The Resource Math through the ages : a gentle history for teachers and others, William P. Berlinghoff, Fernando Q. Gouvêa
Math through the ages : a gentle history for teachers and others, William P. Berlinghoff, Fernando Q. Gouvêa
Resource Information
The item Math through the ages : a gentle history for teachers and others, William P. Berlinghoff, Fernando Q. Gouvêa represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Yuma County Library District.This item is available to borrow from 1 library branch.
Resource Information
The item Math through the ages : a gentle history for teachers and others, William P. Berlinghoff, Fernando Q. Gouvêa represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Yuma County Library District.
This item is available to borrow from 1 library branch.
 Summary
 "What's new in this edition? We have added new content and also tried to make improvements to the existing material. There are five new historical sketches, on: The tangent function and how it made its way into trigonometry. Logarithms, both decimal and natural. Conic sections: ellipses, parabolas, and hyperbolas. Irrational numbers. The derivative. As always, each of these come with Questions and Projects that try to address both the mathematics and the history, challenging students to go deeper into the topic. We also worked through the whole book to improve, correct, and update. Research on the history of mathematics continues, and we have learned new things over the last ten years. Historians make mistakes, especially when they are quoting other historians, and we have tried to correct all the ones that we knew about. Many new books have been published over the last dozen years, so the bibliography has been completely updated and the notes on "what to read next" reflect the latest resources. The questions and projects have been examined and, when it seemed appropriate, revised. The Instructor's Guide was thoroughly revised as well"
 Language
 eng
 Edition
 Expanded 2nd edition.
 Extent
 xiv, 331 pages
 Contents

 Preface to the second edition
 Preface to the first edition
 History in the mathematics classroom
 The History of Mathematics in a Large Nutshell: Beginnings ; Greek mathematics ; Meanwhile, in India ; Arabic mathematics ; Medieval Europe ; The 15th and 16th centuries ; Algebra comes of age ; Calculus and applied mathematics ; Rigor and professionalism ; Abstraction, computers, and new applications ; Mathematics today
 Sketches: 1. Keeping count : writing whole numbers ; 2. Reading and writing arithmetic : the basic symbols ; 3. Nothing becomes a number : the story of zero ; 4. Broken numbers : writing fractions ; 5. Less than nothing? : negative numbers ; 6. By tens and tenths : metric measurement ; 7. Measuring the circle : the story of pi ; 8. The Cossic art : writing algebra with symbols; 9. Linear thinking : solving first degree equations; 10. A square and things : quadratic equations; 11. Intrigue in Renaissance Italy : solving cubic equations; 12. A cheerful fact : the Pythagorean theorem; 13. A marvelous proof : Fermat's last theorem; 14. On beauty bare : Euclid's plane geometry ; 15. In perfect shape : the Platonic solids ;16. Shapes by the numbers : coordinate geometry ; 17. Impossible, imaginary, useful : complex numbers ; 18. Half is better : sine and cosine ; 19. Strange new worlds : the nonEuclidean geometries ; 20. In the eye of the beholder : projective geometry ; 21. What's in a game? : the start of probability theory ; 22. Making sense of data : statistics becomes a science ; 23. Machines that think? : electronic computers ; 24. The arithmetic of reasoning : Boolean algebra ; 25. Beyond counting : infinity and the theory of sets ; 26. Out of the shadows : the tangent function ; 27. Counting ratios : logarithms ; 28. Any way you slice it : conic sections ; 29. Beyond the pale : irrational numbers ; 30. Barely touching : from tangents to derivatives
 What to Read Next: The reference shelf ; Twelve historical books you ought to read ; History Online
 When they lived
 Isbn
 9781939512123
 Label
 Math through the ages : a gentle history for teachers and others
 Title
 Math through the ages
 Title remainder
 a gentle history for teachers and others
 Statement of responsibility
 William P. Berlinghoff, Fernando Q. Gouvêa
 Language
 eng
 Summary
 "What's new in this edition? We have added new content and also tried to make improvements to the existing material. There are five new historical sketches, on: The tangent function and how it made its way into trigonometry. Logarithms, both decimal and natural. Conic sections: ellipses, parabolas, and hyperbolas. Irrational numbers. The derivative. As always, each of these come with Questions and Projects that try to address both the mathematics and the history, challenging students to go deeper into the topic. We also worked through the whole book to improve, correct, and update. Research on the history of mathematics continues, and we have learned new things over the last ten years. Historians make mistakes, especially when they are quoting other historians, and we have tried to correct all the ones that we knew about. Many new books have been published over the last dozen years, so the bibliography has been completely updated and the notes on "what to read next" reflect the latest resources. The questions and projects have been examined and, when it seemed appropriate, revised. The Instructor's Guide was thoroughly revised as well"
 Assigning source
 amazon.com
 Cataloging source
 YDXCP
 http://library.link/vocab/creatorName
 Berlinghoff, William P
 Dewey number
 510.9
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QA21
 LC item number
 .B47 2015
 Literary form
 non fiction
 Nature of contents
 bibliography
 http://library.link/vocab/relatedWorkOrContributorName
 Gouvêa, Fernando Q.
 Series statement
 MAA textbooks
 http://library.link/vocab/subjectName
 Mathematics
 Label
 Math through the ages : a gentle history for teachers and others, William P. Berlinghoff, Fernando Q. Gouvêa
 Bibliography note
 Includes bibliographical references (pages 301318) and index
 Carrier category
 volume
 Carrier category code

