Big ideas for expanding minds

Sample

James J. Callahan

With a fresh geometric approach that incorporates more than 250 illustrations, this textbook sets itself apart from all others in advanced calculus. Besides the classical capstones--the change of variables formula, implicit and inverse function theorems, the integral theorems of Gauss and Stokes--the text treats other important topics in differential analysis, such as Morse's lemma and the Poincaré lemma. The ideas behind most topics can be understood with just two or three variables. This invites geometric visualization; the book incorporates modern computational tools to give visualization real power. Using 2D and 3D graphics, the book offers new insights into fundamental elements of the calculus of differentiable maps, such as the role of the derivative as the local linear approximation to a map and its role in the change of variables formula for multiple integrals. The geometric theme continues with an analysis of the physical meaning of the divergence and the curl at a level of detail not found in other advanced calculus books. Advanced Calculus: A Geometric View is a textbook for undergraduates and graduate students in mathematics, the physical sciences, and economics. Prerequisites are an introduction to linear algebra and multivariable calculus. There is enough material for a year-long course on advanced calculus and for a variety of semester courses--including topics in geometry. It avoids duplicating the material of real analysis. The measured pace of the book, with its extensive examples and illustrations, make it especially suitable for independent study.

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Terry Husband

"Recent national achievement data reveal significant outcome disparities between African American boys and other student groups by grade 4. This issue has drawn much attention from teachers, parents, researchers, and policy makers all across the United States of America. African American boys are not homogeneous in nature. Consequently, Read and Succeed: Practices to Support Reading Skills in African American Boys begins by identifying a host of potential factors that contribute to reading disengagement and under-achievement in African American boys in P-5 contexts. This book presents and discusses a multi-strategic framework for teachers, administrators, librarians, and parents to implement collaboratively to combat this issue. Read and Succeed additionally provides valuable and practical resources for teachers, administrators, and other school officials to use to increase reading engagement and achievement in African American boys."-- Provided by publisher.

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Mike Hayhoe and Stephen Parker

This wide-ranging collection brings together views about the nature of 'English' and its users at an unusual time. Within the United Kingdom - and in some other countries - there is a feeling of unease that language and literacy are in decline and that their central role in developing a sense of national unity and heritage is weakening. Governmental response to this perception is to move towards centralized, state-imposed curricula and assessment, seeking to guarantee standards through legislation. At the same time that the original source of English feels insecure, other countries and cultures become increasingly confident about taking over its use and ownership on their own terms and within their own cultures. Several of the authors here celebrate the diverse ways in which people across the world are developing their own distinctive varieties of English. In exploring these contradictory, defensive and optimistic attitudes towards the inevitability of linguistic and cultural change, the volume's contributors demonstrate the current liveliness and intensity of discussion about this perennial and increasingly debated topic.

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Jeff Gill

"More than ever before, modern social scientists require a basic level of mathematical literacy, yet many students receive only limited mathematical training prior to beginning their research careers. This textbook addresses this dilemma by offering a comprehensive, unified introduction to the essential mathematics of social science. Throughout the book the presentation builds from first principles and eschews unnecessary complexity. Most importantly, the discussion is thoroughly and consistently anchored in real social science applications, with more than 80 research-based illustrations woven into the text and featured in end-of-chapter exercises. Students and researchers alike will find this first-of-its-kind volume to be an invaluable resource."--Jacket.