The Fundamentals of Mathematical Analysis is popular PDF and ePub book, written by G. M. Fikhtengol'ts in 2014-08-01, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, The Fundamentals of Mathematical Analysis can be Read Online from any device for your convenience.
The Fundamentals of Mathematical Analysis Book PDF Summary
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.
Detail Book of The Fundamentals of Mathematical Analysis PDF
- Author : G. M. Fikhtengol'ts
- Release : 01 August 2014
- Publisher : Elsevier
- ISBN : 9781483154138
- Genre : Mathematics
- Total Page : 541 pages
- Language : English
- PDF File Size : 9,9 Mb
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