A Treatise on the Integral Calculus, Vol(2) by Joseph Edwards

About this book :-
"A Treatise on the Integral Calculus, Volume 2 by Joseph Edwards" continues the author’s comprehensive exploration of "integral calculus" and its advanced applications in "mathematical analysis". Building upon the foundation laid in Volume 1, this volume delves deeper into complex integration techniques, special functions, and multiple integrals, providing a complete understanding of higher-level calculus. In this work, "Joseph Edwards" extends the theory of integration to cover areas such as definite integrals involving trigonometric and exponential functions, double and triple integrals, and the use of elliptic and hypergeometric functions. The text emphasizes analytical rigor while maintaining clarity, featuring numerous examples and exercises that guide readers through both theoretical and practical aspects of calculus. Renowned for its precision and scholarly depth, A Treatise on the Integral Calculus, Volume 2 remains an essential reference for mathematicians, educators, and students. Edwards’s methodical approach and detailed explanations make the book invaluable for those studying advanced "mathematical analysis". This volume not only completes his monumental work on integration but also stands as a testament to the enduring value of classical mathematical literature.

Book Detail :-
Title: A Treatise on the Integral Calculus, Vol(2) by Joseph Edwards
Publisher: Chelsea Publishing Company, New Yark
Year: 1922
Pages: 1014
Type: PDF
Language: English
ISBN-10 #: 0282455736, 933339365X
ISBN-13 #: 978-0282455736, 978-9333393652
License: Public Domain Work
Amazon: Amazon

About Author :-
The author Joseph Edwards was a distinguished mathematician and educator known for his exceptional contributions to "mathematics" during the late 19th and early 20th centuries. Best remembered for his monumental work, A Treatise on the Integral Calculus, "Joseph Edwards" presented the subject with precision and depth, combining theory with practical examples. His writings continue to serve as valuable references in "integral calculus", reflecting the rigor and elegance that define classical mathematical scholarship.

Book Contents :-
Change of the Variables in a Multiple Integral - Eulerian Integrals Gauss Function - Lejeune Dirichlet Integrals Liouville Integrals - Definite Integrals - Integration, Contour Integration, Taylor's Theorem - Elliptic Integrals and Functions - Elliptic Integrals, The Weierstrassian Forms - Elliptic Functions, Reduction to Standard Froms - Calculus of Variation - Double Integrals, Culverwell's Method of Discrimination - Formulae of Lagrange and Fourier - Mean Values - Chance (Random Points, Probability) - Uncertainties of Observation - Theorems of Stokes and Green. Harmonic Analysis - Supplementary Notes

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