我读研究生的时候，Loring Tu 的《An Introduction to Manifolds》和 Robert G. Bartle 的《The Elements of Integration and Lebesgue Measure》（我们课程都没用这两本教材）在我备考相应科目的资格考试（qualifying exams）时帮了大忙。比起 Lee 和 Royden 的书，它们讲得实在透彻太多了（懂的都……
When I was in graduate school, An Introduction to Manifolds by Loring Tu and The Elements of Integration and Lebesgue Measure Robert G. Bartle, neither one used by courses, helped me immensely when studying for the qualifying exams in the respective subjects. They provided so much clarity over Lee and Royden (if you know, you…
虽然我有超多喜欢的数学书，但我觉得真正帮我搞定对应科目的有两本：* Loring Tu 的《An Introduction to Manifolds》 * Robert G. Bartle 的《The Elements of Integration and Lebesgue Measure》。这两本书对我备考资格考试起到了关键作用。
While I have a ton of favorite math books, the two books that I felt really helped me the relevant subject are: * An Introduction to Manifolds by Loring Tu * The Elements of Integration and Lebesgue Measure by Robert G. Bartle. These two books were instrumental to my studying for my qualifying exams.
……群和多项式。这些书每一页都要啃上一个小时，但只要你下功夫，它会把所有东西都给你交代得清清楚楚。这些绝对是本科水平的书，但这就是它们的妙处所在。Bartle 还写过《Elements of Integration and Lebesgue Measure》——我敢说肯定很棒，但我还没读过。如果你发现了好的概率论书，请务必发一下书名 ;)
…groups and polynomials. All these books require an hour per page, but they lay it all out for you if you work for it. These are definitely undergrad books, but that is their beauty. Bartle also has "Elements of integration and lebesgue measure" -- I bet it is great, but I haven't used it. And if you find a good probability book, please post the title ;)
……《Multivariate Statistical Analysis》，Anderson [2] 《Convex Analysis and Monotone Operator Theory in Hilbert Spaces》，Bauschke-Combettes [3] 《Theory of Multivariate Statistics》，Bilodeau-Brenner [4] 《The Elements of Integration and Lebesgue Measure》，Bartle [5] 《Probability: Theory and Examples》，Durrett
…to Multivariate Statistical Analysis, Anderson [2] Convex Analysis and Monotone Operator Theory in Hilbert Spaces, Bauschke-Combettes [3] Theory of Multivariate Statistics, Bilodeau-Brenner [4] The Elements of Integration and Lebesgue Measure, Bartle [5] Probability: Theory and Examples, Durrett
我读研究生的时候，Loring Tu 的《An Introduction to Manifolds》和 Robert G. Bartle 的《The Elements of Integration and Lebesgue Measure》（我们课程都没用这两本教材）在我备考相应科目的资格考试（qualifying exams）时帮了大忙。比起 Lee 和 Royden 的书，它们讲得实在透彻太多了（懂的都……
When I was in graduate school, An Introduction to Manifolds by Loring Tu and The Elements of Integration and Lebesgue Measure Robert G. Bartle, neither one used by courses, helped me immensely when studying for the qualifying exams in the respective subjects. They provided so much clarity over Lee and Royden (if you know, you…
虽然我有超多喜欢的数学书，但我觉得真正帮我搞定对应科目的有两本：* Loring Tu 的《An Introduction to Manifolds》 * Robert G. Bartle 的《The Elements of Integration and Lebesgue Measure》。这两本书对我备考资格考试起到了关键作用。
While I have a ton of favorite math books, the two books that I felt really helped me the relevant subject are: * An Introduction to Manifolds by Loring Tu * The Elements of Integration and Lebesgue Measure by Robert G. Bartle. These two books were instrumental to my studying for my qualifying exams.
……群和多项式。这些书每一页都要啃上一个小时，但只要你下功夫，它会把所有东西都给你交代得清清楚楚。这些绝对是本科水平的书，但这就是它们的妙处所在。Bartle 还写过《Elements of Integration and Lebesgue Measure》——我敢说肯定很棒，但我还没读过。如果你发现了好的概率论书，请务必发一下书名 ;)
…groups and polynomials. All these books require an hour per page, but they lay it all out for you if you work for it. These are definitely undergrad books, but that is their beauty. Bartle also has "Elements of integration and lebesgue measure" -- I bet it is great, but I haven't used it. And if you find a good probability book, please post the title ;)
……《Multivariate Statistical Analysis》，Anderson [2] 《Convex Analysis and Monotone Operator Theory in Hilbert Spaces》，Bauschke-Combettes [3] 《Theory of Multivariate Statistics》，Bilodeau-Brenner [4] 《The Elements of Integration and Lebesgue Measure》，Bartle [5] 《Probability: Theory and Examples》，Durrett
…to Multivariate Statistical Analysis, Anderson [2] Convex Analysis and Monotone Operator Theory in Hilbert Spaces, Bauschke-Combettes [3] Theory of Multivariate Statistics, Bilodeau-Brenner [4] The Elements of Integration and Lebesgue Measure, Bartle [5] Probability: Theory and Examples, Durrett