现代数学的概念

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• Arun2009 · 2010 年

  ……Boyer 写的《数学史》（A History of Mathematics）——当然，还有互联网。3. 对照着读几本能建立“宏观全局观”的书。推荐这几本：- Howard Eves 的《数学的基础和基本概念》（Foundations and Fundamental Concepts of Mathematics）- Ian Stewart 的《现代数学概念》（Concepts of Modern Mathematics）。4. 在我看来（这纯粹是个人偏好），可以去学学数学在物理和工程中的应用。尤其是物理，它给很多数学分支带来了灵感，而且……

  …of Mathematics" by Boyer - And of course, the internet. 3. Read a few "big picture" books side-by-side. A few suggestions: - "Foundations and Fundamental Concepts of Mathematics" by Howard Eves - "Concepts of Modern Mathematics" by Ian Stewart 4. IMHO - and this is just my preference - study application of Mathematics to Physics and Engineering. Physics especially was an inspiration for a lot of Mathematics, and in addition,…

• tokenadult · 2012 年

  ……中学代数和几何，去上高阶数学暑期课。在我那个热爱数学的大儿子成长过程中，我觉得对理解数学很有帮助的书包括：Ian Stewart 的《现代数学概念》（Dover 重印版）、John Stillwell 的《数与几何》（Springer 出版）、W. W. Sawyer 的《极简数学视角》（Dover 重印版）、Sandor Lehoczky 和 Richard……合著的《解题的艺术》（The Art of Problem Solving）

  …secondary school algebra and geometry, taking an advanced mathematics summer course. Books that I found helpful for understanding mathematics when my oldest son, a mathematics-lover, was growing up include Concepts of Modern Mathematics by Ian Stewart (Dover reprint) Numbers and Geometry by John Stillwell (Springer) Vision in Elementary Mathematics by W. W. Sawyer (Dover reprint) The Art of Problem Solving by Sandor Lehoczky and Richard…

• rramadass · 2020 年

  ……还有 Gelfand 等人写的《函数与图像》（Functions and Graphs）——虽然薄但非常棒，很适合培养直觉。*《谁是傅里叶？一次数学冒险》（Who is Fourier? A Mathematical Adventure）——一本很棒的“漫画风格”书籍，能从第一性原理构建重要概念。* Ian Stewart 的《现代数学概念》（Concepts of Modern Mathematics）——语言通俗易懂，是一本很棒的综述。* 柯尔莫哥洛夫等人写的《数学：它的内容、方法和意义》（Mathematics: Its Content, Methods and Meaning）——内容广泛但阐述精炼，涵盖了大量数学知识。*《数学方法》……

  …and Graphs by Gelfand et al. - A small but great book to develop intuition. * Who is Fourier? A Mathematical Adventure - A great "manga type" book to build important concepts from first principles * Concepts of Modern Mathematics by Ian Stewart - A nice overview in simple language. * Mathematics: Its Content, Methods and Meaning by Kolmogorov et al. - A broad but concise presentation of a lot of mathematics. * Methods of Mathematics…

• hdjjhhvvhga · 2021 年

  ……Bello、Britton 和 Kaul 写的《当代数学专题》（Topics in Contemporary Math））。至于其他的，分享一些我的最爱：- Warner 的《初学者纯数学》（Pure Mathematics for Beginners）- Devlin 的《数学思维导论》（Introduction to Mathematical Thinking）- Stewart 的《现代数学概念》（Concepts of Modern Mathematics）- Herrmann 和 Sally 的《数、形状与对称》（Number, Shape, and Symmetry）- Baylis 的《什么是数学分析？》（What is Mathematical Analysis?）- Feil 和 Krone 的《计算机科学必备离散数学》（Essential Discrete Math for Computer Science）- Rotman 的《近世代数初步》（A First Course in Abstract Algebra with……

  …Topics in Contemporary Math by Bello, Britton, and Kaul). As for the rest, some of my favorites: - Warner, Pure Mathematcis for Beginners - Devlin, Introduction to Mathematical Thinking - Stewart, Concepts of Modern Mathematics - Herrmann, Sally, Number, Shape, and Symmetry - Baylis, What is Mathematical Analysis? - Feil, Krone, Essential Discrete Math for Computer Science - Rotman, A First Course in Abstract Algebra with…

• rramadass · 2026 年

  你在我这里其他评论里提到的那两本书可能会觉得有用；Ian Stewart 写的《现代数学概念》（Concepts of Modern Mathematics）- https://store.doverpublications.com/products/9780486284248；John Stillwell 写的《数学要素：从欧几里得到哥德尔》（Elements of Mathematics: From Euclid to Gödel）- https://press.princeton.edu/books/hardcover/9780691171685/el...……

  You might find the couple of books that i mention in my other comments here useful; Concepts of Modern Mathematics by Ian Stewart - https://store.doverpublications.com/products/9780486284248 Elements of Mathematics: From Euclid to Gödel by John Stillwell - https://press.princeton.edu/books/hardcover/9780691171685/el...…

• tokenadult · 2009 年

  几本关于数学的心头好：Ian Stewart 的《现代数学概念》（Concepts of Modern Mathematics）http://www.amazon.com/Concepts-Modern-Mathematics-Ian-Stewar...；John Stillwell 的《数与几何》（Numbers and Geometry）http://www.amazon.com/Numbers-Geometry-John-Stillwell/dp/038...；《乐趣……

  Some favorites about mathematics: Concepts of Modern Mathematics by Ian Stewart http://www.amazon.com/Concepts-Modern-Mathematics-Ian-Stewar... Numbers and Geometry by John Stillwell. http://www.amazon.com/Numbers-Geometry-John-Stillwell/dp/038... The Pleasures…

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