Needham 的《Visual Complex Analysis》。很多绝妙的配图,一切都用几何方式解释(并展示)得清清楚楚。复微分/复积分、非欧几何、vector field 等等。Stillwell 的《Mathematics and its History》。写得太棒了。从古代一直讲到 20 世纪,不仅涵盖了数学本身(细节非常丰富),还讲了主要数学家的生平(简明传记)。Knuth 等人的《Concrete Mathematics》……
Visual Complex Analysis - Needham. A lot of great pictures, exerything is explained (and shown) geometrically. Complex differentiation/integration, non-Euclidean geometry, vector fields etc. Mathematics and its History - Stillwell. Wonderfully written. From the ancients to the 20th century, covers the mathematics (in a lot of detail) and lives of major mathematicians (potted bios). Concrete Mathematics - Knuth et al.…
……推荐书单取决于你想学什么。相比其他书,我个人更喜欢下面这些教材:- Algebra: Chapter 0 (Aluffi) - Real Mathematical Analysis (Pugh) - Mathematics and its History (Stillwell) - An Introduction to Manifolds (Tu) - Gauge Fields, Knots and Gravity (Baez) - A First Look at Rigorous Probability Theory (Rosenthal) - All of Statistics (Wasserman)。有一些作者……
…of recommendations depend on what you're trying to learn. But I've enjoyed the following texts to a larger extent than others: - Algebra: Chapter 0 (Aluffi) - Real Mathematical Analysis (Pugh) - Mathematics and its History (Stillwell) - An Introduction to Manifolds (Tu) - Gauge Fields, Knots and Gravity (Baez) - A First Look at Rigorous Probability Theory (Rosenthal) - All of Statistics (Wasserman) There are some authors…
你(或者其他人)可能会喜欢 Struik 的《A Concise History of Mathematics》[1]。这本书从头读到尾也相当轻松。我另一个心头好是 Stillwell 的《Mathematics and Its History》,同样极其出色。依我看,Stillwell 的书更适合用来作为探索某个具体主题的引导,而 Struik 的书则是真正在试图展现数学贯穿历史的发展脉络——……
You (or others) may like Struik’s A Concise History of Mathematics [1]. It’s also quite easy to read cover-to-cover. My other favorite, Stillwell’s Mathematics and Its History, is excellent as well. In my opinion, Stillwell’s book is better to read as a way to motivate a particular topic, whereas Struik’s book really tries to illustrate the arc of mathematics through history—of…
Needham 的《Visual Complex Analysis》。很多绝妙的配图,一切都用几何方式解释(并展示)得清清楚楚。复微分/复积分、非欧几何、vector field 等等。Stillwell 的《Mathematics and its History》。写得太棒了。从古代一直讲到 20 世纪,不仅涵盖了数学本身(细节非常丰富),还讲了主要数学家的生平(简明传记)。Knuth 等人的《Concrete Mathematics》……
Visual Complex Analysis - Needham. A lot of great pictures, exerything is explained (and shown) geometrically. Complex differentiation/integration, non-Euclidean geometry, vector fields etc. Mathematics and its History - Stillwell. Wonderfully written. From the ancients to the 20th century, covers the mathematics (in a lot of detail) and lives of major mathematicians (potted bios). Concrete Mathematics - Knuth et al.…
数学的范畴非常广。你可以尝试读读 John Stillwell 的《Mathematics and its history》,来对这门学科建立一些全局视角。
Mathematics is very broad. You might try something like "Mathematics and its history" by John Stillwell to get some perspective on the subject.
……推荐书单取决于你想学什么。相比其他书,我个人更喜欢下面这些教材:- Algebra: Chapter 0 (Aluffi) - Real Mathematical Analysis (Pugh) - Mathematics and its History (Stillwell) - An Introduction to Manifolds (Tu) - Gauge Fields, Knots and Gravity (Baez) - A First Look at Rigorous Probability Theory (Rosenthal) - All of Statistics (Wasserman)。有一些作者……
…of recommendations depend on what you're trying to learn. But I've enjoyed the following texts to a larger extent than others: - Algebra: Chapter 0 (Aluffi) - Real Mathematical Analysis (Pugh) - Mathematics and its History (Stillwell) - An Introduction to Manifolds (Tu) - Gauge Fields, Knots and Gravity (Baez) - A First Look at Rigorous Probability Theory (Rosenthal) - All of Statistics (Wasserman) There are some authors…
你(或者其他人)可能会喜欢 Struik 的《A Concise History of Mathematics》[1]。这本书从头读到尾也相当轻松。我另一个心头好是 Stillwell 的《Mathematics and Its History》,同样极其出色。依我看,Stillwell 的书更适合用来作为探索某个具体主题的引导,而 Struik 的书则是真正在试图展现数学贯穿历史的发展脉络——……
You (or others) may like Struik’s A Concise History of Mathematics [1]. It’s also quite easy to read cover-to-cover. My other favorite, Stillwell’s Mathematics and Its History, is excellent as well. In my opinion, Stillwell’s book is better to read as a way to motivate a particular topic, whereas Struik’s book really tries to illustrate the arc of mathematics through history—of…
Stillwell 的《Mathematics and its History》在我看来(imo)非常优秀。
Stillwell's _Mathematics and its History_ is, imo, excellent.
Stillwell 的《Mathematics and Its History》。
Stillwell's Mathematics and Its History.