The Resource Proofs from THE BOOK, by Martin Aigner, Günter M. Ziegler, (electronic resource)
Proofs from THE BOOK, by Martin Aigner, Günter M. Ziegler, (electronic resource)
Resource Information
The item Proofs from THE BOOK, by Martin Aigner, Günter M. Ziegler, (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 Proofs from THE BOOK, by Martin Aigner, Günter M. Ziegler, (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 revised and enlarged sixth edition of Proofs from THE BOOK features an entirely new chapter on Van der Waerden’s permanent conjecture, as well as additional, highly original and delightful proofs in other chapters. From the citation on the occasion of the 2018 "Steele Prize for Mathematical Exposition" “... It is almost impossible to write a mathematics book that can be read and enjoyed by people of all levels and backgrounds, yet Aigner and Ziegler accomplish this feat of exposition with virtuoso style. [...] This book does an invaluable service to mathematics, by illustrating for nonmathematicians what it is that mathematicians mean when they speak about beauty.” From the Reviews "... Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another. ... Aigner and Ziegler... write: "... all we offer is the examples that we have selected, hoping that our readers will share our enthusiasm about brilliant ideas, clever insights and wonderful observations." I do. ... " Notices of the AMS, August 1999 "... This book is a pleasure to hold and to look at: ample margins, nice photos, instructive pictures and beautiful drawings ... It is a pleasure to read as well: the style is clear and entertaining, the level is close to elementary, the necessary background is given separately and the proofs are brilliant. ..." LMS Newsletter, January 1999 "Martin Aigner and Günter Ziegler succeeded admirably in putting together a broad collection of theorems and their proofs that would undoubtedly be in the Book of Erdös. The theorems are so fundamental, their proofs so elegant and the remaining open questions so intriguing that every mathematician, regardless of speciality, can benefit from reading this book. ... " SIGACT News, December 2011.
 Language
 eng
 Edition
 6th ed. 2018.
 Extent
 1 online resource (VIII, 326 pages)
 Contents

 Number Theory: 1. Six proofs of the infinity of primes
 2. Bertrand’s postulate
 3. Binomial coefficients are (almost) never powers
 4. Representing numbers as sums of two squares
 5. The law of quadratic reciprocity
 6. Every finite division ring is a field
 7. The spectral theorem and Hadamard’s determinant problem
 8. Some irrational numbers
 9. Three times π2/6
 Geometry: 10. Hilbert’s third problem: decomposing polyhedral
 11. Lines in the plane and decompositions of graphs
 12. The slope problem
 13. Three applications of Euler’s formula
 14. Cauchy’s rigidity theorem
 15. The Borromean rings don’t exist
 16. Touching simplices
 17. Every large point set has an obtuse angle
 18. Borsuk’s conjecture
 Analysis: 19. Sets, functions, and the continuum hypothesis
 20. In praise of inequalities
 21. The fundamental theorem of algebra
 22. One square and an odd number of triangles
 23. A theorem of Pólya on polynomials
 24. Van der Waerden's permanent conjecture
 25. On a lemma of Littlewood and Offord
 26. Cotangent and the Herglotz trick
 27. Buffon’s needle problem
 Combinatorics: 28. Pigeonhole and double counting
 29. Tiling rectangles
 30. Three famous theorems on finite sets
 31. Shuffling cards
 32. Lattice paths and determinants
 33. Cayley’s formula for the number of trees
 34. Identities versus bijections
 35. The finite Kakeya problem
 36. Completing Latin squares
 Graph Theory: 37. Permanents and the power of entropy
 38. The Dinitz problem
 39. Fivecoloring plane graphs
 40. How to guard a museum
 41. Turán’s graph theorem
 42. Communicating without errors
 43. The chromatic number of Kneser graphs
 44. Of friends and politicians
 45. Probability makes counting (sometimes) easy
 About the Illustrations
 Index
 Isbn
 9783662572658
 Label
 Proofs from THE BOOK
 Title
 Proofs from THE BOOK
 Statement of responsibility
 by Martin Aigner, Günter M. Ziegler
 Language
 eng
 Summary
 This revised and enlarged sixth edition of Proofs from THE BOOK features an entirely new chapter on Van der Waerden’s permanent conjecture, as well as additional, highly original and delightful proofs in other chapters. From the citation on the occasion of the 2018 "Steele Prize for Mathematical Exposition" “... It is almost impossible to write a mathematics book that can be read and enjoyed by people of all levels and backgrounds, yet Aigner and Ziegler accomplish this feat of exposition with virtuoso style. [...] This book does an invaluable service to mathematics, by illustrating for nonmathematicians what it is that mathematicians mean when they speak about beauty.” From the Reviews "... Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another. ... Aigner and Ziegler... write: "... all we offer is the examples that we have selected, hoping that our readers will share our enthusiasm about brilliant ideas, clever insights and wonderful observations." I do. ... " Notices of the AMS, August 1999 "... This book is a pleasure to hold and to look at: ample margins, nice photos, instructive pictures and beautiful drawings ... It is a pleasure to read as well: the style is clear and entertaining, the level is close to elementary, the necessary background is given separately and the proofs are brilliant. ..." LMS Newsletter, January 1999 "Martin Aigner and Günter Ziegler succeeded admirably in putting together a broad collection of theorems and their proofs that would undoubtedly be in the Book of Erdös. The theorems are so fundamental, their proofs so elegant and the remaining open questions so intriguing that every mathematician, regardless of speciality, can benefit from reading this book. ... " SIGACT News, December 2011.
 Assigning source
 Provided by publisher
 http://library.link/vocab/creatorName
 Aigner, Martin
 Image bit depth
 0
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName
 Ziegler, Günter M
 Series statement

