Calculus II: A Complete Course: A Comprehensive and Contemporary Treatment (Calculus: A Complete Course in Modern Mathematics)
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Description
Calculus II: A Complete Course offers a rigorous and modern continuation of single-variable calculus, guiding readers from advanced integration to multivariable analysis in one unified volume.
Designed for serious students and professionals, this treatise develops each topic from first principles with precise definitions, fully proved theorems, structured examples, and complete worked solutions.
Inside this volume: advanced integral calculus, improper integrals, Gamma and Beta functions; geometric and physical applications of integration; infinite series, power series, Taylor expansions, and Fourier analysis; ordinary differential equations (first and second order, resonance, beats); vector calculus, curvature, torsion, and the Frenet-Serret framework; and multivariable methods including gradients, Lagrange multipliers, and double integrals.
With 21 chapters, rich figures, and extensive appendices, this book is suitable for advanced undergraduate coursework, independent scholarship, and long-term professional reference.
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