Introduction to Analysis of the Infinite
Book I
Published on 21. March 2013
Book
Paperback/Softback
XV, 327 pages
978-1-4612-6988-5 (ISBN)
Description
From the preface of the author:
"...I have divided this work into two books; in the first of these I have confined myself to those matters concerning pure analysis. In the second book I have explained those thing which must be known from geometry, since analysis is ordinarily developed in such a way that its application to geometry is shown. In the first book, since all of analysis is concerned with variable quantities and functions of such variables, I have given full treatment to functions. I have also treated the transformation of functions and functions as the sum of infinite series. In addition I have developed functions in infinite series..."
More details
Edition
Softcover reprint of the original 1st ed. 1988
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Research
Illustrations
XV, 327 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 19 mm
Weight
528 gr
ISBN-13
978-1-4612-6988-5 (9781461269885)
DOI
10.1007/978-1-4612-1021-4
Schweitzer Classification
Other editions
Additional editions
Book
09/1988
Springer
€192.59
Shipment within 5-7 days
Persons
Content
I. On Functions in General.- II. On the Transformation of Functions.- III. On the Transformation of Functions by Substitution.- IV. On the Development of Functions in Infinite Series.- V. Concerning Functions of Two or More Variables.- VI. On Exponentials and Logarithms.- VII. Exponentials and Logarithms Expressed through Series.- VIII. On Transcendental Quantities Which Arise from the Circle.- IX. On Trinomial Factors.- X. On the Use of the Discovered Factors to Sum Infinite Series.- XI. On Other Infinite Expressions for Arcs and Sines.- XII. On the Development of Real Rational Functions.- XIII. On Recurrent Series.- XIV. On the Multiplication and Division of Angles.- XV. On Series Which Arise from Products.- XVI. On the Partition of Numbers.- XVII. Using Recurrent Series to Find Roots of Equations.- XVIII. On Continued Fractions.