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The Mathematical Tourist
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Book Synopsis The Mathematical Tourist by : Ivars Peterson
Download or read book The Mathematical Tourist written by Ivars Peterson and published by Macmillan. This book was released on 1998-04-15 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the first edition of The Mathematical Tourist, renowned science journalist Ivars Peterson took readers on an unforgettable tour through the sometimes bizarre, but always fascinating, landscape of modern mathematics. Now the journey continues in a new, updated edition that includes all the latest information on mathematical proofs, fractals, prime numbers, and chaos, as well as new material on * the relationship between mathematical knots and DNA * how computers based on quantum logic can significantly speed up the factoring of large composite numbers * the relationship between four-dimensional geometry and physical theories of the nature of matter * the application of cellular automata models to social questions and the peregrinations of virtual ants * a novel mathematical model of quasicrystals based on decagon-shaped tiles Blazing a trail through rows of austere symbols and dense lines of formulae, Peterson explores the central ideas behind the work of professional mathematicians-- how and where their pieces of the mathematical puzzle fit in, the sources of their ideas, their fountains of inspiration, and the images that carry them from one discovery to another.
Book Synopsis The Mathematical Tourist by : Ivars Peterson
Download or read book The Mathematical Tourist written by Ivars Peterson and published by . This book was released on 2001 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: A revised, updated edition of Peterson's classic work. Presents the latest information on mathematical proofs, fractals, prime numbers, and chaos, as well as new material on such intriguing topics as the relationship between mathematical knots and DNA; the application of cellular automata models to social questions; and the significant increase in the speed of factoring large composite numbers by means of computers based on quantum logic.
Book Synopsis The Mathematical Tourist by : Ivars Peterson
Download or read book The Mathematical Tourist written by Ivars Peterson and published by . This book was released on 1988 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this revised, updated edition of Peterson's classic work, the author blazes a trail into math's wilderness, a domain of unsettled truths full of unanswered questions, and shows us the wonderland beyond the thicket. He presents the latest information on mathematical proofs, fractals, prime numbers, and chaos, as well as new material on such intriguing topics as the relationship between mathematical knots and DNA; the application of cellular automata models to social questions; and the significant increase in the speed of factoring large composite numbers by means of computers based on quantum logic. Demystifying the major discoveries in mathematics, Peterson explores the work of key mathematicians along with the sources of their ideas and inspiration. He also shows how their discoveries fit into the mathematical puzzle and have spawned further developments. More than 100 lively line drawings and sixteen color plates of computer-generated images graphically illuminate the concepts.--From publisher description.
Book Synopsis Quantum Field Theory by : G. B. Folland
Download or read book Quantum Field Theory written by G. B. Folland and published by American Mathematical Soc.. This book was released on 2008-08-26 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum field theory has been a great success for physics, but it is difficult for mathematicians to learn because it is mathematically incomplete. Folland, who is a mathematician, has spent considerable time digesting the physical theory and sorting out the mathematical issues in it. Fortunately for mathematicians, Folland is a gifted expositor. The purpose of this book is to present the elements of quantum field theory, with the goal of understanding the behavior of elementary particles rather than building formal mathematical structures, in a form that will be comprehensible to mathematicians. Rigorous definitions and arguments are presented as far as they are available, but the text proceeds on a more informal level when necessary, with due care in identifying the difficulties. The book begins with a review of classical physics and quantum mechanics, then proceeds through the construction of free quantum fields to the perturbation-theoretic development of interacting field theory and renormalization theory, with emphasis on quantum electrodynamics. The final two chapters present the functional integral approach and the elements of gauge field theory, including the Salam-Weinberg model of electromagnetic and weak interactions.
Book Synopsis Islands of Truth by : Ivars Peterson
Download or read book Islands of Truth written by Ivars Peterson and published by W H Freeman & Company. This book was released on 1991-05-01 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ivars Peterson has come up with another itinerary of Mathland - where the habitat is mysterious and the inhabitants fascinating. He explores uncharted islands, introducing strange vibrations in the shadows of chaos, new twists in knot physics, and the straight side of circles. The tour is enjoyable to experienced travellers and first-time tourists alike. Peterson, a journalist with Science News, makes the arcane intelligible by interpreting mathematics into engaging prose.
Download or read book Newton's Clock written by Ivars Peterson and published by Macmillan. This book was released on 1993 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: With his critically acclaimed best-sellers The Mathematical Tourism and Islands of Truth, Ivars Peterson took readers to the frontiers of modern mathematics. His new book provides an up-to-date look at one of science's greatest detective stories: the search for order in the workings of the solar system. In the late 1600s, Sir Isaac Newton provided what astronomers had long sought: a seemingly reliable way of calculating planetary orbits and positions. Newton's laws of motion and his coherent, mathematical view of the universe dominated scientific discourse for centuries. At the same time, observers recorded subtle, unexpected movements of the planets and other bodies, suggesting that the solar system is not as placid and predictable as its venerable clock work image suggests. Today, scientists can go beyond the hand calculations, mathematical tables, and massive observational logs that limited the explorations of Newton, Copernicus, Galileo, Kepler, Tycho Brahe, and others. Using supercomputers to simulate the dynamics of the solar system, modern astronomers are learning more about the motions they observe and uncovering some astonishing examples of chaotic behavior in the heavens. Nonetheless, the long-term stability of the solar system remains a perplexing, unsolved issue, with each step toward its resolution exposing additional uncertainties and deeper mysteries. To show how our view of the solar system has changed from clocklike precision to chaos and complexity, Newton's Clock describes the development of celestial mechanics through the ages - from the star charts of ancient navigators to the seminal discoveries of the 17th century from the crucial work of Poincare to thestartling, sometimes controversial findings and theories made possible by modern mathematics and computer simulations. The result makes for entertaining and provocative reading, equal parts science, history and intellectual adventure.
