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.