…https://press.princeton.edu/books/hardcover/9780691171685/el... It has one chapter each for Arithmetic, Computation, Algebra, Geometry, Calculus, Combinatorics, Probability, Logic. He positioned it as a sort of a modern update to Felix Klein's Elementary Mathematics from an Advanced Standpoint series of books. From the preface; This book grew from an article I wrote in 2008 for the centenary of Felix Klein’s Elementary Mathematics from an Advanced Standpoint. The article reflected on Klein’s…
Nice. After five minutes: 95.6% with a mouse; 96.2% with a Wacom tablet; trackpad (Apple Magic 2), hopeless. As for opportunistically relevant posting: see the first chapter of Felix Klein's Elementary Mathematics from an Advanced Standpoint: Geometry[1] for a bit on the geometric theory behind the planimeter. [1] https://archive.org/details/elementary_mathematics_geometry/
……基础数学的概述。由 Dover 出版，因此非常便宜。3) 约翰·斯蒂尔韦尔的《数学及其历史：从欧几里得到哥德尔》（Elements of Mathematics: From Euclid to Gödel）——算是对伟大的菲利克斯·克莱因所著《高观点下的初等数学》的一种现代升级。鉴于现代的发展，这些主题选得格外好；它们涵盖了算术、计算、代数、几何、微积分、组合数学、概率论和数理逻辑。
…overview of Basic Mathematics. Published by Dover and hence very affordable. 3) Elements of Mathematics: From Euclid to Gödel by John Stillwell - Written as sort of an update to the great Felix Klein's Elementary Mathematics from an Advanced Standpoint books. The Topics are particularly well chosen given modern advances; they include Arithmetic, Computation, Algebra, Geometry, Calculus, Combinatorics, Probability, Logic.
……尤其是如果你把它定位为恩格尔那本书的现代升级版的话。例如；约翰·斯蒂尔韦尔将其著作《数学及其历史：从欧几里得到哥德尔》（Elements of Mathematics: From Euclid to Gödel）定位为菲利克斯·克莱因《高观点下的初等数学》的某种现代升级版。摘自前言：本书源于我 2008 年为纪念菲利克斯·克莱因《高观点下的初等数学》出版一百周年而写的一篇文章。该文反思了克莱因关于初等……的观点。
…particularly if you position this as a modern update to the Engel book. For example; John Stillwell positioned his Elements of Mathematics: From Euclid to Gödel as a sort of modern update to Felix Klein's Elementary Mathematics from an Advanced Standpoint. From the preface; This book grew from an article I wrote in 2008 for the centenary of Felix Klein’s Elementary Mathematics from an Advanced Standpoint. The article reflected on Klein’s view of elementary…
…https://press.princeton.edu/books/hardcover/9780691171685/el... 这本书给算术、计算、代数、几何、微积分、组合数学、概率论和数理逻辑各留了一整章。作者将其定位为菲利克斯·克莱因《高观点下的初等数学》系列著作的某种现代升级版。摘自前言：本书源于我 2008 年为纪念菲利克斯·克莱因《高观点下的初等数学》出版一百周年而写的一篇文章。那篇文章反思了克莱因的……
…https://press.princeton.edu/books/hardcover/9780691171685/el... It has one chapter each for Arithmetic, Computation, Algebra, Geometry, Calculus, Combinatorics, Probability, Logic. He positioned it as a sort of a modern update to Felix Klein's Elementary Mathematics from an Advanced Standpoint series of books. From the preface; This book grew from an article I wrote in 2008 for the centenary of Felix Klein’s Elementary Mathematics from an Advanced Standpoint. The article reflected on Klein’s…
不错。测试了五分钟后的成绩：用鼠标 95.6%；用 Wacom 手绘板 96.2%；触控板（Apple Magic 2）直接没戏。至于顺便发个相关内容：可以看看菲利克斯·克莱因《高观点下的初等数学：几何篇》[1] 的第一章，里面讲了一点求积仪背后的几何理论。[1] https://archive.org/details/elementary_mathematics_geometry/
Nice. After five minutes: 95.6% with a mouse; 96.2% with a Wacom tablet; trackpad (Apple Magic 2), hopeless. As for opportunistically relevant posting: see the first chapter of Felix Klein's Elementary Mathematics from an Advanced Standpoint: Geometry[1] for a bit on the geometric theory behind the planimeter. [1] https://archive.org/details/elementary_mathematics_geometry/
……基础数学的概述。由 Dover 出版，因此非常便宜。3) 约翰·斯蒂尔韦尔的《数学及其历史：从欧几里得到哥德尔》（Elements of Mathematics: From Euclid to Gödel）——算是对伟大的菲利克斯·克莱因所著《高观点下的初等数学》的一种现代升级。鉴于现代的发展，这些主题选得格外好；它们涵盖了算术、计算、代数、几何、微积分、组合数学、概率论和数理逻辑。
…overview of Basic Mathematics. Published by Dover and hence very affordable. 3) Elements of Mathematics: From Euclid to Gödel by John Stillwell - Written as sort of an update to the great Felix Klein's Elementary Mathematics from an Advanced Standpoint books. The Topics are particularly well chosen given modern advances; they include Arithmetic, Computation, Algebra, Geometry, Calculus, Combinatorics, Probability, Logic.
……尤其是如果你把它定位为恩格尔那本书的现代升级版的话。例如；约翰·斯蒂尔韦尔将其著作《数学及其历史：从欧几里得到哥德尔》（Elements of Mathematics: From Euclid to Gödel）定位为菲利克斯·克莱因《高观点下的初等数学》的某种现代升级版。摘自前言：本书源于我 2008 年为纪念菲利克斯·克莱因《高观点下的初等数学》出版一百周年而写的一篇文章。该文反思了克莱因关于初等……的观点。
…particularly if you position this as a modern update to the Engel book. For example; John Stillwell positioned his Elements of Mathematics: From Euclid to Gödel as a sort of modern update to Felix Klein's Elementary Mathematics from an Advanced Standpoint. From the preface; This book grew from an article I wrote in 2008 for the centenary of Felix Klein’s Elementary Mathematics from an Advanced Standpoint. The article reflected on Klein’s view of elementary…