Mathematics and the Imagination

Mathematics and the Imagination PDF Author: Edward Kasner
Publisher: Courier Corporation
ISBN: 0486320278
Category : Mathematics
Languages : en
Pages : 402

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Book Description
With wit and clarity, the authors progress from simple arithmetic to calculus and non-Euclidean geometry. Their subjects: geometry, plane and fancy; puzzles that made mathematical history; tantalizing paradoxes; more. Includes 169 figures.

Mathematics and the Imagination

Mathematics and the Imagination PDF Author: Edward Kasner
Publisher: Courier Corporation
ISBN: 0486320278
Category : Mathematics
Languages : en
Pages : 402

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Book Description
With wit and clarity, the authors progress from simple arithmetic to calculus and non-Euclidean geometry. Their subjects: geometry, plane and fancy; puzzles that made mathematical history; tantalizing paradoxes; more. Includes 169 figures.

The Cambridge Companion to Leibniz

The Cambridge Companion to Leibniz PDF Author: Nicholas Jolley
Publisher: Cambridge University Press
ISBN: 9780521367691
Category : Philosophy
Languages : en
Pages : 520

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Book Description
The most comprehensive account of the full range of Leibniz's thought.

Gaither's Dictionary of Scientific Quotations

Gaither's Dictionary of Scientific Quotations PDF Author: Carl C. Gaither
Publisher: Springer Science & Business Media
ISBN: 0387495770
Category : Science
Languages : en
Pages : 1895

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Book Description
Scientists and other keen observers of the natural world sometimes make or write a statement pertaining to scientific activity that is destined to live on beyond the brief period of time for which it was intended. This book serves as a collection of these statements from great philosophers and thought–influencers of science, past and present. It allows the reader quickly to find relevant quotations or citations. Organized thematically and indexed alphabetically by author, this work makes readily available an unprecedented collection of approximately 18,000 quotations related to a broad range of scientific topics.

Masters of Mathematics

Masters of Mathematics PDF Author: Robert A. Nowlan
Publisher: Springer
ISBN: 9463008934
Category : Education
Languages : en
Pages : 623

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Book Description
The original title for this work was “Mathematical Literacy, What Is It and Why You Need it”. The current title reflects that there can be no real learning in any subject, unless questions of who, what, when, where, why and how are raised in the minds of the learners. The book is not a mathematical text, and there are no assigned exercises or exams. It is written for reasonably intelligent and curious individuals, both those who value mathematics, aware of its many important applications and others who have been inappropriately exposed to mathematics, leading to indifference to the subject, fear and even loathing. These feelings are all consequences of meaningless presentations, drill, rote learning and being lost as the purpose of what is being studied. Mathematics education needs a radical reform. There is more than one way to accomplish this. Here the author presents his approach of wrapping mathematical ideas in a story. To learn one first must develop an interest in a problem and the curiosity to find how masters of mathematics have solved them. What is necessary to be mathematically literate? It’s not about solving algebraic equations or even making a geometric proof. These are valuable skills but not evidence of literacy. We often seek answers but learning to ask pertinent questions is the road to mathematical literacy. Here is the good news: new mathematical ideas have a way of finding applications. This is known as “the unreasonable effectiveness of mathematics.”

Intellectual Development and Mathematics Learning

Intellectual Development and Mathematics Learning PDF Author: Chongde Lin
Publisher: Springer Nature
ISBN: 9811987572
Category : Education
Languages : en
Pages : 277

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Book Description
This book introduces the outcomes of author’s 40 years of research, especially the theory of “the Triangular Pyramid Structure of Thinking” that he independently proposed, and the application of his development theory in the field of mathematics education. The book firstly explains the substantial character of intelligence, the development law of intelligence, and the relationship between intelligence development and creativity cultivation. Secondly, it discusses the structure of mathematical thinking of children and adolescents from 0 to 18 years old, and the methods of developing students’ thinking ability and the quality of intelligence through arithmetic learning. In the end, this book also demonstrates the characteristics of the development of mathematical thinking ability of children at age 0-6, elementary school students, and secondary school students, and the related latest research in this field. Based on the theory of “the Triangular Pyramid Structure of Thinking”, a number of examples are given to illustrate how the theory of intelligence development can be used in mathematics teaching to promote the development of students’ thinking abilities and to improve the quality of teaching. This book covers various areas including psychology, mathematics, and education. It has a great reference value for scholars in the field of psychology to study the theory of intelligence and the structure of thinking, providing guidance for parents and mathematics teachers to promote children’s quality of intelligence and mathematical thinking abilities, and to enhance their mathematics learning effects. In addition, it provides examples for psychological research to serve specific subject teaching in elementary and secondary schools.

Imagine Math 3

Imagine Math 3 PDF Author: Michele Emmer
Publisher: Springer
ISBN: 3319012312
Category : Mathematics
Languages : en
Pages : 468

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Book Description
Imagine mathematics, imagine with the help of mathematics, imagine new worlds, new geometries, new forms. This volume in the series “Imagine Math” casts light on what is new and interesting in the relationships between mathematics, imagination and culture. The book opens by examining the connections between modern and contemporary art and mathematics, including Linda D. Henderson’s contribution. Several further papers are devoted to mathematical models and their influence on modern and contemporary art, including the work of Henry Moore and Hiroshi Sugimoto. Among the many other interesting contributions are an homage to Benoît Mandelbrot with reference to the exhibition held in New York in 2013 and the thoughts of Jean-Pierre Bourguignon on the art and math exhibition at the Fondation Cartier in Paris. An interesting part is dedicated to the connections between math, computer science and theatre with the papers by C. Bardainne and A. Mondot. The topics are treated in a way that is rigorous but captivating, detailed but very evocative. This is an all-embracing look at the world of mathematics and culture.

The Teaching of Mathematics in the Elementary and the Secondary School

The Teaching of Mathematics in the Elementary and the Secondary School PDF Author: Jacob William Albert Young
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 384

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Book Description


Rorty

Rorty PDF Author: Amélie Rorty
Publisher: Univ of California Press
ISBN: 9780520054967
Category : Philosophy
Languages : en
Pages : 560

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Book Description


A Companion to Rationalism

A Companion to Rationalism PDF Author: Alan Nelson
Publisher: John Wiley & Sons
ISBN: 1118394208
Category : Philosophy
Languages : en
Pages : 716

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Book Description
This book is a wide-ranging examination of rationalist thought in philosophy from ancient times to the present day. Written by a superbly qualified cast of philosophers Critically analyses the concept of rationalism Focuses principally on the golden age of rationalism in the seventeenth and early eighteenth centuries Also covers ancient rationalism, nineteenth-century rationalism, and rationalist themes in recent thought Organised chronologically Various philosophical methods and viewpoints are represented

Picturing Knowledge

Picturing Knowledge PDF Author: Brian Scott Baigrie
Publisher: University of Toronto Press
ISBN: 9780802074393
Category : Science
Languages : en
Pages : 420

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Book Description
The contributors to this volume examine the historical and philosophical issues concerning the role that scientific illustration plays in the creation of scientific knowledge.