Math Without Numbers
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- Type：Epub+TxT+PDF+Mobi
- Create Date：2021-04-05 11:53:12
- Update Date：2025-09-06
- Status：finish
- Author：Milo Beckman
- ISBN：1524745545
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Summary
An illustrated tour of the structures and patterns we call math
The only numbers in this book are the page numbers。
Math Without Numbers is a vivid， conversational， and wholly original guide to the three main branches of abstract math--topology， analysis， and algebra--which turn out to be surprisingly easy to grasp。 This book upends the conventional approach to math， inviting you to think creatively about shape and dimension， the infinite and infinitesimal， symmetries， proofs， and how these concepts all fit together。 What awaits readers is a freewheeling tour of the inimitable joys and unsolved mysteries of this curiously powerful subject。
Like the classic math allegory Flatland， first published over a century ago， or Douglas Hofstadter's Godel， Escher， Bach forty years ago， there has never been a math book quite like Math Without Numbers。 So many popularizations of math have dwelt on numbers like pi or zero or infinity。 This book goes well beyond to questions such as: How many shapes are there？ Is anything bigger than infinity？ And is math even true？ Milo Beckman shows why math is mostly just pattern recognition and how it keeps on surprising us with unexpected， useful connections to the real world。
The ambitions of this book take a special kind of author。 An inventive， original thinker pursuing his calling with jubilant passion。 A prodigy。 Milo Beckman completed the graduate-level course sequence in mathematics at age sixteen， when he was a sophomore at Harvard; while writing this book， he was studying the philosophical foundations of physics at Columbia under Brian Greene， among others。
The only numbers in this book are the page numbers。
Math Without Numbers is a vivid， conversational， and wholly original guide to the three main branches of abstract math--topology， analysis， and algebra--which turn out to be surprisingly easy to grasp。 This book upends the conventional approach to math， inviting you to think creatively about shape and dimension， the infinite and infinitesimal， symmetries， proofs， and how these concepts all fit together。 What awaits readers is a freewheeling tour of the inimitable joys and unsolved mysteries of this curiously powerful subject。
Like the classic math allegory Flatland， first published over a century ago， or Douglas Hofstadter's Godel， Escher， Bach forty years ago， there has never been a math book quite like Math Without Numbers。 So many popularizations of math have dwelt on numbers like pi or zero or infinity。 This book goes well beyond to questions such as: How many shapes are there？ Is anything bigger than infinity？ And is math even true？ Milo Beckman shows why math is mostly just pattern recognition and how it keeps on surprising us with unexpected， useful connections to the real world。
The ambitions of this book take a special kind of author。 An inventive， original thinker pursuing his calling with jubilant passion。 A prodigy。 Milo Beckman completed the graduate-level course sequence in mathematics at age sixteen， when he was a sophomore at Harvard; while writing this book， he was studying the philosophical foundations of physics at Columbia under Brian Greene， among others。
Reviews
Peter
，
Absolutely amazing book for anyone who are ever thought about math （good and bad things alike）。 Very clear examples and truly no numbers to scare anyone away。 I recommend it for all！
Jenn Adams
，
Loved this。 Basically the math version of all those popular science books out there that bring things down to a level most people can comprehend。Thanks to NetGalley and the publisher for this eARC in exchange for my honest review。
Matt Davis
，
This is a really approachable book about math。 I picked it up because， as an engineer， everything feels like brute force numbers and I miss a little bit of algorithmic elegance。 I was hoping for a book that took a thoughtful and creative approach to some mathematical thinking and this book delivered。 There’s an informal and friendly quality to the writing of the book， which is a feat given that it discusses topology， analysis and algebra。 Milo Beckman is able to give proofs in a conversational w This is a really approachable book about math。 I picked it up because， as an engineer， everything feels like brute force numbers and I miss a little bit of algorithmic elegance。 I was hoping for a book that took a thoughtful and creative approach to some mathematical thinking and this book delivered。 There’s an informal and friendly quality to the writing of the book， which is a feat given that it discusses topology， analysis and algebra。 Milo Beckman is able to give proofs in a conversational way that a layman can grasp。 The illustrations by M Erazo are the perfect complement to these explanations and greatly contribute to understanding this book。 Math Without Numbers is a quick read and I enjoyed it。 Discussion of infinity and continuums even made me nostalgic for college discrete math courses！ 。。。more
