عنوان

A sequential introduction to real analysis /

شابک

1783267828 (hardcover : alk. paper)

شابک

1783267836 (pbk. : alk. paper)

شابک

9781783267828 (hardcover : alk. paper)

شابک

9781783267835 (pbk. : alk. paper)

شماره

dltt

عنوان اصلي

A sequential introduction to real analysis /

نام عام مواد

[Book]

نام نخستين پديدآور

J.M. Speight

نام خاص و کميت اثر

xxii, 251 pages :

ساير جزييات

illustrations ;

ابعاد

24 cm

عنوان فروست

Essential textbooks in mathematics,

مشخصه جلد

vol. 1

شاپا ي ISSN فروست

2059-7657 ;

متن يادداشت

Includes bibliographical references (pages 225-226) and index

متن يادداشت

Machine generated contents note: ch. 1 Basic properties of the set of real numbers -- 1.1.Recap of set notation -- 1.2.Functions -- 1.3.Boundedness and the Axiom of Completeness -- 1.4.Some consequences of the Axiom of Completeness -- 1.5.Summary -- 1.6.Tutorial problems -- 1.7.Homework problems -- ch. 2 Real sequences -- 2.1.Definition and examples of real sequences -- 2.2.Convergence of a real sequence -- 2.3.Summary -- 2.4.Tutorial problems -- 2.5.Homework problems -- ch. 3 Limit theorems -- 3.1.Some basic limit theorems -- 3.2.The Monotone Convergence Theorem -- 3.3.Sequences and suprema -- 3.4.Summary -- 3.5.Tutorial problems -- 3.6.Homework problems -- ch. 4 Subsequences -- 4.1.Definition and convergence properties -- 4.2.The Bolzano Weierstrass Theorem -- 4.3.Summary -- 4.4.Tutorial problems -- 4.5.Homework problems -- ch. 5 Series -- 5.1.Definition and convergence -- 5.2.Convergence tests for series -- 5.3.Alternating series -- 5.4.Absolute convergence -- 5.5.Summary --

متن يادداشت

Note continued: 10.2.Differentiability of power series -- 10.3.Properties of the exponential function -- 10.4.Elementary properties of the trigonometric functions -- 10.5.Summary -- 10.6.Tutorial problems -- 10.7.Homework problems -- ch. 11 Integration -- 11.1.Dissections and Riemann sums -- 11.2.Definition of the Riemann integral -- 11.3.A sequential characterization of integrability -- 11.4.Elementary properties of the Riemann integral -- 11.5.The Fundamental Theorem of the Calculus -- 11.6.Summary -- 11.7.Tutorial problems -- 11.8.Homework problems -- ch. 12 Logarithms and irrational powers -- 12.1.Logarithms -- 12.2.Irrational (and rational) powers -- 12.3.Summary -- 12.4.Tutorial problems -- 12.5.Homework problems -- ch. 13 What are the reals? -- 13.1.What arc the rationals? -- 13.2.The Cauchy property -- 13.3.A sequential construction of the reals

متن يادداشت

Note continued: 5.6.Tutorial problems -- 5.7.Homework problems -- ch. 6 Continuous functions -- 6.1.Sequential continuity -- 6.2.Basic properties of continuous functions -- 6.3.The Intermediate Value Theorem -- 6.4.The Extreme Value Theorem -- 6.5.Summary -- 6.6.Tutorial problems -- 6.7.Homework problems -- ch. 7 Some symbolic logic -- 7.1.Statements and their symbolic manipulation -- 7.2.Implications -- 7.3.Quantifiers -- 7.4.Summary -- 7.5.Tutorial problems -- 7.6.Homework problems -- ch. 8 Limits of functions -- 8.1.The main definition -- 8.2.Limits at infinity -- 8.3.Summary -- 8.4.Tutorial problems -- 8.5.Homework problems -- ch. 9 Differentiable functions -- 9.1.The main definition -- 9.2.The rules of differentiation -- 9.3.Functions differentiable on an interval -- 9.4.Higher derivatives and Taylor's Theorem -- 9.5.Summary -- 9.6.Tutorial problems -- 9.7.Homework problems -- ch. 10 Power series -- 10.1.Definition and radius of convergence --

بدون عنوان

0

بدون عنوان

0

بدون عنوان

0

منبع سفارش / آدرس اشتراک

ybp

شماره انبار

12415443

موضوع مستند نشده

Mathematical analysis

موضوع مستند نشده

Precalculus

مستند نام اشخاص تاييد نشده

Speight, J. M., (J. Martin)

تاريخ عمليات

20160701085336.0

قواعد فهرست نويسي ( بخش توصيفي )

rda

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y