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During the 16th and 17th centuries, mathematicians developed a wealth of new ideas but had not carefully employed accurate definitions, proofs, or procedures to document and implement them. However, in the early 19th century, mathematicians began to recognize the need to precisely define their terms, to logically prove even obvious principles, and to use rigorous methods of manipulation. The Foundations of Mathematics presents the lives and accomplishments of 10 mathematicians who lived between CE 1800 and 1900 and contributed to one or more of the four major initiatives that characterized the rapid growth of mathematics during the 19th century: the introduction of rigor, the investigation of the structure of mathematical systems, the development of new branches of mathematics, and the spread of mathematical activity throughout Europe. This readable new volume communicates the importance and impact of the work of the pioneers who redefined this area of study.
Good teachers do much more than instructing children. They develop a relationship built on trust, honesty, humor, and above all love. When two or more students discuss varied ways to solve problems we have the beginnings of a creative dialogue, which is the root of inventiveness and a direct path to successful collaboration skills. Too often we do not recognize the value of friendships that is buoyed up by the brotherhood or sisterhood among children. There is a force that flows between them, an invisible understanding cementing their friendship
Impelled by a call to share their gifts through service, Russian Mennonite women immigrating to Canada organized their own church societies (Vereine) as avenues of mission and spiritual strengthening. For women who were restricted from leadership positions within the church, these societies became the primary avenue of church involvement. Through them they contributed vast amounts of energy, time and financial resources to the mission activity of the church. The societies thus became a context in which women could speak, pray and creatively give expression to their own understanding of the biblical message. Using primary sources such as reports, letters, minutes, etc., as well as society his...
Praise for the previous edition: “…ample information for reports.”—School Library Journal From 700 BCE to 1300 CE, thousands of scholars from many civilizations introduced mathematical ideas that established the foundations of arithmetic, number theory, algebra, geometry, and trigonometry, as well as the related sciences of astronomy and physics. Although we know very little about specific individuals who made important mathematical discoveries in Babylonia, Egypt, and China, historians in Arabia, ancient Greece, India, and medieval Italy preserved a more complete record, including the identities of some of the innovators. The Birth of Mathematics, Updated Edition profiles 10 individuals spanning four cultures and 20 centuries as representatives of the numerous scholars who contributed to the field of mathematics. The stories of their achievements provide a glimpse into the lives and the minds of some of the pioneers who discovered mathematics. Each unit contains information on the person's research, discoveries, and contributions to the field and concludes with a list of print and Internet references specific to that individual.
Praise for the previous edition: “…ample information for reports.”—School Library Journal During the 16th and 17th centuries, mathematicians developed a wealth of new ideas but had not carefully employed accurate definitions, proofs, or procedures to document and implement them. However, in the early 19th century, mathematicians began to recognize the need to precisely define their terms, to logically prove even obvious principles, and to use rigorous methods of manipulation. The Foundations of Mathematics, Updated Edition presents the lives and accomplishments of 10 mathematicians who contributed to one or more of the four major initiatives that characterized the rapid growth of mat...
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