Random House New Releases - Mathematics - Geometryhttp://www.randomhouse.com/category/www.randomhouse.com2006-03-13T11:23:00-05:00Gateway to The Heavens by Karen L. Frenchwww.randomhouse.com<a href="http://www.randomhouse.com/catalog/display.pperl?isbn=9781780286815"><img align="right" src="http://www.randomhouse.com/catalog/catalog_cover.pperl?9781780286815" border="1"/></a><h3><a href="http://www.randomhouse.com/catalog/display.pperl?isbn=9781780286815">Gateway to The Heavens</a> How geometric shapes, patterns and symbols form our reality<br/><b>Written by</b> <a href="http://www.randomhouse.com/author/results.pperl?authorid=307249">Karen L. French</a></h3><b>Trade Paperback</b>, 240 pages | Watkins Publishing | Body, Mind & Spirit - Unexplained Phenomena; Religion - Religion & Science; Mathematics - Geometry - Non-Euclidean | <b>$19.95</b> | 978-1-78028-681-5 (1-78028-681-3)<p>Simple geometric shapes and symbols combine to make the universal, powerful, sacred model Karen French calls Gateway to the Heavens. In this book, French explains the meaning and purpose of these shapes, how they mold our reality and perception of it and how they have a direct bearing on what you are and why you are here. These shapes and symbols contain messages that have been consistently represented in religion, philosophy, mythology, mysticism, the arts and sciences. Their messages are built into our genetic make-up and we recogniZe them instinctively. <br><br>The book is divided up into 3 parts. Part 1 covers the properties of the basic geometric shapes and numbers. Part 2 describes how these, in turn, form layers of construction, creating principals that are fundamental to the purpose of the universe; the spiral sustains reality, the cross highlighting the central point of existence and the heart is where we weigh up our choices. Part 3 describes how we can use these principals to create positive change in our lives by helping us to expand our awareness of reality.</p><br clear="all">http://www.randomhouse.com/catalog/display.pperl?isbn=97817802868152014-05-20T00:30:00-05:00The Fractalist by Benoit Mandelbrotwww.randomhouse.com<a href="http://www.randomhouse.com/catalog/display.pperl?isbn=9780307378606"><img align="right" src="http://www.randomhouse.com/catalog/catalog_cover.pperl?9780307378606" border="1"/></a><h3><a href="http://www.randomhouse.com/catalog/display.pperl?isbn=9780307378606">The Fractalist</a> Memoir of a Scientific Maverick<br/><b>Written by</b> <a href="http://www.randomhouse.com/author/results.pperl?authorid=83832">Benoit Mandelbrot</a></h3><b>eBook</b>, 352 pages | Vintage | Biography & Autobiography - Science & Technology; Mathematics - History; Mathematics - Geometry - Non-Euclidean | <b>$11.99</b> | 978-0-307-37860-6 (0-307-37860-8)<p><p>A fascinating memoir from the man who revitalized visual geometry, and whose ideas about fractals have changed how we look at both the natural world and the financial world.<br><br>Benoit Mandelbrot, the creator of fractal geometry, has significantly improved our understanding of, among other things, financial variability and erratic physical phenomena. In <i>The Fractalist,</i> Mandelbrot recounts the high points of his life with exuberance and an eloquent fluency, deepening our understanding of the evolution of his extraordinary mind. We begin with his early years: born in Warsaw in 1924 to a Lithuanian Jewish family, Mandelbrot moved with his family to Paris in the 1930s, where he was mentored by an eminent mathematician uncle. During World War II, as he stayed barely one step ahead of the Nazis until France was liberated, he studied geometry on his own and dreamed of using it to solve fresh, real-world problems. We observe his unusually broad education in Europe, and later at Caltech, Princeton, and MIT. We learn about his thirty-five-year affiliation with IBM’s Thomas J. Watson Research Center and his association with Harvard and Yale. An outsider to mainstream scientific research, he managed to do what others had thought impossible: develop a new geometry that combines revelatory beauty with a radical way of unfolding formerly hidden laws governing utter roughness, turbulence, and chaos. <br><br>Here is a remarkable story of both the man’s life and his unparalleled contributions to science, mathematics, and the arts.