pdf格式。Mathematics for Computer Science, Spring 2005 for MIT electronic books newsgroup，content include Assignments，Exams，Lecture Notes，Recitations etc。

美国CRC出版社出版的数学百科大全《简明数学百科全集》，全套共分四部，内容共涵盖分析、代数、几何、拓朴、数理逻辑等各方面知识，内容丰富。

《生物核磁共振波谱学》英文版电子教案，ppt、pdf、word格式。内容包含六部分电子教案以及大量的参考资料。

This is a new textbook on learning quantum mechanics. Lots of solved problems are included. This book is meant to be a text for a first course in quantum physics. It is assumed that the student has had courses in Modern Physics and in mathematics through differential equations. The book is otherwise self-contained and does not rely on outside resources such as the internet to supplement the material. SI units are used throughout except for those topics for which atomic units are especially convenient.

这是一本较新的为理工科本科水平的读者写的工具书（pdf）。 Chapter 1.Elementary Algebra and Geometry Chapter 2.Determinants, Matrices,and Linear Systems of Equations Chapter 3.Trigonometry Chapter 4.Analytic Geometry Chapter 5.Series, Number Facts, and Theory Chapter 6.Differential Calculus Chapter 7.Integral Calculus Chapter 8.Vector Analysis Chapter 9.Special Functions Chapter 10.Differential Equations Chapter 11.Statistics Chapter 12.Financial Mathematics

1 The How, When, and Why of Mathematics Spotlight: George Polya Tips on Doing Homework 2 Logically Speaking 3 Introducing the Contrapositive and Converse 4 Set Notation and Quantifiers Tips on Quantification 5 Proof Techniques Tips on Definitions …… 10 Relations Tips on Reading Mathematics 11 Partitions Tips on Putting It All Together 12 Order in the Reals 13 Consequences of the Completeness of R Tips: You Solved ItNow What? 14 Functions, Domain, and Range Spotlight: The Definition of Function 15 Functions, One-to-One, and Onto 16 Inverses 17 Images and Inverse Images Spotlight: Minimum or Infimum? 18 Mathematical Induction 19 Sequences 20 Convergence of Sequences of Real Numbers 21 Equivalent Sets 22 Finite Sets and an Infinite Set 23 Countable and Uncountable Sets 24 The Cantor–Schroder–Bernstein Theorem Spotlight: The Continuum Hypothesis ……

❑ Review of CLT principles ❑ Reducing cognitive load in mathematics instruction ❑ Learner prior knowledge and instructional guidance ❑ Responding to alternative approaches ❑ Implications

《数学建模与数学实验》课程设计教学大纲 Course Design of Mathematics Modeling and Mathematics Experiment

Part 1: Fitting Curves to Data Part 2: Symbolic Mathematics Part 3: Calculus

Recursion-breaking an object down into smaller objects of the same typeis a ma- jor theme in mathematics and computer science. For example, in an induction proof we establish the truth of a statement()from the truth of the statement P(n-1). In pro- gramming, a recursive algorithm solves a problem by applying itself to smaller instances