Mage Merlin S Unsolved Mathematical Mysteries

Author : Satyan Devadoss,Matthew Harvey
Publisher : MIT Press
Page : 117 pages
File Size : 40,9 Mb
Release : 2021-08-24
Category : Mathematics
ISBN : 9780262542753

Get Book

Mage Merlin's Unsolved Mathematical Mysteries by Satyan Devadoss,Matthew Harvey Pdf

Sixteen of today's greatest unsolved mathematical puzzles in a story-driven, illustrated volume that invites readers to peek over the edge of the unknown. Most people think of mathematics as a set of useful tools designed to answer analytical questions, beginning with simple arithmetic and ending with advanced calculus. But, as Mage Merlin's Unsolved Mathematical Mysteries shows, mathematics is filled with intriguing mysteries that take us to the edge of the unknown. This richly illustrated, story-driven volume presents sixteen of today's greatest unsolved mathematical puzzles, all understandable by anyone with elementary math skills. These intriguing mysteries are presented to readers as puzzles that have time-traveled from Camelot, preserved in the notebook of Merlin, the wise magician in King Arthur's court. Our guide is Mage Maryam (named in honor of the brilliant young mathematician, the late Maryam Mirzakhani), a distant descendant of Merlin. Maryam introduces the mysteries--each of which is presented across two beautifully illustrated pages--and provides mathematical and historical context afterward. We find Merlin confronting mathematical puzzles involving tinker toys (a present for Camelot's princesses from the sorceress Morgana), cake-slicing at a festival, Lancelot's labyrinth, a vault for the Holy Grail, and more. Each mystery is a sword awaiting removal from its stone, capturing the beauty and power of mathematics.

Author : Dragan Radulović
Publisher : Cambridge University Press
Page : 167 pages
File Size : 42,5 Mb
Release : 2023-04-30
Category : Mathematics
ISBN : 9781009063043

Get Book

Why Does Math Work ... If It's Not Real? by Dragan Radulović Pdf

According to G. H. Hardy, the 'real' mathematics of the greats like Fermat and Euler is 'useless,' and thus the work of mathematicians should not be judged on its applicability to real-world problems. Yet, mysteriously, much of mathematics used in modern science and technology was derived from this 'useless' mathematics. Mobile phone technology is based on trig functions, which were invented centuries ago. Newton observed that the Earth's orbit is an ellipse, a curve discovered by ancient Greeks in their futile attempt to double the cube. It is like some magic hand had guided the ancient mathematicians so their formulas were perfectly fitted for the sophisticated technology of today. Using anecdotes and witty storytelling, this book explores that mystery. Through a series of fascinating stories of mathematical effectiveness, including Planck's discovery of quanta, mathematically curious readers will get a sense of how mathematicians develop their concepts.

Author : Calvin C. Clawson
Publisher : Springer
Page : 322 pages
File Size : 45,8 Mb
Release : 2013-11-09
Category : Mathematics
ISBN : 9781489960801

Get Book

Mathematical Mysteries by Calvin C. Clawson Pdf

A meditation on the beauty and meaning of numbers, exploring mathematical equations, describing some of the mathematical discoveries of the past millennia, and pondering philosophical questions about the relation of numbers to the universe.

Author : Keith Devlin
Publisher : Basic Books
Page : 260 pages
File Size : 45,6 Mb
Release : 2003-10-16
Category : Science
ISBN : 0465017304

Get Book

The Millennium Problems by Keith Devlin Pdf

In 2000, the Clay Foundation announced a historic competition: whoever could solve any of seven extraordinarily difficult mathematical problems, and have the solution acknowledged as correct by the experts, would receive 1 million in prize money. There was some precedent for doing this: In 1900 the mathematician David Hilbert proposed twenty-three problems that set much of the agenda for mathematics in the twentieth century. The Millennium Problems--chosen by a committee of the leading mathematicians in the world--are likely to acquire similar stature, and their solution (or lack of it) is likely to play a strong role in determining the course of mathematics in the twenty-first century. Keith Devlin, renowned expositor of mathematics and one of the authors of the Clay Institute's official description of the problems, here provides the definitive account for the mathematically interested reader.

