Functions Of Three Real Variables (1906) - Henry Livingston Coar - Bog

Functions Of Three Real Variables is a mathematical textbook written by Henry Livingston Coar and first published in 1906. The book is aimed at advanced students and professionals in the field of mathematical analysis, particularly those interested in the study of functions of three real variables. The book covers a wide range of topics related to functions of three real variables, including partial derivatives, directional derivatives, differentiability, continuity, integration, and vector calculus. The author presents a rigorous and detailed treatment of each topic, with numerous examples and exercises to help readers develop their understanding and problem-solving skills.The book is divided into eight chapters, each of which focuses on a specific aspect of functions of three real variables. The first chapter introduces the basic concepts of partial derivatives and differentiability, while the second chapter explores the properties of directional derivatives and the gradient. The third chapter covers the chain rule and implicit function theorem, while the fourth chapter discusses the properties of continuous functions.The fifth chapter introduces the concept of integration, including double and triple integrals, and the sixth chapter explores vector calculus, including line integrals, surface integrals, and the divergence and curl operators. The final two chapters focus on applications of the concepts covered in the book, including optimization problems and the calculus of variations.Overall, Functions Of Three Real Variables is a comprehensive and authoritative textbook that provides a thorough introduction to the study of functions of three real variables. It is an essential resource for anyone working in the field of mathematical analysis or interested in advanced calculus.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.