Conceptual Roots of Mathematics

Conceptual Roots of Mathematics

Author: J.R. Lucas

Publisher: Routledge

Published: 2002-09-11

Total Pages: 471

ISBN-13: 1134622279

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The Conceptual Roots of Mathematics is a comprehensive study of the foundation of mathematics. J.R. Lucas, one of the most distinguished Oxford scholars, covers a vast amount of ground in the philosophy of mathematics, showing us that it is actually at the heart of the study of epistemology and metaphysics.


Conceptual Mathematics

Conceptual Mathematics

Author: F. William Lawvere

Publisher: Cambridge University Press

Published: 2009-07-30

Total Pages: 409

ISBN-13: 0521894859

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This truly elementary book on categories introduces retracts, graphs, and adjoints to students and scientists.


Principles of Mathematics Book 1 Teacher Guide

Principles of Mathematics Book 1 Teacher Guide

Author: Katherine Loop

Publisher: New Leaf Publishing Group

Published: 2016-08-05

Total Pages: 31

ISBN-13: 0890519919

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Teacher Guide for Book 1 of the Principles of Mathematics - Biblical Worldview Curriculum for junior high! Math is a real-life tool that points us to God and helps us explore His creation, yet it often comes across as dry facts and meaningless rules. Here at last is a curriculum that has a biblical worldview integrated throughout the text and problems, not just added as an afterthought. The resources in the Teacher Guide will help students master and apply the skills learned in the Student Textbook. What does this Teacher Guide include? Worksheets, Quizzes, and Tests: These perforated, three-hole punched pages help provide practice on the principles taught in the main student textbook.Answer Keys: The answers are included for the worksheets, quizzes, and tests found in this Teacher Guide.Schedule: A suggested calendar schedule is provided for completing the material in one year, though this can be adapted to meet individual student needs. There is also an accelerated schedule for completing the material in one semester. Are there any prerequisites for this course? This curriculum is aimed at grades 6-8, fitting into most math approaches the year or two years prior to starting high school algebra. If following traditional grade levels, Book 1 should be completed in grade 6 or 7, and Book 2 in grade 7 or 8. In Book 1 students should have a basic knowledge of arithmetic (basic arithmetic will be reviewed, but at a fast pace and while teaching problem-solving skills and a biblical worldview of math) and sufficient mental development to think through the concepts and examples given. Typically, anyone in sixth grade or higher should be prepared to begin. The focus of the course is actually learning math for life, not simply preparing to pass a test.


Conceptual Roots of Mathematics

Conceptual Roots of Mathematics

Author: J.R. Lucas

Publisher: Routledge

Published: 2002-09-11

Total Pages: 469

ISBN-13: 1134622260

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The Conceptual Roots of Mathematics is a comprehensive study of the foundation of mathematics. J.R. Lucas, one of the most distinguished Oxford scholars, covers a vast amount of ground in the philosophy of mathematics, showing us that it is actually at the heart of the study of epistemology and metaphysics.


Journey through Mathematics

Journey through Mathematics

Author: Enrique A. González-Velasco

Publisher: Springer Science & Business Media

Published: 2011-08-08

Total Pages: 479

ISBN-13: 0387921540

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This book offers an accessible and in-depth look at some of the most important episodes of two thousand years of mathematical history. Beginning with trigonometry and moving on through logarithms, complex numbers, infinite series, and calculus, this book profiles some of the lesser known but crucial contributors to modern day mathematics. It is unique in its use of primary sources as well as its accessibility; a knowledge of first-year calculus is the only prerequisite. But undergraduate and graduate students alike will appreciate this glimpse into the fascinating process of mathematical creation. The history of math is an intercontinental journey, and this book showcases brilliant mathematicians from Greece, Egypt, and India, as well as Europe and the Islamic world. Several of the primary sources have never before been translated into English. Their interpretation is thorough and readable, and offers an excellent background for teachers of high school mathematics as well as anyone interested in the history of math.


History of Analytic Geometry

History of Analytic Geometry

Author: Carl B. Boyer

Publisher: Courier Corporation

Published: 2012-06-28

Total Pages: 306

ISBN-13: 0486154513

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This study presents the concepts and contributions from before the Alexandrian Age through to Fermat and Descartes, and on through Newton and Euler to the "Golden Age," from 1789 to 1850. 1956 edition. Analytical bibliography. Index.


Postmodern Philosophy and the Scientific Turn

Postmodern Philosophy and the Scientific Turn

Author: Dorothea Olkowski

Publisher: Indiana University Press

Published: 2012-04-23

Total Pages: 249

ISBN-13: 0253001129

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What can come of a scientific engagement with postmodern philosophy? Some scientists have claimed that the social sciences and humanities have nothing to contribute, except perhaps peripherally, to their research. Dorothea E. Olkowski shows that the historic link between science and philosophy, mathematics itself, plays a fundamental role in the development of the worldviews that drive both fields. Focusing on language, its expression of worldview and usage, she develops a phenomenological account of human thought and action to explicate the role of philosophy in the sciences. Olkowski proposes a model of phenomenology, both scientific and philosophical, that helps make sense of reality and composes an ethics for dealing with unpredictability in our world.


Thinking about Mathematics

Thinking about Mathematics

Author: Stewart Shapiro

Publisher: OUP Oxford

Published: 2000-07-13

Total Pages: 323

ISBN-13: 0192893068

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Thinking about Mathematics covers the range of philosophical issues and positions concerning mathematics. The text describes the questions about mathematics that motivated philosophers throughout history and covers historical figures such as Plato, Aristotle, Kant, and Mill. It also presents the major positions and arguments concerning mathematics throughout the twentieth century, bringing the reader up to the present positions and battle lines.