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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 Boston University Libraries.This item is available to borrow from all library branches.
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 Boston University Libraries.
This item is available to borrow from all library branches.
 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
 XVIII, 218 p. 63 illus.
 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)
 http://library.link/vocab/creatorName
 Rosenthal, Daniel
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut

 pO28HnENGoo
 iLpTDqbJaUo
 1fhjwqdOkrw
 Image bit depth
 0
 LC call number
 QA1939
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName

 Rosenthal, David.
 Rosenthal, Peter.
 SpringerLink
 Series statement
 Undergraduate Texts in Mathematics,
 http://library.link/vocab/subjectName

 Mathematics
 Number theory
 Geometry
 Mathematics, general
 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
 Dimensions
 unknown
 Edition
 2nd ed. 2018.
 Extent
 XVIII, 218 p. 63 illus.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783030006327
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783030006327
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783030006327
 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
 Dimensions
 unknown
 Edition
 2nd ed. 2018.
 Extent
 XVIII, 218 p. 63 illus.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783030006327
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783030006327
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783030006327
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