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Functions Modeling Change, 6th edition prepares students for Calculus by stressing conceptual understanding and the connections among mathematical ideas. The authors emphasize depth of understanding rather than breadth of coverage. Each function is presented symbolically, numerically, graphically and verbally (the Rule of Four.) Students are encouraged to create mathematical models that relate to the world around them and are exposed to a large number of real-world applications, examples, and problems.
The 7th edition of Applied Calculus focuses on the "Rule of Four" (viewing problems graphically, numerically, symbolically, and verbally) to promote critical thinking to reveal solutions to mathematical problems. This approach reinforces the conceptual understanding necessary to reduce complicated problems to simple procedures without losing sight of the practical value of mathematics. In this edition, the authors continue their focus on introducing different perspectives for students with updated applications, exercises, and an increased emphasis on active learning.
An accessible Precalculus text with concepts, examples, and problems The sixth edition of Functions Modeling Change: A Preparation for Calculus helps students establish a foundation for studying Calculus. The text covers key Precalculus topics, examples, and problems. Chapters examine linear, quadratic, logarithmic, exponential, polynomial, and rational functions. They also explore trigonometry and trigonometric Identities, plus vectors and matrices. The end of each chapter offers details on how students can strengthen their knowledge about the topics covered.
Calculus: Single Variable, 8th Edition promotes active learning by providing students across multiple majors with a variety of problems with applications from the physical sciences, medicine, economics, engineering, and more. Designed to promote critical thinking to solve mathematical problems while highlighting the practical value of mathematics, the textbook brings calculus to real life with engaging and relevant examples, numerous opportunities to master key mathematical concepts and skills, and a student-friendly approach that reinforces the conceptual understanding necessary to reduce complicated problems to simple procedures. Developed by the Harvard University Calculus Consortium, Calculus focuses on the Rule of Four—viewing problems graphically, numerically, symbolically, and verbally—with particular emphasis placed on introducing a variety of perspectives for students with different learning styles. The eighth edition provides more problem sets, up-to-date examples, and a range of new multi-part graphing questions and visualizations powered by GeoGebra that reinforce the Rule of Four and strengthen students’ comprehension.
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We live in a world made by science. How and when did this happen? This book tells the story of the extraordinary intellectual and cultural revolution that gave birth to modern science, and mounts a major challenge to the prevailing orthodoxy of its history. Before 1492 it was assumed that all significant knowledge was already available; there was no concept of progress; people looked for understanding to the past not the future. This book argues that the discovery of America demonstrated that new knowledge was possible: indeed it introduced the very concept of 'discovery', and opened the way to the invention of science. The first crucial discovery was Tycho Brahe's nova of 1572: proof that t...