Author : Alex Berke
Publisher : MIT Press
Page : 165 pages
File Size : 52,8 Mb
Release : 2020-02-18
Category : Mathematics
ISBN : 9780262538923

Get Book

Beautiful Symmetry by Alex Berke Pdf

A coloring book that invites readers to explore symmetry and the beauty of math visually. Beautiful Symmetry is a coloring book about math, inviting us to engage with mathematical concepts visually through coloring challenges and visual puzzles. We can explore symmetry and the beauty of mathematics playfully, coloring through ideas usually reserved for advanced courses. The book is for children and adults, for math nerds and math avoiders, for educators, students, and coloring enthusiasts. Through illustration, language that is visual, and words that are jargon-free, the book introduces group theory as the mathematical foundation for discussions of symmetry, covering symmetry groups that include the cyclic groups, frieze groups, and wallpaper groups. The illustrations are drawn by algorithms, following the symmetry rules for each given group. The coloring challenges can be completed and fully realized only on the page; solutions are provided. Online, in a complementary digital edition, the illustrations come to life with animated interactions that show the symmetries that generated them. Traditional math curricula focus on arithmetic and the manipulation of numbers, and may make some learners feel that math is not for them. By offering a more visual and tactile approach, this book shows how math can be for everyone. Combining the playful and the pedagogical, Beautiful Symmetry offers both relaxing entertainment for recreational colorers and a resource for math-curious readers, students, and educators.

Author : Gabriele Lolli
Publisher : MIT Press
Page : 177 pages
File Size : 40,7 Mb
Release : 2022-09-27
Category : Mathematics
ISBN : 9780262371049

Get Book

The Meaning of Proofs by Gabriele Lolli Pdf

Why mathematics is not merely formulaic: an argument that to write a mathematical proof is tantamount to inventing a story. In The Meaning of Proofs, mathematician Gabriele Lolli argues that to write a mathematical proof is tantamount to inventing a story. Lolli offers not instructions for how to write mathematical proofs, but a philosophical and poetic reflection on mathematical proofs as narrative. Mathematics, imprisoned within its symbols and images, Lolli writes, says nothing if its meaning is not narrated in a story. The minute mathematicians open their mouths to explain something—the meaning of x, how to find y—they are framing a narrative. Every proof is the story of an adventure, writes Lolli, a journey into an unknown land to open a new, connected route; once the road is open, we correct it, expand it. Just as fairy tales offer a narrative structure in which new characters can be inserted into recurring forms of the genre in original ways, in mathematics, each new abstract concept is the protagonist of a different theory supported by the general techniques of mathematical reasoning. In ancient Greece, there was more than an analogy between literature and mathematics, there was direct influence. Euclid’s proofs have roots in poetry and rhetoric. Mathematics, Lolli asserts, is not the mere manipulation of formulas.

Author : Matt Cook
Publisher : MIT Press
Page : 369 pages
File Size : 48,8 Mb
Release : 2021-08-03
Category : Mathematics
ISBN : 9780262542296

Get Book

Sleight of Mind by Matt Cook Pdf

This “fun, brain-twisting book . . . will make you think” as it explores more than 75 paradoxes in mathematics, philosophy, physics, and the social sciences (Sean Carroll, New York Times–bestselling author of Something Deeply Hidden). Paradox is a sophisticated kind of magic trick. A magician’s purpose is to create the appearance of impossibility, to pull a rabbit from an empty hat. Yet paradox doesn’t require tangibles, like rabbits or hats. Paradox works in the abstract, with words and concepts and symbols, to create the illusion of contradiction. There are no contradictions in reality, but there can appear to be. In Sleight of Mind, Matt Cook and a few collaborators dive deeply into more than 75 paradoxes in mathematics, physics, philosophy, and the social sciences. As each paradox is discussed and resolved, Cook helps readers discover the meaning of knowledge and the proper formation of concepts—and how reason can dispel the illusion of contradiction. The journey begins with “a most ingenious paradox” from Gilbert and Sullivan’s Pirates of Penzance. Readers will then travel from Ancient Greece to cutting-edge laboratories, encounter infinity and its different sizes, and discover mathematical impossibilities inherent in elections. They will tackle conundrums in probability, induction, geometry, and game theory; perform “supertasks”; build apparent perpetual motion machines; meet twins living in different millennia; explore the strange quantum world—and much more.

