This volume introduces the fundamentals of constructive function theory with a focus on uniform approximation. It develops key concepts and methods for approximating functions and provides rigorous mathematical treatment suitable for advanced students and researchers in analysis.
This book provides a comprehensive introduction to the theory of functions of a complex variable. It covers analytic functions, complex integration, series expansions, and conformal mappings. The text is widely used by undergraduate and postgraduate students in mathematics.
This book provides a comprehensive treatment of dimension theory, a fundamental area in topology. It discusses various notions of dimension, including covering and inductive dimensions, and explores their applications in modern mathematical analysis and topology. The text is intended for advanced students and researchers in mathematics.
This book provides a detailed study of the Haar integral, a fundamental concept in abstract harmonic analysis. It develops the theory of invariant measures on topological groups and explores applications in functional analysis and modern mathematics. It is intended for advanced students and researchers.
This volume provides a comprehensive treatment of real analysis, forming Part A of a broader work on real and functional analysis. It covers fundamental concepts such as measure theory, integration, and the structure of real-valued functions, serving as a solid foundation for advanced studies in analysis and related fields.
On Growth and Form is a seminal interdisciplinary work that explores the mathematical and physical principles underlying biological growth and morphology. Thompson applies concepts from physics, geometry, and engineering to explain the shapes and structures of living organisms, challenging purely evolutionary explanations by emphasizing the role of physical laws in biological form. The second e…
This book introduces fundamental concepts of animal physiology, focusing on how animal bodies function at cellular, tissue, organ, and system levels. It likely covers processes such as respiration, circulation, digestion, excretion, and neural and hormonal regulation, emphasizing how organisms maintain homeostasis and adapt to their environments.