LOVE AND MATH THE HEART OF HIDDEN REALITY PDF
Love and math: the heart of hidden reality / Edward Frenkel. pages cm Includes bibliographical references and index. ISBN (hardback). Love and Math: The. Heart of Hidden Reality. Reviewed by Anthony W. Knapp. Love and Math: The Heart of Hidden Reality. Edward Frenkel. Basic Books, Editorial Reviews. From Publishers Weekly. U.C. Berkley mathematician Frenkel reveals the joy of pure intellectual discovery in this autobiographical story of.
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PDF | On Jun 4, , William Gasarch and others published Review of: Love and Math: The Heart of Hidden Reality by Edward Frenkel. Love & Math, The heart of hidden reality, by Edward Frenkel. Basic Books, , ISBN (hbk), pp. Edw ard. F renkel. Ever since he grew. The Perseus Books Group. Hardback. Book Condition: new. BRAND NEW, Love and Math: The Heart of Hidden Reality, Edward Frenkel, Ruth B. Caplan.
Consider this paradox: On the one hand, mathematics is woven in the very fabric of our daily lives. Every time we make an online download, send a text message, do a search on the Internet, or use a GPS device, mathematical formulas and algorithms are at play. On the other hand, most people are daunted by math.
I see two main reasons. First, mathematics is more abstract than other subjects, hence not as accessible.
Second, what we study in school is only a tiny part of math, much of it established more than a millennium ago. Mathematics has advanced tremendously since then, but the treasures of modern math have been kept hidden from most of us.
What if you were never shown the paintings of Leonardo da Vinci and Picasso? Would that make you appreciate art?
Would you want to learn more about it? I doubt it. While the paintings of the great masters are readily available, the math of the great masters is locked away. In our world, increasingly driven by science and technology, mathematics is becoming, ever more, the source of power, wealth, and progress.
Hence those who are fluent in this new language will be on the cutting edge of progress. For example, Albert Einstein was not trying to fit any data into equations when he understood that gravity causes our space to curve.
In fact, there was no such data.
But Einstein understood that this was the only way to generalize his special relativity theory to non-inertial systems, coupled with his insight that gravity and acceleration have the same effect. This was a high-level intellectual exercise within the realm of math, one in which Einstein relied on the work of a mathematician, Bernhard Riemann, completed fifty years earlier.
The human brain is wired in such a way that we simply cannot imagine curved spaces of dimension greater than two; we can only access them through mathematics.
Edward Frenkel: Love and Math —The Heart of Hidden Reality
Many examples like this may be found, and not only in physics, but in other areas of science we will discuss some of them below. History shows that science and technology are transformed by mathematical ideas at an accelerated pace; even mathematical theories that are initially viewed as abstract and esoteric later become indispensable for applications. Like most people, I thought math was a stale, boring subject. But I was lucky: in my last year of high school I met a professional mathematician who opened the magical world of math to me.
I learned that mathematics is full of infinite possibilities as well as elegance and beauty, just like poetry, art, and music. I fell in love with math. Mathematics will get under your skin just like it did under mine, and your worldview will never be the same.
Reviews of LOVE & MATH
They are objective, persistent, necessary truths. A mathematical formula or theorem means the same thing to anyone anywhere — no matter what gender, religion, or skin color; it will mean the same thing to anyone a thousand years from now. There is nothing in this world that is so deep and exquisite and yet so readily available to all.
That such a reservoir of knowledge really exists is nearly unbelievable.
One of the key functions of mathematics is the ordering of information. 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.
The Love of the title is much more about love of mathematics than love of another person, as Frenkel provides a detailed story of what it is like to fall in love with mathematics, then pursue this deeply, ending up doing mathematics at the highest level. Along the way, there are lots of different things going on in the book, all of them quite interesting.
A large part of the book is basically a memoir, recounting Frenkel's eventful career, which began in a small city in the former Soviet Union.
He explains how he fell in love with mathematics, his struggles with the grotesque anti-Semitism of the Soviet system of that time, his experiences with Gelfand and others, and how he came to the US and ended up beginning a successful academic career in the West at Harvard.
Perhaps the most remarkable part of the book though is the way it makes a serious attempt to tackle the problem of explaining the Langlands program. The ways included scaling fences. Within a few years he was collaborating with mathematicians in the same department that had rejected him, and publishing original research.
He never went back. Alongside the story of his life, Frenkel tells the story of his mathematics. His focus is a body of work called the Langlands Program, after Robert Langlands of the Institute for Advanced Study although dozens of other mathematicians have contributed to it over the past 40 years.
The theorem is a statement in number theory. The proof of this proposition, which was years in coming, relied on ideas from two distant branches of mathematics: modular forms and the study of rational points on elliptic curves.
Frenkel E. Love and Math: the Heart of Hidden Reality
I will not try to define those terms here, but Frenkel most certainly does make the attempt. He is never content merely to report what he sees from the mountaintops of mathematics; he wants you to climb up there with him and have a look around for yourself.
I admire this intrepid approach, but I also worry that some readers will not be prepared for the rigors of the journey. In his preface Frenkel writes: Mathematics directs the flow of the universe, lurks behind its shapes and curves, holds the reins of everything from tiny atoms to the biggest stars.
This book is an invitation to this rich and dazzling world. I wrote it for readers without any background in mathematics.In that way, Frenkel got hooked on math.
He'll even explain what SU3 means in the standard model by analogy with constructing SO3 spaces standard 3 dimensional ordinate systems.
This is by far one of the best books I've ever read. Likewise, if he had managed to keep the mathematics at a lower level he succeeds early in the book, but loses it later, in my opinion I would also give it a 5. A front cover reviewer says, "If you're not a mathematician, then this book might make you want to become one. All with a very "how do we apply this?
Behind our current different branches of abstract math there exist an ultimate theory that ties each branch together.
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