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The Joy of Geometry

The Joy of Geometry
Author: Alfred S. Posamentier
Publisher: Rowman & Littlefield
Total Pages: 163
Release: 2020-09-21
Genre: Mathematics
ISBN: 1633885879

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A veteran math educator reveals the hidden fascinations of geometry and why this staple of math education is important.If you remember anything about high school geometry class, it's probably doing proofs. But geometry is more than axioms, postulates, theorems, and proofs. It's the science of beautiful and extraordinary geometric relationships--most of which is lost in high school classrooms where the focus is on the rigor of logically proving those relationships. This book will awaken readers to the appeal of geometry by placing the focus squarely on geometry's visually compelling features and intrinsic elegance. Who knew that straight lines, circles, and area could be so interesting? Not to mention optical illusions. So get out the rulers, compasses, or even a software program, and discover geometry for the first time.


Geometry of the Passions

Geometry of the Passions
Author: Remo Bodei
Publisher: University of Toronto Press
Total Pages: 516
Release: 2018-08-08
Genre: Philosophy
ISBN: 1487517793

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The passions have long been condemned as a creator of disturbance and purveyor of the temporary loss of reason, but as Remo Bodei argues in Geometry of the Passions, we must abandon the perception that order and disorder are in a constant state of collision. By means of a theoretical and historical analysis, Bodei interprets the relationship between passion and reason as a conflict between two complementary logics. Geometry of the Passions investigates the paradoxical conflict-collaboration between passions and reason, and between individual and political projects. Tracing the roles passion and reason have played throughout history, including in the political agendas of Descartes, Hobbes, and the French Jacobins, Geometry of the Passions reveals how passion and reason may be used as a vehicle for affirmation rather than self-enslavement.


Ibn al-Haytham's Theory of Conics, Geometrical Constructions and Practical Geometry

Ibn al-Haytham's Theory of Conics, Geometrical Constructions and Practical Geometry
Author: Roshdi Rashed
Publisher: Routledge
Total Pages: 770
Release: 2013-06-26
Genre: History
ISBN: 1135072531

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Theory of Conics, Geometrical Constructions and Practical Geometry: A History of Arabic Sciences and Mathematics Volume 3, provides a unique primary source on the history and philosophy of mathematics and science from the mediaeval Arab world. The present text is complemented by two preceding volumes of A History of Arabic Sciences and Mathematics, which focused on founding figures and commentators in the ninth and tenth centuries, and the historical and epistemological development of ‘infinitesimal mathematics’ as it became clearly articulated in the oeuvre of Ibn al-Haytham. This volume examines the increasing tendency, after the ninth century, to explain mathematical problems inherited from Greek times using the theory of conics. Roshdi Rashed argues that Ibn al-Haytham completes the transformation of this ‘area of activity,’ into a part of geometry concerned with geometrical constructions, dealing not only with the metrical properties of conic sections but with ways of drawing them and properties of their position and shape. Including extensive commentary from one of world’s foremost authorities on the subject, this book contributes a more informed and balanced understanding of the internal currents of the history of mathematics and the exact sciences in Islam, and of its adaptive interpretation and assimilation in the European context. This fundamental text will appeal to historians of ideas, epistemologists and mathematicians at the most advanced levels of research.


The Joy of Reading

The Joy of Reading
Author: Charles Van Doren
Publisher: Sourcebooks, Inc.
Total Pages: 546
Release: 2008-04-01
Genre: Literary Criticism
ISBN: 1402234376

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"Charles Van Doren has laid a feast before all of us that is irresistible."—Mortimer J. Adler This engaging love letter to reading follows the great authors and classics that transformed the world: from Aristotle and Herodotus in ancient Greece to Salinger and Heinlein in 20th century America. Like a professor whose enthusiasm enwraps his students, Van Doren explains what's wonderful in the books you've missed and awakens your desire to reopen the books you already know. Divided chronologically by the periods in which these classics were written, each book is put in its historical context and brought to life by Van Doren's brilliant analysis. The Joy of Reading delves into a wide range of genres—fiction, poetry, drama, children's books, philosophy, history and science. This is the one book that brings together everything you need to know about the classics you missed and ignites your passion to read and reread the greatest books the world has ever known. This book is the fruit of a lifelong love affair. Reading, I believe, is my favorite thing to do; books and I have been inseparable almost as long as I can remember ... To this day, I become distressed if I am anywhere without a book, a magazine, a newspaper, any scrap of paper to read .... I like the smell of books, certainly the feel of them. Life without books would be, for me, a vacant horror."—Charles Van Doren "Nothing recommends the joy of reading better than the communication of it by a person who has spent a lifetime enriched by the delights of reading. Charles Van Doren is that kind of reader. He has laid a feast before us that is irresistible."—Mortimer J. Adler, author of How to Read a Book "Mr. Van Doren is that rarity, a truly well read man who reads not for professional purposes but for pleasure. His book spurs us on to explore more deeply and joyfully the infinitely varied terrain of good books."—Clifton Fadiman, author of The New Lifetime Reading Plan: The Classical Guide to World Literature


Hierarchical and Geometrical Methods in Scientific Visualization

Hierarchical and Geometrical Methods in Scientific Visualization
Author: Gerald Farin
Publisher: Springer Science & Business Media
Total Pages: 363
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 3642557872

