The Resource A Readable Introduction to Real Mathematics, by Daniel Rosenthal, David Rosenthal, Peter Rosenthal, (electronic resource)
A Readable Introduction to Real Mathematics, by Daniel Rosenthal, David Rosenthal, Peter Rosenthal, (electronic resource)
Resource Information
The item A Readable Introduction to Real Mathematics, by Daniel Rosenthal, David Rosenthal, Peter Rosenthal, (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 A Readable Introduction to Real Mathematics, by Daniel Rosenthal, David Rosenthal, Peter Rosenthal, (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
 Designed for an undergraduate course or for independent study, this text presents sophisticated mathematical ideas in an elementary and friendly fashion. The fundamental purpose of this book is to teach mathematical thinking while conveying the beauty and elegance of mathematics. The book contains a large number of exercises of varying difficulty, some of which are designed to help reinforce basic concepts and others of which will challenge virtually all readers. The sole prerequisite for reading this text is high school algebra. Topics covered include: * mathematical induction * modular arithmetic * the Fundamental Theorem of Arithmetic * Fermat's Little Theorem * RSA encryption * the Euclidean algorithm * rational and irrational numbers * complex numbers * cardinality * Euclidean plane geometry * constructibility (including a proof that an angle of 60 degrees cannot be trisected with a straightedge and compass)* infinite series * higher dimensional spaces. This textbook is suitable for a wide variety of courses and for a broad range of students of mathematics and other subjects. Mathematically inclined senior high school students will also be able to read this book. From the reviews of the first edition: “It is carefully written in a precise but readable and engaging style... I thoroughly enjoyed reading this recent addition to the Springer Undergraduate Texts in Mathematics series and commend this clear, wellorganised, unfussy text to its target audiences.” (Nick Lord, The Mathematical Gazette, Vol. 100 (547), 2016) “The book is an introduction to real mathematics and is very readable. ... The book is indeed a joy to read, and would be an excellent text for an ‘appreciation of mathematics’ course, among other possibilities.” (G.A. Heuer, Mathematical Reviews, February, 2015) “Many a benighted book misguidedly addresses the need [to teach mathematical thinking] by framing reasoning, or narrowly, proof, not as pervasive modality but somehow as itself an autonomous mathematical subject. Fortunately, the present book gets it right.... [presenting] wellchosen, basic, conceptual mathematics, suitably accessible after a K12 education, in a detailed, selfconscious way that emphasizes methodology alongside content and crucially leads to an ultimate clear payoff. ... Summing Up: Recommended. Lowerdivision undergraduates and twoyear technical program students; general readers.” (D.V. Feldman, Choice, Vol. 52 (6), February, 2015).
 Language
 eng
 Edition
 2nd ed. 2018.
 Extent
 1 online resource (XVIII, 218 pages)
 Contents