Simon Jewell
，
Thoroughly enjoyed this deceptively breezy exploration of how maths folk think。 I really liked the illustrations。 It felt like being in the room with Milo scribbling on the blackboard and enthusiastically carrying the class along with his love of ‘math’， his doubts， and his sense of awe about how the pieces link up。
Rory Fox
，
This is a book for people who like thinking ‘about’ maths。 Readers who prefer ‘doing’ maths may well find the book a bit frustratingly vague。The choice of topics was thoughtful and the book did as it promised， exploring them without using numbers。 Some of the juxta-positioning of ideas was particularly well done， hitting readers with surprising claims like a circle and a square are the same ‘thing’ in topology （Kindle 3%）。In places I felt that some of the discussions petered out just as they wer This is a book for people who like thinking ‘about’ maths。 Readers who prefer ‘doing’ maths may well find the book a bit frustratingly vague。The choice of topics was thoughtful and the book did as it promised， exploring them without using numbers。 Some of the juxta-positioning of ideas was particularly well done， hitting readers with surprising claims like a circle and a square are the same ‘thing’ in topology （Kindle 3%）。In places I felt that some of the discussions petered out just as they were getting interesting。 The discussion on sizes of infinites and comparisons with manifolds （24%） was good， but it left unaddressed the oddness of infinity。 When Cantor published claims about it， fellow mathematicians accused him of abandoning Maths to do Mysticism， instead。 It would have been good if the book could have addressed why these kinds of issues were raised by the concept of Infinity。One of the things which I found a bit off-putting at times was the way the book veered between formal and informal terminology。 This was particularly noticeable with the names of mathematicians。 For example， Godel is mentioned by name （73%） but then there is a vague reference to intuitionist debates which I assume is the Hilbert Brouwer controversy （69%）。 I would have preferred a more consistent policy of naming the Mathematicians whose ideas are being discussed。 Overall I enjoyed the book。 It’s a relatively ‘light’ and ‘quick’ read on some interesting and thought provoking topics。 I preferred the first half， as the second half felt more disjointed and casual。 However the book ended well， linking Maths to the Standard Model in Physics。 That was a nice touch showing that Maths can ‘even’ be useful…This is an honest review of an Advanced Review Copy。 。。。more
Skye
，
posed several math concepts in an interesting and easy to understand way。 I may never see math the same way
Nick Manning
，
WOW。 This book is so accessible， taking complicated subjects and translating them lovingly into digestible portions。 I have always been enamored by math and numbers， but intimidated to approach the art of M A T H E M A T I C S， seeing it as a whole new language only for those with lots of training and prestige。 I will be referring back to this book when I feel overwhelmed in math， especially with modelling。 I loved the chapter on algebra， it was really eye-opening。 The illustrations were charmin WOW。 This book is so accessible， taking complicated subjects and translating them lovingly into digestible portions。 I have always been enamored by math and numbers， but intimidated to approach the art of M A T H E M A T I C S， seeing it as a whole new language only for those with lots of training and prestige。 I will be referring back to this book when I feel overwhelmed in math， especially with modelling。 I loved the chapter on algebra， it was really eye-opening。 The illustrations were charming and helped visualize some of the concepts。 I did see one or two numbers in this book though， spelling them out still counts！ 。。。more
Peachi
，
