The Fundamentals of Mathematical Analysis
G. M. Fikhtengol'ts
ago 2014 · Elsevier
Libro electrónico
540
Páginas
family_home
Apto
info
reportLas calificaciones y opiniones no están verificadas. Más información
Acerca de este libro electrónico
The Fundamentals of Mathematical Analysis, Volume 2 is a continuation of the discussion of the fundamentals of mathematical analysis, specifically on the subject of curvilinear and surface integrals, with emphasis on the difference between the curvilinear and surface ""integrals of first kind"" and ""integrals of second kind."" The discussions in the book start with an introduction to the elementary concepts of series of numbers, infinite sequences and their limits, and the continuity of the sum of a series. The definition of improper integrals of unbounded functions and that of uniform convergence of integrals are explained. Curvilinear integrals of the first and second kinds are analyzed mathematically. The book then notes the application of surface integrals, through a parametric representation of a surface, and the calculation of the mass of a solid. The text also highlights that Green's formula, which connects a double integral over a plane domain with curvilinear integral along the contour of the domain, has an analogue in Ostrogradski's formula. The periodic values and harmonic analysis such as that found in the operation of a steam engine are analyzed. The volume ends with a note of further developments in mathematical analysis, which is a chronological presentation of important milestones in the history of analysis. The book is an ideal reference for mathematicians, students, and professors of calculus and advanced mathematics.
Califica este libro electrónico
Cuéntanos lo que piensas.
Información de lectura
Smartphones y tablets
Instala la app de Google Play Libros para Android y iPad/iPhone. Como se sincroniza de manera automática con tu cuenta, te permite leer en línea o sin conexión en cualquier lugar.
Laptops y computadoras
Para escuchar audiolibros adquiridos en Google Play, usa el navegador web de tu computadora.
Lectores electrónicos y otros dispositivos
Para leer en dispositivos de tinta electrónica, como los lectores de libros electrónicos Kobo, deberás descargar un archivo y transferirlo a tu dispositivo. Sigue las instrucciones detalladas que aparecen en el Centro de ayuda para transferir los archivos a lectores de libros electrónicos compatibles.
