This book provides an accessible introduction to singularity theory from a geometric perspective. It studies curves and their singular points, explaining how geometric shapes change under deformation. The text combines intuitive geometric ideas with rigorous mathematical methods, making it suitable for undergraduate and graduate students interested in differential geometry and singularity theory.
A comprehensive academic work discussing crystallographic and metacrystallographic groups, focusing on symmetry principles and mathematical foundations in crystallography
This volume is part of the authoritative International Tables for Crystallography series and provides comprehensive data on space-group symmetry. It is an essential reference for crystallographers, physicists, chemists, and materials scientists, offering standardized descriptions of symmetry in crystal structures.
This book presents an axiomatic and mathematical approach to crystallography, focusing on symmetry operations, point groups, lattices, and space groups. It bridges geometric crystallography with modern mathematical concepts and provides insights into the structure of Euclidean space and crystal packing.
Provides practical exercises and problem-solving techniques in mathematics for students, covering topics relevant to GRA 1 C Communications.
This book introduces the use of differential equations to model biological phenomena. It covers population dynamics, epidemiology, biochemical kinetics, and other applications of ordinary and partial differential equations in biological systems. Suitable for undergraduate and graduate students in mathematics, biology, and applied sciences.
This textbook teaches how differential equations are used in the biological sciences. It is based on a successful one-semester course and helps students in life sciences understand differential equations in real biological contexts. The text introduces necessary mathematics — such as linear algebra and partial differential equations — when and where needed, using examples drawn from real …