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Algebra in Context: Introductory Algebra from Origins to Applications, by Amy Shell-Gellasch, J. B. Thoo
Get Free Ebook Algebra in Context: Introductory Algebra from Origins to Applications, by Amy Shell-Gellasch, J. B. Thoo
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This book’s unique approach to the teaching of mathematics lies in its use of history to provide a framework for understanding algebra and related fields. With Algebra in Context, students will soon discover why mathematics is such a crucial part not only of civilization but also of everyday life. Even those who have avoided mathematics for years will find the historical stories both inviting and gripping.
The book’s lessons begin with the creation and spread of number systems, from the mathematical development of early civilizations in Babylonia, Greece, China, Rome, Egypt, and Central America to the advancement of mathematics over time and the roles of famous figures such as Descartes and Leonardo of Pisa (Fibonacci). Before long, it becomes clear that the simple origins of algebra evolved into modern problem solving. Along the way, the language of mathematics becomes familiar, and students are gradually introduced to more challenging problems. Paced perfectly, Amy Shell-Gellasch and J. B. Thoo’s chapters ease students from topic to topic until they reach the twenty-first century.
By the end of Algebra in Context, students using this textbook will be comfortable with most algebra concepts, including
• Different number bases • Algebraic notation • Methods of arithmetic calculation • Real numbers • Complex numbers • Divisors • Prime factorization • Variation • Factoring • Solving linear equations • False position • Solving quadratic equations • Solving cubic equations • nth roots • Set theory • One-to-one correspondence • Infinite sets • Figurate numbers • Logarithms • Exponential growth • Interest calculations
- Sales Rank: #2237851 in eBooks
- Published on: 2015-10-08
- Released on: 2015-10-08
- Format: Kindle eBook
Review
This book approaches the teaching of algebra to first year undergraduate students with a unique use of the art’s history and development. Students that have already encountered many of these topics in a traditional format in high school or college may find this engaging framework a boon to understanding.
(Mathematical Association of America) About the Author
Amy Shell-Gellasch is an associate professor of mathematics at Montgomery College. She is the editor of Hands on History: A Resource for Teaching Mathematics, the author of In Service to Mathematics: The Life and Work of Mina Rees, and the coeditor of From Calculus to Computers: Using the Last 200 Years of Mathematics History in the Classroom. J. B. Thoo is a mathematics instructor at Yuba College.
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Algebra within its historical fabric
By Alexander Hahn
Algebra is a discipline that is much more than numbers, variables, and their manipulation. There are also the environments which gave rise to it, the efforts of civilizations to understand, measure, and compute quantities relevant and indeed essential to their existence. The development of number systems is one of the basic aspects, the rules for manipulating them is another, and the solutions of equations of different sorts is a third. The Babylonian, Egyptian, Greek, Chinese, Islamic, and Mayan civilizations each wrestled with these agendas, reaching different levels of understanding, and developing different computational practices and tools. At this point, an enriching transformation has occurred: what appear to be merely abstract procedures with goal to deliver numerical answers, now become connected to the fabrics of different cultures and their developments. The book "Algebra in Context" by Amy Shell-Gellasch and J. B. Thoo, embeds the numerical and procedural abstractions of algebra into their historical and cultural contexts in a very attractive and accessible way.
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