Explores sets and relations, the natural number sequence and its generalization, extension of natural numbers to real numbers, logic, informal axiomatic mathematics, Boolean algebras, informal axiomatic set theory, several algebraic theories, and 1st-order theories.
Advanced undergraduate and first-year graduate students have long regarded this text as one of the best available works on matrix theory in the context of modern algebra. Teachers and students will find it particularly suited to bridging the gap between ordinary undergraduate mathematics and completely abstract mathematics. The first five chapters treat topics important to economics, psychology, statistics, physics, and mathematics. Subjects include equivalence relations for matrixes, postulational approaches to determinants, and bilinear, quadratic, and Hermitian forms in their natural settings. The final chapters apply chiefly to students of engineering, physics, and advanced mathematics. They explore groups and rings, canonical forms for matrixes with respect to similarity via representations of linear transformations, and unitary and Euclidean vector spaces. Numerous examples appear throughout the text.
One of the best available works on matrix theory in the context of modern algebra, this text bridges the gap between ordinary undergraduate studies and completely abstract mathematics. 1952 edition.
Explores sets and relations, the natural number sequence and its generalization, extension of natural numbers to real numbers, logic, informal axiomatic mathematics, Boolean algebras, informal axiomatic set theory, several algebraic theories, and 1st-order theories.
Teaching Recent Global History explores innovative ways to teach world history, beginning with the early 20th century. The authors’ unique approach unites historians, social studies teachers, and educational curriculum specialists to offer historically rich, pedagogically innovative, and academically rigorous lessons that help students connect with and deeply understand key events and trends in recent global history. Highlighting the best scholarship for each major continent, the text explores the ways that this scholarship can be adapted by teachers in the classroom in order to engage and inspire students. Each of the eight main chapters highlights a particularly important event or theme, which is then complemented by a detailed discussion of a particular methodological approach. Key features include: • An overarching narrative that helps readers address historical arguments; • Relevant primary documents or artifacts, plus a discussion of a particular historical method well-suited to teaching about them; • Lesson plans suitable for both middle and secondary level classrooms; • Document-based questions and short bibliographies for further research on the topic. This invaluable book is ideal for any aspiring or current teacher who wants to think critically about how to teach world history and make historical discussions come alive for students.
A fully updated and expanded edition of the bestselling guide on toxicology and its practical application • Covers the diverse chemical hazards encountered in the modern work and natural environment, and provides a practical understanding of these hazards • New chapters cover the emerging areas of toxicology such as omics, computational toxicology, and nanotoxicology • Provides clear explanations and practical understanding of the fundamentals necessary for an understanding of the effects of chemical hazards on human health and ecosystems • Includes case histories and examples from industry demonstrate the application of toxicological principles • Supplemented with numerous illustrations to clarify and summarize key points, annotated bibliographies, and a comprehensive glossary of toxicological terms
This resource brings together an incredible blend of leading educational thinkers. Their diverse experiences, perspectives, and wisdom will stimulate in leaders the ′deep work′ of the heart, mind, and soul essential for creating schools that continuously improve teaching, learning, and relationships in ways that benefit all members of the school community." —Dennis Sparks, Emeritus Executive Director National Staff Development Council A concise volume packed with research and innovative ideas from today′s key thinkers! Professional learning communities have become a significant factor in improving instructional effectiveness and student achievement. In the third volume of The Soul of Educational Leadership series, educators and leaders will discover key concepts and strategies for sustaining the critically important work of these communities. Contributions from Shirley M. Hord, Maurice J. Elias, Karen Seashore Louis, Andy Hargreaves, Stephanie A. Hirsh, and other nationally known educators highlight: Leadership teams and a collaborative culture The National Board for Professional Teaching Standards Multiple approaches for supporting social-emotional learning in schools Leadership, real-world challenges, and moral choices A thought-provoking collection from educational visionaries, Sustaining Professional Learning Communities is essential reading for all school leaders committed to strengthening learning environments.
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