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微积分之美：伟大定理和天才的数学思维
Language
Chinese
Chinese
Book
Paperback
微积分及其背后的数学思维是描述、理解和优化不断变化的世界和AI的底层语言。本书是一本可帮助所有数学爱好...
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Libristo code: 53486523
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74 b
New
74 b
New
30.39
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Delivery to Austria
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微积分及其背后的数学思维是描述、理解和优化不断变化的世界和AI的底层语言。本书是一本可帮助所有数学爱好者理解微积分底层思维的科普书。书中不仅用颇具趣味性的方式介绍了微积分算法，还通过兼具严谨性与趣味性的故事及曾困扰伟大数学家的经典问题，带你与那些数学天才一起重新认识跨越百年的微积分，洞悉天才们的解题思路与创新逻辑，从而真正理解微积分。
本书从戴德金分割对连续统的奠基性探索出发，逐步深入导数的理性之争、泰勒展开的高维延伸、欧拉公式的 "神性"演绎，再到巴塞尔问题的 "封神"解法、微积分基本定理的本质突破，直至最速降线的经典博弈、拉马努金怪兽公式的奇幻魅力、傅里叶与拉普拉斯变换的实用智慧。本书将带你从深度理解公式及其底层逻辑开始，最终跳出公式的桎梏，真正读懂微积分的深层魅力与百年传承的天才们的数学智慧。
无论你是希望深化对微积分本质理解的理工科学生，渴望在教学中有更多思想渗透的教师，追求在严谨逻辑中获得审美愉悦的数学爱好者，还是希望通过微积分与AI对话，用好或者开发好的AI产品的职场人，本书都将为你提供一场既扎实又启发性十足的思维训练。它不满足于告诉你"是什么"，更致力于让你体验天才是"如何想"的，最终理解微积分底层逻辑，提升自己的认知与能力上限，奠定驾驭AI的基础。
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