…theory, and it is recommended that you study a bit of real analysis before you do this. 7) Differential Geometry and Statistics - Murray and Rice 9, 10 ) Non linear dynamics and chaos - Strogatz 11) Complex analysis - There exists a set of 4 books covering real, complex and functional analysis by Stein and Shakarchi, which should serve your purpose Applied Math : 3) Probability - Grinstead and Snell, Durrett both…
……在这之前至少得先接触一下域、群和环，因为同时掌握传统视角和现代（也就是范畴论 categorical）视角是很有好处的。也可以试试 Riehl 写的《Category Theory in Context》。7. 复分析 Ahlfors 写的《Complex Analysis》。这是一本非常出色且精炼的教材。理论上你可以在学实分析之前先学它，但我并不推荐这么做。也可以看看 Churchill 写的《Complex Variables》……
…this prior to at least encountering fields, groups and rings because it's good to have both the traditional and modern (read: categorical) contexts. Also try Category Theory in Context, by Riehl. 7. Complex Analysis Complex Analysis, by Ahlfors. This is an excellent and concise text. You can theoretically approach this before real analysis, but I wouldn't recommend that. Also try Complex Variables, by Churchill…
……理论，而且建议在搞这个之前先学一点实分析（real analysis）。7) 《微分几何与统计学》（Differential Geometry and Statistics）- Murray 和 Rice 9、10) 《非线性动力学与混沌》（Nonlinear Dynamics and Chaos）- Strogatz 11) 复分析（Complex analysis）- Stein 和 Shakarchi 写了一套涵盖实分析、复分析和泛函分析的 4 本书，应该能满足你的需求 应用数学：3) 概率论（Probability）- Grinstead 和 Snell，还有 Durrett 的都不错……
…theory, and it is recommended that you study a bit of real analysis before you do this. 7) Differential Geometry and Statistics - Murray and Rice 9, 10 ) Non linear dynamics and chaos - Strogatz 11) Complex analysis - There exists a set of 4 books covering real, complex and functional analysis by Stein and Shakarchi, which should serve your purpose Applied Math : 3) Probability - Grinstead and Snell, Durrett both…
……在这之前至少得先接触一下域、群和环，因为同时掌握传统视角和现代（也就是范畴论 categorical）视角是很有好处的。也可以试试 Riehl 写的《Category Theory in Context》。7. 复分析 Ahlfors 写的《Complex Analysis》。这是一本非常出色且精炼的教材。理论上你可以在学实分析之前先学它，但我并不推荐这么做。也可以看看 Churchill 写的《Complex Variables》……
…this prior to at least encountering fields, groups and rings because it's good to have both the traditional and modern (read: categorical) contexts. Also try Category Theory in Context, by Riehl. 7. Complex Analysis Complex Analysis, by Ahlfors. This is an excellent and concise text. You can theoretically approach this before real analysis, but I wouldn't recommend that. Also try Complex Variables, by Churchill…