これほど無謀な一般向け数学解説書は、見たことがありません。何しろ、群論、数論、トポロジー、結び目理論、楕円曲線論、場の量子論、超ひも理論等の入門的教科書を読んだ後でも、この本を読んでいる間は、メインテーマに対応する6章から17章の内容の半分も理解できないのですから。
でも無理もありません。説明している内容が、最先端数学と場の理論のはざまの、また、その最先端なのですから。
しかし、読んだ後で、手元の教科書類を開いてみると、びっくりですね!今までわからなかったことが、にわかに、つながってくるのですね!
と、いうわけで、ラングランズ対応と場の量子論のかかわりに興味のある方は是非読んでみてください。英語は極めて平易ですが、内容は、非常に難解ですが。
無料のKindleアプリをダウンロードして、スマートフォン、タブレット、またはコンピューターで今すぐKindle本を読むことができます。Kindleデバイスは必要ありません。
ウェブ版Kindleなら、お使いのブラウザですぐにお読みいただけます。
携帯電話のカメラを使用する - 以下のコードをスキャンし、Kindleアプリをダウンロードしてください。
Love and Math: The Heart of Hidden Reality ハードカバー – 2013/10/1
英語版
Edward Frenkel
(著)
A New York Times Science Bestseller
What if you had to take an art class in which you were only taught how to paint a fence? What if you were never shown the paintings of van Gogh and Picasso, werent even told they existed? Alas, this is how math is taught, and so for most of us it becomes the intellectual equivalent of watching paint dry.
In Love and Math, renowned mathematician Edward Frenkel reveals a side of math weve never seen, suffused with all the beauty and elegance of a work of art. In this heartfelt and passionate book, Frenkel shows that mathematics, far from occupying a specialist niche, goes to the heart of all matter, uniting us across cultures, time, and space.
Love and Math tells two intertwined stories: of the wonders of mathematics and of one young mans journey learning and living it. Having braved a discriminatory educational system to become one of the twenty-first centurys leading mathematicians, Frenkel now works on one of the biggest ideas to come out of math in the last 50 years: the Langlands Program. Considered by many to be a Grand Unified Theory of mathematics, the Langlands Program enables researchers to translate findings from one field to another so that they can solve problems, such as Fermats last theorem, that had seemed intractable before.
At its core, Love and Math is a story about accessing a new way of thinking, which can enrich our lives and empower us to better understand the world and our place in it. It is an invitation to discover the magic hidden universe of mathematics.
What if you had to take an art class in which you were only taught how to paint a fence? What if you were never shown the paintings of van Gogh and Picasso, werent even told they existed? Alas, this is how math is taught, and so for most of us it becomes the intellectual equivalent of watching paint dry.
In Love and Math, renowned mathematician Edward Frenkel reveals a side of math weve never seen, suffused with all the beauty and elegance of a work of art. In this heartfelt and passionate book, Frenkel shows that mathematics, far from occupying a specialist niche, goes to the heart of all matter, uniting us across cultures, time, and space.
Love and Math tells two intertwined stories: of the wonders of mathematics and of one young mans journey learning and living it. Having braved a discriminatory educational system to become one of the twenty-first centurys leading mathematicians, Frenkel now works on one of the biggest ideas to come out of math in the last 50 years: the Langlands Program. Considered by many to be a Grand Unified Theory of mathematics, the Langlands Program enables researchers to translate findings from one field to another so that they can solve problems, such as Fermats last theorem, that had seemed intractable before.
At its core, Love and Math is a story about accessing a new way of thinking, which can enrich our lives and empower us to better understand the world and our place in it. It is an invitation to discover the magic hidden universe of mathematics.
