""The Principles of Elliptic and Hyperbolic Analysis"" is a comprehensive guide to the mathematical principles and techniques of elliptic and hyperbolic analysis. Written by Alexander Macfarlane and first published in 1894, this book provides an in-depth exploration of the mathematical concepts and theories that underpin these two branches of analysis.The book begins with an introduction to the basic principles of elliptic and hyperbolic analysis, including an overview of the fundamental equations and definitions. From there, Macfarlane delves into more advanced topics, such as the theory of functions of a complex variable, integral equations, and the calculus of variations.Throughout the book, Macfarlane provides numerous examples and exercises to help readers better understand the material. He also includes a detailed bibliography for further reading and research.Overall, ""The Principles of Elliptic and Hyperbolic Analysis"" is an essential resource for anyone interested in the theory and applications of elliptic and hyperbolic analysis. Whether you are a student, researcher, or practitioner in the field of mathematics, this book offers a comprehensive and accessible introduction to these important mathematical concepts.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.