Whoever said you can’t fit a square peg into a round hole wasn’t considering topology。 Thanks to Milo Beckman’s， Math Without Numbers， I now have the best comeback to those naysayers。Math Without Numbers is a well illustrated， easily digestible guide through the branches of abstract math: topology， analysis， and algebra。 I devoured the book in one sitting。 It connected me back to my grade school love for math — to that uncensored， childlike inquisition of the world。 Ask a question， formulate rul Whoever said you can’t fit a square peg into a round hole wasn’t considering topology。 Thanks to Milo Beckman’s， Math Without Numbers， I now have the best comeback to those naysayers。Math Without Numbers is a well illustrated， easily digestible guide through the branches of abstract math: topology， analysis， and algebra。 I devoured the book in one sitting。 It connected me back to my grade school love for math — to that uncensored， childlike inquisition of the world。 Ask a question， formulate rules based on observations， and then develop a proof of work that unequivocally answers the inquiry。 。。。more
Leigh
，
This was a brilliant， accessible， entertaining， and informative read - I will be recommending to my math-phobic and nerdy friends alike！
Sarah128
，
2。5Not really for me。 As a math major， I was curious to see what this would be like。 I felt like some of the explanations were a little cringey （I think the author called things wubs in one chapter。。。） and it got kind of boring towards the end。
Jimmy
，
Like the first part 。。。 topology， the rest are so so for me。
Ben Cloutier
，
The first chapter （the sample they use to rope you in） is great， leading you to assume the rest of the book will be as good。 Don’t be fooled， it quickly devolves into a mess of halfhearted “proofs” which often use numbers but just spell them out instead of using the number itself。 Then the last third of the book stops being about math and becomes a ridiculous woke social commentary。
Eric
，
A refreshing look at thinking in numbers。
Beverly Mesch
，
This is an engaging and delightful book。 Milo Beckman's excitement is contagious - math is a way of seeing and understanding the world， a way of thinking about things。 He's humorous & friendly， so if you've previously approached math feeling intimidated， that's over。 It's an adventure， and will show you as much about mathematicians as it will about math。 Highly recommend！ This is an engaging and delightful book。 Milo Beckman's excitement is contagious - math is a way of seeing and understanding the world， a way of thinking about things。 He's humorous & friendly， so if you've previously approached math feeling intimidated， that's over。 It's an adventure， and will show you as much about mathematicians as it will about math。 Highly recommend！ 。。。more
Nate Bate
，
Not that I have tried that hard， but when I got this book， I finally was able to enjoy some of the theory of math without the distraction of the process。 Milo Beckman brings a fun personality to a serious subject， and he offers basic explanations to complex concepts。 This achievement shows his brilliance。 These mathematical theory building blocks will stick with me for years to come。 I have to say though， as I got toward the middle-to-end of the book， I got pretty bored。
Neal
，
A very enjoyable and thought-provoking foray into math as a thought process， a way to look at the world， a philosophy even。 Recommended for nerdy thinkers everywhere。
Sarah Faichney
，
Never did I ever think I'd consider the dimensions of personality， or vector maps in my morning coffee， yet here we are。 I'm not massively interested in maths （or indeed very good at it） but I wanted to read something different hence I chose "Maths Without Numbers" by Milo Beckman。 Some of my favourite parts were the sections about shapes and topology。 I enjoyed the analogies throughout （e。g。 room allocation at Hotel Infinity）。 The concept of continuum just about made my head explode。 The applic Never did I ever think I'd consider the dimensions of personality， or vector maps in my morning coffee， yet here we are。 I'm not massively interested in maths （or indeed very good at it） but I wanted to read something different hence I chose "Maths Without Numbers" by Milo Beckman。 Some of my favourite parts were the sections about shapes and topology。 I enjoyed the analogies throughout （e。g。 room allocation at Hotel Infinity）。 The concept of continuum just about made my head explode。 The application of graph theory in social media was particularly informative。 Overall an interesting read， accessible to all readers。 。。。more
Cory
，
