Groups and Symmetry PDF, ePub eBook

Groups and Symmetry.pdf

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Mathematics is discovered by looking at examples, noticing patterns, making conjectures, and testing those conjectures. Once discovered, the final results get organized and put in textbooks. The details and the excitement of the discovery are lost. This book introduces the reader to the excitement of the original discovery. By means of a wide variety of tasks, readers are led to find interesting examples, notice patterns, devise rules to explain the patterns, and discover mathematics for themselves. The subject studied here is the mathematics behind the idea of symmetry, but the methods and ideas apply to all of mathematics. The only prerequisites are enthusiasm and a knowledge of basic high-school math. The book is only a guide. It will start you off in the right direction and bring you back if you stray too far. The excitement and the discovery are left to you.

File Name:Groups and Symmetry
Posted By:David W. Farmer
Published on 1996 by American Mathematical Soc.
ISBN-10:0821804502
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Textbooks in School and Society PDF, ePub eBook

Textbooks in School and Society.pdf

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First published in 1988. Routledge is an imprint of Taylor & Francis, an informa company.

File Name:Textbooks in School and Society
Posted By:Arthur Woodward,David L. Elliot,Kathleen Carter Nagel
Published on 2013-08-21 by Routledge
ISBN-10:1135830975
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The Oxford Handbook of the History of Mathematics PDF, ePub eBook

The Oxford Handbook of the History of Mathematics.pdf

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This Handbook explores the history of mathematics under a series of themes which raise new questions about what mathematics has been and what it has meant to practise it. It addresses questions of who creates mathematics, who uses it, and how. A broader understanding of mathematical practitioners naturally leads to a new appreciation of what counts as a historical source. Material and oral evidence is drawn upon as well as an unusual array of textual sources. Further, the ways in which people have chosen to express themselves are as historically meaningful as the contents of the mathematics they have produced. Mathematics is not a fixed and unchanging entity. New questions, contexts, and applications all influence what counts as productive ways of thinking. Because the history of mathematics should interact constructively with other ways of studying the past, the contributors to this book come from a diverse range of intellectual backgrounds in anthropology, archaeology, art history, philosophy, and literature, as well as history of mathematics more traditionally understood. The thirty-six self-contained, multifaceted chapters, each written by a specialist, are arranged under three main headings: 'Geographies and Cultures', 'Peoples and Practices', and 'Interactions and Interpretations'. Together they deal with the mathematics of 5000 years, but without privileging the past three centuries, and an impressive range of periods and places with many points of cross-reference between chapters. The key mathematical cultures of North America, Europe, the Middle East, India, and China are all represented here as well as areas which are not often treated in mainstream history of mathematics, such as Russia, the Balkans, Vietnam, and South America. A vital reference for graduates and researchers in mathematics, historians of science, and general historians.

File Name:The Oxford Handbook of the History of Mathematics
Posted By:Eleanor Robson,Jacqueline Stedall
Published on 2008-12-18 by OUP Oxford
ISBN-10:0191607444
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From Text to 'Lived' Resources PDF, ePub eBook

From Text to 'Lived' Resources.pdf

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What kinds of curriculum materials do mathematics teachers select and use, and how? This question is complex, in a period of deep evolutions of teaching resources, with the proficiency of online resources in particular. How do teachers learn from these materials, and in which ways do they ‘tailor’ them for their use and pupil learning? Teachers collect resources, select, transform, share, implement, and revise them. Drawing from the French term « ingénierie documentaire »,we call these processes « documentation ». The literal English translation is « to work with documents », but the meaning it carries is richer. Documentation refers to the complex and interactive ways that teachers work with resources; in-class and out-of-class, individually, but also collectively.

File Name:From Text to 'Lived' Resources
Posted By:Ghislaine Gueudet,Birgit Pepin,Luc Trouche
Published on 2011-09-06 by Springer Science & Business Media
ISBN-10:9400719663
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Errors in South African secondary school mathematics textbooks PDF, ePub eBook

Errors in South African secondary school mathematics textbooks.pdf

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File Name:Errors in South African secondary school mathematics textbooks
Posted By:Carol Harris
Published on 1998 by
ISBN-10:
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Revise for Core Mathematics 2 PDF, ePub eBook

Revise for Core Mathematics 2.pdf

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The clear route to A Level success - new Core titles for the new specification Written by the same authors as the textbooks for a complete match, so are ideal for use alongside the course books. Worked examination questions and examples with hints on answering questions successfully help students push for those top grades. A test-yourself section makes sure students are fully prepared for the exam. Key points help reinforce learning and help students reach their best potential. Answers to all the questions ensure students can check their work. Written by experienced Senior Examiners.

File Name:Revise for Core Mathematics 2
Posted By:Keith Pledger,Michael Kenwood
Published on 2005 by Heinemann
ISBN-10:0435511238
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Mathematical Ciphers PDF, ePub eBook

Mathematical Ciphers.pdf

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A cipher is a scheme for creating coded messages for the secure exchange of information. Throughout history, many different coding schemes have been devised. One of the oldest and simplest mathematical systems was used by Julius Caesar. This is where Mathematical Ciphers begins. Building on that simple system, Young moves on to more complicated schemes, ultimately ending with the RSA cipher, which is used to provide security for the Internet. This book is structured differently from most mathematics texts. It does not begin with a mathematical topic, but rather with a cipher. The mathematics is developed as it is needed; the applications motivate the mathematics. As is typical in mathematics textbooks, most chapters end with exercises. Many of these problems are similar to solved examples and are designed to assist the reader in mastering the basic material. A few of the exercises are one-of-a-kind, intended to challenge the interested reader. Implementing encryption schemes is considerably easier with the use of the computer. For all the ciphers introduced in this book, JavaScript programs are available from the Web. In addition to developing various encryption schemes, this book also introduces the reader to number theory. Here, the study of integers and their properties is placed in the exciting and modern context of cryptology. Mathematical Ciphers can be used as a textbook for an introductory course in mathematics for all majors. The only prerequisite is high school mathematics.

File Name:Mathematical Ciphers
Posted By:Anne L. Young
Published on 2006 by American Mathematical Soc.
ISBN-10:0821837303
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