The Mathematical Tourist

Author : Ivars Peterson
Publisher : Macmillan
ISBN 13 : 0805071598
Total Pages : 273 pages
Book Rating : 4.97/5 ( download)

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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.

Author : Ivars Peterson
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.23/5 ( download)

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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.

Author : Ivars Peterson
Publisher :
ISBN 13 :
Total Pages : 266 pages
Book Rating : 4.57/5 ( download)

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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.

Author : Gerald B. Folland
Publisher : American Mathematical Soc.
ISBN 13 : 1470464837
Total Pages : 325 pages
Book Rating : 4.37/5 ( download)

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Download or read book Quantum Field Theory: A Tourist Guide for Mathematicians written by Gerald B. Folland and published by American Mathematical Soc.. This book was released on 2021-02-03 with total page 325 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.

Author : Ivars Peterson
Publisher : Macmillan
ISBN 13 : 0716723964
Total Pages : 341 pages
Book Rating : 4.67/5 ( download)

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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.

Author : Ivars Peterson
Publisher : W H Freeman & Company
ISBN 13 : 9780716721482
Total Pages : 325 pages
Book Rating : 4.81/5 ( download)

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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.

Author : Ivars Peterson
Publisher : American Mathematical Soc.
ISBN 13 : 1470458519
Total Pages : 170 pages
Book Rating : 4.15/5 ( download)

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Download or read book Mathematical Treks: From Surreal Numbers to Magic Circles written by Ivars Peterson and published by American Mathematical Soc.. This book was released on 2020-08-03 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Ivars Peterson
Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 272 pages
Book Rating : 4.11/5 ( download)

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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.

Author : William Dunham
Publisher : Penguin Books
ISBN 13 :
Total Pages : 324 pages
Book Rating : 4.95/5 ( download)

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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

Author : Titu Andreescu
Publisher : Birkhäuser
ISBN 13 : 0817646299
Total Pages : 309 pages
Book Rating : 4.95/5 ( download)

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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.