</p></p><br clear="all">http://www.randomhouse.com/catalog/display.pperl?isbn=97803073786062012-10-30T00:30:00-05:00The Secrets of Triangles by Ingmar Lehmannwww.randomhouse.com<a href="http://www.randomhouse.com/catalog/display.pperl?isbn=9781616145880"><img align="right" src="http://www.randomhouse.com/catalog/catalog_cover.pperl?9781616145880" border="1"/></a><h3><a href="http://www.randomhouse.com/catalog/display.pperl?isbn=9781616145880">The Secrets of Triangles</a> A Mathematical Journey<br/><b>Written by</b> <a href="http://www.randomhouse.com/author/results.pperl?authorid=178310">Alfred S. Posamentier</a> and <a href="http://www.randomhouse.com/author/results.pperl?authorid=178311">Ingmar Lehmann</a></h3><b>eBook</b>0 | Prometheus Books | Mathematics - Geometry | <b>$12.99</b> | 978-1-61614-588-0 (1-61614-588-9)<p>Requiring no more than a knowledge of high school mathematics and written in clear and accessible language, this book will give all readers a new insight into some of the most enjoyable and fascinating aspects of geometry. Everyone knows what a triangle is, yet very few people appreciate that the common three-sided figure holds many intriguing "secrets." For example, if a circle is inscribed in any random triangle and then three lines are drawn from the three points of tangency to the opposite vertices of the triangle, these lines will always meet at a common point-no matter what the shape of the triangle. This and many more interesting geometrical properties are revealed in this entertaining and illuminating book about geometry. Flying in the face of the common impression that mathematics is usually dry and intimidating, this book proves that this sometimes-daunting, abstract discipline can be both fun and intellectually stimulating. The authors, two veteran math educators, explore the multitude of surprising relationships connected with triangles and show some clever approaches to constructing triangles using a straightedge and a compass. Readers will learn how they can improve their problem-solving skills by performing these triangle constructions. The lines, points, and circles related to triangles harbor countless surprising relationships that are presented here in a very engaging fashion.</p><br clear="all">http://www.randomhouse.com/catalog/display.pperl?isbn=97816161458802012-08-28T00:30:00-05:00The Secrets of Triangles by Ingmar Lehmannwww.randomhouse.com<a href="http://www.randomhouse.com/catalog/display.pperl?isbn=9781616145873"><img align="right" src="http://www.randomhouse.com/catalog/catalog_cover.pperl?9781616145873" border="1"/></a><h3><a href="http://www.randomhouse.com/catalog/display.pperl?isbn=9781616145873">The Secrets of Triangles</a> A Mathematical Journey<br/><b>Written by</b> <a href="http://www.randomhouse.com/author/results.pperl?authorid=178310">Alfred S. Posamentier</a> and <a href="http://www.randomhouse.com/author/results.pperl?authorid=178311">Ingmar Lehmann</a></h3><b>Hardcover</b>, 387 pages | Prometheus Books | Mathematics - Geometry | <b>$26.00</b> | 978-1-61614-587-3 (1-61614-587-0)<p>Everyone knows what a triangle is, yet very few people appreciate that the common three-sided figure holds many intriguing "secrets." For example, if a circle is inscribed in any random triangle and then three lines are drawn from the three points of tangency to the opposite vertices of the triangle, these lines will always meet at a common point - no matter what the shape of the triangle. This and many more interesting geometrical properties are revealed in this entertaining and illuminating book about geometry. Flying in the face of the common impression that mathematics is usually dry and intimidating, this book proves that this sometimes-daunting, abstract discipline can be both fun and intellectually stimulating. <br><br>The authors, two veteran math educators, explore the multitude of surprising relationships connected with triangles and show some clever approaches to constructing triangles using a straightedge and a compass. Readers will learn how they can improve their problem-solving skills by performing these triangle constructions. The lines, points, and circles related to triangles harbor countless surprising relationships that are presented here in a very engaging fashion.