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.
This book provides a detailed study of the functional anatomy of invertebrates, focusing on how anatomical structures relate to physiological functions. It covers various invertebrate groups and explains their organ systems, adaptations, and biological mechanisms in a comparative and systematic manner.
This book serves as an introductory text in mathematical analysis, providing foundational concepts such as limits, continuity, and sequences. It is intended for students transitioning from elementary calculus to more rigorous analysis.
This book presents a rigorous study of linear differential equations within the framework of functional analysis and function spaces. It explores theoretical foundations and provides tools for understanding the structure and solutions of differential equations, making it valuable for advanced students and researchers in mathematics.
This book provides an introduction to differential and integral calculus, covering limits, derivatives, and applications. It is suitable for undergraduate students in mathematics, science, and engineering.