- 本の長さ304ページ
- 言語英語
- 出版社Basic Books
- 発売日2013/10/1
- 対象8 and up
- 対象読者年齢13 歳以上
- 寸法16.51 x 3.18 x 24.13 cm
- ISBN-100465050743
- ISBN-13978-0465050741
商品の説明
レビュー
A New York Times Science Bestseller "Powerful, passionate and inspiring." --New York Times "[Frenkel's] winsome new memoir... is three things: a Platonic love letter to mathematics; an attempt to give the layman some idea of its most magnificent drama-in-progress; and an autobiographical account, by turns inspiring and droll, of how the author himself came to be a leading player in that drama." --New York Review of Books "With every page, I found my mind's eye conjuring up a fictional image of the book's author, writing by candlelight in the depths of the Siberian winter like Omar Sharif's Doctor Zhivago in the David Lean movie adaptation of Pasternak's famous novel. Love and Math is Edward Frenkel's Lara poems... As is true for all the great Russian novels, you will find in Frenkel's tale that one person's individual story of love and overcoming adversity provides both a penetrating lens on society and a revealing mirror into the human mind." --Keith Devlin, Huffington Post "Frenkel writes that math 'directs the flow of the universe.' It's as elegant as music and as much a part of our intellectual heritage as literature. He strives to awaken our wonder by taking us on [a] tour of his research, in which he reveals a 'hidden' world few of us encountered in school... Frenkel aims to make it understandable, even beautiful." --New York Times Book Review "Two fascinating narratives are interwoven in Love and Math, one mathematical, the other personal... Frenkel deftly takes the reader ... to the far reaches of our current understanding. He seeks to lay bare the beauty of mathematics for everyone. As he writes, 'There is nothing in this world that is so deep and exquisite and yet so readily available to all.'" --Nature "Reasoning that some of us are unwilling to engage with maths because we cannot see it, Professor Frenkel relates it tirelessly to things we can. A colourful paean to numbers." --The Guardian (UK) "Edward Frenkel mounts a passionate case against math's reputation as an arcane and boring field [and] argues for math's beauty and relevance." --Page-Turner blog, The New Yorker "Part ode, part autobiography, Love and Math is an admirable attempt to lay bare the beauty of numbers for all to see." --Scientific American "The words love and math aren't usually uttered in the same breath. But mathematician Edward Frenkel is on a mission to change that...[in his] book, 'Love and Math' [in which] the tenured professor at the University of California at Berkeley argues that the boring way that math is traditionally taught in schools has led to a widespread ignorance that may have even been responsible for the recession... [the] book tells his personal story and goes on to describe his research in the Langlands program, as well as recent mathematical discoveries that aren't regularly taught in classrooms." --Wall Street Journal "Edward Frenkel's book Love and Math is, quite simply, a love story, one man's declaration of his love for, and romantic description of, the mistress that destiny assigned him. If I had to sum up the book in one word, that word would be passion. The romantic prose, at times poetic, the broad sweep of deep and profound human ideas, and the eternal nature of fundamental questions that continually re-emerge under new disguises, cannot help but bring to mind the great Russian novels of Dostoyevsky, Pasternak, Sholokhov, and all the rest." --Huffington Post "An eye-opening, awe-inspiring, surprisingly accessible testimonial about the journey of one man and the beauty of mathematics." --Barnes and Noble "Frenkel pares the technical details to a minimum as he reflects on the platonic transcendence of mathematical concepts and marvels at their mysterious utility in explaining physical phenomena. Not merely dry formulas in textbooks, the math Frenkel celebrates fosters freedom and, yes, even distills the essence of love. A breathtaking personal and intellectual odyssey." --Booklist "Fascinating... By using analogies, [Frenkel] describes concepts such as symmetries, dimensions, and Riemann surfaces in a way that will enable nonmathematicians to understand them. Whether or not readers develop a love for math, they will get a glimpse of the love that Frenkel has for the subject. Recommended for all readers, math whizzes or not, inclined to be interested in the subject." --Library Journal "Frenkel reveals the joy of pure intellectual discovery in this autobiographical story of determination, passion, and the Langlands program... Frenkel's gusto will draw readers into his own quest, pursuing the deepest realities of mathematics as if it were 'a giant jigsaw puzzle, in which no one knows what the final image is going to look like.'" --Publishers Weekly "A fascinating peek into the author's life and work." --Kirkus Reviews "If you're not a mathematician this book might make you want to become one. And if you are a mathematician you will feel better about your profession." --Nassim Nicholas Taleb, author of The Black Swan and Antifragile "I don't know if I've ever used the words love and math together, but this book changed that. In the tradition of his heroes Andre Weil and C. N. Yang, Edward Frenkel writes of the objective beauty