Here are 100 books that Fantasia Mathematica fans have personally recommended if you like
Fantasia Mathematica.
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As a full professor of mathematics for over 30 years, I have been engaged in research and teaching. Research can be difficult to describe to non-experts, but some important advances in mathematics can be explained to an interested public without the need for specialist knowledge, as I have done.
Frenkel came from the Soviet Union, where discrimination against Jews made it impossible for him to get into Moscow State University. During the oral exam they sent two graduate students to question him, pick holes in his responses, and ensure he failed. He turned to an informal network of Soviet mathematicians for help.
Like him, they were denied serious employment in the field, but after the 'cold war' against the Soviet Union, Harvard invited him to take a fellowship that later turned into a permanent job. Years later, when his old tormentor from Moscow State arrives to give a talk, he confronts the man in a lecture room with first-hand evidence of allegations against the system. Faced with a victim, the Russian mathematician's denials rang hollow.
This book reaches beyond mathematics to anyone of independent thought in an environment where it is not permitted to step out of line or,…
A New York Times Science BestsellerWhat 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, weren't 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 we've never seen, suffused with all the beauty and elegance of a work of art. In this heartfelt and passionate book, Frenkel…
It is April 1st, 2038. Day 60 of China's blockade of the rebel island of Taiwan.
The US government has agreed to provide Taiwan with a weapons system so advanced that it can disrupt the balance of power in the region. But what pilot would be crazy enough to run…
As a full professor of mathematics for over 30 years, I have been engaged in research and teaching. Research can be difficult to describe to non-experts, but some important advances in mathematics can be explained to an interested public without the need for specialist knowledge, as I have done.
It provides an engaging description of the work that went into proving a famous result, first mentioned by the French mathematician Pierre de Fermat in the margin of a book.
The question was whether a sum of two nth powers of whole numbers could be the nth power of a whole number. It is certainly true for n = 2 but was not known for any n greater than 2. Fermat thought he had a proof that this was the case but later wrote proofs when n was 3 or 4, so his earlier claim was not taken seriously.
The general result turned out to be much harder than anyone imagined, and 350 years later, its truth was implied by another conjecture that was finally proved by Andrew Wiles, as this book explains. I admire the fact that the author distills some essential points from what turned out to be…
'I have a truly marvellous demonstration of this proposition which this margin is too narrow to contain.'
It was with these words, written in the 1630s, that Pierre de Fermat intrigued and infuriated the mathematics community. For over 350 years, proving Fermat's Last Theorem was the most notorious unsolved mathematical problem, a puzzle whose basics most children could grasp but whose solution eluded the greatest minds in the world. In 1993, after years of secret toil, Englishman Andrew Wiles announced to an astounded audience that he had cracked Fermat's Last Theorem. He had no idea of the nightmare that lay…
As a full professor of mathematics for over 30 years, I have been engaged in research and teaching. Research can be difficult to describe to non-experts, but some important advances in mathematics can be explained to an interested public without the need for specialist knowledge, as I have done.
This book presents excerpts from original contributions to mathematics by scholars of the past. It includes principal developments from Neolithic times, from Mesopotamia, and from the ancient Greeks, right up to the modern world.
The extensive and well-chosen quotations make this a unique book. I found the excerpts from original sources rendered it a mine of valuable information for me or anyone else interested in the long history of mathematics.
In 1922 Barnes Wallis, who later invented the bouncing bomb immortalized in the movie The Dam Busters, fell in love for the first and last time, aged 35. The object of his affection, Molly Bloxam, was 17 and setting off to study science at University College London. Her father decreed that the two could correspond only if Barnes taught Molly mathematics in his letters.
Mathematics with Love presents, for the first time, the result of this curious dictat: a series of witty, tender and totally accessible introductions to calculus, trigonometry and electrostatic induction that remarkably, wooed and won the girl.…
A Duke with rigid opinions, a Lady whose beliefs conflict with his, a long disputed parcel of land, a conniving neighbour, a desperate collaboration, a failure of trust, a love found despite it all.
Alexander Cavendish, Duke of Ravensworth, returned from war to find that his father and brother had…
As a full professor of mathematics for over 30 years, I have been engaged in research and teaching. Research can be difficult to describe to non-experts, but some important advances in mathematics can be explained to an interested public without the need for specialist knowledge, as I have done.
Hermann Weyl was one of the most influential mathematicians in the twentieth century. Born in North Germany, he worked for many years in Zürich and later moved to the Institute of Advanced Study in Princeton.
He was a colleague of Einstein in both places, and his book on Symmetry is a classic. This slim volume was a stimulus to me when I wrote my book.
