Calculus is one of the most powerful tools in mathematics, forming the foundation for countless applications in science, engineering, economics, and beyond. "Fundamentals of Calculus" provides a clear and structured introduction to the key concepts of differential and integral calculus, making it accessible to students, professionals, and anyone looking to strengthen their mathematical skills.
This book covers essential topics such as limits, continuity, derivatives, integrals, and their real-world applications. Through step-by-step explanations, illustrative examples, and practice exercises, readers will develop a deep understanding of fundamental calculus principles and their practical significance.
What You'll Learn:
- The concept of limits and continuity as the foundation of calculus
- How to compute and apply derivatives for solving real-world problems
- Techniques for integration, including substitution and integration by parts
- The Fundamental Theorem of Calculus and its significance
- Applications of calculus in physics, economics, and engineering
- Problem-solving strategies for optimization, motion analysis, and curve sketching
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