This is it。 It's the pop math book we all needed。 I've been reading pop math for 10 years - since high school - and I have been searching for "the one。" Pop math is such a tricky niche and I have a million thoughts on it。 "Math Without Numbers" is the best book I've read of them all。 I'm the same age as Milo and I am so so so ready for our generation to show the math community what we've got。 We NEED new voices in math and this book is a promising start。I want to spend a lot more time digesting This is it。 It's the pop math book we all needed。 I've been reading pop math for 10 years - since high school - and I have been searching for "the one。" Pop math is such a tricky niche and I have a million thoughts on it。 "Math Without Numbers" is the best book I've read of them all。 I'm the same age as Milo and I am so so so ready for our generation to show the math community what we've got。 We NEED new voices in math and this book is a promising start。I want to spend a lot more time digesting my thoughts on this （it's only been out for 10 days， wowza）， but here are some things on my mind: 1。 It's a pretty darn good representation of what pure math actually looks like。 The overviews of topology， analysis， and algebra are extremely compelling and accurate and things I didn't know about until I declared my major。 I think this book could be future canon for anyone in intro math classes thinking to declare。 There's some math philosophy/history （"Foundations"） and applied math （"Modeling"） in there， too。 The way Milo connects these five aspects （in the tree drawing！） just clicked for me so well。 It's so simple *and* comprehensive。2。 It's not overly-sensationalized， thank god。 Milo's narrative is friendly， non-condescending， and dorky without being annoying。 In other books， there's a "pop math tone" which spends 70% of the book trying to convince you that math is elegant and fun - that's not this。 Here's just one example of how it can be informative， understandable， and approachable:"This is called an 'infinite family' argument， and it's a pretty common tool in mathematics for when you want to show there's infinity of something。 I find it convincing - I don't really see how you could argue against it。 There have to be infinity of something if you can keep making more of them forever。" 3。 I learned some new stuff。 I won't lie。 Most of the enjoyment came from already knowing the content and thinking， "Okay， how he's going to pull this off without numbers？" and then being left dumbstruck （Cantor's diagonalization argument was especially interesting without numbers）。 But the manifold chapter， the Standard model chapter， and game trees were new concepts for me。 I had to visibly slow down in the Standard model chapter which is how I imagine others may read the other chapters。 It was still understandable and enjoyable。 4。 It's secretly a book about "Why do math？" but actually has math。5。 The illustrations are charming。 The illustrations are done by m erazo （emulsify） and they're simultaneously informative， clear， with a little bit of spunk。 There are little details that show more inclusivity， which is what I mean about beckoning a new age of pop math。 For example， drawings of hands that contain tattoos， a line up of people of different sizes with one person in a wheelchair， or drawings of coins from different countries。 It's subtle but appreciated。 The writing in the book very lightly touches on the Whiteness of math but it's far from the central focus of the book。6。 This is a good example of how a conceit can create something amazing。 Do I think that the "without numbers" part is gimmicky？ Absolutely not。 I noticed a while ago that any time numbers or equations came up in pop math books， I just kind of shut down because it was not enjoyable to read - and I *like* math。 "Math Without Numbers" is a broad-level view but it's not at the expense of how most mathematicians feel about math。7。 My only critical point would be that the "Foundations" chapter was my least favorite chapter。 I think the dialogue was a creative way to introduce the material and it reminded me of "Dialogues on Mathematics" by Renyi which made me smile a little。 I just wish that chapter was a little "tighter" than the rest of the book， but it was still enjoyable。So bravo and thank you for writing this。 Once I read it， it was "retrospectively obvious" （as my old math professor would say） that this needed to exist。 。。。more
Wes Austin
，
Wonderful read as someone who finds math conceptually interesting but isn’t particularly good at it。 Explained a lot of concepts I knew about but only had surface level understanding of。 The final two chapters in particular are revelatory。 Great read！
Patrick
，
