Items related to Calculus: An Intuitive and Physical Approach
Synopsis
This classic text by an outstanding educator presents an intuitive and science-related introduction to calculus. The author transcends theories and techniques to address the role of calculus in the social and biological sciences - a highly practical and motivating approach for the future scientists and engineers studying the subject. The focus is on geometrical, physical, and heuristic arguments and generalizations from concrete cases, offering convincing justifications of theorems and techniques. The text begins with an in-depth exploration of the derivative, followed by chapters on the antiderived function or the integral, the geometric significance of the derivative, the differentiation and integration of powers of x, and theorems on differentiation and antidifferentiation. After defining the chain rule, the text explores trigonometric functions, logarithmic and exponential functions, techniques of integration, geometric and physical applications of the definite integral, polar coordinates, partial differentiation, multiple integrals, and much more. The last two chapters, intended as a transition to the rigors of advanced calculus, provide an introduction to precise language and proofs. Clear-cut explanations, carefully chosen drill exercises, and numerous illustrative examples make this volume an excellent choice for introducing students to the complexities of calculus.
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