哎，现在市面上既优秀又极其简单、而且还严谨的数学分析入门书简直不要太多：Lara Alcock 的《How to Think About Analysis》、Stephen Abbot 的《Understanding Analysis》、David Stirling 的《Mathematical Analysis and Proof》、Burn 的《Numbers and Functions: Steps into Analysis》、Steven Lay 的《Analysis: With an Introduction to Proof》、David Brannan 的《A First Course in Mathematical Analysis》。
Well, there is no shortage of very good and VERY SIMPLE and rigorous intros to analysis books out today: How to Think About Analysis by Lara Alcock. Understanding Analysis by Stephen Abbot. Mathematical Analysis and Proof by David Stirling. Numbers and Functions: Steps into Analysis by Burn. Analysis: With an Introduction to Proof by Steven Lay. A First Course in Mathematical Analysis by David Brannan.
…http://people.reed.edu/~mayer/math111.html/math111.pdf - the most pedagogical http://people.reed.edu/~mayer/math111.html/math111.pdf - the most beautiful https://people.reed.edu/~jerry/111/calc.pdf - the most technical For introduction to mathematical analysis and proof: http://people.reed.edu/~mayer/math112.html/math112.pdf For multivariable calculus: https://www.stat.rice.edu/~dobelman/notes_papers/math/calcul... [1] For linear algebra, we used the relatively standard…
哎，现在市面上既优秀又极其简单、而且还严谨的数学分析入门书简直不要太多：Lara Alcock 的《How to Think About Analysis》、Stephen Abbot 的《Understanding Analysis》、David Stirling 的《Mathematical Analysis and Proof》、Burn 的《Numbers and Functions: Steps into Analysis》、Steven Lay 的《Analysis: With an Introduction to Proof》、David Brannan 的《A First Course in Mathematical Analysis》。
Well, there is no shortage of very good and VERY SIMPLE and rigorous intros to analysis books out today: How to Think About Analysis by Lara Alcock. Understanding Analysis by Stephen Abbot. Mathematical Analysis and Proof by David Stirling. Numbers and Functions: Steps into Analysis by Burn. Analysis: With an Introduction to Proof by Steven Lay. A First Course in Mathematical Analysis by David Brannan.
…http://people.reed.edu/~mayer/math111.html/math111.pdf —— 教学法最出色的 http://people.reed.edu/~mayer/math111.html/math111.pdf —— 最优美的 https://people.reed.edu/~jerry/111/calc.pdf —— 最硬核偏技术的。数学分析与证明入门参考：http://people.reed.edu/~mayer/math112.html/math112.pdf 多元微积分参考：https://www.stat.rice.edu/~dobelman/notes_papers/math/calcul... [1] 线性代数方面，我们用的是相对标准的…
…http://people.reed.edu/~mayer/math111.html/math111.pdf - the most pedagogical http://people.reed.edu/~mayer/math111.html/math111.pdf - the most beautiful https://people.reed.edu/~jerry/111/calc.pdf - the most technical For introduction to mathematical analysis and proof: http://people.reed.edu/~mayer/math112.html/math112.pdf For multivariable calculus: https://www.stat.rice.edu/~dobelman/notes_papers/math/calcul... [1] For linear algebra, we used the relatively standard…