<br><br>Requiring no more than a knowledge of high school mathematics and written in clear and accessible language, this book will give all readers a new insight into some of the most enjoyable and fascinating aspects of geometry.</p><br clear="all">http://www.randomhouse.com/catalog/display.pperl?isbn=97816161458732012-08-24T00:30:00-05:00The Glorious Golden Ratio by Ingmar Lehmannwww.randomhouse.com<a href="http://www.randomhouse.com/catalog/display.pperl?isbn=9781616144241"><img align="right" src="http://www.randomhouse.com/catalog/catalog_cover.pperl?9781616144241" border="1"/></a><h3><a href="http://www.randomhouse.com/catalog/display.pperl?isbn=9781616144241">The Glorious Golden Ratio</a> <br/><b>Written by</b> <a href="http://www.randomhouse.com/author/results.pperl?authorid=178310">Alfred S. Posamentier</a> and <a href="http://www.randomhouse.com/author/results.pperl?authorid=178311">Ingmar Lehmann</a></h3><b>eBook</b>0 | Prometheus Books | Mathematics; Mathematics - Geometry | <b>$12.99</b> | 978-1-61614-424-1 (1-61614-424-6)<p>What exactly is the Golden Ratio? How was it discovered? Where is it found? These questions and more are thoroughly explained in this engaging tour of one of mathematics' most interesting phenomena. The authors  trace the appearance of the Golden Ratio throughout history, demonstrate a variety of ingenious techniques used to construct it, and illustrate the many surprising geometric figures in which the Golden Ratio is embedded. <br><br>Requiring no more than an elementary knowledge of geometry and algebra, the authors give readers a new appreciation of the indispensable qualities and inherent beauty of mathematics.<br><br><br><i>From the Hardcover edition.</i></p><br clear="all">http://www.randomhouse.com/catalog/display.pperl?isbn=97816161442412011-12-20T00:30:00-05:00The Glorious Golden Ratio by Ingmar Lehmannwww.randomhouse.com<a href="http://www.randomhouse.com/catalog/display.pperl?isbn=9781616144234"><img align="right" src="http://www.randomhouse.com/catalog/catalog_cover.pperl?9781616144234" border="1"/></a><h3><a href="http://www.randomhouse.com/catalog/display.pperl?isbn=9781616144234">The Glorious Golden Ratio</a> <br/><b>Written by</b> <a href="http://www.randomhouse.com/author/results.pperl?authorid=178310">Alfred S. Posamentier</a> and <a href="http://www.randomhouse.com/author/results.pperl?authorid=178311">Ingmar Lehmann</a></h3><b>Hardcover</b>, 363 pages | Prometheus Books | Mathematics; Mathematics - Geometry | <b>$27.00</b> | 978-1-61614-423-4 (1-61614-423-8)<p>What exactly is the Golden Ratio? How was it discovered? Where is it found? These questions and more are thoroughly explained in this engaging tour of one of mathematics' most interesting phenomena. The authors  trace the appearance of the Golden Ratio throughout history, demonstrate a variety of ingenious techniques used to construct it, and illustrate the many surprising geometric figures in which the Golden Ratio is embedded. <br><br>Requiring no more than an elementary knowledge of geometry and algebra, the authors give readers a new appreciation of the indispensable qualities and inherent beauty of mathematics.