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More than a study of shapes and angles, geometry reflects an amalgamation of discoveries over time. This book not only provides readers with a comprehensive understanding of geometric shapes, axioms, and formulas, it presents the field’s brilliant minds—from Euclid to Wendelin Werner and many in between—whose works reflect a progression of mathematical thought throughout the centuries and have helped produce the various branches of geometry as they are known today. Detailed diagrams illustrate various concepts and help make geometry accessible to all.
Calculating and manipulating the unknown has been the enterprise of the field of algebra since its earliest inception in Babylon and ancient Egypt. Trigonometry draws on principles presented in algebra and uses angle measurements to elaborate on geometric calculations. Essential to further mathematical and scientific study, both algebra and trigonometry provide crucial tools in managing variables and understanding the relationships between them. This volume presents the fundamentals of these fascinating areas of mathematics while chronicling their respective histories.
By observing patterns and repeated behaviors, mathematicians have devised calculations to significantly reduce human potential for error. This volume introduces the historical and mathematical basis of statistics and probability as well as their application to everyday situations. Readers will also meet the prominent thinkers who advanced the field and established a numerical basis for prediction.
Examines the history of analysis and calculus, including the geniuses of invention and theory, the practical applications of the math, and explanations of the major topics.
Many of the worlds most common processes and interactions are governed by the laws of thermodynamics and mechanics. While the transfer, release, or absorption of heat often accompany chemical reactions or seem inherent to mechanical systems, they are also familiar to anyone who has ever spent time outdoors on a warm day or touched a hot plate. Likewise, any physical bodylarge or small, solid or fluidis subject to a wide range of forces that trigger motion. This detailed compendium explores the foundations and laws of both thermodynamics and mechanics as well as the lives of those individuals who helped advance these fundamental areas of physics.
The field of mathematics today represents an ongoing global effort, spanning both countries and centuries. Through this in-depth narrative, students will learn how major mathematical concepts were first derived, as well as how they evolved with the advent of later thinkers shedding new light on various applications. Everything from Euclidean geometry to the philosophy of mathematics is illuminated as readers are transported to the ancient civilizations of Mesopotamia, Egypt, and beyond to discover the history of mathematical thought
Presents the concepts and applications of algebra and trigonometry, including information on the people behind the math and explanations to enhance understanding.
Communication and, indeed, our comprehension of the world in general are largely ordered by the number and measurement systems that have arisen over time. This book delves into the history of mathematical reasoning and the progression of numerical thought around the world. With detailed biographies of seminal thinkers and theorists, readers develop a sophisticated understanding of some of the most fundamental arithmetical concepts as well as the individuals who established them.
Explores relativity and quantum mechanics as well as the lives of those individuals who helped advance these fundamental areas of physics.