of numbers. Like musical notes, they exist apart from the mind, daring us to fathom their depths and assemble them in arcane narratives that tell the story of us. Reading this book, one is compelled to drop everything and give math another try; to partake of the ultimate mystery." --Chris Carter, creator of The X-Files "Edward Frenkel's riveting new book made this former math phobe fall for a subject I thought I hated. He worships math with a passion so contagious, you'll be swept away--by both the subject and Frenkel's remarkable journey. When the USSR tried to block him from university based on his Jewish surname, he literally scaled twenty-foot fences to steal into classes. Before age 21, a letter from Harvard invited him to teach, launching a career that includes writing and starring in an erotic film paying homage to Yukio Mishima, Rites of Love and Math. Frenkel's charisma is undeniable. A YouTube video of one Berkeley lecture has over 250,000 views. Not since G.H. Hardy's Mathematician's Apology has one of the field's finest minds clarified the metaphysical beauty of this misunderstood field of inquiry. Math underpins our culture's economy, medical and technological advances, and thought itself. Frenkel's call for math literacy might have staved off our recent economic crisis. This book is not just a love song for a subject and a battle cry for educational reform, it's literary pleasure at its freshest." --Mary Karr, bestselling author of The Liars' Club, Cherry, and Lit "Love and Math = fast-paced adventure story + intimate memoir + insider's account of the quest to decode a Rosetta Stone at the heart of modern math. It all adds up to a thrilling intellectual ride--and a tale of surprising passion." --Steven Strogatz, Schurman Professor of Applied Mathematics, Cornell University, and author of The Joy of x "Through his fascinating autobiography, mathematician Edward Frenkel is opening for us a window into the ambitious Langlands Program--a sweeping network that interconnects many branches of mathematics and physics. A breathtaking view of modern mathematics." --Mario Livio, astrophysicist, and author of The Golden Ratio and Brilliant Blunders "This very readable, passionately written, account of some of the most exciting ideas in modern mathematics is highly recommended to all who are curious lovers of beauty." --David Gross, Nobel Laureate in Physics "A marvelous and arresting account of the struggles, the joys, the passions of a mathematician. In this thrilling account of how Frenkel overcame the bleak anti-Semitism in his early schooling in Moscow to contribute to the grand goals of his subject, he makes the palette of mathematical ideas vivid to us by calling upon things as diverse as his mother's recipe for borscht (to explain the flavor of quantum duality) and imagined screenplays (to offer hints of the Langlands Program)." --Barry Mazur, University Professor, Harvard University, and author of Imagining Numbers "While you might think of Edward Frenkel as that mathematician who made that erotic film about math, actually you should know him as the guy who's going to help you see through your anxieties and perceive your world more deeply. Love and Math is an autobiography, a portal to understanding previously fearsome math, and the first popular account of the Langlands Program, which is one of the central creative projects of humanity at this time. This book is about knowing reality as fundamentally as possible on every level." --Jaron Lanier, author of You Are Not a Gadget and Who Owns the Future?
著者について
Edward Frenkel is a professor of mathematics at the University of California, Berkeley, which he joined in 1997 after spending a few years on the faculty at Harvard University. His recent work has focused on the Langlands Program and dualities in Quantum Field Theory. Frenkel has authored two monographs and over eighty articles in mathematical journals, and he has lectured on his work around the world. The winner of the Hermann Weyl Prize in mathematical physics, he lives in Berkeley, California.
登録情報
- 出版社 : Basic Books (2013/10/1)
- 発売日 : 2013/10/1
- 言語 : 英語
- ハードカバー : 304ページ
- ISBN-10 : 0465050743
- ISBN-13 : 978-0465050741
- 対象読者年齢 : 13 歳以上
- 寸法 : 16.51 x 3.18 x 24.13 cm
- Amazon 売れ筋ランキング: - 78,066位洋書 (洋書の売れ筋ランキングを見る)
- - 57位Group Theory
- - 66位Number Theory
- - 123位Computing Industry History
- カスタマーレビュー:
著者について
著者をフォローして、新作のアップデートや改善されたおすすめを入手してください。
著者の本をもっと発見したり、よく似た著者を見つけたり、著者のブログを読んだりしましょう
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トップレビュー
上位レビュー、対象国: 日本
レビューのフィルタリング中に問題が発生しました。後でもう一度試してください。
2016年1月1日に日本でレビュー済み
Amazonで購入
This book apparently panders to the masses, and so there is no consistency. For example, while the author refers to that famous conjecture as the Shimura-Taniyama-Weil conjecture, he refers the readers to Serge Lang's article, "Some History of the Shimura-Taniyama Conjecture" in the endnotes: roughly speaking, Serge Lang's article claims that at least Weil should be excluded from the credit for the conjecture because he was irrelevant to it. As for Taniyama, he didn't conjecture the modularity, as a matter of fact. In the end, only Shimura should get credit for the conjecture. This fact is not known especially to Japanese laypeople. For they, namely Japanese laypeople, have inclinations to turn away from the truth, or rather don't want to know it.
