我不确定它们能不能替代老师,但确实有一些很棒的数学书,比如《几何原本》、Richard Rusczyk 的《Introduction to Algebra》以及 Michael Spivak 的《Calculus》。
I am not sure if they can replace a teacher, but some good mathematics books are "Euclid's Elements", "Introduction to Algebra" by Richard Rusczyk, and "Calculus" by Michael Spivak.
……对你来说。 . . . . “如果你觉得这些题太简单了,这意味着你应该去尝试更难的题。解那些对自己来说太容易的题目,谁也学不到什么东西。”Rusczyk, Richard (2007). Introduction to Algebra. Alpine, CA: AoPS Incorporated, 第 iii 页。
…to you. . . . . "If you find the problems are too easy, this means you should try harder problems. Nobody learns very much by solving problems that are too easy for them." Rusczyk, Richard (2007). Introduction to Algebra. Alpine, CA: AoPS Incorporated, p. iii.
……对你来说。 . . . . “如果你觉得这些题太简单了,这意味着你应该去尝试更难的题。解那些对自己来说太容易的题目,谁也学不到什么东西。”Rusczyk, Richard (2007). Introduction to Algebra. Alpine, CA: AoPS Incorporated, 第 iii 页。
…to you. . . . . "If you find the problems are too easy, this means you should try harder problems. Nobody learns very much by solving problems that are too easy for them." Rusczyk, Richard (2007). Introduction to Algebra. Alpine, CA: AoPS Incorporated, p. iii.
……对你来说。 . . . . “如果你觉得这些题太简单了,这意味着你应该去尝试更难的题。解那些对自己来说太容易的题目,谁也学不到什么东西。”Rusczyk, Richard (2007). Introduction to Algebra. Alpine, CA: AoPS Incorporated, 第 iii 页。
…to you. . . . . "If you find the problems are too easy, this means you should try harder problems. Nobody learns very much by solving problems that are too easy for them." Rusczyk, Richard (2007). Introduction to Algebra. Alpine, CA: AoPS Incorporated, p. iii.
我不确定它们能不能替代老师,但确实有一些很棒的数学书,比如《几何原本》、Richard Rusczyk 的《Introduction to Algebra》以及 Michael Spivak 的《Calculus》。
I am not sure if they can replace a teacher, but some good mathematics books are "Euclid's Elements", "Introduction to Algebra" by Richard Rusczyk, and "Calculus" by Michael Spivak.
……对你来说。 . . . . “如果你觉得这些题太简单了,这意味着你应该去尝试更难的题。解那些对自己来说太容易的题目,谁也学不到什么东西。”Rusczyk, Richard (2007). Introduction to Algebra. Alpine, CA: AoPS Incorporated, 第 iii 页。
…to you. . . . . "If you find the problems are too easy, this means you should try harder problems. Nobody learns very much by solving problems that are too easy for them." Rusczyk, Richard (2007). Introduction to Algebra. Alpine, CA: AoPS Incorporated, p. iii.
……对你来说。 . . . . “如果你觉得这些题太简单了,这意味着你应该去尝试更难的题。解那些对自己来说太容易的题目,谁也学不到什么东西。”Rusczyk, Richard (2007). Introduction to Algebra. Alpine, CA: AoPS Incorporated, 第 iii 页。
…to you. . . . . "If you find the problems are too easy, this means you should try harder problems. Nobody learns very much by solving problems that are too easy for them." Rusczyk, Richard (2007). Introduction to Algebra. Alpine, CA: AoPS Incorporated, p. iii.
……对你来说。 . . . . “如果你觉得这些题太简单了,这意味着你应该去尝试更难的题。解那些对自己来说太容易的题目,谁也学不到什么东西。”Rusczyk, Richard (2007). Introduction to Algebra. Alpine, CA: AoPS Incorporated, 第 iii 页。
…to you. . . . . "If you find the problems are too easy, this means you should try harder problems. Nobody learns very much by solving problems that are too easy for them." Rusczyk, Richard (2007). Introduction to Algebra. Alpine, CA: AoPS Incorporated, p. iii.