Some of the topics that this book addresses are: Vector spaces; finite-dimensional vector spaces; differential calculus; compactness and completeness; scalar product space; differential equations; multilenear functionals; integration; differentiable manifolds; integral calculus on manifolds; exterior calculus.

Note: this is a 57 MB PDF Document.

Biomedical research today is not only rigorous, innovative and insightful, it also has to be organized and reproducible. With more capacity to create and store data, there is the challenge of making data discoverable, understandable, and reusable. Many funding agencies and journal publishers are requiring publication of relevant data to promote open science and reproducibility of research.

In order to meet to these requirements and evolving trends, researchers and information professionals will need the data management and curation knowledge and skills to support the access, reuse and preservation of data.

This course is designed to address present and future data management needs.

This open education online course is designed for librarians to gain a basic understanding in copyright, international copyright issues, licensing, and it even contains a module on traditional knowledge and activism.

The modules on activism and traditional knowledge make this resource a bit unique and useful as an add-on to any "traditional" copyright training modules.

This book addresses the following topics: Iterations and fixed points; bifurcations; conjugacy; space and time averages; the contraction fixed point theorem; Hutchinson's theorem and fractal images; hyperbolicity; and symbolic dynamics. 151 page pdf file.

This is a guide to good practices for college and university open-access (OA) policies. It's based on the type of rights-retention OA policy first adopted at Harvard, Stanford, MIT, and the University of Kansas. Policies of this kind have since been adopted at a wide variety of institutions in North America, Europe, Africa, and Asia, for example, at public and private institutions, large and small institutions, affluent and indigent institutions, research universities and liberal arts colleges, and at whole universities, schools within universities, and departments within schools.

The Internet is at once a constructive and disruptive technology. As more and more of our lives move online, we are faced with opportunities to do new and amazing things. Concurrently, we encounter problems that no one anticipated as we collectively built the internet as we know it today. This seminar will consider some of the most intriguing of the issues to which the advent of the internet has given and continues to give rise. It will focus on a cluster of topics about which any computer user likely knows a good deal already: spam, spyware, peer-to-peer file sharing, personal privacy, and e-commerce. It will also venture into a few issues-like blogging, RSS (Really Simple Syndication), social software, and internet filtering-that may be less familiar. The internet and the practice of law are both increasingly global in nature, so the seminar will take special care to delve into basic topics in international law. A specific series of laws, regulations and policies related to online activities continues to evolve. In particular, the seminar will focus on the law of intellectual property related to the Internet-whether the IP relates to code, commercial data, music or other content-which has broad and complex application for anyone using the internet in the current multi-jurisdictional world. We'll consider who makes the laws in an environment that crosses national borders by its very nature and where enforcement is an extremely tricky matter. We will imagine what these new technologies might do to culture in the United States and to other cultures throughout the world, particularly those in developing countries. Participants should be willing to experiment with new information technologies in a learning environment.