Holdings: Introduction to calculus and classical analysis

Introduction to calculus and classical analysis:

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Bibliographic Details
Main Author:	Hijab, Omar (Author)
Format:	Electronic eBook
Language:	English
Published:	Cham Springer [2016]
Edition:	Fourth edition
Series:	Undergraduate texts in mathematics
Subjects:	Mathematics Approximation theory Sequences (Mathematics) Special functions Combinatorics Approximations and Expansions Sequences, Series, Summability Special Functions Mathematik Functions, special Analysis Infinitesimalrechnung Lehrbuch
Online Access:	BTU01 FHR01 FRO01 TUM01 UBM01 UBT01 UBW01 UEI01 UPA01 Volltext Abstract Inhaltsverzeichnis
Physical Description:	1 Online Ressource (XIII, 427 Seiten, 69 illus., 1 illus. in color)
ISBN:	9783319284002
ISSN:	0172-6056
DOI:	10.1007/978-3-319-28400-2

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adam_text	INTRODUCTION TO CALCULUS AND CLASSICAL ANALYSIS / HIJAB, OMAR : 2016 ABSTRACT / INHALTSTEXT THIS COMPLETELY SELF-CONTAINED TEXT IS INTENDED EITHER FOR A COURSE IN HONORS CALCULUS OR FOR AN INTRODUCTION TO ANALYSIS. BEGINNING WITH THE REAL NUMBER AXIOMS, AND INVOLVING RIGOROUS ANALYSIS, COMPUTATIONAL DEXTERITY, AND A BREADTH OF APPLICATIONS, IT IS IDEAL FOR UNDERGRADUATE MATH MAJORS. THIS FOURTH EDITION INCLUDES AN ADDITIONAL CHAPTER ON THE FUNDAMENTAL THEOREMS IN THEIR FULL LEBESGUE GENERALITY, BASED ON THE SUNRISE LEMMA. KEY FEATURES OF THIS TEXT INCLUDE: • APPLICATIONS FROM SEVERAL PARTS OF ANALYSIS, E.G., CONVEXITY, THE CANTOR SET, CONTINUED FRACTIONS, THE AGM, THE THETA AND ZETA FUNCTIONS, TRANSCENDENTAL NUMBERS, THE BESSEL AND GAMMA FUNCTIONS, AND MANY MORE; • A HEAVY EMPHASIS ON COMPUTATIONAL PROBLEMS, FROM THE HIGH-SCHOOL QUADRATIC FORMULA TO THE FORMULA FOR THE DERIVATIVE OF THE ZETA FUNCTION AT ZERO; • TRADITIONALLY TRANSCENDENTALLY PRESENTED MATERIAL, SUCH AS INFINITE PRODUCTS, THE BERNOULLI SERIES, AND THE ZETA FUNCTIONAL EQUATION, IS DEVELOPED OVER THE REALS; • A SELF-CONTAINED TREATMENT OF THE FUNDAMENTAL THEOREMS OF CALCULUS IN THE GENERAL CASE USING THE SUNRISE LEMMA; • THE INTEGRAL IS DEFINED AS THE AREA UNDER THE GRAPH, WHILE THE AREA IS DEFINED FOR EVERY SUBSET OF THE PLANE; • 450 PROBLEMS WITH ALL THE SOLUTIONS PRESENTED AT THE BACK OF THE TEXT. REVIEWS: CHAPTER 5 IS…AN ASTONISHING TOUR DE FORCE… —STEVEN G. KRANTZ, AMERICAN MATH. MONTHLY FOR A TREATMENT…[OF INFINITE PRODUCTS AND BERNOULLI SERIES] THAT IS VERY CLOSE TO EULER’S AND EVEN MORE ELEMENTARY… —V. S. VARADARAJAN, BULLETIN AMS THIS IS A VERY INTRIGUING, DECIDEDLY UNUSUAL, AND VERY SATISFYING TREATMENT OF CALCULUS AND INTRODUCTORY ANALYSIS. IT S FULL OF QUIRKY LITTLE APPROACHES TO STANDARD TOPICS THAT MAKE ONE WONDER OVER AND OVER AGAIN, WHY IS IT NEVER DONE LIKE THIS? —JOHN ALLEN PAULOS, AUTHOR OF INNUMERACY AND A MATHEMATICIAN READS THE NEWSPAPER DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. INTRODUCTION TO CALCULUS AND CLASSICAL ANALYSIS / HIJAB, OMAR : 2016 TABLE OF CONTENTS / INHALTSVERZEICHNIS PREFACE A NOTE TO THE READER 1. THE SET OF REAL NUMBERS 2. CONTINUITY 3. DIFFERENTIATION.-4. INTEGRATION 5. APPLICATIONS 6. GENERALIZATIONS A. SOLUTIONS REFERENCES INDEX DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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spelling	Hijab, Omar Verfasser (DE-588)115519351 aut Introduction to calculus and classical analysis Omar Hijab Fourth edition Cham Springer [2016] © 2016 1 Online Ressource (XIII, 427 Seiten, 69 illus., 1 illus. in color) txt rdacontent c rdamedia cr rdacarrier Undergraduate texts in mathematics 0172-6056 Mathematics Approximation theory Sequences (Mathematics) Special functions Combinatorics Approximations and Expansions Sequences, Series, Summability Special Functions Mathematik Functions, special Analysis (DE-588)4001865-9 gnd rswk-swf Infinitesimalrechnung (DE-588)4072798-1 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Infinitesimalrechnung (DE-588)4072798-1 s DE-604 Analysis (DE-588)4001865-9 s Erscheint auch als Druckausgabe 978-3-319-28399-9 https://doi.org/10.1007/978-3-319-28400-2 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028840950&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Abstract Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028840950&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Hijab, Omar Introduction to calculus and classical analysis Mathematics Approximation theory Sequences (Mathematics) Special functions Combinatorics Approximations and Expansions Sequences, Series, Summability Special Functions Mathematik Functions, special Analysis (DE-588)4001865-9 gnd Infinitesimalrechnung (DE-588)4072798-1 gnd
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title	Introduction to calculus and classical analysis
title_auth	Introduction to calculus and classical analysis
title_exact_search	Introduction to calculus and classical analysis
title_full	Introduction to calculus and classical analysis Omar Hijab
title_fullStr	Introduction to calculus and classical analysis Omar Hijab
title_full_unstemmed	Introduction to calculus and classical analysis Omar Hijab
title_short	Introduction to calculus and classical analysis
title_sort	introduction to calculus and classical analysis
topic	Mathematics Approximation theory Sequences (Mathematics) Special functions Combinatorics Approximations and Expansions Sequences, Series, Summability Special Functions Mathematik Functions, special Analysis (DE-588)4001865-9 gnd Infinitesimalrechnung (DE-588)4072798-1 gnd
topic_facet	Mathematics Approximation theory Sequences (Mathematics) Special functions Combinatorics Approximations and Expansions Sequences, Series, Summability Special Functions Mathematik Functions, special Analysis Infinitesimalrechnung Lehrbuch
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