fearless symmetry

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Fearless Symmetry

Author : Avner Ash
ISBN : 9781400837779
Genre : Mathematics
File Size : 31. 33 MB
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Mathematicians solve equations, or try to. But sometimes the solutions are not as interesting as the beautiful symmetric patterns that lead to them. Written in a friendly style for a general audience, Fearless Symmetry is the first popular math book to discuss these elegant and mysterious patterns and the ingenious techniques mathematicians use to uncover them. Hidden symmetries were first discovered nearly two hundred years ago by French mathematician évariste Galois. They have been used extensively in the oldest and largest branch of mathematics--number theory--for such diverse applications as acoustics, radar, and codes and ciphers. They have also been employed in the study of Fibonacci numbers and to attack well-known problems such as Fermat's Last Theorem, Pythagorean Triples, and the ever-elusive Riemann Hypothesis. Mathematicians are still devising techniques for teasing out these mysterious patterns, and their uses are limited only by the imagination. The first popular book to address representation theory and reciprocity laws, Fearless Symmetry focuses on how mathematicians solve equations and prove theorems. It discusses rules of math and why they are just as important as those in any games one might play. The book starts with basic properties of integers and permutations and reaches current research in number theory. Along the way, it takes delightful historical and philosophical digressions. Required reading for all math buffs, the book will appeal to anyone curious about popular mathematics and its myriad contributions to everyday life.

Fearless Symmetry

Author : David G. Hallett
ISBN : OCLC:954492242
Genre : Bible
File Size : 76. 89 MB
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Fearless Design For Every Quilter

Author : Lorraine Torrence
ISBN : 9781571209092
Genre : Crafts & Hobbies
File Size : 84. 80 MB
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Stock Up Your Creative Toolbox With Indispensable Quilt Design Techniques. Supercharge your creative spirit with 10 lessons in designing with fabrics-from basic design principles to finding new sources of inspiration. Take an artistic journey through the creative processes of 8 real-life quilters and learn with them as they work through a series of design challenges. Learn to experiment, evaluate results, and enhance your designs, working either by yourself or with a group. Use critique groups to improve your work with other quilters' insights. The lessons you'll learn in this inspiring workshop will help you bring new creativity to any style of quilting or fiber arts, whether your tastes are traditional or contemporary. It's a must for anyone who loves to design with fabric.

Death Posthumous Harm And Bioethics

Author : James Stacey Taylor
ISBN : 9781136257759
Genre : Philosophy
File Size : 59. 75 MB
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Death, Posthumous Harm, and Bioethics offers a highly distinctive and original approach to the metaphysics of death and applies this approach to contemporary debates in bioethics that address end-of-life and post-mortem issues. Taylor defends the controversial Epicurean view that death is not a harm to the person who dies and the neo-Epicurean thesis that persons cannot be affected by events that occur after their deaths, and hence that posthumous harms (and benefits) are impossible. He then extends this argument by asserting that the dead cannot be wronged, finally presenting a defence of revisionary views concerning posthumous organ procurement.

Simon

Author : Alexander Masters
ISBN : 9780345532213
Genre : Biography & Autobiography
File Size : 67. 8 MB
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Alexander Masters tripped over his first book subject on a Cambridge sidewalk, and the result was the multi-award-winning bestseller Stuart: A Life Backwards. His second, he’s found under his floorboards. One of the greatest mathematical prodigies of the twentieth century, Simon Norton stomps around Alexander’s basement in semidarkness, dodging between stalagmites of bus timetables and engorged plastic bags, eating tinned kippers stirred into packets of Bombay mix. Simon is exploring a theoretical puzzle so complex and critical to our understanding of the universe that it is known as the Monster. It looks like a sudoku table—except a sudoku table has nine columns of numbers. The Monster has 808017424794512875886459904961710757005754368000000000 columns. But that’s not the whole story. What’s inside the decaying sports bag he never lets out of his clutches? Why does he hurtle out of the house in the middle of the night? And—good God!—what is that noxious smell that creeps up the stairwell? Grumpy, poignant, comical—more intimate than either the author or his quarry intended—Simon: The Genius in My Basement is the story of a friendship and a pursuit. Part biography, part memoir, and part popular science, it is a study of the frailty of brilliance, the measures of happiness, and Britain’s most uncooperative egghead eccentric. From the Hardcover edition.

Invitation To The Mathematics Of Fermat Wiles

Author : Yves Hellegouarch
ISBN : 0080478778
Genre : Mathematics
File Size : 32. 95 MB
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Assuming only modest knowledge of undergraduate level math, Invitation to the Mathematics of Fermat-Wiles presents diverse concepts required to comprehend Wiles' extraordinary proof. Furthermore, it places these concepts in their historical context. This book can be used in introduction to mathematics theories courses and in special topics courses on Fermat's last theorem. It contains themes suitable for development by students as an introduction to personal research as well as numerous exercises and problems. However, the book will also appeal to the inquiring and mathematically informed reader intrigued by the unraveling of this fascinating puzzle. Rigorously presents the concepts required to understand Wiles' proof, assuming only modest undergraduate level math Sets the math in its historical context Contains several themes that could be further developed by student research and numerous exercises and problems Written by Yves Hellegouarch, who himself made an important contribution to the proof of Fermat's last theorem

Summing It Up

Author : Avner Ash
ISBN : 9780691178516
Genre : Mathematics
File Size : 89. 42 MB
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We use addition on a daily basis—yet how many of us stop to truly consider the enormous and remarkable ramifications of this mathematical activity? Summing It Up uses addition as a springboard to present a fascinating and accessible look at numbers and number theory, and how we apply beautiful numerical properties to answer math problems. Mathematicians Avner Ash and Robert Gross explore addition's most basic characteristics as well as the addition of squares and other powers before moving onward to infinite series, modular forms, and issues at the forefront of current mathematical research. Ash and Gross tailor their succinct and engaging investigations for math enthusiasts of all backgrounds. Employing college algebra, the first part of the book examines such questions as, can all positive numbers be written as a sum of four perfect squares? The second section of the book incorporates calculus and examines infinite series—long sums that can only be defined by the concept of limit, as in the example of 1+1/2+1/4+. . .=? With the help of some group theory and geometry, the third section ties together the first two parts of the book through a discussion of modular forms—the analytic functions on the upper half-plane of the complex numbers that have growth and transformation properties. Ash and Gross show how modular forms are indispensable in modern number theory, for example in the proof of Fermat's Last Theorem. Appropriate for numbers novices as well as college math majors, Summing It Up delves into mathematics that will enlighten anyone fascinated by numbers.

Elliptic Tales

Author : Avner Ash
ISBN : 9780691163505
Genre : Mathematics
File Size : 46. 69 MB
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Elliptic Tales describes the latest developments in number theory by looking at one of the most exciting unsolved problems in contemporary mathematics—the Birch and Swinnerton-Dyer Conjecture. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem. The key to the conjecture lies in elliptic curves, which may appear simple, but arise from some very deep—and often very mystifying—mathematical ideas. Using only basic algebra and calculus while presenting numerous eye-opening examples, Ash and Gross make these ideas accessible to general readers, and, in the process, venture to the very frontiers of modern mathematics.

Seed

Author :
ISBN : STANFORD:36105123026176
Genre : Science
File Size : 51. 16 MB
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New Scientist

Author :
ISBN : STANFORD:36105122124592
Genre : Science
File Size : 20. 69 MB
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