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The Mathematical Traveler

Author: Calvin C. Clawson
Publisher: Springer
ISBN: 1489960147
Size: 68.28 MB
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As he persuasively argues, the mathematical concepts that arose and flourished in the ancient world enabled the creation of architectural masterpieces as well as the establishment of vast trade networks.

Vom Pal Olithikum Zur Postmoderne Die Genese Unseres Epochen Systems

Author: Andreas Kamp
Publisher: John Benjamins Publishing
ISBN: 9027287368
Size: 21.88 MB
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Dies ist der erste Teil einer zweibändigen Studie zur Genese unseres heutigen, vom Anspruch her den chronologischen Verlauf der gesamten Menschheitsgeschichte strukturierenden „Epochen“-Systems. Der Band skizziert zunächst die geistesgeschichtlichen Prämissen. Von der rudimentären paläolithischen Zeiteinteilung führt er über die ältesten schriftlich dokumentierten Ordnungsversuche in den sumerischen bzw. ägyptischen „Königlisten“, griechische und römische Autoren, Petrarca, Bruni und Vasari bis zu Cellarius, der am Ende des 17. Jahrhunderts die Drei-Zeitalter-Distinktion „Antike-Mittelalter-Neuzeit“ zum zentralen chronologischen Gliederungsprinzip der Weltgeschichte erhob. Anschließend stehen die drei klassischen, von Pyrrhon, Polybios bzw. Ptolemaios entwickelten „Epoché“-Konzepte sowie deren Auftauchen und Rezeption im lateinischen Europa im Fokus. Sodann wird die erstaunlich spät, nämlich erst nach Mitte des 16. Jahrhunderts einsetzende Transformation der „Epoché“ zur fundamentalen historiographischen Ordnungskategorie thematisiert. Schließlich verfolgen wir anhand zahlreicher Autoren sowie der kontemporären Lexikographie ihren auf Latein wie in den relevanten europäischen „Volkssprachen“ (Englisch, Französisch, Deutsch, Spanisch, Portugiesisch, Italienisch) stattfindenden Divulgationsprozeß. Dabei erweist sich der Ausgang des 17. Jahrhunderts erneut als Wasserscheide. Der erste Band endet deshalb an dieser Stelle, der zweite wird dann die weitere Entwicklung von 1700 bis zur Gegenwart analysieren. This is the first part of a two-volume study of the genesis of our modern-day system of epochs, which claims to structure the chronology of the entire history of mankind. The volume sets out by sketching the intellectual premises. It leads from the rudimentary Palaeolithic division of time via the oldest attempts at structuring to have been documented in written form, through to the Sumerian and Egyptian “King Lists”, to Greek and Roman authors, to Petrarch, Bruni, and Vasari, and finally to Cellarius, who in the late 17th century introduced the distinction between the three epochs of “Antiquity, the Middle Ages and the Modern Era” as the basic chronological principle of organising the history of the world. This is followed by a closer look at the three classical concepts of “Epoché” as defined by Pyrrhon, Polybios and Ptolemaios, respectively, as well as their surfacing and reception in Latin Europe. Not until the second half of the 16th century, which is an astonishingly late point in time, can the transformation of “Epoché” into a fundamental category of historiographic structuring be detected. Finally, by studying numerous writers as well as the contemporary lexicography, we will outline the process of divulgation that took place both in Latin as well as in the relevant European “vernaculars” (English, French, German, Spanish, Portuguese, Italian). In the process, the late 17th century again proves to be a kind of divide. As a consequence, volume one ends here; a second volume (forthc.) will analyse the further development to the present day.

A Brief History Of Numbers

Author: Leo Corry
Publisher: OUP Oxford
ISBN: 0191007064
Size: 62.11 MB
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The world around us is saturated with numbers. They are a fundamental pillar of our modern society, and accepted and used with hardly a second thought. But how did this state of affairs come to be? In this book, Leo Corry tells the story behind the idea of number from the early days of the Pythagoreans, up until the turn of the twentieth century. He presents an overview of how numbers were handled and conceived in classical Greek mathematics, in the mathematics of Islam, in European mathematics of the middle ages and the Renaissance, during the scientific revolution, all the way through to the mathematics of the 18th to the early 20th century. Focusing on both foundational debates and practical use numbers, and showing how the story of numbers is intimately linked to that of the idea of equation, this book provides a valuable insight to numbers for undergraduate students, teachers, engineers, professional mathematicians, and anyone with an interest in the history of mathematics.

