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Proofs from THE BOOK

Description:

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 non-mathematicians 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


Read more

Review

Select Guide Rating

From the Back Cover

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 non-mathematicians 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 fromreading this book. ... "

SIGACT News, December 2011


Reviews:

5.0 out of 5 stars Succint compendium of the best mathematical proofs

D.R.B. · 13 November 2024

For any reasonable accomplished mathematician, a fine collection of the most elegant proofs of the standard canon. Some curious proofs (e.g. topological proof of infinitude of primes) which are fun to puzzle out. But generally seeing how a given result may be proved elegantly using different techniques is a great way to get a diverse view of the subject.

4.0 out of 5 stars Some memorable simple proofs

G.C. · 7 July 2020

The book has a number of simple, memorable and elegant proofs -- it is great fun to work through Erdos' clever proof that the infinite sum of the reciprocals of all prime numbers diverges, for example. It is a good book for dipping into and out of, but I did not read it thoroughly from cover to cover.

Just amazing

F.A. · 24 September 2024

I loved this book

The "must have" book for everyone who loves mathematics

P.G. · 25 November 2018

"THE BOOK" is, of course, a creation by the late Hungarian mathematician Paul Erdős - a mythical "bible" containing the most elegant and insightful proofs of important theorems. You might think that only serious mathematicians would be able to understand these proofs, but it is not so. Many are quite elementary, and most are accessible to anyone with an undergraduate degree in mathematics or physics, or even people who just enjoy reading mathematics. There are many pleasant surprises: one of the first is a proof that there are an infinite number of primes - using topology! I won't give any more spoilers. The book is not cheap but it is good value: you will get many hours of delight and amazement from it.

Fantástico

S. · 17 January 2025

Libro muy completo para los amantes de las matemáticas.

Buena compra

E.b.D. · 4 April 2024

Un libro bastante interesante. Llego a tiempo y sin ningún problema

belles démonstrations de mathématiques

t. · 1 March 2019

Livre très intéressant mais pas si facile que cela d'accès. Il me semble qu'il faut de bonnes bases en mathématiques pour le lire.

Visit the Springer Store

Proofs from THE BOOK

Product ID: K3662572648
Condition: New

4.8

AED44377

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Type: Hardcover
Availability: In Stock

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Imported From: United Kingdom

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Unless otherwise stated, all prices displayed on the product page include applicable taxes and import duties.

BOLO operates in accordance with the laws and regulations of United Arab Emirates. Any items found to be restricted or prohibited for sale within the UAE will be cancelled prior to shipment. We take proactive measures to ensure that only products permitted for sale in United Arab Emirates are listed on our website.

All items are shipped by air, and any products classified as “Dangerous Goods (DG)” under IATA regulations will be removed from the order and cancelled.

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Visit the Springer Store

Proofs from THE BOOK

Product ID: K3662572648
Condition: New

4.8

Proofs from THE BOOK-0
Type: Hardcover

AED44377

Price includes VAT & Import Duties
Availability: In Stock

Quantity:

|

Order today to get by 7-14 business days

This item qualifies for free delivery

Returns & Warranty policies

Imported From: United Kingdom

At BOLO, we work hard to ensure the products you receive are new, genuine, and sourced from reputable suppliers.

BOLO is not an authorized or official retailer for most brands, nor are we affiliated with manufacturers unless specifically stated on a product page. Instead, we source verified sellers, authorized distributors or directly from the manufacturer.

Each product undergoes thorough inspection and verification at our consolidation and fulfilment centers to ensure it meets our strict authenticity and quality standards before being shipped and delivered to you.

If you ever have concerns regarding the authenticity of a product purchased from us, please contact Bolo Support. We will review your inquiry promptly and, if necessary, provide documentation verifying authenticity or offer a suitable resolution.

Your trust is our top priority, and we are committed to maintaining transparency and integrity in every transaction.

All product information, images, descriptions, and reviews originate from the manufacturer or from trusted sellers overseas. BOLO is not affiliated with, endorsed by, or an authorized retailer for most brands listed on our website unless stated otherwise.

While we strive to display accurate information, variations in packaging, labeling, instructions, or formulation may occasionally occur due to regional differences or supplier updates. For detailed or manufacturer-specific information, please contact the brand directly or reach out to BOLO Support for assistance.

Unless otherwise stated, all prices displayed on the product page include applicable taxes and import duties.

BOLO operates in accordance with the laws and regulations of United Arab Emirates. Any items found to be restricted or prohibited for sale within the UAE will be cancelled prior to shipment. We take proactive measures to ensure that only products permitted for sale in United Arab Emirates are listed on our website.

All items are shipped by air, and any products classified as “Dangerous Goods (DG)” under IATA regulations will be removed from the order and cancelled.

All orders are processed manually, and we make every effort to process them promptly once confirmed. Products cancelled due to the above reasons will be permanently removed from listings across the website.

Description:

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 non-mathematicians 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


Read more

Review

Select Guide Rating

From the Back Cover

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 non-mathematicians 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 fromreading this book. ... "

SIGACT News, December 2011


Reviews:

5.0 out of 5 stars Succint compendium of the best mathematical proofs

D.R.B. · 13 November 2024

For any reasonable accomplished mathematician, a fine collection of the most elegant proofs of the standard canon. Some curious proofs (e.g. topological proof of infinitude of primes) which are fun to puzzle out. But generally seeing how a given result may be proved elegantly using different techniques is a great way to get a diverse view of the subject.

4.0 out of 5 stars Some memorable simple proofs

G.C. · 7 July 2020

The book has a number of simple, memorable and elegant proofs -- it is great fun to work through Erdos' clever proof that the infinite sum of the reciprocals of all prime numbers diverges, for example. It is a good book for dipping into and out of, but I did not read it thoroughly from cover to cover.

Just amazing

F.A. · 24 September 2024

I loved this book

The "must have" book for everyone who loves mathematics

P.G. · 25 November 2018

"THE BOOK" is, of course, a creation by the late Hungarian mathematician Paul Erdős - a mythical "bible" containing the most elegant and insightful proofs of important theorems. You might think that only serious mathematicians would be able to understand these proofs, but it is not so. Many are quite elementary, and most are accessible to anyone with an undergraduate degree in mathematics or physics, or even people who just enjoy reading mathematics. There are many pleasant surprises: one of the first is a proof that there are an infinite number of primes - using topology! I won't give any more spoilers. The book is not cheap but it is good value: you will get many hours of delight and amazement from it.

Fantástico

S. · 17 January 2025

Libro muy completo para los amantes de las matemáticas.

Buena compra

E.b.D. · 4 April 2024

Un libro bastante interesante. Llego a tiempo y sin ningún problema

belles démonstrations de mathématiques

t. · 1 March 2019

Livre très intéressant mais pas si facile que cela d'accès. Il me semble qu'il faut de bonnes bases en mathématiques pour le lire.

Similar suggestions by Bolo

More from this brand

Similar items from “Mathematical Analysis”

Share with

Or share with link

https://www.bolo.ae/products/K3662572648