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.
This influential monograph, translated from the Russian by D. E. Brown, presents original methods for the theory and solution of elliptic partial differential equations. Vekua utilizes the theory of functions of a complex variable to develop integral representations for solutions of general elliptic equations in two dimensions. The text covers a wide range of boundary-value problems and is wide…
This monograph investigates the deep, structural relationship between locally convex spaces and the theory of linear partial differential equations (PDEs). Trèves demonstrates how abstract functional analysis—specifically the duality theory of topological vector spaces—provides the necessary framework to solve fundamental problems in PDEs, such as existence, approximation, and regularity o…
This foundational monograph provides a rigorous and systematic exposition of the three subjects mentioned in its title, which are central to modern functional analysis and partial differential equations. Trèves develops the theory of topological vector spaces with a focus on their applications to the study of distributions (generalized functions). A major highlight is the treatment of the kern…