Why Numbers Count

Author: Lynn Arthur Steen
Publisher: College Board
ISBN:
Size: 11.76 MB
Format: PDF, Kindle
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Discusses the kind of quantitative skills students will need to reason and solve problems in the computer age

Managing The Mean Math Blues

Author: Cheryl Ooten
Publisher:
ISBN: 9780130431691
Size: 16.64 MB
Format: PDF, Kindle
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Dear Reader, My fondest wish is that this book will assist you to succeed with math. Feel free to read it in any order that works for you. This is a book for you to control. The techniques and exercises are here to help you, not to overwhelm or discourage you. If you feel overwhelmed or discouraged, back off and return later. But do return. The rewards are many and great. I have included information I have found useful to math students during 30 years of teaching, so pick and choose. Refer to this book when you need a new and different strategy. Dawn Bigelow, a superb third-grade teacher I taught beside, told me that when she went to a conference she wanted to return withthree new ideas.More than three and she would be too overwhelmed to try them. Fewer than three and she had wasted her time going to the conference. Three was the magic number. When Dawn returned to her third-graders with three new ideas, she could easily incorporate them into the classroom system she already had in progress. You have a system in progress for learning. You only need three new ideas each time you come to this book. More than that and you will be overwhelmed. Fewer than that and you will be wasting your time. Modify your learning system slowly and surely. Incorporate winning ideas and strategies that fit who you are and what you want to accomplish. Skim over the Contents. Mark the topics that look the most promising. Chapter 2, along with the list below, can direct you according to your needs. Features of this book and their purpose are: Introduction and Chapter 1: Motivation to excite you and help you gather courage to confront the blues. Chapter 2: Explanation of routes through this book based on your needs. Chapters 3-6: Effective methods to control overwhelming negative thoughts and feelings about math (or life). Chapters 7-9: Self-discovery about who you are and how you learn best. Chapters 10, 13, 14, and 15: Study skills to use in math class. Chapters 11 and 12: Discussion of shyness and classroom/teacher issues. Chapter 16: Problem-solving strategies. Chapter 17: Test-taking strategies. "Pushing Your Limits," Chapters 1-17: Journal activities to help you question, ponder, plan, and evaluate your math life. "Mastering Math's Mysteries," Chapters 3-6: Practice with numbers and patterns. "Mastering Math's Mysteries," Chapters 7-13: Fraction practice to shore up skills that math students tend to avoid. "Mastering Math's Mysteries," Chapter 15: Practice with spatial visualization. "Mastering Math's Mysteries," Chapters 14, 16, and 17: Practice with strategies discussed in the chapters. "More Mastering Math's Mysteries," in the Appendix: More challenging math practice for the brave of heart. Solutions to "Mastering Math's Mysteries" exercises, in the Appendix. This book is not designed as a math textbook but rather to accompany a math textbook or to prepare you for a math textbook. The math exercises here are just for you to wet your feet. Because I know that every math student brings different experiences and needs, I had difficulty deciding which math topics to include. I chose fractions because they are universally avoided and disliked. The potential exists for you to feel terrific soon if you face them. Be patient with yourself as you wade into new territory. Being curious and willing to experiment can help you to swim sooner than you ever thought possible. Use a life preserver when you need it and never swim alone. My best, Cheryl Ooter

Categories On The Beauty Of Physics

Author: Hilary Thayer Hamann
Publisher:
ISBN:
Size: 59.87 MB
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CategoriesOn the Beauty of Physics is a multidisciplinary, interdisciplinary educational book that uses art, and information from a variety of disciplines to facilitate the reader'ss encounter with challenging material. It promotes scientific literacy, fosters an appreciation of the humanities, and encourages informed and imaginative connections between the sciences and the arts. Categories is a cooperative learning tool through which people (especially educators and students) can engage in academic and value-oriented discussions.

Choice

Author: Association of College and Research Libraries
Publisher:
ISBN:
Size: 52.46 MB
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Thog S Guide To Quantum Economics

Author: Mike Brown
Publisher:
ISBN: 9780976469407
Size: 77.27 MB
Format: PDF
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A philosophical and historical exploration of why accounting is central to any society based on commerce. The book tells the story of a charming 50,000-year-old family of hunter-gatherer-recordkeepers - the Thogs - who describe how they invented or discovered the essential elements for measuring economic activities. Their story reminds todayżs accountants and those involved in financial reporting that the past holds much accounting wisdom for the future. While it is a work of scientific fiction, the story in general is historically accurate. Writing and arithmetic, for example, were first invented for bookkeeping. In telling their story, the Thogs teach a team of real-life cutting-edge complexity scientists how back-to-basics accounting is vital to their agent-based economic modeling. Together, Thogs and scientists offer a glimpse of how to reformulate economics using ideas from physics and biology. The book is a light-hearted read, but it suggests that a serious breakthrough is on the horizon: the ability to test the consequences of our financial and accounting regulations in virtual reality before trying them out on you and me.