Books published by World Book Publishing Company in 2008
Analysis Basis was published in 2008World Book Publishing CompanyThe author of this book is Ross. K.A.[1]Basis of Analysis: Calculus Theory aims to provide a follow-up course for readers who are unfamiliar with strict proof.
Title
Analysis Basis
Author
Dinross
Category
mathematical analysis
press
World Book Publishing Company
Publication time
2008
Number of pages
351 pages
Folio
16 ON
Binding
paperback
ISBN
nine trillion and seven hundred and eighty-seven billion five hundred and six million two hundred and ninety-two thousand six hundred and sixty-five
It is necessary for those who study advanced analysis courses, complex variables, differential equations, Fourier analysis, numerical analysis, multivariable calculus and statistics to read Analysis Basis: Calculus Theory, which can also be used as a reference textbook for middle school teachers in the future.There is not much research on the concept of solid line Analysis Basis: Calculus Theory, and many abstract concepts, such as matrix space and ordered system, are avoided from discussion in Analysis Basis: Calculus Theory;The nature of the minimum upper bound is used immediately in Analytical Basis: Calculus Theory, and the order of solid lines runs through the whole book;The thorough explanation of numerical sequence is the basis for learning standard calculus;The elective part allows students to learn matrix space and Riemann Stieltjes integral.[2]
About the author
Announce
edit
Author: Ross. K. A (USA)
Bibliography
Announce
edit
Preface
1 Introduction
1 The Set N of Natural Numbers
2 The Set Q of Rational Numbers
3 The Set R of Real Numbers
4 The Completeness Axiom
5 The Symbols +oo and -oo
6 * A Development of R
2 Sequences
7 Limits of Sequences
8 A Discussion about Proofs
9 Limit Theorems for Sequences
10 Monotone Sequences and Cauchy Sequences
11 Subsequences
12 lira sup's and lim inf's
13 * Some Topological Concepts in Metric Spaces
14 Series
15 Alternating Series and Integral Tests
16 * Decimal Expansions of Peal Numbers
3 Continuity
17 Continuous Functions
18 Properties of Continuous Functions
19 Uniform Continuity
20 Limits of Functions
21 * More on Metric Spaces: Continuity
22 * More on Metric Spaces: Connectedness
4 Sequences and Series of Functions
23 Power Series
24 Uniform Convergence
25 More on Uniform Convergence
26 Differentiation and Integration of Power Series