Another on a growing list of enjoyable math books appealing to a wider audience。 That being said， I do wonder what type of audience the author had in mind， as there are moments where the casualness of tone and hastiness of explanation did not do justice to the complexity of the idea， but maybe that's the point？ The chapter on Dimension was probably my favorite。 I will DEFINITELY be using the faucet analogy to introduce polar coordinates from now on。 🚰 Another on a growing list of enjoyable math books appealing to a wider audience。 That being said， I do wonder what type of audience the author had in mind， as there are moments where the casualness of tone and hastiness of explanation did not do justice to the complexity of the idea， but maybe that's the point？ The chapter on Dimension was probably my favorite。 I will DEFINITELY be using the faucet analogy to introduce polar coordinates from now on。 🚰 。。。more
Brian Clegg
，
In some ways， this is the best book about pure mathematics for the general reader that I've ever seen。 At first sight， Milo Beckman's assertion that 'the only numbers in this book are the page numbers' seems like one of those testing limits some authors place on themselves， such as Roberto Trotter's interesting attempt to explain cosmology using only the 1，000 most common words in the English language， The Edge of the Sky。 But in practice， Beckman's conceit is truly liberating。 Dropping numbers In some ways， this is the best book about pure mathematics for the general reader that I've ever seen。 At first sight， Milo Beckman's assertion that 'the only numbers in this book are the page numbers' seems like one of those testing limits some authors place on themselves， such as Roberto Trotter's interesting attempt to explain cosmology using only the 1，000 most common words in the English language， The Edge of the Sky。 But in practice， Beckman's conceit is truly liberating。 Dropping numbers enables him to present maths （I can't help but wince a bit at the 'math' in the title） in a far more comprehensible way。 Counting and geometry may have been the historical origin of mathematics， but it has moved on。The book is divided into three primary sections - topology， analysis and algebra， plus a rather earnest dialogue on foundations of mathematics exploring the implications of Gödel's incompleteness theorems， and a closing section on modelling （including automata and 'science'）。 What this approach enables Beckman to do brilliantly is to move the image of mathematics away from school maths and onto what professional mathematicians spend their time on。 What's more， and perhaps more impressively for a reader who has only ever been interested in applications， it gives the best appreciation I've seen of what the point of pure mathematics is - why some find it so delightful and interesting。Along the way in those summary headings we come across shapes， manifolds， dimensions， infinity， maps， abstraction， structures and inference。 We do eventually meet， for example， sets - though they come surprisingly late when taking a conventional view。 Of course not everything can be covered in detail。 Groups for example， crop up with brief coverage of both symmetry groups and wallpaper groups - but we are never told what a group is。 Of course， most topics have to be handled distinctly briefly。 This isn't a long book （I'd say it's just the right length to be enjoyable without being either trivial or getting bogged down）， but Beckman fits a lot in。I do have a couple of small issues。 As mentioned， we're told from the start the only numbers in the book are the page numbers。 This isn't strictly true - numbers as words crop up reasonably regularly。 And though it does provide the freedom I mentioned， in one case - Cantor's diagonal argument for the infinity of the continuum - I found the non-numeric explanation far harder to get your head around than the traditional approach using numbers。 It was also， perhaps， a little unfair to include （presumably as a diversion - they aren't given any context） a pair of logic puzzles without providing the solutions: one was straightforward， but the other had some issues。 In terms of content， things went ever so slightly astray when Beckman strayed into science， telling us that Newton's gravitational relationship depended on the weights of the two bodies。No book is perfect， though。 The fact remains that Math Without Numbers is a brilliant introduction to pure mathematics and a delight from end to end。 。。。more
Lou
，