</p><br clear="all">http://www.randomhouse.com/catalog/display.pperl?isbn=97816161442342011-11-15T00:30:00-05:00The Pythagorean Theorem by Herbert A. Hauptmanwww.randomhouse.com<a href="http://www.randomhouse.com/catalog/display.pperl?isbn=9781616141813"><img align="right" src="http://www.randomhouse.com/catalog/catalog_cover.pperl?9781616141813" border="1"/></a><h3><a href="http://www.randomhouse.com/catalog/display.pperl?isbn=9781616141813">The Pythagorean Theorem</a> The Story of Its Power and Beauty<br/><b>Written by</b> <a href="http://www.randomhouse.com/author/results.pperl?authorid=178310">Alfred S. Posamentier</a><br> <b>Afterword by</b> <a href="http://www.randomhouse.com/author/results.pperl?authorid=180210">Herbert A. Hauptman</a></h3><b>Hardcover</b>, 320 pages | Prometheus Books | Mathematics - Geometry | <b>$27.00</b> | 978-1-61614-181-3 (1-61614-181-6)<p>The Pythagorean theorem may be the best-known equation in mathematics. Its origins reach back to the beginnings of civilization, and today every student continues to study it. What most nonmathematicians don't understand or appreciate is why this simply stated theorem has fascinated countless generations. In this entertaining and informative book, a veteran math educator makes the importance of the Pythagorean theorem delightfully clear.<br> <br>He begins with a brief history of Pythagoras and the early use of his theorem by the ancient Egyptians, Babylonians, Indians, and Chinese, who used it intuitively long before Pythagoras's name was attached to it. He then shows the many ingenious ways in which the theorem has been proved visually using highly imaginative diagrams. Some of these go back to ancient mathematicians; others are comparatively recent proofs, including one by the twentieth president of the United States, James A. Garfield. <br><br>After demonstrating some curious applications of the theorem, the author then explores the Pythagorean triples, pointing out the many hidden surprises of the three numbers that can represent the sides of the right triangle (e.g, 3, 4, 5 and 5, 12, 13). And many will truly amaze the reader. He then turns to the "Pythagorean means" (the arithmetic, geometric, and harmonic means). By comparing their magnitudes in a variety of ways, he gives the reader a true appreciation for these mathematical concepts. <br><br>The final two chapters view the Pythagorean theorem from an artistic point of view - namely, how Pythagoras's work manifests itself in music and how the Pythagorean theorem can influence fractals. <br><br>The author's lucid presentation and gift for conveying the significance of this key equation to those with little math background will inform, entertain, and inspire the reader, once again demonstrating the power and beauty of mathematics!</p><br clear="all">http://www.randomhouse.com/catalog/display.pperl?isbn=97816161418132010-06-22T00:30:00-05:00The Babylonian Theorem by Peter S. Rudmanwww.randomhouse.com<a href="http://www.randomhouse.com/catalog/display.pperl?isbn=9781591027737"><img align="right" src="http://www.randomhouse.com/catalog/catalog_cover.pperl?9781591027737" border="1"/></a><h3><a href="http://www.randomhouse.com/catalog/display.pperl?isbn=9781591027737">The Babylonian Theorem</a> The Mathematical Journey to Pythagoras and Euclid<br/><b>Written by</b> <a href="http://www.randomhouse.com/author/results.pperl?authorid=180291">Peter S. Rudman</a></h3><b>Hardcover</b>, 248 pages | Prometheus Books | Mathematics - History; Mathematics - Geometry - Algebraic | <b>$26.00</b> | 978-1-59102-773-7 (1-59102-773-X)<p>In this sequel to his award-winning How Mathematics Happened, physicist Peter S. Rudman explores the history of mathematics among the Babylonians and Egyptians, showing how their scribes in the era from 2000 to 1600 BCE used visualizations of how plane geometric figures could be partitioned into squares, rectangles, and right triangles to invent geometric algebra, even solving problems that we now do by quadratic algebra. Using illustrations adapted from both Babylonian cuneiform tablets and Egyptian hieroglyphic texts, Rudman traces the evolution of mathematics from the metric geometric algebra of Babylon and Egypt—which used numeric quantities on diagrams as a means to work out problems—to the nonmetric geometric algebra of Euclid (ca. 300 BCE). Thus, Rudman traces the evolution of calculations of square roots from Egypt and Babylon to India, and then to Pythagoras, Archimedes, and Ptolemy. Surprisingly, the best calculation was by a Babylonian scribe who calculated the square root of two to seven decimal-digit precision. Rudman provocatively asks, and then interestingly conjectures, why such a precise calculation was made in a mud-brick culture. From his analysis of Babylonian geometric algebra, Rudman formulates a "Babylonian Theorem", which he shows was used to derive the Pythagorean Theorem, about a millennium before its purported discovery by Pythagoras.