Mathematical Problem Solving: Yearbook 2009, Association of Mathematics Educators
This book is the first in the series of the yearbooks of the Association of Mathematics Educators in Singapore. It is highly unique as it addresses a focused theme of mathematics education. The chapters of the book, illustrate the immense diversity within the theme and presents research that translates into classroom pedagogies.
Mathematics for Economics and Business provides a thorough foundation in mathematical methods for economics, business studies and accountancy students. Assuming little prior knowledge, this informal text is a great companion for those who have not studied maths in depth before. This book truly promotes self-study as students are encouraged to tackle problems as they go along and can see fully worked examples to help their understanding. Both beginners and more advanced students will find material in this book relevant to their needs.
Geometric Mechanics and Symmetry: From Finite to Infinite Dimensions (Texts in Applied and Engineering Mathematics N 12)
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 Lagrangian and Hamiltonian mechanics, in the coordinate-free language of differential geometry, are elegant and general. They pre a unifying framework for many seemingly disparate physical systems, such as n-particle systems, rigid bodies, fluids and other continua, and electromagnetic and quantum systems. text.
One of the most striking characteristics of mathematics is that thoughtful and persistent mathematical analysis often provokes totally unexpected insights into what may at first have looked like an uninteresting or intractable problem. This book gives students an opportunity to discover the nature and process of mathematics by developing their ability to investigate problems without relying on the standardized methods usually taught. The techniques required are elementary, allowing the student to concentrate on the way the material is explored and developed, and on the strategies for addressing questions whose answers are not immediately obvious.
Discrete Mathematics: An Introduction to Proofs and Combinatorics
Discrete Mathematics combines a balance of theory and applications with mathematical rigor and an accessible writing style. The author uses a range of examples to teach core concepts, while corresponding exercises allow students to apply what they learn. Throughout the text, engaging anecdotes and topics of interest inform as well as motivate learners. The text is ideal for one- or two-semester courses and for students who are typically mathematics, mathematics education, or computer science majors. Part I teaches student how to write proofs;
