Many problems in mathematical physics rely heavily on the use of elliptical partial differential equations, and boundary integral methods play a significant role in solving these equations.Stationary Oscillations of Elastic Plates studies the latter in the context ofstationaryvibrations of thin elastic plates. The techniquespresented herereduce the complexity of classical elasticity to a system of two independent variables, modeling ...

The Art of Proving Binomial Identities accomplishes two goals: (1) It provides a unified treatment of the binomial coefficients, and (2) Brings together much of the undergraduate mathematics curriculum via one theme (the binomial coefficients). The binomial coefficients arise in a variety of areas of mathematics: combinatorics, of course, but also basic algebra (binomial theorem), infinite series (Newton’s binomial series), different...

"I believe that the authors have written a first-class book which can be used for a second or third year graduate level course in the subject... Researchers working in the area will certainly use the book as a standard reference... Given how well the book is written and organized, it is sure to become one of the major texts in the subject in the years to come, and it is highly recommended to both researchers working in the field, and...

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; ...