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James Gregory was known for his contributions to calculus, particularly for his work on infinite series and the development of the Gregory series, which provides a way to represent functions like arctan and ln(1+x) as power series. His 1668 work, "Geometriae Pars Universalis," introduced concepts that laid the groundwork for later advancements in calculus. Gregory also formulated the famous Gregory-Leibniz series for π, showcasing the relationship between calculus and trigonometric functions. His pioneering ideas helped shape the field and influenced later mathematicians, including Isaac newton and Gottfried Wilhelm Leibniz.

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