An Introduction to the Study of the Elements of the Differential and Integral Calculus (Classic Reprint) - Hardcover

Axel Harnack

 
9780331121704: An Introduction to the Study of the Elements of the Differential and Integral Calculus (Classic Reprint)

Synopsis

Master calculus from foundations to advanced techniques with this comprehensive guide to differential and integral calculus.

This edition offers a clear pathway through the essential ideas of real numbers, functions, and limits, then builds up to series, convergence, and a full treatment of integrals. It also introduces complex numbers and analytic functions, showing how these ideas connect to geometry and motion, with practical methods and structured developments.

What you’ll experience:
  • A solid grounding in real numbers, functions, and the basics of differentiation and integration.
  • Step-by-step development of infinite series, convergence tests, and power series.
  • Techniques for rational, complex, and multiple-variable functions, including partial fractions.
  • Applications to definite and indefinite integrals, and the transition between real and complex analysis.
Ideal for readers seeking a rigorous, methodical introduction to calculus and its analytical tools.

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