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A First Course in Mathematical Analysis[数学分析入门教程]

A First Course in Mathematical Analysis[数学分析入门教程]

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作者: David Alexander Brannan （大卫·亚历山大·布兰南）著

出版社: Cambridge University Press

出版时间: 2012-01

版次: 1

ISBN: 9780521684248

定价: 637.20

装帧: 平装

开本: 16开

纸张: 胶版纸

页数: 472页

正文语种: 英语

分类: 外文古旧书>英文书>管理

MathematicalAnalysis(oftencalledAdvancedCalculus)isgenerallyfoundbystudentstobeoneoftheirhardestcoursesinMathematics.Thistextusestheso-calledsequentialapproachtocontinuity,differentiabilityandintegrationtomakeiteasiertounderstandthesubject.TopicsthataregenerallyglossedoverinthestandardCalculuscoursesaregivencarefulstudyhere.Forexample,whatexactlyisa'continuous'function?Andhowexactlycanonegiveacarefuldefinitionof'integral'?ThelatterquestionisoftenoneofthemysteriouspointsinaCalculuscourse-anditisquitedifficulttogivearigoroustreatmentofintegration!Thetexthasalargenumberofdiagramsandhelpfulmarginnotes;andusesmanygradedexamplesandexercises,oftenwithcompletesolutions,toguidestudentsthroughthetrickypoints.Itissuitableforself-studyoruseinparallelwithastandarduniversitycourseonthesubject. DavidBrannanisProfessor,DeanandDirectorofStudiesoftheMaths&ComputingFacultyattheOpenUniversity Preface

Introduction: calculus and analysis

1. Numbers

2. Sequences

3. Series

4. Continuity

5. Limits and continuity

6. Differentiation

7. Integration

8. Power series

Appendix 1. Sets, functions and proofs

Appendix 2. Standard derivatives and primitives

Appendix 3. The first 1,000 decimal places of the square root of 2,e and pi

Appendix 4. Solutions to the problems

Index.
内容简介:
MathematicalAnalysis(oftencalledAdvancedCalculus)isgenerallyfoundbystudentstobeoneoftheirhardestcoursesinMathematics.Thistextusestheso-calledsequentialapproachtocontinuity,differentiabilityandintegrationtomakeiteasiertounderstandthesubject.TopicsthataregenerallyglossedoverinthestandardCalculuscoursesaregivencarefulstudyhere.Forexample,whatexactlyisa'continuous'function?Andhowexactlycanonegiveacarefuldefinitionof'integral'?ThelatterquestionisoftenoneofthemysteriouspointsinaCalculuscourse-anditisquitedifficulttogivearigoroustreatmentofintegration!Thetexthasalargenumberofdiagramsandhelpfulmarginnotes;andusesmanygradedexamplesandexercises,oftenwithcompletesolutions,toguidestudentsthroughthetrickypoints.Itissuitableforself-studyoruseinparallelwithastandarduniversitycourseonthesubject.
作者简介:
DavidBrannanisProfessor,DeanandDirectorofStudiesoftheMaths&ComputingFacultyattheOpenUniversity
目录:
Preface

Introduction: calculus and analysis

1. Numbers

2. Sequences

3. Series

4. Continuity

5. Limits and continuity

6. Differentiation

7. Integration

8. Power series

Appendix 1. Sets, functions and proofs

Appendix 2. Standard derivatives and primitives

Appendix 3. The first 1,000 decimal places of the square root of 2,e and pi

Appendix 4. Solutions to the problems

Index.

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A First Course in Mathematical Analysis[数学分析入门教程]

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