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Elementary analysis: the theory of Calculus

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Bibliographic Details
Main Author:	Ross, Kenneth A. 1936- (Author)
Format:	Electronic eBook
Language:	English
Published:	New York, NY [u.a.] Springer 2013
Edition:	2. ed.
Series:	Undergraduate texts in mathematics
Subjects:	Infinitesimalrechnung Analysis Differentialrechnung Integralrechnung Einführung
Links:	https://doi.org/10.1007/978-1-4614-6271-2 https://doi.org/10.1007/978-1-4614-6271-2 https://doi.org/10.1007/978-1-4614-6271-2 https://doi.org/10.1007/978-1-4614-6271-2 https://doi.org/10.1007/978-1-4614-6271-2 https://doi.org/10.1007/978-1-4614-6271-2 https://doi.org/10.1007/978-1-4614-6271-2 https://doi.org/10.1007/978-1-4614-6271-2 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026013540&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026013540&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
Physical Description:	1 Online-Ressource
ISBN:	9781461462705 9781461462712
DOI:	10.1007/978-1-4614-6271-2

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Record in the Search Index

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adam_text	ELEMENTARY ANALYSIS / ROSS, KENNETH A. : 2013 TABLE OF CONTENTS / INHALTSVERZEICHNIS PREFACE 1 INTRODUCTION 2 SEQUENCES 3 CONTINUITY 4 SEQUENCES AND SERIES OF FUNCTIONS 5 DIFFERENTIATION 6 INTEGRATION 7 CAPSTONE APPENDIX ON SET NOTATION SELECTED HINTS AND ANSWERS REFERENCES INDEX DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. ELEMENTARY ANALYSIS / ROSS, KENNETH A. : 2013 ABSTRACT / INHALTSTEXT FOR OVER THREE DECADES, THIS BEST-SELLING CLASSIC HAS BEEN USED BY THOUSANDS OF STUDENTS IN THE UNITED STATES AND ABROAD AS A MUST-HAVE TEXTBOOK FOR A TRANSITIONAL COURSE FROM CALCULUS TO ANALYSIS. IT HAS PROVEN TO BE VERY USEFUL FOR MATHEMATICS MAJORS WHO HAVE NO PREVIOUS EXPERIENCE WITH RIGOROUS PROOFS. ITS FRIENDLY STYLE UNLOCKS THE MYSTERY OF WRITING PROOFS, WHILE CAREFULLY EXAMINING THE THEORETICAL BASIS FOR CALCULUS. PROOFS ARE GIVEN IN FULL, AND THE LARGE NUMBER OF WELL-CHOSEN EXAMPLES AND EXERCISES RANGE FROM ROUTINE TO CHALLENGING. THE SECOND EDITION PRESERVES THE BOOK’S CLEAR AND CONCISE STYLE, ILLUMINATING DISCUSSIONS, AND SIMPLE, WELL-MOTIVATED PROOFS. NEW TOPICS INCLUDE MATERIAL ON THE IRRATIONALITY OF PI, THE BAIRE CATEGORY THEOREM, NEWTON S METHOD AND THE SECANT METHOD, AND CONTINUOUS NOWHERE-DIFFERENTIABLE FUNCTIONS. REVIEW FROM THE FIRST EDITION: THIS BOOK IS INTENDED FOR THE STUDENT WHO HAS A GOOD, BUT NAIVE, UNDERSTANDING OF ELEMENTARY CALCULUS AND NOW WISHES TO GAIN A THOROUGH UNDERSTANDING OF A FEW BASIC CONCEPTS IN ANALYSIS.... THE AUTHOR HAS TRIED TO WRITE IN AN INFORMAL BUT PRECISE STYLE, STRESSING MOTIVATION AND METHODS OF PROOF, AND ... HAS SUCCEEDED ADMIRABLY. —MATHEMATICAL REVIEWS. DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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spellingShingle	Ross, Kenneth A. 1936- Elementary analysis the theory of Calculus Infinitesimalrechnung (DE-588)4072798-1 gnd Analysis (DE-588)4001865-9 gnd
subject_GND	(DE-588)4072798-1 (DE-588)4001865-9 (DE-588)4151278-9
title	Elementary analysis the theory of Calculus
title_auth	Elementary analysis the theory of Calculus
title_exact_search	Elementary analysis the theory of Calculus
title_full	Elementary analysis the theory of Calculus Kenneth A. Ross
title_fullStr	Elementary analysis the theory of Calculus Kenneth A. Ross
title_full_unstemmed	Elementary analysis the theory of Calculus Kenneth A. Ross
title_short	Elementary analysis
title_sort	elementary analysis the theory of calculus
title_sub	the theory of Calculus
topic	Infinitesimalrechnung (DE-588)4072798-1 gnd Analysis (DE-588)4001865-9 gnd
topic_facet	Infinitesimalrechnung Analysis Einführung
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