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 engage the reader and to teach a real understanding of mathematical thinking while conveying the beauty and elegance of mathematics. The text focuses on teaching the understanding of mathematical proofs. The material covered has applications both to mathematics and to other subjects. The book contains a large number of exercises of varying difficulty, designed to help reinforce basic concepts and to motivate and challenge the reader. The sole prerequisite for understanding the text is basic high school algebra; some trigonometry is needed for Chapters 9 and 12. 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 * constructability (including a proof that an angle of 60 degrees cannot be trisected with a straightedge and compass) This textbook is suitable for a wide variety of courses and for a broad range of students in the fields of education, liberal arts, physical sciences and mathematics. Students at the senior high school level who like mathematics will also be able to further their understanding of mathematical thinking by reading this book
 Language
 eng
 Extent
 XII, 161 pages 50 illustrations
 Contents

 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
 Isbn
 9783319056548
 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 engage the reader and to teach a real understanding of mathematical thinking while conveying the beauty and elegance of mathematics. The text focuses on teaching the understanding of mathematical proofs. The material covered has applications both to mathematics and to other subjects. The book contains a large number of exercises of varying difficulty, designed to help reinforce basic concepts and to motivate and challenge the reader. The sole prerequisite for understanding the text is basic high school algebra; some trigonometry is needed for Chapters 9 and 12. 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 * constructability (including a proof that an angle of 60 degrees cannot be trisected with a straightedge and compass) This textbook is suitable for a wide variety of courses and for a broad range of students in the fields of education, liberal arts, physical sciences and mathematics. Students at the senior high school level who like mathematics will also be able to further their understanding of mathematical thinking by reading this book
 Cataloging source
 ITFiEUI
 http://library.link/vocab/creatorName
 Rosenthal, Daniel
 Image bit depth
 0
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName

 Rosenthal, David.
 Rosenthal, Peter.
 SpringerLink (Online service)
 Series statement

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

 Mathematics
 Geometry
 Number theory
 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
 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
 Control code
 9783319056548
 Dimensions
 unknown
 Extent
 XII, 161 pages 50 illustrations
 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
 9783319056548
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia.
 Media type code

 c
 Other control number
 10.1007/9783319056548
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)1086467374
 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
 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
 Control code
 9783319056548
 Dimensions
 unknown
 Extent
 XII, 161 pages 50 illustrations
 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
 9783319056548
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia.
 Media type code

 c
 Other control number
 10.1007/9783319056548
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)1086467374
Library Links
Embed
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/AReadableIntroductiontoRealMathematicsby/DaEHhsskTA/" 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/DaEHhsskTA/">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>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data  Experimental
Data Citation of the Item A Readable Introduction to Real Mathematics, by Daniel Rosenthal, David Rosenthal, Peter Rosenthal, (electronic resource)
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/AReadableIntroductiontoRealMathematicsby/DaEHhsskTA/" 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/DaEHhsskTA/">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>