Author : Daniel Rosiak
Publisher : MIT Press
Page : 454 pages
File Size : 43,7 Mb
Release : 2022-10-25
Category : Mathematics
ISBN : 9780262362375

Get Book

Sheaf Theory through Examples by Daniel Rosiak Pdf

An approachable introduction to elementary sheaf theory and its applications beyond pure math. Sheaves are mathematical constructions concerned with passages from local properties to global ones. They have played a fundamental role in the development of many areas of modern mathematics, yet the broad conceptual power of sheaf theory and its wide applicability to areas beyond pure math have only recently begun to be appreciated. Taking an applied category theory perspective, Sheaf Theory through Examples provides an approachable introduction to elementary sheaf theory and examines applications including n-colorings of graphs, satellite data, chess problems, Bayesian networks, self-similar groups, musical performance, complexes, and much more. With an emphasis on developing the theory via a wealth of well-motivated and vividly illustrated examples, Sheaf Theory through Examples supplements the formal development of concepts with philosophical reflections on topology, category theory, and sheaf theory, alongside a selection of advanced topics and examples that illustrate ideas like cellular sheaf cohomology, toposes, and geometric morphisms. Sheaf Theory through Examples seeks to bridge the powerful results of sheaf theory as used by mathematicians and real-world applications, while also supplementing the technical matters with a unique philosophical perspective attuned to the broader development of ideas.

Author : Jacob Klein
Publisher : Courier Corporation
Page : 246 pages
File Size : 50,5 Mb
Release : 2013-04-22
Category : Mathematics
ISBN : 9780486319810

Get Book

Greek Mathematical Thought and the Origin of Algebra by Jacob Klein Pdf

Important study focuses on the revival and assimilation of ancient Greek mathematics in the 13th-16th centuries, via Arabic science, and the 16th-century development of symbolic algebra. 1968 edition. Bibliography.

Author : Ulrich Libbrecht
Publisher : Courier Corporation
Page : 594 pages
File Size : 53,5 Mb
Release : 2005-01-01
Category : Mathematics
ISBN : 9780486446196

Get Book

Chinese Mathematics in the Thirteenth Century by Ulrich Libbrecht Pdf

An exploration of the life and work of the thirteenth-century mathematician Ch'in, this fascinating book examines a range of mathematical issues that reflect Chinese life of a millennium ago. Its first part consists of four closely related studies of Ch'in and his work. The first study brings together what is known of the mathematician's life and of the history of his only extant work, the Shu-shu chiu-chang. Subsequent studies examine the entire range of mathematical techniques and problems found within Ch'in's book. The core of this book consists of an in-depth study of what modern mathematicians still refer to as the Chinese remainder theorem for the solution of indeterminate equations of the first degree. This was Ch'in's most original contribution to mathematics--so original that no one could correctly explain Ch'in's procedure until the early nineteenth century. This volume's concluding study unites information on artisanal, economic, administrative, and military affairs dispersed throughout Ch'in's writings, providing rare insights into thirteenth-century China.

Author : Makoto Fujimura
Publisher : Yale University Press
Page : 184 pages
File Size : 51,7 Mb
Release : 2021-01-05
Category : Religion
ISBN : 9780300255935

