A relaxed and informal presentation conveying the joy of mathematical discovery and insight. Frequent questions lead readers to see mathematics as an accessible world of thought, where understanding can turn opaque formulae into beautiful and meaningful ideas. The text presents eight topics that illustrate the unity of mathematical thought as well as the diversity of mathematical ideas. Drawn from both "pure" and "applied" mathematics, they include: spirals in nature and in mathematics; the modern topic of fractals and the ancient topic of Fibonacci numbers; Pascals Triangle and paper folding; modular arithmetic and the arithmetic of the infinite. The final chapter presents some ideas about how mathematics should be done, and hence, how it should be taught. Presenting many recent discoveries that lead to interesting open questions, the book can serve as the main text in courses dealing with contemporary mathematical topics or as enrichment for other courses. It can also be read with pleasure by anyone interested in the intellectually intriguing aspects of mathematics.
Peter John Hilton Libros






Mathematical vistas
- 352 páginas
- 13 horas de lectura
This book collects nine related mathematical essays which will intrigue and inform. From the reviews: "The authors put their writing where their talents are, and students get to see just how alive mathematics is...there is much to commend the book. It contains plenty of interesting mathematics, often going in unusual directions. I like the diagrams; the authors have chosen mathematics that involves especially pretty ones." --THE MATHEMATICAL ASSOCIATION OF AMERICA
Homological algebra has found a large number of applications in many fields ranging from finite and infinite group theory to representation theory, number theory, algebraic topology and sheaf theory. In the new edition of this broad introduction to the field, the authors address a number of select topics and describe their applications, illustrating the range and depth of their developments. A comprehensive set of exercises is included.
Math Exploration & Applications, Level 2
- 402 páginas
- 15 horas de lectura
This workbook presents practice and assessment assignments in addition and subtraction, money and multiplication, graphing, various measurements, place value, telling time, fractions, geometric shapes, reading maps, and much much more.
Math: Explorations and Applications
- 600 páginas
- 21 horas de lectura
SRA Math: Explorations and Applications
- 490 páginas
- 18 horas de lectura
Real Math
- 663 páginas
- 24 horas de lectura
SRA Real Math, Grade 4
- 626 páginas
- 22 horas de lectura
Covers easiest way to build real-world web applications Shows how to take advantage of latest technologies Teaches how to build more robust software Written for programmers familiar with Scala and web-based application architecture. No previous experience with Play required.