 Springer eBooks
 Springer eBooks.
 http://library.link/vocab/subjectName

 Mathematics
 Computer science
 Mathematical analysis
 Analysis (Mathematics)
 Geometry
 Number theory
 Combinatorics
 Graph theory
 Label
 Proofs from THE BOOK, by Martin Aigner, Günter M. Ziegler, (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
 Number Theory: 1. Six proofs of the infinity of primes  2. Bertrand’s postulate  3. Binomial coefficients are (almost) never powers  4. Representing numbers as sums of two squares  5. The law of quadratic reciprocity  6. Every finite division ring is a field  7. The spectral theorem and Hadamard’s determinant problem  8. Some irrational numbers  9. Three times π2/6  Geometry: 10. Hilbert’s third problem: decomposing polyhedral  11. Lines in the plane and decompositions of graphs  12. The slope problem  13. Three applications of Euler’s formula  14. Cauchy’s rigidity theorem  15. The Borromean rings don’t exist  16. Touching simplices  17. Every large point set has an obtuse angle  18. Borsuk’s conjecture  Analysis: 19. Sets, functions, and the continuum hypothesis  20. In praise of inequalities  21. The fundamental theorem of algebra  22. One square and an odd number of triangles  23. A theorem of Pólya on polynomials  24. Van der Waerden's permanent conjecture  25. On a lemma of Littlewood and Offord  26. Cotangent and the Herglotz trick  27. Buffon’s needle problem  Combinatorics: 28. Pigeonhole and double counting  29. Tiling rectangles  30. Three famous theorems on finite sets  31. Shuffling cards  32. Lattice paths and determinants  33. Cayley’s formula for the number of trees  34. Identities versus bijections  35. The finite Kakeya problem  36. Completing Latin squares  Graph Theory: 37. Permanents and the power of entropy  38. The Dinitz problem  39. Fivecoloring plane graphs  40. How to guard a museum  41. Turán’s graph theorem  42. Communicating without errors  43. The chromatic number of Kneser graphs  44. Of friends and politicians  45. Probability makes counting (sometimes) easy  About the Illustrations  Index
 Control code
 9783662572658
 Dimensions
 unknown
 Edition
 6th ed. 2018.
 Extent
 1 online resource (VIII, 326 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
 9783662572658
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783662572658
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)1040612781
 Label
 Proofs from THE BOOK, by Martin Aigner, Günter M. Ziegler, (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
 Number Theory: 1. Six proofs of the infinity of primes  2. Bertrand’s postulate  3. Binomial coefficients are (almost) never powers  4. Representing numbers as sums of two squares  5. The law of quadratic reciprocity  6. Every finite division ring is a field  7. The spectral theorem and Hadamard’s determinant problem  8. Some irrational numbers  9. Three times π2/6  Geometry: 10. Hilbert’s third problem: decomposing polyhedral  11. Lines in the plane and decompositions of graphs  12. The slope problem  13. Three applications of Euler’s formula  14. Cauchy’s rigidity theorem  15. The Borromean rings don’t exist  16. Touching simplices  17. Every large point set has an obtuse angle  18. Borsuk’s conjecture  Analysis: 19. Sets, functions, and the continuum hypothesis  20. In praise of inequalities  21. The fundamental theorem of algebra  22. One square and an odd number of triangles  23. A theorem of Pólya on polynomials  24. Van der Waerden's permanent conjecture  25. On a lemma of Littlewood and Offord  26. Cotangent and the Herglotz trick  27. Buffon’s needle problem  Combinatorics: 28. Pigeonhole and double counting  29. Tiling rectangles  30. Three famous theorems on finite sets  31. Shuffling cards  32. Lattice paths and determinants  33. Cayley’s formula for the number of trees  34. Identities versus bijections  35. The finite Kakeya problem  36. Completing Latin squares  Graph Theory: 37. Permanents and the power of entropy  38. The Dinitz problem  39. Fivecoloring plane graphs  40. How to guard a museum  41. Turán’s graph theorem  42. Communicating without errors  43. The chromatic number of Kneser graphs  44. Of friends and politicians  45. Probability makes counting (sometimes) easy  About the Illustrations  Index
 Control code
 9783662572658
 Dimensions
 unknown
 Edition
 6th ed. 2018.
 Extent
 1 online resource (VIII, 326 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
 9783662572658
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783662572658
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)1040612781
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