The universal language of numbers has allowed individuals to transcend cultural differences and make collaborative efforts to comprehend the world mathematically. Though many of these mathematicians may never have met the predecessors who made their own work possible, their collective works form the foundations of mathematics as it is known today. The books in this series introduce students not only to the theories and formulas that form the basis of each field of mathematics, but to the individuals who dedicated their lives to pushing numerical boundaries
Algebra is probably the most difficult aspect of mathematics to teach successfully and it is widely viewed by pupils as "boring" and "pointless". Nonetheless, it provides the key to the great power and potential interest of mathematics. At a time when much is being done to improve children's understanding of number, algebra teaching is too often characterized by ineffective rote learning approaches with little heed being taken of research findings and the potential of technology. This authoritative book shows a way forward.
In the international research community, the teaching and learning of algebra have received a great deal of interest. The difficulties encountered by students in school algebra show the misunderstandings that arise in learning at different school levels and raise important questions concerning the functioning of algebraic reasoning, its characteristics, and the situations conducive to its favorable development. This book looks more closely at some options that aim at giving meaning to algebra, and which are considered in contemporary research: generalization, problem solving, modeling, and functions
This book is a revised and up-dated fourth edition of a textbook designed for upper division courses in linear algebra. It includes the basic results on vector spaces over fields, determinants, the theory of a single linear transformation, and inner product spaces. While it does not presuppose an earlier course, many connections between linear algebra and calculus are worked into the discussion, making it best suited for students who have completed the calculus sequence.
Loved this subject and the book, it has clear proofs and plenty of descriptions of concepts, and it works from the very beginning and builds on itself. I would reccomend it. It is an expensive book, but I got it for a much better price here on amazon, I think it was less than half of what they were asking at the UCLA bookstore. I will certainly be buying my textbooks here from now on.