Math Without Numbers is an illustrated tour of the structures and patterns we call "math" and a vivid， conversational， and wholly original guide to the three main branches of abstract math—topology， analysis， and algebra—which turn out to be surprisingly easy to grasp。 This book upends the conventional approach to math， inviting you to think creatively about shape and dimension， the infinite and infinitesimal， symmetries， proofs， and how these concepts all fit together。 What awaits readers is a Math Without Numbers is an illustrated tour of the structures and patterns we call "math" and a vivid， conversational， and wholly original guide to the three main branches of abstract math—topology， analysis， and algebra—which turn out to be surprisingly easy to grasp。 This book upends the conventional approach to math， inviting you to think creatively about shape and dimension， the infinite and infinitesimal， symmetries， proofs， and how these concepts all fit together。 What awaits readers is a freewheeling tour of the inimitable joys and unsolved mysteries of this curiously powerful subject。 Like the classic math allegory Flatland， first published over a century ago， or Douglas Hofstadter's Godel， Escher， Bach forty years ago， there has never been a math book quite like Math Without Numbers。 So many popularizations of math have dwelt on numbers like pi or zero or infinity。 This book goes well beyond to questions such as: How many shapes are there？ Is anything bigger than infinity？ And is math even true？Milo Beckman shows why math is mostly just pattern recognition and how it keeps on surprising us with unexpected， useful connections to the real world。 The ambitions of this book take a special kind of author。 An inventive， original thinker pursuing his calling with jubilant passion。 A prodigy。 Milo Beckman completed the graduate-level course sequence in mathematics at age sixteen， when he was a sophomore at Harvard; while writing this book， he was studying the philosophical foundations of physics at Columbia under Brian Greene， among others。 As someone who dislikes maths quite a bit I found this an intriguing concept for a book and thankfully ended up finding it really accessible， understandable and ultimately fascinating。 Written in a down to earth fashion， this helps you to see maths from a wholly different angle and allows even me， someone who despised maths as a kid， to find the concepts discussed interesting。 A surprisingly engaging read， I urge anyone prone to avoiding the subject to give this a go。 Highly recommended。 。。。more
Amber
，
I LOVED THIS BOOK。 I will definitely be rereading it and recommending it to students。 I could see chunking it into pieces for students （or even to reread myself）。 I loved that it explored different fields then typical school math， it was accessible and entertaining。 I loved the proofs， the visuals were great。 All around great read。
Rachel
，
I adored this book。 It's true to its premise - no numbers， but mind-blowing mathematical ways about thinking about everything in the entire universe （literally）。 I was even more shocked when I read the author's bio and realized how young he is。 The tone is so inviting and mature， I expected the book to be written by a long-time college professor or something， someone who had learned how to introduce people to a complex topic。 Perhpas it's unfair that the author's youth makes the tone so much mor I adored this book。 It's true to its premise - no numbers， but mind-blowing mathematical ways about thinking about everything in the entire universe （literally）。 I was even more shocked when I read the author's bio and realized how young he is。 The tone is so inviting and mature， I expected the book to be written by a long-time college professor or something， someone who had learned how to introduce people to a complex topic。 Perhpas it's unfair that the author's youth makes the tone so much more impressive to me， but it's true。 This will be on my recommended and re-read lists for sure。 。。。more
Maurizio Codogno
，
Un approccio che non vi sembrerà matematicoNelle note finali， l'autore è descritto come un ragazzo prodigio che "ha lavorato per tre compagnie high tech， due banche e un senatore per poi dedicarsi all'insegnamento compiuti i 19 anni"。 Generalmente una presentazione di questo genere non mi mette affatto in una buona predisposizione: ma in questo caso riconosco che il libro merita davvero。 Tenete conto che， numeri o non numeri， questo non è un libro che spiega la matematica。 Esso racconta in fatti Un approccio che non vi sembrerà matematicoNelle note finali， l'autore è descritto come un ragazzo prodigio che "ha lavorato per tre compagnie high tech， due banche e un senatore per poi dedicarsi all'insegnamento compiuti i 19 anni"。 Generalmente una presentazione di questo genere non mi mette affatto in una buona predisposizione: ma in questo caso riconosco che il libro merita davvero。 