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Plane and Solid Geometry (Universitext)

This is a book on Euclidean geometry that covers the standard material in a completely new way, while also introducing a number of new topics that would be suitable as a junior-senior level undergraduate textbook. The author does not begin Read more…


Mathematics Galore! (The First Five Years of the St. Mark’s Institute of Mathematics)

The true joy in mathematics, the true hook that compels mathematicians to devote theircareerstothesubject,comesfromasenseofboundlesswonderinducedbythe subject. There is transcendental beauty, there are deep and intriguing connections, there are surprises and rewards, and there is play and creativity. Mathematics has very little Read more…


A Course in Computational Number Theory

This text will be a modern introduction to number theory, a course taught at most colleges and universities, primarily to math and c.s. majors, and will place heavy and continuing emphasis on algorithmic aspects of the subject. The language of Read more…


The Skeleton Key of Mathematics (A Simple Acount of Complex Algebraic Theories)

As the title promises, this helpful volume offers easy access to the abstract principles common to science and mathematics. It eschews technical terms and omits troublesome details in favor of straightforward explanations that will allow scientists to read papers in Read more…


Geometric Mechanics and Symmetry (From Finite to Infinite Dimensions)

Classical mechanics, one of the oldest branches of science, has undergone a long evolution, developing hand in hand with many areas of mathematics, including calculus, differential geometry, and the theory of Lie groups and Lie algebras. The modern formulations of Read more…


Adventures in Group Theory (Rubik’s Cube, Merlin’s Machine & Other Mathematical Toys)

This updated and revised edition of David Joyners entertaining “hands-on” tour of group theory and abstract algebra brings life, levity, and practicality to the topics through mathematical toys. Joyner uses permutation puzzles such as the Rubik’s Cube and its variants, Read more…


Explorations in Topology (Map Coloring, Surfaces, and Knots)

Explorations in Topology gives students a rich experience with low-dimensional topology, enhances their geometrical and topological intuition, empowers them with new approaches to solving problems, and provides them with experiences that would help them make sense of a future, more Read more…


Factorization and Primality Testing (Undergraduate Texts in Mathematics)

“About binomial theorems I’m teeming with a lot of news, With many cheerful facts about the square on the hypotenuse. ” – William S. Gilbert (The Pirates of Penzance, Act I) The question of divisibility is arguably the oldest problem Read more…


Game Theory (Decisions, Interactions and Evolution)

The outstanding feature of this book is that it provides a unified account of three types of decision problem. It covers the basic ideas of decision theory, classical game theory, and evolutionary game theory in one volume. No background knowledge Read more…


The Arithmetic of Fundamental Groups

In the more than 100 years since the fundamental group was first introduced by Henri Poincare it has evolved to play an important role in different areas of mathematics. Originally conceived as part of algebraic topology, this essential concept and Read more…