The strength of this textbook lies in the careful exposition of mathematical thinking, basic set-theoretic notions, and proof techniques combined with contemporary numerical methods used throughout the book. A basic version of computer programs compatible with the widely used program MatLab, and exercises are provided on a disk included with the book.Warmup * Matrix Operations * Invertible Matrices * Subspaces * Rank and Dimension * ...

Discrete Mathematics with Ducks, Second Edition is a gentle introduction for students who find the proofs and abstractions of mathematics challenging. At the same time, it provides stimulating material that instructors can use for more advanced students. The first edition was widely well received, with its whimsical writing style and numerous exercises and materials that engaged students at all levels. The new, expanded edition conti...

This introduction to Algebra is written for students, who are in their final year at school, i.e. senior high school in the US, Canada, Australia, or fifth or sixth form in the UK; and need help with their school year end exams, or are considering progressing onto college or university. Alternatively, you may be a student who has completed your school education and find your math skills are not as good as you would like. If you need ...

The Mathematical Sciences Education Board (MSEB) and the U.S. National Commission on Mathematics Instruction (USNCMI) took advantage of a unique opportunity to bring educators together. In August 2000, following the Ninth International Congress on Mathematics Education (ICME-9) in Makuhari, Japan, MSEB and USNCMI capitalized on the presence of mathematics educators in attendance from the United States and Japan by holding a two and a...

This book uses plain-English to provide a common-sense and intuitive understanding of basic algebra, the fundamental building block on which all mathematics is built. Formatted specifically for Kindle and tablet devices, the book has a very clear layout and is easy to read. Practical, everyday examples are used to help you to get a solid grasp of the basic principles. Each chapter has a set of practice questions and worked solutions ...

Number sense encompasses a wide range of skills, including being able to make estimates and to think and reason flexibly. In these lessons, children investigate number relationships, practice problem solving using landmark numbers, and explore ways to count, compose, and decompose numbers.

Computational Complexity of Counting and Sampling provides readers with comprehensive and detailed coverage of the subject of computational complexity. It is primarily geared toward researchers in enumerative combinatorics, discrete mathematics, and theoretical computer science. The book covers the following topics: Counting and sampling problems that are solvable in polynomial running time, including holographic algorithms; ...

This book provides a broad overview of foundational results and recent progress in the study of random matrices from the classical compact groups. Designed to present a complete picture to researchers of different fields, the material makes connections to geometry, analysis, algebra, physics, and statistics.

This book contains part of the results of a research project funded by Colciencias and executed by the research group Grupo de Investigación en Matemáticas Uninorte (Colombia), and contains details of properties, which are satis ed by certain spaces of vector value functions and distributions de ned on the n dimensional torus. In particular, the text addresses an introductory study of the toroidal Besov spaces, which appear in many a...

Linear algebra is something all mathematics undergraduates and many other students, in subjects ranging from engineering to economics, have to learn. The fifth edition of this hugely successful textbook retains all the qualities of earlier editions while at the same time seeing numerous minor improvements and major additions.