“Linear Algebra Done Right”(线性代数应该这样学)第三版的电子版出来才几天: 11 月 5 日. 纸质版下个月才能买到. 这是一本 “没有” 行列式的线性代数: 避开行列式探讨线性算子的结构, 处理有限维线性空间的诸多定理.

Proofs from THE BOOK 有一本有名的书. Springer 刚出了这本书的新版.

• 数论部分增加了第 7 章: The spectral theorem and Hadamard’s determinant problem;
• 几何部分增加了第 15 章: The Borromean rings don’t exist;
• 组合部分增加了第 34 章: The finite Kakeya problem;
• 组合部分增加了第 37 章: Permanents and the power of entropy.

More Math Into LaTeX

George Grätzer 2007 年出版了他的 More Math Into $$\rm\LaTeX$$ 的第四版, 由大名鼎鼎的 Springer 推出.

This is the fourth edition of the standard introductory text and complete reference for scientists in all disciplines, as well as engineers. This fully revised version includes important updates on articles and books as well as information on a crucial new topic: how to create transparencies and computer projections, both for classrooms and professional meetings. The text maintains its user-friendly, example-based, visual approach, gently easing readers into the secrets of $$\rm\LaTeX$$ with The Short Course. Then it introduces basic ideas through sample articles and documents. It includes a visual guide and detailed exposition of multiline math formulas, and even provides instructions on preparing books for publishers.

619 页, 内容可谓是相当的全面.

How to introduce $$\rm\LaTeX$$ to math students?

Gratzer’s book has always excelled by taking the beginner by hand.

Handbook on the History of Mathematics Education” 是 Springer 新出的全面展现数学教育历史的研究成果的书: This Handbook strives to present the history of teaching and learning mathematics over the various epochs and civilizations, cultures, and countries.

Springer 刚出来的研究 “Ancient Greek and Medieval Islamic” 的数学史书 “From Alexandria, Through Baghdad: Surveys and Studies in the Ancient Greek and Medieval Islamic Mathematical Sciences in Honor of J.L. Berggren“, 应该是文档体积最大的数学书了, 官方 PDF 达到了惊人的 $$584, 837$$ KB! 这个数字很可能会继续增加! 其实, 本书的页码倒不是那么多, 不到 $$600$$.

• Part I Surveys
• Part II Studies
• Part III The Story of $$\mathrm \pi$$

This book honors the career of historian of mathematics J.L. Berggren, his scholarship, and service to the broader community. The first part, of value to scholars, graduate students, and interested readers, is a survey of scholarship in the mathematical sciences in ancient Greece and medieval Islam. It consists of six articles (three by Berggren himself) covering research from the middle of the 20th century to the present. The remainder of the book contains studies by eminent scholars of the ancient and medieval mathematical sciences. They serve both as examples of the breadth of current approaches and topics, and as tributes to Berggren’s interests by his friends and colleagues.

Springer 刚刚推出了 2010 年出版的 “The Abel Prize 2003–2007” 的续集 “The Abel Prize 2008–2012“.

The Abel Prize 2008-2012

Covering the years 2008-2012, this book profiles the life and work of recent winners of the Abel Prize: John G. Thompson and Jacques Tits, 2008; Mikhail Gromov, 2009; John T. Tate Jr., 2010; John W. Milnor, 2011; Endre Szemerédi, 2012.

The profiles feature autobiographical information as well as a description of each mathematician’s work. In addition, each profile contains a complete bibliography, a curriculum vitae, as well as photos — old and new. As an added feature, interviews with the Laureates can be streamed from the Abel Prize web site.

The book also presents a  history of the Abel Prize written by the historian Kim Helsvig, and includes a facsimile of a letter from Niels Henrik Abel, which is transcribed, translated into English, and placed into historical perspective by Christian Skau.

1. Galois Cohomology, Jean-Pierre Serre, Springer, 1997

2. Algebraic Cobordism, Marc Levine, Fabien Morel, Springer, 2007

3. Sheaves on Manifolds, Masaki Kashiwara, Pierre Schapira, Springer, 2002

4. Simplicial Homotopy Theory, Paul G. Goerss, John F. Jardine, Birkhäuser, 2009

5. The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds, John W. Morgan, Princeton University Press, 1995

6. Complex Analysis on Infinite Dimensional Spaces, Sean Dineen, Springer, 1999

7. Class Field Theory, Nancy Childress, 2nd, Springer, 2008

Springer 开始出版一个新的数学系列 “Mathematical Lectures from Peking University”. 这套书是北京国际数学研究中心(Beijing International Center for Mathematical Research, 简称 BICMR)的数学讲义.

Mathematical Lectures from Peking University includes monographs, lecture notes, and proceedings based on research pursued and events held at Beijing International Center for Mathematical Research (BICMR). BICMR is a mathematical research institute sponsored by the national government of China. The center was created in 2005 by national government decree. Its goal is to build a world-class mathematical center for research and training young talents; to foster a new generation of leading world-class mathematicians in China; to support the application of mathematics in sciences and practical fields; to promote research and improve the level of mathematics education at Peking University, as well as all over China.

1. Conformal Field Theories and Tensor Categories: Proceedings of a Workshop Held at Beijing International Center for Mathematical