<br>He also concludes that what enabled the Greek mathematicians to surpass their predecessors was the insertion of alphabetic notation onto geometric figures. Such symbolic notation was natural for users of an alphabetic language, but was impossible for the Babylonians and Egyptians, whose writing systems (cuneiform and hieroglyphics, respectively) were not alphabetic. Rudman intersperses his discussions of early math conundrums and solutions with "Fun Questions" for those who enjoy recreational math and wish to test their understanding. The Babylonian Theorem is a masterful, fascinating, and entertaining book, which will interest both math enthusiasts and students of history.</p><br clear="all">http://www.randomhouse.com/catalog/display.pperl?isbn=97815910277372010-01-26T00:30:00-05:00The Fabulous Fibonacci Numbers by Ingmar Lehmannwww.randomhouse.com<a href="http://www.randomhouse.com/catalog/display.pperl?isbn=9781591024750"><img align="right" src="http://www.randomhouse.com/catalog/catalog_cover.pperl?9781591024750" border="1"/></a><h3><a href="http://www.randomhouse.com/catalog/display.pperl?isbn=9781591024750">The Fabulous Fibonacci Numbers</a> <br/><b>Written by</b> <a href="http://www.randomhouse.com/author/results.pperl?authorid=178310">Alfred S. Posamentier</a> and <a href="http://www.randomhouse.com/author/results.pperl?authorid=178311">Ingmar Lehmann</a></h3><b>Hardcover</b>, 364 pages | Prometheus Books | Mathematics - Algebra; Mathematics - Number Theory; Mathematics - Geometry - Algebraic | <b>$28.99</b> | 978-1-59102-475-0 (1-59102-475-7)<p>The most ubiquitous, and perhaps the most intriguing, number pattern in mathematics is the Fibonacci sequence. In this simple pattern beginning with two ones, each succeeding number is the sum of the two numbers immediately preceding it (1, 1, 2, 3, 5, 8, 13, 21, ad infinitum). Far from being just a curiosity, this sequence recurs in structures found throughout nature - from the arrangement of whorls on a pinecone to the branches of certain plant stems. All of which is astounding evidence for the deep mathematical basis of the natural world. <br><br>With admirable clarity, two veteran math educators take us on a fascinating tour of the many ramifications of the Fibonacci numbers. They begin with a brief history of a distinguished Italian discoverer, who, among other accomplishments, was responsible for popularizing the use of Arabic numerals in the West. Turning to botany, the authors demonstrate, through illustrative diagrams, the unbelievable connections between Fibonacci numbers and natural forms (pineapples, sunflowers, and daisies are just a few examples). <br><br>In art, architecture, the stock market, and other areas of society and culture, they point out numerous examples of the Fibonacci sequence as well as its derivative, the "golden ratio." And of course in mathematics, as the authors amply demonstrate, there are almost boundless applications in probability, number theory, geometry, algebra, and Pascal's triangle, to name a few.<br><br>Accessible and appealing to even the most math-phobic individual, this fun and enlightening book allows the reader to appreciate the elegance of mathematics and its amazing applications in both natural and cultural settings.