Book Synopsis Mathematical Treks by : Ivars Peterson
Download or read book Mathematical Treks written by Ivars Peterson and published by MAA. This book was released on 2002-03-14 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collected articles on mathematics from the popular Math treks column; extra web support available.
Download or read book Math Trek written by Ivars Peterson and published by John Wiley & Sons. This book was released on 1999-10-14 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: There s a new amusement park in town. Come on in and find out allthe exciting ways you can have fun with math in everyday life.Wander through the fractal forest, take a ride on the M?obius-striproller coaster, and get dizzy learning about how math makes theTilt-A-Whirl possible. The more activities you try, the more you lllearn how cool it can be to see the world through the eyes of amathematician. Once you ve sampled some of the interesting and unique projects inMath Trek, from untangling unknots to winning games with weird diceto figuring out secret codes, you ll see that every trip to theMathZone is an exciting adventure!
Book Synopsis Mathematical Bridges by : Titu Andreescu
Download or read book Mathematical Bridges written by Titu Andreescu and published by Birkhäuser. This book was released on 2017-02-17 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: Building bridges between classical results and contemporary nonstandard problems, this highly relevant work embraces important topics in analysis and algebra from a problem-solving perspective. The book is structured to assist the reader in formulating and proving conjectures, as well as devising solutions to important mathematical problems by making connections between various concepts and ideas from different areas of mathematics. Instructors and motivated mathematics students from high school juniors to college seniors will find the work a useful resource in calculus, linear and abstract algebra, analysis and differential equations. Students with an interest in mathematics competitions must have this book in their personal libraries.
Book Synopsis The Jungles of Randomness by : Ivars Peterson
Download or read book The Jungles of Randomness written by Ivars Peterson and published by John Wiley & Sons. This book was released on 1998 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hidden rules and secret patterns lurk within apparently random events and chance encounters.
Book Synopsis Mathematical, Computational Intelligence and Engineering Approaches for Tourism, Agriculture and Healthcare by : Pankaj Srivastava
Download or read book Mathematical, Computational Intelligence and Engineering Approaches for Tourism, Agriculture and Healthcare written by Pankaj Srivastava and published by Springer Nature. This book was released on 2021-10-19 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of selected papers presented at the 17th FAI International Conference on Engineering, Mathematical and Computational Intelligence (ICEMCI 2019), held at Jabalpur Engineering College, India, from 21–23 December 2019. This book discusses mathematical, computational intelligence and engineering approaches for tourism, agriculture and health care. It is a unique combination of a wide spectrum of topics, such as tourism destination ranking, medical diagnosis-based intelligent systems, drivers for hotel objectives, irrigation systems and more, which are discussed by using fuzzy, statistical and neural network tools. This book will be valuable to faculty members, postgraduate students, research scholars as well as readers from the industrial sector.
Book Synopsis Excursions in Number Theory by : Charles Stanley Ogilvy
Download or read book Excursions in Number Theory written by Charles Stanley Ogilvy and published by Courier Corporation. This book was released on 1988-01-01 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Challenging, accessible mathematical adventures involving prime numbers, number patterns, irrationals and iterations, calculating prodigies, and more. No special training is needed, just high school mathematics and an inquisitive mind. "A splendidly written, well selected and presented collection. I recommend the book unreservedly to all readers." — Martin Gardner.