Besides, there are such exemplifications elsewhere.
For this reason, I rated the book as three-star.
Last but not least, I have already informed the author of my aforementioned criticism. As of this writing, there is no reply from the author.
Besides, there are such exemplifications elsewhere.
For this reason, I rated the book as three-star.
Last but not least, I have already informed the author of my aforementioned criticism. As of this writing, there is no reply from the author.
2016年5月14日に日本でレビュー済み
Amazonで購入
文章だけなら、とてもやさしく書いてあります。実際、内容を理解できたかというと、あまり理解できていないと思います。結構数学の知識が必要となってきます。前置きで難しいところは飛ばして読んでもよいとあったので、一応最後まで読むことができました。また、どのような場面でラングランズ・プログラムが関わっていくのかが、よくわかりました。まだ一度しか読んでいないため、他の本と読み比べながら、また読んでみたいと思います。数学の最先端に触れられるよい本だと思います。よい頭の体操になりそうです。せっかく読み初めたので、読破したいと思います。理論がまとまったら、さらに一冊書き上げていただきたいです。そのときは、ぜひ専門的な内容の本をお願いしたいところです。この本では、著者のフレンケル教授の人となりがよく表されています。数学専門書とは言いがたい内容でした。ですので、もっとラングランズ・プログラムの内容に迫る本がほしいです。フェルマーの最終定理もこの一部だと考えると、いかに壮大なプロジェクトなのか考えも及びません。いつの日か、完成させていただきたいと思います。
2015年7月27日に日本でレビュー済み
Amazonで購入
翻訳で一通り読み、意味のとれないところを原文で読み返すとよい。とてもわかり易く書かれていると思う。昔勉強した数学の知識も蘇り、懐かしくも楽しい読書が出来た。新しい数学の一端も知ることができ、数学がますます好きになる本です。
他の国からのトップレビュー
M.J.Dupre'(mjdupre@yahoo.com)
5つ星のうち5.0
LOVING MATHEMATICS
2024年5月25日にアメリカ合衆国でレビュー済みAmazonで購入
This is a truly remarkable and wonderful book which has so much to say about the culture of the world of Mathematics as well as the culture of the Russian world of repression and anti semitism and the resulting love of mathematics among those repressed as an intellectual outlet that communism could not contain. The breadth of mathematics covered is extremely broad, ranging virtually over the whole field. There is no other book aimed at the ordinary reader of comparable depth.
Cliente de Amazon
5つ星のうち5.0
Un libro muy motivante
2024年2月7日にメキシコでレビュー済みAmazonで購入
Es interesante como narra los retos, dificultadas que impone la vida, el esfuerzo que debe imprimirse para sobreponerse a ellas, y en el viaje cuenta como su pasión y el amor por las matemáticas lo guían a desarrollarse como persona y profesionista.
Excelente libro, muy inspirador !!!
Excelente libro, muy inspirador !!!
Amazoncustomer6969
5つ星のうち5.0
Must read
2024年3月18日にインドでレビュー済みAmazonで購入
Superb book to read about maths. It rejuvinated the child in me.
Álvaro
5つ星のうち5.0
Livro apaixonante
2024年1月26日にスペインでレビュー済みAmazonで購入
O livro toca em temas extrenamente complexos, o que pode desmotivar os leitores mais para o final. Contudo parece-me que é isso mesmo que se quer ser transmitido que fazer matemática é complexo e apaixonante, mesmo que não se perceba os promenores essas ideias de mais alto nível é que devem passar ao leitor.
Le
5つ星のうち5.0
Great book
2019年12月13日にカナダでレビュー済みAmazonで購入
Very enjoyable book to read! Recommend to everyone who may or may not hate mathematics.