 Preface to the Second Edition
 Preface for Readers
 Preface for Instructors
 1. Introduction to the Natural Numbers
 2. Mathematical Induction
 3. Modular Arithmetic
 4. The Fundamental Theorem of Arithmetic
 5. Fermat's Theorem and Wilson's Theorem
 6. Sending and Receiving Coded Messages
 7. The Euclidean Algorithm and Applications
 8. Rational Numbers and Irrational Numbers
 9. The Complex Numbers
 10. Sizes of Infinite Sets
 11. Fundamentals of Euclidean Plane Geometry
 12. Constructability
 13. An Introduction to Infinite Series
 14. Some Higher Dimensional Spaces
 Index
 Isbn
 9783030006327
 Label
 A Readable Introduction to Real Mathematics
 Title
 A Readable Introduction to Real Mathematics
 Statement of responsibility
 by Daniel Rosenthal, David Rosenthal, Peter Rosenthal
 Language
 eng
 Summary
 Designed for an undergraduate course or for independent study, this text presents sophisticated mathematical ideas in an elementary and friendly fashion. The fundamental purpose of this book is to teach mathematical thinking while conveying the beauty and elegance of mathematics. The book contains a large number of exercises of varying difficulty, some of which are designed to help reinforce basic concepts and others of which will challenge virtually all readers. The sole prerequisite for reading this text is high school algebra. Topics covered include: * mathematical induction * modular arithmetic * the Fundamental Theorem of Arithmetic * Fermat's Little Theorem * RSA encryption * the Euclidean algorithm * rational and irrational numbers * complex numbers * cardinality * Euclidean plane geometry * constructibility (including a proof that an angle of 60 degrees cannot be trisected with a straightedge and compass)* infinite series * higher dimensional spaces. This textbook is suitable for a wide variety of courses and for a broad range of students of mathematics and other subjects. Mathematically inclined senior high school students will also be able to read this book. From the reviews of the first edition: “It is carefully written in a precise but readable and engaging style... I thoroughly enjoyed reading this recent addition to the Springer Undergraduate Texts in Mathematics series and commend this clear, wellorganised, unfussy text to its target audiences.” (Nick Lord, The Mathematical Gazette, Vol. 100 (547), 2016) “The book is an introduction to real mathematics and is very readable. ... The book is indeed a joy to read, and would be an excellent text for an ‘appreciation of mathematics’ course, among other possibilities.” (G.A. Heuer, Mathematical Reviews, February, 2015) “Many a benighted book misguidedly addresses the need [to teach mathematical thinking] by framing reasoning, or narrowly, proof, not as pervasive modality but somehow as itself an autonomous mathematical subject. Fortunately, the present book gets it right.... [presenting] wellchosen, basic, conceptual mathematics, suitably accessible after a K12 education, in a detailed, selfconscious way that emphasizes methodology alongside content and crucially leads to an ultimate clear payoff. ... Summing Up: Recommended. Lowerdivision undergraduates and twoyear technical program students; general readers.” (D.V. Feldman, Choice, Vol. 52 (6), February, 2015).
 Assigning source
 Provided by publisher
 http://library.link/vocab/creatorName
 Rosenthal, Daniel
 Image bit depth
 0
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName

 Rosenthal, David
 Rosenthal, Peter
 Series statement

 Undergraduate Texts in Mathematics,
 Springer eBooks
 Springer eBooks.
 http://library.link/vocab/subjectName

 Mathematics
 Number theory
 Geometry
 Label
 A Readable Introduction to Real Mathematics, by Daniel Rosenthal, David Rosenthal, Peter Rosenthal, (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 to the Second Edition  Preface for Readers  Preface for Instructors  1. Introduction to the Natural Numbers  2. Mathematical Induction  3. Modular Arithmetic  4. The Fundamental Theorem of Arithmetic  5. Fermat's Theorem and Wilson's Theorem  6. Sending and Receiving Coded Messages  7. The Euclidean Algorithm and Applications  8. Rational Numbers and Irrational Numbers  9. The Complex Numbers  10. Sizes of Infinite Sets  11. Fundamentals of Euclidean Plane Geometry  12. Constructability  13. An Introduction to Infinite Series  14. Some Higher Dimensional Spaces  Index
 Control code
 9783030006327
 Dimensions
 unknown
 Edition
 2nd ed. 2018.
 Extent
 1 online resource (XVIII, 218 pages)
 File format
 multiple file formats
 Form of item

 online
 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
 9783030006327
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other physical details
 63 illustrations
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)1096326816
 Label
 A Readable Introduction to Real Mathematics, by Daniel Rosenthal, David Rosenthal, Peter Rosenthal, (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 to the Second Edition  Preface for Readers  Preface for Instructors  1. Introduction to the Natural Numbers  2. Mathematical Induction  3. Modular Arithmetic  4. The Fundamental Theorem of Arithmetic  5. Fermat's Theorem and Wilson's Theorem  6. Sending and Receiving Coded Messages  7. The Euclidean Algorithm and Applications  8. Rational Numbers and Irrational Numbers  9. The Complex Numbers  10. Sizes of Infinite Sets  11. Fundamentals of Euclidean Plane Geometry  12. Constructability  13. An Introduction to Infinite Series  14. Some Higher Dimensional Spaces  Index
 Control code
 9783030006327
 Dimensions
 unknown
 Edition
 2nd ed. 2018.
 Extent
 1 online resource (XVIII, 218 pages)
 File format
 multiple file formats
 Form of item

 online
 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
 9783030006327
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other physical details
 63 illustrations
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)1096326816
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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/AReadableIntroductiontoRealMathematicsby/UD1gNcsTgdk/" 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/AReadableIntroductiontoRealMathematicsby/UD1gNcsTgdk/">A Readable Introduction to Real Mathematics, by Daniel Rosenthal, David Rosenthal, Peter Rosenthal, (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>