</p><br clear="all">http://www.randomhouse.com/catalog/display.pperl?isbn=97815910247502007-05-30T00:30:00-05:00Flatland by Edwin Abbott Abbottwww.randomhouse.com<a href="http://www.randomhouse.com/catalog/display.pperl?isbn=9781591022961"><img align="right" src="http://www.randomhouse.com/catalog/catalog_cover.pperl?9781591022961" border="1"/></a><h3><a href="http://www.randomhouse.com/catalog/display.pperl?isbn=9781591022961">Flatland</a> A Romance Of Many Dimensions<br/><b>Written by</b> <a href="http://www.randomhouse.com/author/results.pperl?authorid=180199">Edwin Abbott Abbott</a></h3><b>Trade Paperback</b>, 130 pages | Prometheus Books | Mathematics - Geometry; Science - Relativity | <b>$13.99</b> | 978-1-59102-296-1 (1-59102-296-7)<p>This highly original and entertaining short novel (which has been in print continually since its original publication in 1884) tells the story of A. Square, an inhabitant of the two-dimensional world Flatland. After an overview of Flatland society in all its aspects, A. Square recounts how he was led on a series of visions and travels to Pointland, Lineland, and Spaceland by A. Sphere on the last day of Flatland’s year 1999. Through his encounters with these other lands, A. Square realizes that there is indeed more to the universe than the world he lives in. A. Sphere opens A. Square’s mind to new possibilities, illuminating the path to knowledge through careful observation and commonsense experimentation. But when A. Square can be contented no longer with what he has already seen, he dreams of visiting a land of four dimensions, the so-called Thoughtland. As in real life, such desires are met with sometimes-violent opposition from society’s leaders in the name of maintaining the status quo.<br><br>Victorian clergyman and Shakespearean scholar Edwin Abbott penned this mathematical allegory about the dawn of reason seemingly in response to the puritanical environment of his era. Touching on themes of humanity’s insatiable quest for truth, authority’s tendency to squash radical ideas born from this quest, and the necessity of curiosity, <i>Flatland</i> is an odd and charming little book whose impact far surpasses its concise prose.</p><br clear="all">http://www.randomhouse.com/catalog/display.pperl?isbn=97815910229612005-06-03T00:30:00-05:00The Joy of Pi by Hank Jacobswww.randomhouse.com<a href="http://www.randomhouse.com/catalog/display.pperl?isbn=9780739301715"><img align="right" src="http://www.randomhouse.com/catalog/catalog_cover.pperl?9780739301715" border="1"/></a><h3><a href="http://www.randomhouse.com/catalog/display.pperl?isbn=9780739301715">The Joy of Pi</a> <br/><b>Written by</b> <a href="http://www.randomhouse.com/author/results.pperl?authorid=43130">David Blatner</a><br> <b>Read by</b> <a href="http://www.randomhouse.com/author/results.pperl?authorid=44316">Oliver Wyman</a>, <a href="http://www.randomhouse.com/author/results.pperl?authorid=46531">Hank Jacobs</a> and <a href="http://www.randomhouse.com/author/results.pperl?authorid=48733">Laura Dean</a></h3><b>Unabridged Audiobook Download</b>0 | Random House Audio | Mathematics - Geometry | <b>$10.79</b> | 978-0-7393-0171-5 (0-7393-0171-3)<p>No number has captured the attention and imagination of people throughout the ages as much as the ratio of a circle's circumference to its diameter. Pi—or ? as it is symbolically known—is infinite and, in <i>The Joy of pi</i>, it proves to be infinitely intriguing. With incisive historical insight and a refreshing sense of humor, David Blatner explores the many facets of pi and humankind's fascination with it—from the ancient Egyptians and Archimedes to Leonardo da Vinci and the modern-day Chudnovsky brothers, who have calculated pi to eight billion digits with a homemade supercomputer.<br><br><i>The Joy of Pi</i> is a book of many parts. Breezy narratives recount the history of pi and the quirky stories of those obsessed with it. Sidebars document fascinating pi trivia (including a segment from the 0. J. Simpson trial). Dozens of snippets and factoids reveal pi's remarkable impact over the centuries. Mnemonic devices teach how to memorize pi to many hundreds of digits (or more, if you're so inclined). Pi-inspired cartoons, poems, limericks, and jokes offer delightfully "square" pi humor. And, to satisfy even the most exacting of number jocks, the first one million digits of pi appear throughout the book.<br><br>A tribute to all things pi, <i>The Joy of pi</i> is sure to foster a newfound affection and respect for the big number with the funny little symbol.</p><br clear="all">http://www.randomhouse.com/catalog/display.pperl?isbn=97807393017152002-07-16T00:30:00-05:00