Differential Calculus (Classic Reprint) - Softcover

Henry Bayard Phillips

 
9781333068752: Differential Calculus (Classic Reprint)

Synopsis

Master the basics of calculus with clear, step-by-step explanations of functions, limits, and curves. This edition explains how functions are defined, expressed, and used in problems you’ll actually solve.

These chapters introduce how to tell when a quantity is a function of others, the difference between explicit and implicit forms, and how to distinguish independent and dependent variables. The material also covers limits, the behavior of functions as inputs approach a value, and the idea of infinitesimals. You’ll see how the concepts connect to practical problems in geometry and motion.



Key ideas you’ll encounter include:



  • How to recognize and work with explicit and implicit functions.

  • Notation for functions and how to read and apply f(x) correctly.

  • What limits are, how they are written, and basic limit properties.

  • The notion of velocity and the direction of motion along a curve.



Ideal for readers starting calculus or revisiting foundational principles with clear, concrete examples.

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