introductory algebra course, and was developed to be used flexibly. While the breadth of topics may go beyond what an instructor would cover, the modular approach and the richness of content ensures that the book meets the needs of a variety of programs."--Page 1.
Book Synopsis Feynman's Lost Lecture by : David Goodstein
Download or read book Feynman's Lost Lecture written by David Goodstein and published by W. W. Norton & Company. This book was released on 2009-11-06 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Glorious."—Wall Street Journal Rescued from obscurity, Feynman's Lost Lecture is a blessing for all Feynman followers. Most know Richard Feynman for the hilarious anecdotes and exploits in his best-selling books "Surely You're Joking, Mr. Feynman!" and "What Do You Care What Other People Think?" But not always obvious in those stories was his brilliance as a pure scientist—one of the century's greatest physicists. With this book and CD, we hear the voice of the great Feynman in all his ingenuity, insight, and acumen for argument. This breathtaking lecture—"The Motion of the Planets Around the Sun"—uses nothing more advanced than high-school geometry to explain why the planets orbit the sun elliptically rather than in perfect circles, and conclusively demonstrates the astonishing fact that has mystified and intrigued thinkers since Newton: Nature obeys mathematics. David and Judith Goodstein give us a beautifully written short memoir of life with Feynman, provide meticulous commentary on the lecture itself, and relate the exciting story of their effort to chase down one of Feynman's most original and scintillating lectures.
Book Synopsis Journal of the Society of Arts by : Royal Society of Arts (Great Britain)
Download or read book Journal of the Society of Arts written by Royal Society of Arts (Great Britain) and published by . This book was released on 1902 with total page 970 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Treatise on Plane Co-ordinate Geometry as Applied to the Straight Line and the Conic Sections by : Isaac Todhunter
Download or read book A Treatise on Plane Co-ordinate Geometry as Applied to the Straight Line and the Conic Sections written by Isaac Todhunter and published by . This book was released on 1881 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Handbook of Ornament by : Franz Sales Meyer
Download or read book A Handbook of Ornament written by Franz Sales Meyer and published by . This book was released on 1894 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Shades and Shadows and Perspective by : Otis Everett Randall
Download or read book Shades and Shadows and Perspective written by Otis Everett Randall and published by . This book was released on 1902 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Elements of Analytic Geometry by : George Albert Wentworth
Download or read book Elements of Analytic Geometry written by George Albert Wentworth and published by . This book was released on 1886 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis American Journal of Mathematics by :
Download or read book American Journal of Mathematics written by and published by . This book was released on 1906 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: The American Journal of Mathematics publishes research papers and articles of broad appeal covering the major areas of contemporary mathematics.
Book Synopsis Bryn Mawr College Monographs by : Bryn Mawr College
Download or read book Bryn Mawr College Monographs written by Bryn Mawr College and published by . This book was released on 1909 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Solid Edge 2023 for Designers, 20th Edition by : Prof. Sham Tickoo
Download or read book Solid Edge 2023 for Designers, 20th Edition written by Prof. Sham Tickoo and published by CADCIM Technologies. This book was released on 2023-05-29 with total page 938 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solid Edge 2023 for Designers book introduces the readers to Solid Edge 2023, one of the world's leading parametric solid modeling packages. Consisting of 15 chapters, the book covers the Part, Assembly, Drafting, and Sheet Metal environments of Solid Edge 2023. Both synchronous and ordered environments are discussed throughout this book. Also, 3D sketching is discussed in both synchronous and ordered environments. 3D sketching combines the speed and flexibility of modeling with precise control on dimension-driven designs, thereby providing tremendous productivity gains over traditional methods. The author emphasizes on the solid modeling and editing techniques that enhance the productivity and efficiency of the users. In addition, chapters have tutorials and exercises that are based on the tools discussed in the chapter to help users initially learn the tools and concepts and then understand their practical usage and working. Salient Features Comprehensive coverage of Solid Edge 2023 concepts and techniques Detailed explanation of all commands and tools Tutorial approach to explain concepts Hundreds of illustrations for easy understanding of concepts Step-by-step instructions to guide the users through the learning process Additional information throughout the book in the form of notes and tips Real-world mechanical engineering designs as tutorials, exercises, and projects Self-Evaluation Tests and Review Questions for tests Table of Contents Chapter 1: Introduction to Solid Edge 2023 Chapter 2: Sketching, Dimensioning, and Creating Base Features and Drawings Chapter 3: Adding Relationships and Dimensions to Sketches Chapter 4: Editing, Extruding, and Revolving the Sketches Chapter 5: Working with Additional Reference Geometries Chapter 6: Advanced Modeling Tools-I Chapter 7: Editing Features Chapter 8: Advanced Modeling Tools-II Chapter 9: Advanced Modeling Tools-III Chapter 10: Assembly Modeling-I Chapter 11: Assembly Modeling-II Chapter 12: Generating, Editing, and Dimensioning Drawing Views Chapter 13: Surface Modeling Chapter 14: Sheet Metal Design Chapter 15: Introduction to Convergent Modeling Student Projects Index
