Mathematics for Artificial Intelligence
暫譯: 人工智慧的數學

Hawkins, Jane

  • 出版商: CRC
  • 出版日期: 2026-03-19
  • 售價: $3,040
  • 貴賓價: 9.8$2,979
  • 語言: 英文
  • 頁數: 222
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 1041161972
  • ISBN-13: 9781041161974
  • 相關分類: Machine Learning線性代數 Linear-algebra
  • 海外代購書籍(需單獨結帳)

商品描述

Artificial intelligence (AI) and machine learning (ML) are rapidly growing fields, drawing great interest among students. Many students in a range of fields, including mathematics, computer science, statistics, data science, and more, see AI and ML as the keys to their futures.

Mathematics for Artificial Intelligence provides the basic mathematics needed to understand AI and ML. It serves both students of mathematics and those who want to fill any gaps in their mathematics experience. It is written as both a text for a course and as a focused look at mathematics needed for readers hoping to learn more.

The author has taught every topic in this book, often in different contexts, and the material and exercises are drawn from lecture notes. The material in the book represents a curated set of topics from the undergraduate math curriculum, some first-year seminar material, and some student project topics. Through carefully chosen examples and discussion in the text, the reader will learn how and where these tools are applied. AI and ML connections are raised along the way.

It presumes the reader has at least completed the traditional three-semester calculus course. Linear algebra is presented as needed and should not require a completed course. The book is also well-suited for self-paced learning. Each chapter can be read independently with the help of the index for cross-referencing. Exercises are included.

商品描述(中文翻譯)

人工智慧(AI)和機器學習(ML)是快速成長的領域,吸引了許多學生的興趣。許多來自數學、計算機科學、統計學、數據科學等多個領域的學生,將AI和ML視為他們未來的關鍵。

《人工智慧的數學》提供了理解AI和ML所需的基本數學知識。它既適合數學專業的學生,也適合希望填補數學經驗空白的人。這本書既可作為課程的教材,也可作為希望深入了解所需數學的讀者的專注參考。

作者在不同的背景下教授過本書中的每一個主題,書中的材料和練習題均來自於講義。書中的內容代表了一組精心挑選的主題,涵蓋了本科數學課程的內容、一部分一年級研討會的材料,以及一些學生專案的主題。通過精心選擇的例子和文本中的討論,讀者將學習這些工具的應用方式和場景。在此過程中,AI和ML的相關性也會被提及。

本書假設讀者至少已完成傳統的三學期微積分課程。線性代數的內容會根據需要呈現,並不需要完成相關課程。這本書也非常適合自學。每一章都可以獨立閱讀,並可利用索引進行交叉參考。書中包含練習題。

作者簡介

Jane Hawkins is a Professor Emerita at the University of North Carolina at Chapel Hill who has held faculty positions at Stony Brook University, Cal Tech, and Duke University, with over 50 research papers published in dynamical systems, ergodic theory, differentiable and complex dynamics, Markov shifts, and HIV and Ebola virus dynamics, and is the author of two books, Ergodic Dynamics and The Mathematics of Cellular Automata. An inaugural American Mathematical Society (AMS) Fellow, she chaired the AMS Committee on Science Policy for two years, testified before Congressional committees on the importance of science and mathematics in the U.S., and served as a Program Director in the Division of Mathematical Sciences at the National Science Foundation. Her teaching spans multivariable calculus, linear algebra, differential equations, probability theory, and dynamical systems, often using computational tools, and she has supervised 20 Ph.D. and master's students, many contributing to mathematical breakthroughs through computer-generated insights. She has delivered over 160 research talks across four continents and numerous public lectures on fractals, virus classification, and HIV dynamics, while also teaching undergraduate courses on dynamics, cellular automata, and probability in society, having received her Ph.D. from the University of Warwick in England as a Marshall Scholar.

作者簡介(中文翻譯)

簡·霍金斯是北卡羅來納大學教堂山分校的名譽教授,曾在石溪大學、加州理工學院和杜克大學擔任教職,發表了超過50篇有關動態系統、遍歷理論、可微分和複雜動力學、馬可夫轉移以及HIV和埃博拉病毒動力學的研究論文,並著有兩本書籍,遍歷動力學細胞自動機的數學。她是美國數學學會(AMS)的首屆會士,曾擔任AMS科學政策委員會主席兩年,並在國會委員會上作證,強調科學和數學在美國的重要性,還曾擔任國家科學基金會數學科學部的計劃主任。她的教學涵蓋多變量微積分、線性代數、微分方程、概率論和動態系統,經常使用計算工具,並指導了20名博士和碩士生,許多人通過計算機生成的見解對數學突破做出了貢獻。她在四大洲發表了超過160場研究演講,並進行了多場有關分形、病毒分類和HIV動力學的公共講座,同時教授有關動力學、細胞自動機和社會中的概率的本科課程,並作為馬歇爾獎學金獲得者在英國華威大學獲得博士學位。