This 1996 book introduces students to optimization theory and its use in economics and allied disciplines. The first of its three parts examines the existence of solutions to optimization problems in Rn, and how these solutions may be identified. The second part explores how solutions to optimization problems change with changes in the underlying parameters, and the last part provides an extensive description of the fundamental principles of finite- and infinite-horizon dynamic programming. Each chapter contains a number of detailed examples explaining both the theory and its applications for first-year master's and graduate students. 'Cookbook' procedures are accompanied by a discussion of when such methods are guaranteed to be successful, and, equally importantly, when they could fail. Each result in the main body of the text is also accompanied by a complete proof. A preliminary chapter and three appendices are designed to keep the book mathematically self-contained.

"Math, Better Explained" is a clear, intuitive guide to math topics essential for high school, college and beyond. Whether you're a student, parent, or teacher, this book is your key to unlocking the aha! moments that make math truly click -- and make learning enjoyable. The book intentionally avoids mindless definitions and focuses on building a deep, natural intuition so you can integrate the ideas into your everyday thinking. Its explanations on the natural logarithm, imaginary numbers, exponents and the Pythagorean Theorem are among the most-visited in the world. The topics in Math, Better Explained include: 1. Developing Math Intuition 2. The Pythagorean Theorem 3. Pythagorean Distance 4. Radians and Degrees 5. Imaginary Numbers 6. Complex Arithmetic 7. Exponential Functions & e 8. The Natural Logarithm (ln) 9. Interest Rates 10. Understanding Exponents 11. Euler’s Formula 12. Introduction To Calculus The book is written as the author wishes math was taught: with a friendly attitude, vivid illustrations and a focus on true understanding. Learn right, not rote! Selected testimonials: "I have several books on calculus (Calculus for Dummys, Math for the Millions, etc. etc. - never was able to read them) but your explanation is what I have needed all these years." - D. Hogg, Former Principal "This is a great explanation! I am 49 years old and have never known what e is all about. It is thanks to your article that I get it and now can explain it to my son who is 13 years old..." - C. Dhaveji "I've been following you for nearly two years...I find the intuitive approach to the subject and lucid writing unparalleled." - D. Ezell About the Author Kalid Azad graduated from Princeton University and has been writing professionally for over a decade, from chapters in the best-selling "How to Program" textbooks (from Deitel, Inc.) to technical whitepapers for Microsoft, Corp. Kalid has tutored math since high school (99% percentile for SAT/GRE/GMAT) and is enamored with finding the clearest, most intuitive insights on seemingly-complicated topics. http://www.amazon.com/Math-Better-Explained-Intuition-ebook/dp/B006J5L3VU

《数学分析》(下)为下册，内容包括数项级数和广义积分；函数项级数、幂级数、富里埃级数和富里埃变换，多元函数的极限与连续、偏导数和全微分、极值理论、隐函数存在定理与函数相关；含参变量的积分和广义积分；多变量积分学（重积分、曲线积分、曲面积分和场论初步）。 《数学分析》在复旦大学数学系陈传璋等编《数学分析》（1979年版）的基础上，由作者根据近年来的教学实践作了修订，这次修订除了文字上和内容上的刊误以及改写了不定积分与定积分的部分内容外，主要是为适应教学需要，调整了部分章节的次序，并把第一版中第十章第8节"向量值函数的导数"作为附录放在书末。

Discrete Mathematics and its Applications is a focused introduction to the primary themes in a discrete mathematics course, as introduced through extensive applications, expansive discussion, and detailed exercise sets. These themes include mathematical reasoning, combinatorial analysis, discrete structures, algorithmic thinking, and enhanced problem-solving skills through modeling. Its intent is to demonstrate the relevance and practicality of discrete mathematics to all students. The Fifth Edition includes a more thorough and linear presentation of logic, proof types and proof writing, and mathematical reasoning. This enhanced coverage will provide students with a solid understanding of the material as it relates to their immediate field of study and other relevant subjects. The inclusion of applications and examples to key topics has been significantly addressed to add clarity to every subject. True to the Fourth Edition, the text-specific web site supplements the subject matter in meaningful ways, offering additional material for students and instructors. Discrete math is an active subject with new discoveries made every year. The continual growth and updates to the web site reflect the active nature of the topics being discussed. The book is appropriate for a one- or two-term introductory discrete mathematics course to be taken by students in a wide variety of majors, including computer science, mathematics, and engineering. College Algebra is the only explicit prerequisite.

《数学分析》(上)系在1979年第一版基础上的修订版，作者根据近几年来教学实践作了修订。这次修订除了文字和内容上的勘误外，主要是为了适应教学的需要，调动了部分章节的次序，并且对定积分一章作了较大修改。此外，原第一版书中第十章§8向量值函数的导数一节改为附录放在书末。《数学分析》为上册。内容有：1.极限论：包括变量与函数、数列极限、函数的极限与连续等；2.单变量微分学：包括导数与微分、微分学基本定理及其应用等；3.单变量积分学：包括不定积分、定积分及其应用等。本数可作为综合大学和师范院校数学数学系的教材。