Symmetry is a classic study of symmetry in mathematics, the sciences, nature, and art from one of the twentieth century's greatest mathematicians. Hermann Weyl explores the concept of symmetry beginning with the idea that it represents a harmony of proportions, and gradually departs to examine its more abstract varieties and manifestations--as bilateral, translatory, rotational, ornamental, and crystallographic. Weyl investigates the general abstract mathematical idea underlying all these special forms, using a wealth of illustrations as support. Symmetry is a work of seminal relevance that explores the great variety of applications and importance of symmetry.
I experienced being a parent as a return to my own childhood. As much as I enjoyed teaching my children, I loved learning from them as well. That got me thinking about how one might recapture the joys and insights of childhood. As a philosopher interested in education, I have long wondered whether we leave childhood behind or somehow carry it with us into old age. I discovered that several important philosophers, such as Aristotle, Augustine, and Rousseau have keen insights about the relation of childhood to adulthood. And the biblical Jesus seems to have been the first person to suggest that adults can learn from children.
What if children are not little adults but a different species? Perhaps children are butterflies who develop into caterpillars? Child psychologist Allision Gopnik asks wonderful questions about human development. She notes that most of us produce our best art and ask our deepest questions (“Why is the sky blue?”) as small children.
Childhood, she says, is our time of basic research; adulthood is the time for practical applications. Like Jean-Jacques Rousseau, she celebrates the unique gifts of childhood, but she does not offer suggestions about how we might recapture those gifts.
In the last decade there has been a revolution in our understanding of the minds of infants and young children. We used to believe that babies were irrational, and that their thinking and experience were limited. Now Alison Gopnik ― a leading psychologist and philosopher, as well as a mother ― explains the cutting-edge scientific and psychological research that has revealed that babies learn more, create more, care more, and experience more than we could ever have imagined. And there is good reason to believe that babies are actually smarter, more thoughtful, and more conscious than adults. In a lively…
I have devoted my entire career to mathematics, and have a life filled with meaning and purpose through my roles as an educator, researcher, and consultant. I teach at the Vancouver campus of Northeastern University and am the owner and principal of Hoshino Math Services, a boutique math consulting firm.
For decades, the most famous opening chord in rock and roll was an unsolved problem, since no one could reproduce it. But in 2004, Jason Brown, a professor at Dalhousie University, used mathematics to recreate the opening chord of the Beatles hit song, “A Hard Day’s Night”. I remember when newspapers around the world reported on Jason’s findings, as I was at Dalhousie at the time, as one of Jason’s Ph.D. students.
Jason’s Beatles story serves as the final chapter in this wonderful book, a collection of short vignettes about how mathematics relates to every aspect of our lives, including garbage pickup routes, grocery shopping, political polling, and social networks. The book’s thesis is that as we understand mathematics better, our lives become more meaningful. I couldn’t agree more.
A revealing and entertaining look at the world, as viewed through mathematical eyeglasses.
From the moment our feet touch the floor in the morning until our head hits the pillow, numbers are everywhere. And yet most of us go through each day unaware of the mathematics that shapes our lives.
In fact, many people go through life fearing and avoiding mathematics, making choices that keep it at arm’s length or further. Even basic math — like arithmetic — can seem baffling.
In Our Days Are Numbered, Jason Brown leads the reader through a typical day, on a fascinating journey. He…
The Duke's Christmas Redemption
by
Arietta Richmond,
A Duke who has rejected love, a Lady who dreams of a love match, an arranged marriage, a house full of secrets, a most unneighborly neighbor, a plot to destroy reputations, an unexpected love that redeems it all.
Lady Charlotte Wyndham, given in an arranged marriage to a man she…
I've been teaching math and physics for more than 20 years as a private tutor. During this time, I experimented with different ways to explain concepts to make them easy to understand. I'm a big fan of using concept maps to show the connections between concepts and teaching topics in an integrated manner, including prerequisites and applications. While researching the material for my book, I read dozens of linear algebra textbooks and watched hundreds of videos, looking for the best ways to explain complicated concepts intuitively. I've tried to distill the essential ideas of linear algebra in my book and prepared this list to highlight the books I learned from.
In my opinion, Prof. Axler's book is the best way to learn the formal proofs of linear algebra theorems.
My undergraduate studies were in engineering, so I never learned the proofs. This is why I chose this book to solidify my understanding of the material; it didn't disappoint! Already, in the first few chapters, I learned new things about concepts that I thought I understood.
The book contains numerous exercises which were essential for the learning process. I went through the exercises with a group of friends, which helped me stay motivated. It wasn't easy, but all the time I invested in the proofs was rewarded by a solid understanding of the material.
I highly recommend this book as a second book on linear algebra.