Tenete conto che， numeri o non numeri， questo non è un libro che spiega la matematica。 Esso racconta in fatti un po' di idee di matematica che stanno al di fuori di quello che si studia a scuola， come del resto indicato sin dall'inizio con l'"albero della conoscenza" （tra l'altro， i disegni di m erazo aumentano il fascino del testo）， ma senza pretese di spiegare come funzionano， per l'ottima ragione che servirebbe molto più spazio。 Questo significa insomma che anche chi ha paura della matematica può apprezzarlo， proprio perché non "si fa" matematica。 Proprio per questo la sezione finale， con la teoria del tutto tradotta come "l'universo è una struttura matematica"， è un po' spiazzante per chi è abituato a vedere di solito la divulgazione fisica， ma ha il suo senso nel contesto。 La parte più debole è probabilmente il dialogo sui fondamenti della matematica， che potrebbe venire a noia a molti: la cosa buffa è che a quanto pare c'è però tutta una corrente di scrittori che ritiene che i fondamenti devono essere spiegati con i dialoghi。 Conoscevo Imre Toth e il suo libro No！; mentre leggevo questo libro ho anche scoperto che un'ottantina di anni fa Arend Heyting cominciò il suo libro sull'intuizionismo con un dialogo a cinque voci。 （Ma tutta questa è filosofia della matematica， non matematica。。。）。 Per la cronaca， il titolo del numero è corretto: Beckman non usa numeri ma li scrive in lettere。 Quindi per esempio la superficie di una sfera è S-two， e non S²; e riesce persino a fare una dimostrazione del fatto che i numeri reali sono più dei razionali senza usare numeri。 Niente male。。。 。。。more
Zoe M
，
I'm a maths nerd， some people jump with joy when a favourite author releases a new book。 I jumped with joy for a maths book！。 Yup maths nerd！I did plan to read this in the hope I could help my son who is struggling with maths but I don't think he would get it。So， although my first plan didn't work I did end up reading it myself and I loved it。 Fun， quirky and energetically written。 I enjoyed reading about the different concepts of shapes and how algebra can be broken down。 I did actually learn s I'm a maths nerd， some people jump with joy when a favourite author releases a new book。 I jumped with joy for a maths book！。 Yup maths nerd！I did plan to read this in the hope I could help my son who is struggling with maths but I don't think he would get it。So， although my first plan didn't work I did end up reading it myself and I loved it。 Fun， quirky and energetically written。 I enjoyed reading about the different concepts of shapes and how algebra can be broken down。 I did actually learn some new facts and I am confident I can transfer what I've learned to help my son。 I liked the idea of maths without numbers， it sounds less scary。 Maths nerds will love it！ 。。。more
Lisa Konet
，
I thought this book was quite delightful and the main characters were different math terms or different branches of math。 This was so well explained and researched it reminded me about some of the math concepts I actually enjoy。 I was someone who had severe math anxiety at a young age and through most of high school until I discovered polynomials and algebra; math I was actually good at doing。 I wish math had been introduced like this from the beginning。 I like the early chapters on topology and I thought this book was quite delightful and the main characters were different math terms or different branches of math。 This was so well explained and researched it reminded me about some of the math concepts I actually enjoy。 I was someone who had severe math anxiety at a young age and through most of high school until I discovered polynomials and algebra; math I was actually good at doing。 I wish math had been introduced like this from the beginning。 I like the early chapters on topology and manifolds。 This book definitely brings out the inner nerd in everyone。 I will definitely be purchasing a hard copy of this when it is available because this makes math fun again。Thanks to Netgalley， Milo Beckham and Dutton， a division of Penguiin Group publishing for an ARC in exchange for an honest review。 I really enjoyed this！Available:: 10/27/20 。。。more
Reference
google book https://www.google.com/search?tbm=bks&q=Math Without Numbers
hathitrust digital library https://babel.hathitrust.org/cgi/ls?q1=Math Without Numbers&field1=ocr&a=srchls&ft=ft&lmt=ft
The British Library https://bll01.primo.exlibrisgroup.com/discovery/search?query=any,contains,Math Without Numbers&tab=LibraryCatalog&search_scope=Not_BL_Suppress&vid=44BL_INST:BLL01&lang=en&offset=0