Book Synopsis Journey Through Genius by : William Dunham
Download or read book Journey Through Genius written by William Dunham and published by Penguin Books. This book was released on 1991-08 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Like masterpieces of art, music, and literature, great mathematical theorems are creative milestones, works of genius destined to last forever. Now William Dunham gives them the attention they deserve. Dunham places each theorem within its historical context and explores the very human and often turbulent life of the creator — from Archimedes, the absentminded theoretician whose absorption in his work often precluded eating or bathing, to Gerolamo Cardano, the sixteenth-century mathematician whose accomplishments flourished despite a bizarre array of misadventures, to the paranoid genius of modern times, Georg Cantor. He also provides step-by-step proofs for the theorems, each easily accessible to readers with no more than a knowledge of high school mathematics. A rare combination of the historical, biographical, and mathematical, Journey Through Genius is a fascinating introduction to a neglected field of human creativity. “It is mathematics presented as a series of works of art; a fascinating lingering over individual examples of ingenuity and insight. It is mathematics by lightning flash.” —Isaac Asimov
Book Synopsis Quantum Theory for Mathematicians by : Brian C. Hall
Download or read book Quantum Theory for Mathematicians written by Brian C. Hall and published by Springer Science & Business Media. This book was released on 2013-06-19 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although ideas from quantum physics play an important role in many parts of modern mathematics, there are few books about quantum mechanics aimed at mathematicians. This book introduces the main ideas of quantum mechanics in language familiar to mathematicians. Readers with little prior exposure to physics will enjoy the book's conversational tone as they delve into such topics as the Hilbert space approach to quantum theory; the Schrödinger equation in one space dimension; the Spectral Theorem for bounded and unbounded self-adjoint operators; the Stone–von Neumann Theorem; the Wentzel–Kramers–Brillouin approximation; the role of Lie groups and Lie algebras in quantum mechanics; and the path-integral approach to quantum mechanics. The numerous exercises at the end of each chapter make the book suitable for both graduate courses and independent study. Most of the text is accessible to graduate students in mathematics who have had a first course in real analysis, covering the basics of L2 spaces and Hilbert spaces. The final chapters introduce readers who are familiar with the theory of manifolds to more advanced topics, including geometric quantization.
Book Synopsis The Mathematics of the Heavens and the Earth by : Glen Van Brummelen
Download or read book The Mathematics of the Heavens and the Earth written by Glen Van Brummelen and published by Princeton University Press. This book was released on 2021-08-10 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematics of the Heavens and the Earth is the first major history in English of the origins and early development of trigonometry. Glen Van Brummelen identifies the earliest known trigonometric precursors in ancient Egypt, Babylon, and Greece, and he examines the revolutionary discoveries of Hipparchus, the Greek astronomer believed to have been the first to make systematic use of trigonometry in the second century BC while studying the motions of the stars. The book traces trigonometry's development into a full-fledged mathematical discipline in India and Islam; explores its applications to such areas as geography and seafaring navigation in the European Middle Ages and Renaissance; and shows how trigonometry retained its ancient roots at the same time that it became an important part of the foundation of modern mathematics. The Mathematics of the Heavens and the Earth looks at the controversies as well, including disputes over whether Hipparchus was indeed the father of trigonometry, whether Indian trigonometry is original or derived from the Greeks, and the extent to which Western science is indebted to Islamic trigonometry and astronomy. The book also features extended excerpts of translations of original texts, and detailed yet accessible explanations of the mathematics in them. No other book on trigonometry offers the historical breadth, analytical depth, and coverage of non-Western mathematics that readers will find in The Mathematics of the Heavens and the Earth.
Download or read book Love and Math written by Edward Frenkel and published by Basic Books. This book was released on 2013-10-01 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: An awesome, globe-spanning, and New York Times bestselling journey through the beauty and power of mathematics What 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 shows that mathematics, far from occupying a specialist niche, goes to the heart of all matter, uniting us across cultures, time, and space. Love and Math tells two intertwined stories: of the wonders of mathematics and of one young man's journey learning and living it. Having braved a discriminatory educational system to become one of the twenty-first century's leading mathematicians, Frenkel now works on one of the biggest ideas to come out of math in the last 50 years: the Langlands Program. Considered by many to be a Grand Unified Theory of mathematics, the Langlands Program enables researchers to translate findings from one field to another so that they can solve problems, such as Fermat's last theorem, that had seemed intractable before. At its core, Love and Math is a story about accessing a new way of thinking, which can enrich our lives and empower us to better understand the world and our place in it. It is an invitation to discover the magic hidden universe of mathematics.
Book Synopsis The A to Z of Mathematics by : Thomas H. Sidebotham
Download or read book The A to Z of Mathematics written by Thomas H. Sidebotham and published by John Wiley & Sons. This book was released on 2003-04-14 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Forget the jargon. Forget the anxiety. Just remember themath. In this age of cheap calculators and powerful spreadsheets, whoneeds to know math? The answer is: everyone. Math is all around us.We confront it shopping in the supermarket, paying our bills,checking the sports stats, and working at our jobs. It is also oneof the most fascinating-and useful-subjects. Mastering math canmake a difference in your career, your studies, and your dailylife. If you are among the millions of people who would love tounderstand math but are turned away by fear of its complexity, hereis your salvation. The A to Z of Mathematics makes math simplewithout making it simplistic. Both easy to use and easy to read,the book covers all the topics in basic mathematics. You'll learnthe definitions of such terms as "proportion"and "hexomino," andgrasp the concepts behind algebra, statistics, and other processes.The book's alphabetical arrangement helps you quickly home in onany topic, and its text is rich with stimulating examples,diagrams, and other illustrations that make the discussion crystalclear to every reader. Everyone will find something of interest inthis wide-ranging guide to mathematics. The perfect antidote to math anxiety, this is an invaluableresource for parents and students, home schoolers, teachers, andanyone else who wants to improve his or her math skills anddiscover the amazing relevance of mathematics to the world aroundus.
