Welcome to AMS Open Math Notes, a repository of freely downloadable mathematical works in progress hosted by the American Mathematical Society as a service to researchers, teachers and students. These draft works include course notes, textbooks, and research expositions in progress. They have not been published elsewhere, and, as works in progress, are subject to significant revision. Visitors are encouraged to download and use these materials as teaching and research aids, and to send constructive comments and suggestions to the authors.
The notes cover introduction to proofs, axioms of fields, complex numbers, some topology, and limits, continuity, derivatives, integrals, sequences and series. For teaching proof writing, many proofs contain in red color parts of proofs that should not be written down but should be thought.
- C and C++
- Architecture, Design Patterns and Refactoring
- Skills & Tools
- Agile Software Development and Scrum
- Operating Systems and Networking
- Embedded Systems and Computer Architecture
- Version Control
- Robotics
- Mechanical Engineering
The purpose of this text is to provide a reference for University level assembly language and systems programming courses. Specifically, this text addresses the x86-64 instruction set for the popular x86-64 class of processors using the Ubuntu 64-bit Operating System (OS). While the provided code and various examples should work under any Linux-based 64-bit OS, they have only been tested under Ubuntu 14/16/18 LTS (64-bit).
SQL is a programming language used for querying and managing data in databases and has become the backbone of modern analytics. Yet, there is no one go-to place for advance analytics using SQL. In…
- Ref: cds.cern.ch/record/2700089
- This monograph emphasizes the main role differential geometry and convex analysis play in the understanding of physical, chemical, and mechanical notions. Providing a thorough overview of mathematical modeling of physical systems, this book is a useful resource for graduate students and researchers.
- Ref: cds.cern.ch/record/2700109
- This book contains 57 selected articles by Professor Radha Charan Gupta—a doyen of history of mathematics—written on a variety of important topics in Indian astronomy and mathematics, and deals with the bibliographical sketches of a few veteran historians of Indian mathematics
A. Slivkins. (2019)cite arxiv:1904.07272Comment: The manuscript is complete, but comments are very welcome! To be published with Foundations and Trends in Machine Learning.
R. Sharipov. (2004)cite arxiv:math/0412421Comment: The textbook, AmSTeX, 132 pages, amsppt style, prepared for double side printing on letter size paper.