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The nature of the physical Universe has been increasingly better understood in recent years, and cosmological concepts have undergone a rapid evolution (see, e.g., [11], [2],or [5]). Although there are alternate theories, it is generally believed that the large-scale relationships and homogeneities that we see can only be explainedby having the universe expand suddenlyin a very early “in?ationary” period. Subsequent evolution of the Universe is described by the Hubble expansion, the observation that the galaxies are ?ying away from each other. We can attribute di?erent rates of this expansion to domination of di?erent cosmological processes, beginning with radiation, evolving to matter domination, and, relatively recently, to vacuum domination (the Cosmological Constant term)[4]. We assume throughout that we will be relying as much as possible on observational data, with simulations used only for limited purposes, e.g., the appearance of the Milky Wayfrom nearbyintergalactic viewpoints. The visualization of large-scale astronomical data sets using?xed, non-interactive animations has a long history. Several books and ?lms exist, ranging from “Cosmic View: The Universe in Forty Jumps” [3] by Kees Boeke to “Powers of 10” [6,13] by Charles and Ray Eames, and the recent Imax ?lm “Cosmic Voyage” [15]. We have added our own contribution [9], “Cosmic Clock,” which is an animation based entirely on the concepts and implementation described in this paper.


The Book of Mysteries

The Book of Mysteries
Author: Jonathan Cahn
Publisher: Charisma Media
Total Pages: 388
Release: 2016-09-06
Genre: Fiction
ISBN: 1629989428

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New York Times Best Seller! 1500 5-Star Reviews! From the author that brought you NEW YORK TIMES best selling books The Harbinger, The Mystery of the Shemitah, and The Paradigm selling over 3 MILLION copies Imagine if you discovered a treasure chest in which were hidden ancient mysteries, revelations from heaven, secrets of the ages, the answers to man’s most enduring, age-old questions, and the hidden keys that can transform your life to joy, success, and blessing…This is The Book of Mysteries.


The Joy of Sets

The Joy of Sets
Author: Keith Devlin
Publisher: Springer Science & Business Media
Total Pages: 204
Release: 2012-12-06
Genre: Mathematics
ISBN: 146120903X

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This text covers the parts of contemporary set theory relevant to other areas of pure mathematics. After a review of "naïve" set theory, it develops the Zermelo-Fraenkel axioms of the theory before discussing the ordinal and cardinal numbers. It then delves into contemporary set theory, covering such topics as the Borel hierarchy and Lebesgue measure. A final chapter presents an alternative conception of set theory useful in computer science.


A Comprehensive Introduction to Sub-Riemannian Geometry

A Comprehensive Introduction to Sub-Riemannian Geometry
Author: Andrei Agrachev
Publisher: Cambridge University Press
Total Pages: 765
Release: 2019-10-31
Genre: Mathematics
ISBN: 110847635X

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Provides a comprehensive and self-contained introduction to sub-Riemannian geometry and its applications. For graduate students and researchers.


Preschool Geometry

Preschool Geometry
Author: Esther Levenson
Publisher: Springer Science & Business Media
Total Pages: 134
Release: 2012-01-01
Genre: Education
ISBN: 9460916007

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Recently the issue of early childhood mathematics has come to the fore and with it the importance of teaching geometrical concepts and reasoning from a young age. Geometry is a key domain mentioned in many national curricula and may also support the learning of other mathematical topics, such as number and patterns. This book is based on the rich experience (research and practice) of the authors and is devoted entirely to the learning and teaching of geometry in preschool. The first part of the book is dedicated to children’s geometrical thinking, building concept images in line with concept definitions, and the dilemmas that arise in the process. The second part focuses on geometrical tasks and their role in developing and assessing geometrical reasoning. The third part focuses on teaching geometry to young children. Each of the three parts is structured in a similar manner, beginning with general theory and research, continuing with specific examples related to those theories, and moving on to elements of actual practice. Written in a meaningful, yet enjoyable manner, any person who has an interest in the mathematics education of preschool children, be it parents, caregivers, teachers, teacher educators, and researchers, will find this book relevant.


The Geometry of Wealth

The Geometry of Wealth
Author: Brian Portnoy
Publisher: Jaico Publishing House
Total Pages: 222
Release: 2023-04-25
Genre: Business & Economics
ISBN: 8196150768

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HOW DOES MONEY HELP IN CREATING A HAPPY LIFE? In The Geometry of Wealth, behavioral finance expert Brian Portnoy delivers an inspired answer based on the idea that wealth, truly defined, is funded contentment. It is the ability to underwrite a meaningful life. This stands in stark contrast to angling to become rich, which is usually an unsatisfying treadmill. At the heart of this groundbreaking perspective, Portnoy takes readers on a journey toward wealth, informed by disciplines ranging from ancient history to modern neuroscience. He contends that tackling the big questions about a joyful life and tending to financial decisions are complementary, not separate, tasks. These big questions include: • How is the human brain wired for two distinct experiences of happiness? And why can money “buy” one but not the other? • Why is being market savvy among the least important aspects of creating wealth but self-awareness among the most? • Can we strike a balance between pushing for more and being content with enough? This journey memorably contours along three basic shapes: A circle, triangle, and square help us visualize how we adapt to evolving circumstances, set clear priorities, and find empowerment in simplicity. In this accessible and entertaining book, Portnoy reveals that true wealth is achievable for many—including those who despair it is out of reach—but only in the context of a life in which purpose and practice are thoughtfully calibrated.