Infinitesimal Analysis, Vol. 1 (Classic Reprint) - Softcover

Smith, William Benjamin

 
9781330872949: Infinitesimal Analysis, Vol. 1 (Classic Reprint)

Inhaltsangabe

Foundations and applications of infinitesimal analysis in a rigorous, study-friendly format. This classic text presents a clear, step-by-step approach to limits, derivatives, and integration, with a strong emphasis on both theory and practical calculation. The author frames ideas with geometric intuition, precise definitions, and a wide range of exercises to reinforce learning. The volume also covers higher topics such as partial derivatives, curve tracing, and geometric interpretations of higher derivatives, making it a thorough reference for students and scholars seeking a solid grounding in analysis.

- Learn the core notions of limits, continuity, and differentiation through careful explanations and worked illustrations.
- Explore integration and quadrature, including various methods and their geometric interpretations.
- Discover applications that connect theory to problems in geometry, physics, and broader mathematics.
- Build skill with exercises that reinforce derivations, proofs, and problem-solving techniques.

Ideal for readers of collegiate-level calculus and introductory analysis, this edition supports both self-study and classroom use, offering a blend of foundational content and advanced topics to deepen understanding of the subject.

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