Group action analysis developed and applied mainly by Louis Michel to the study of N-dimensional periodic lattices is the central subject of the book. Di erent basic mathematical tools currently used for the description of lattice geometry are introduced and illustrated through applications to crystal structures in two- and three-dimensional space, to abstract multi-dimensional lattices and to …
This book explains how mathematical tools can be used to solve problems in signal processing. Assuming an advanced undergraduate- or graduate-level understanding of mathematics, this second edition contains new chapters on convolution and the vector DFT, plane-wave propagation, and the BLUE and Kalman filters. It expands the material on Fourier analysis to three new chapters to provide addition…
This is the first of two volumes of a state-of-the-art survey article collection which originates from three commutative algebra sessions at the 2009 Fall Southeastern American Mathematical Society Meeting at Florida Atlantic University. The articles reach into diverse areas of commutative algebra and build a bridge between Noetherian and non-Noetherian commutative algebra. These volumes presen…
This book presents in an elementary way the recent significant developments in the qualitative theory of planar dynamical systems. The subjects are covered as follows: the studies of center and isochronous center problems, multiple Hopf bifurcations and local and global bifurcations of the equivariant planar vector fields which concern with Hilbert's 16th problem. This book is intended for grad…
Eine lernendenorientierte und adaptive Gestaltung von Unterricht erfordert von den Lehrkräften, dass sie vorhandene Kompetenzen und Lernprozesse der Schülerinnen und Schüler diagnostizieren. Außerdem müssen sie die Anforderungen von Aufgaben mit Blick auf deren Passung zu den Lernprozessen der Schülerinnen und Schüler analysieren können. Eine derart verstandene "diagnostische Kompetenz"…
Mathematics teaching and learning in the primary school; whole number arithmetic; 23rd ICMI Study; international perspectives on primary math education; social-cultural diversity of early mathematics teaching; institutional constraints of early mathematics; whole number thinking, learning and development
This book is written for students who have taken calculus and want to learn what “real mathematics" is. We hope you will find the material engaging and interesting, and that you will be encouraged to learn more advanced mathematics. This is the second edition of our text. It is intended for students who have taken a calculus course, and are interested in learning what higher mathematics is al…
Mathematics Education; Educational Psychology
Mathematics Education; Learning; Teaching
Discrete mathematics is applied in many areas including the physical, engineering, and increasingly, the social sciences. This online textbook, written by mathematics and information technology professors, is aimed at students of information technology, computer science, and applied mathematics. The focus is on applying discrete math techniques from the two broad component areas of discrete mat…