This best-selling textbook for a second course in linear algebra is aimed at undergrad math majors and graduate students. The novel approach taken here banishes determinants to the end of the book. The text focuses on the central goal of linear algebra: understanding the structure of linear operators on finite-dimensional vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra.
The third edition contains major improvements and revisions throughout the book. More than 300 new exercises have…
I hate nothing more than feeling uncertain about my views on an important topic. That’s why I cherish tools for thought that help me cut through the various confusions to which humans are prone. The sharpest tool we’ve got is modern symbolic logic, as it has been developed since the late 19th century. I’ve loved symbolic logic since I took my first logic class in college. I’ve been teaching Intro Logic for over twenty years at Princeton University, and I’ve published several papers and books that employ logic to try to gain clarity on philosophical issues.
This is a mathematics textbook unlike any other you have encountered before. Remarkably, there are no numbers—only structures, patterns, and arrows.
However, this book is not designed to teach you how to construct proofs. Instead, it offers a fascinating introduction to a new way of thinking mathematically.
In the last 60 years, the use of the notion of category has led to a remarkable unification and simplification of mathematics. Conceptual Mathematics introduces this tool for the learning, development, and use of mathematics, to beginning students and also to practising mathematical scientists. This book provides a skeleton key that makes explicit some concepts and procedures that are common to all branches of pure and applied mathematics. The treatment does not presuppose knowledge of specific fields, but rather develops, from basic definitions, such elementary categories as discrete dynamical systems and directed graphs; the fundamental ideas are then illuminated by…
I'm a British writer, (though I now live and work in California) and a Stanford professor who is passionate about helping everyone know they have endless potential and that math is a subject of creativity, connections, and beautiful ideas. I spend time battling against math elitism, systemic racism, and the other barriers that have stopped women and people of color from going forward in STEM. I am the cofounder of youcubed, a site that inspires millions of educators and their students, with creative mathematics and mindset messages. I've also made a math app, designed to help students feel good about struggling, called Struggly.com. I love to write books that help people develop their mathematical superpowers!
This is a beautiful book filled with glossy color photos, that would be a lovely gift for any girl or woman interested in mathematics, or really, any human.
Inside the book are the “rebel women” who have specialized in mathematics (and yes it seems you still need to be a rebel to succeed in this male-dominated field). I learned so much about the mathematics the women studied and created, as well as the ways they battled for recognition to be able to contribute to mathematics.
The book is filled with powerful and creative mathematics produced by inspirational women.
From rocket scientists to code breakers, discover the incredibly inspiring stories of more than 30 women who fought through the obstacles, shattered the stereotypes, and embraced their STEM passions.
Prepare to be inspired. With more than 200 photos and original interviews with several of the amazing women covered, Power in Numbers: The Rebel Women of Mathematics is a full-color volume that takes aim at the forgotten influence of women on the development of mathematics over the last two millennia.
Each biography reveals the amazing life of a different female mathematician, from her childhood and early influences, to the obstacles she…
This book follows the journey of a writer in search of wisdom as he narrates encounters with 12 distinguished American men over 80, including Paul Volcker, the former head of the Federal Reserve, and Denton Cooley, the world’s most famous heart surgeon.
In these and other intimate conversations, the book…
My name is Susan Marie Chapman and I am an award-winning Children’s Book Author. I have written over fourteen children’s books. I grew up on a farm surrounded by animals and nature and my seven sisters and brothers. Wow!! My goal is to get as many books into the hands of children that I possibly can. You see, reading books, especially picture books, is a way for a child to see the world through the pictures and words of a book. It creates imagination and excitement and fun and questions which lead to answers which makes you smarter. So read, read, read, until you run out of books, which will never happen.
What child isn’t curious about the night sky and all the stars that live up there? Did you know that the Sun is a giant star? This book is full of fun facts, not just about stars but about our planet. It helps to put things into perspective, so to speak. It talks about gravity and how many miles away the moon is from the earth. I think kids will learn a lot from reading this book and will even be able to impress their friends with all of their newly acquired knowledge. Did you know the earth looks green because it’s covered in 3,000,000,000,000 trees?? I love this book because learning new things is fun and this book is all about fun. I felt very smart after reading this book.
A Boston Globe–Horn Book Honor Book * Winner of the Mathical Book Prize
Perfect for curious children, classrooms eager for STEM content, and readers who have devoured Ada Twist, Scientist and How Much Is a Million?
Did you know that the earth is covered in three trillion trees? And that seven billion people weigh about the same as ten quadrillion ants? Our world is full of constantly changing numbers, from a hundred billion trillion stars in space to thirty-seven billion rabbits on Earth. Can you imagine that many of anything?
The playful illustrations from New York Times–bestselling artist Isabel Greenberg…
