……(Israel Gelfand)——《什么是数学?对思想和方法的基本探讨》(Richard Courant)——《纯数学教程》(G.H. Hardy)——《线性代数》(Kenneth Hoffman 和 Ray Kunze)——《初等微分方程》(William Boyce 和 Richard DiPrima)——《拓扑学》(James Munkres)——《流形上的微积分》(Michael Spivak)——《数学分析原理》(Walter Rudin)——《实分析与复分析》(Walter Rudin)……
…(Israel Gelfand) - What Is Mathematics? An Elementary Approach to Ideas and Methods (Richard Courant) - A Course of Pure Mathematics (G.H. Hardy) - Linear Algebra (Kenneth Hoffman and Ray Kunze) - Elementary Differential Equations (William Boyce and Richard DiPrima) - Topology (James Munkres) - Calculus On Manifolds (Michael Spivak) - Principles of Mathematical Analysis (Walter Rudin) - Real and Complex Analysis (Walter Rudin)…
Elementary Differential Equations by Boyce and DiPrima I'm not sure I'd say that it made me significantly better at math, but I keep coming back to it time and again, and usually via very different paths.
……(Israel Gelfand)——《什么是数学?对思想和方法的基本探讨》(Richard Courant)——《纯数学教程》(G.H. Hardy)——《线性代数》(Kenneth Hoffman 和 Ray Kunze)——《初等微分方程》(William Boyce 和 Richard DiPrima)——《拓扑学》(James Munkres)——《流形上的微积分》(Michael Spivak)——《数学分析原理》(Walter Rudin)——《实分析与复分析》(Walter Rudin)……
…(Israel Gelfand) - What Is Mathematics? An Elementary Approach to Ideas and Methods (Richard Courant) - A Course of Pure Mathematics (G.H. Hardy) - Linear Algebra (Kenneth Hoffman and Ray Kunze) - Elementary Differential Equations (William Boyce and Richard DiPrima) - Topology (James Munkres) - Calculus On Manifolds (Michael Spivak) - Principles of Mathematical Analysis (Walter Rudin) - Real and Complex Analysis (Walter Rudin)…
Boyce 和 DiPrima 写的《初等微分方程》。我不确定它有没有让我的数学水平突飞猛进,但我总是一次又一次翻开它,而且往往是通过完全不同的思路找回来的。
Elementary Differential Equations by Boyce and DiPrima I'm not sure I'd say that it made me significantly better at math, but I keep coming back to it time and again, and usually via very different paths.