The Resource Introduction to Calculus and Classical Analysis, by Omar Hijab, (electronic resource)
Introduction to Calculus and Classical Analysis, by Omar Hijab, (electronic resource)
Resource Information
The item Introduction to Calculus and Classical Analysis, by Omar Hijab, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item Introduction to Calculus and Classical Analysis, by Omar Hijab, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
 Summary
 This completely selfcontained 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 highschool 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 selfcontained 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
 Language
 eng
 Edition
 4th ed. 2016.
 Extent
 1 online resource (xiii, 427 pages):
 Contents

 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
 Isbn
 9783319284002
 Label
 Introduction to Calculus and Classical Analysis
 Title
 Introduction to Calculus and Classical Analysis
 Statement of responsibility
 by Omar Hijab
 Language
 eng
 Summary
 This completely selfcontained 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 highschool 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 selfcontained 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
 http://library.link/vocab/creatorName
 Hijab, O
 Image bit depth
 0
 Literary form
 non fiction
 Series statement
 Undergraduate Texts in Mathematics,
 http://library.link/vocab/subjectName

 Mathematics
 Approximation theory
 Sequences (Mathematics)
 Special functions
 Combinatorics
 Label
 Introduction to Calculus and Classical Analysis, by Omar Hijab, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier.
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent.
 Contents
 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
 Control code
 9783319284002
 Dimensions
 unknown
 Edition
 4th ed. 2016.
 Extent
 1 online resource (xiii, 427 pages):
 File format
 multiple file formats
 Form of item
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9783319284002
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia.
 Media type code

 c
 Other control number
 10.1007/9783319284002
 Other physical details
 69 illustrations, 1 illustration in color.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)939900301
 Label
 Introduction to Calculus and Classical Analysis, by Omar Hijab, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier.
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent.
 Contents
 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
 Control code
 9783319284002
 Dimensions
 unknown
 Edition
 4th ed. 2016.
 Extent
 1 online resource (xiii, 427 pages):
 File format
 multiple file formats
 Form of item
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9783319284002
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia.
 Media type code

 c
 Other control number
 10.1007/9783319284002
 Other physical details
 69 illustrations, 1 illustration in color.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)939900301
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/IntroductiontoCalculusandClassicalAnalysis/NxGvChMYt9M/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/IntroductiontoCalculusandClassicalAnalysis/NxGvChMYt9M/">Introduction to Calculus and Classical Analysis, by Omar Hijab, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>