 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Preface to the second edition  Preface to the first edition  History in the mathematics classroom  The History of Mathematics in a Large Nutshell: Beginnings ; Greek mathematics ; Meanwhile, in India ; Arabic mathematics ; Medieval Europe ; The 15th and 16th centuries ; Algebra comes of age ; Calculus and applied mathematics ; Rigor and professionalism ; Abstraction, computers, and new applications ; Mathematics today  Sketches: 1. Keeping count : writing whole numbers ; 2. Reading and writing arithmetic : the basic symbols ; 3. Nothing becomes a number : the story of zero ; 4. Broken numbers : writing fractions ; 5. Less than nothing? : negative numbers ; 6. By tens and tenths : metric measurement ; 7. Measuring the circle : the story of pi ; 8. The Cossic art : writing algebra with symbols; 9. Linear thinking : solving first degree equations; 10. A square and things : quadratic equations; 11. Intrigue in Renaissance Italy : solving cubic equations; 12. A cheerful fact : the Pythagorean theorem; 13. A marvelous proof : Fermat's last theorem; 14. On beauty bare : Euclid's plane geometry ; 15. In perfect shape : the Platonic solids ;16. Shapes by the numbers : coordinate geometry ; 17. Impossible, imaginary, useful : complex numbers ; 18. Half is better : sine and cosine ; 19. Strange new worlds : the nonEuclidean geometries ; 20. In the eye of the beholder : projective geometry ; 21. What's in a game? : the start of probability theory ; 22. Making sense of data : statistics becomes a science ; 23. Machines that think? : electronic computers ; 24. The arithmetic of reasoning : Boolean algebra ; 25. Beyond counting : infinity and the theory of sets ; 26. Out of the shadows : the tangent function ; 27. Counting ratios : logarithms ; 28. Any way you slice it : conic sections ; 29. Beyond the pale : irrational numbers ; 30. Barely touching : from tangents to derivatives  What to Read Next: The reference shelf ; Twelve historical books you ought to read ; History Online  When they lived
 Control code
 ocn929545449
 Dimensions
 24 cm.
 Edition
 Expanded 2nd edition.
 Extent
 xiv, 331 pages
 Isbn
 9781939512123
 Lccn
 2015951223
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code

 n
 Other physical details
 illustrations
 System control number
 (OCoLC)929545449
 Label
 Math through the ages : a gentle history for teachers and others, William P. Berlinghoff, Fernando Q. Gouvêa
 Bibliography note
 Includes bibliographical references (pages 301318) and index
 Carrier category
 volume
 Carrier category code

 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Preface to the second edition  Preface to the first edition  History in the mathematics classroom  The History of Mathematics in a Large Nutshell: Beginnings ; Greek mathematics ; Meanwhile, in India ; Arabic mathematics ; Medieval Europe ; The 15th and 16th centuries ; Algebra comes of age ; Calculus and applied mathematics ; Rigor and professionalism ; Abstraction, computers, and new applications ; Mathematics today  Sketches: 1. Keeping count : writing whole numbers ; 2. Reading and writing arithmetic : the basic symbols ; 3. Nothing becomes a number : the story of zero ; 4. Broken numbers : writing fractions ; 5. Less than nothing? : negative numbers ; 6. By tens and tenths : metric measurement ; 7. Measuring the circle : the story of pi ; 8. The Cossic art : writing algebra with symbols; 9. Linear thinking : solving first degree equations; 10. A square and things : quadratic equations; 11. Intrigue in Renaissance Italy : solving cubic equations; 12. A cheerful fact : the Pythagorean theorem; 13. A marvelous proof : Fermat's last theorem; 14. On beauty bare : Euclid's plane geometry ; 15. In perfect shape : the Platonic solids ;16. Shapes by the numbers : coordinate geometry ; 17. Impossible, imaginary, useful : complex numbers ; 18. Half is better : sine and cosine ; 19. Strange new worlds : the nonEuclidean geometries ; 20. In the eye of the beholder : projective geometry ; 21. What's in a game? : the start of probability theory ; 22. Making sense of data : statistics becomes a science ; 23. Machines that think? : electronic computers ; 24. The arithmetic of reasoning : Boolean algebra ; 25. Beyond counting : infinity and the theory of sets ; 26. Out of the shadows : the tangent function ; 27. Counting ratios : logarithms ; 28. Any way you slice it : conic sections ; 29. Beyond the pale : irrational numbers ; 30. Barely touching : from tangents to derivatives  What to Read Next: The reference shelf ; Twelve historical books you ought to read ; History Online  When they lived
 Control code
 ocn929545449
 Dimensions
 24 cm.
 Edition
 Expanded 2nd edition.
 Extent
 xiv, 331 pages
 Isbn
 9781939512123
 Lccn
 2015951223
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code

 n
 Other physical details
 illustrations
 System control number
 (OCoLC)929545449
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.yumalibrary.org/portal/Maththroughtheagesagentlehistoryfor/tuRn1_dYs/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.yumalibrary.org/portal/Maththroughtheagesagentlehistoryfor/tuRn1_dYs/">Math through the ages : a gentle history for teachers and others, William P. Berlinghoff, Fernando Q. Gouvêa</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.yumalibrary.org/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.yumalibrary.org/">Yuma County Library District</a></span></span></span></span></div>