Mathematics

An advanced mathematics textbook accessible by and interesting to a relatively advanced high-school student. Topics: geometry, discrete mathematics, abstract algebra, series and ordinary differential equations, and inferential statistics.

This book is an outgrowth of classes given at the University of California, Santa Barbara, mainly for students who had little mathematical background. Many of the students indicated they never understood what mathematics was all about (beyond what

This text is intended for a brief introductory course in plane geometry. It covers the topics from elementary geometry that are most likely to be required for more advanced mathematics courses. The only prerequisite is a semester of algebra. The

This book is intended to help candidates prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Paper). STEP is an examination used by Cambridge colleges as the basis for conditional offers.

This online textbook is aimed at, but not limited to, 14 to 18 year olds who are interested in mathematics in general. Several interesting topics not covered in the standard high school curriculum are introduced in this text.

This book consists of a sequence of 270 problems – with commentary and full solutions. The reader is assumed to have a reasonable grasp of school mathematics. More importantly, s/he should want to understand something of mathematics beyond the clas

Striking an appropriate balance of mathematical and analytical rigor, Strategy and Conflict: A Non-Technical Introduction to Game Theory teaches by example. While Game Theoretic principles are the same across the board, learners typically relate be

Millions have seen the movie and thousands have read the book but few have fully appreciated the mathematics invented by John Nash's beautiful mind. Today Nash's beautiful math has become a universal language for research in the social sciences and

One of the problems in economics that economists have devoted a considerable amount of attention in prevalent years has been to ensure consistency in the models they employ. Assuming markets to be generally in some state of equilibrium, it is asked u

This textbook covers topics such as functions, single variable calculus, multivariate calculus, differential equations and complex functions. The necessary linear algebra for multivariate calculus is also outlined. More advanced topics which have bee