Get Book

Art and Faith by Makoto Fujimura Pdf

From a world-renowned painter, an exploration of creativity’s quintessential—and often overlooked—role in the spiritual life “Makoto Fujimura’s art and writings have been a true inspiration to me. In this luminous book, he addresses the question of art and faith and their reconciliation with a quiet and moving eloquence.”—Martin Scorsese “[An] elegant treatise . . . Fujimura’s sensitive, evocative theology will appeal to believers interested in the role religion can play in the creation of art.”—Publishers Weekly Conceived over thirty years of painting and creating in his studio, this book is Makoto Fujimura’s broad and deep exploration of creativity and the spiritual aspects of “making.” What he does in the studio is theological work as much as it is aesthetic work. In between pouring precious, pulverized minerals onto handmade paper to create the prismatic, refractive surfaces of his art, he comes into the quiet space in the studio, in a discipline of awareness, waiting, prayer, and praise. Ranging from the Bible to T. S. Eliot, and from Mark Rothko to Japanese Kintsugi technique, he shows how unless we are making something, we cannot know the depth of God’s being and God’s grace permeating our lives. This poignant and beautiful book offers the perspective of, in Christian Wiman’s words, “an accidental theologian,” one who comes to spiritual questions always through the prism of art.

Author : Joel David Hamkins
Publisher : MIT Press
Page : 350 pages
File Size : 54,8 Mb
Release : 2021-02-02
Category : Mathematics
ISBN : 9780262362658

Get Book

Lectures on the Philosophy of Mathematics by Joel David Hamkins Pdf

An introduction to the philosophy of mathematics grounded in mathematics and motivated by mathematical inquiry and practice. In this book, Joel David Hamkins offers an introduction to the philosophy of mathematics that is grounded in mathematics and motivated by mathematical inquiry and practice. He treats philosophical issues as they arise organically in mathematics, discussing such topics as platonism, realism, logicism, structuralism, formalism, infinity, and intuitionism in mathematical contexts. He organizes the book by mathematical themes--numbers, rigor, geometry, proof, computability, incompleteness, and set theory--that give rise again and again to philosophical considerations.

Author : Nicolas Rashevsky
Publisher : MIT Press (MA)
Page : 232 pages
File Size : 45,9 Mb
Release : 1968
Category : Mathematics
ISBN : WISC:89048106827

Get Book

Looking at History Through Mathematics by Nicolas Rashevsky Pdf

Author : Jonas Peters,Nicolai Meinshausen
Publisher : MIT Press
Page : 193 pages
File Size : 47,9 Mb
Release : 2021-02-02
Category : Mathematics
ISBN : 9780262362689

Get Book

The Raven's Hat by Jonas Peters,Nicolai Meinshausen Pdf

Games that show how mathematics can solve the apparently unsolvable. This book presents a series of engaging games that seem unsolvable--but can be solved when they are translated into mathematical terms. How can players find their ID cards when the cards are distributed randomly among twenty boxes? By applying the theory of permutations. How can a player guess the color of her own hat when she can only see other players' hats? Hamming codes, which are used in communication technologies. Like magic, mathematics solves the apparently unsolvable. The games allow readers, including university students or anyone with high school-level math, to experience the joy of mathematical discovery.

Author : Makoto Fujimura
Publisher : InterVarsity Press
Page : 165 pages
File Size : 41,6 Mb
Release : 2017-01-14
Category : Religion
ISBN : 9780830891115

Get Book

Culture Care by Makoto Fujimura Pdf

Outreach Magazine Resource of the Year Christianity Today's Book of the Year Award of Merit "Culture is not a territory to be won or lost but a resource we are called to steward with care. Culture is a garden to be cultivated." Many bemoan the decay of culture. But we all have a responsibility to care for culture, to nurture it in ways that help people thrive. In Culture Care artist Makoto Fujimura issues a call to cultural stewardship, in which we become generative and feed our culture's soul with beauty, creativity, and generosity. We serve others as cultural custodians of the future. This is a book for artists, but artists come in many forms. Anyone with a calling to create—from visual artists, musicians, writers, and actors to entrepreneurs, pastors, and business professionals—will resonate with its message. This book is for anyone with a desire or an artistic gift to reach across boundaries with understanding, reconciliation, and healing. It is a book for anyone with a passion for the arts, for supporters of the arts, and for "creative catalysts" who understand how much the culture we all share affects human thriving today and shapes the generations to come. Culture Care includes a study guide for individual reflection or group discussion.