Introductory Algebraic Number TheorySuitable for senior undergraduates and beginning graduate students in mathematics, this book is an introduction to algebraic number theory at an elementary level. Prerequisites are kept to a minimum, and numerous examples illustrating the material occur throughout the text. References to suggested readings and to the biographies of mathematicians who have contributed to the development of algebraic number theory are provided at the end of each chapter.
Dr. Euler's Fabulous Formula: Cures Many Mathematical Ills
What are e, pi, and i, and who was Euler? Now, it is hard for me to believe that there are any literate readers in the world who haven't heard of the transcendental numbers e = 2.71828182... and pi = 3.14159265..., and of the imaginary number i. As for Euler, he was surely one of the greatest of all mathematicians. Making lists of the "greatest" is a popular activity these days, and I would wager that the Swiss-born Leonhard Euler (1707-1783) would appear somewhere among the top five mathematicians of all time.
Young Mathematicians at Work, Vol. 3: Constructing Fractions, Decimals, and Percents
In our efforts to reform mathematics education, we've learned a tremendous amount about young students' strategies and the ways they construct knowledge, without fully understanding how to support such development over time. The Dutch do. So, funded by the National Science Foundation and ExxonMobil, Mathematics in the City was begun, a collaborative inservice project that pooled the best thinking from both countries.
The first in a three-volume set, Young Mathematicians at Work focuses on young children between the ages of four and eight as they construct a deep understanding of number and the operations of addition and subtraction. This is a must read for any k-2 teacher. Primarily focused on K-2 teachers this book offers a direct and explicit document to base investigative math. It also gives clear research into the development of young mathematicians (the why). It is a short and concise book that gives you the framework to change your mind-set on teaching math.
