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Author: Ivars Peterson Publisher: Macmillan ISBN: 0805071598 Category : Mathematics Languages : en Pages : 273
Book Description
A guide to mathematics covers such topics as mathematical proofs, fractals, chaos, prime numbers, four-dimensional geometry, and quasicrystals.
Author: Ivars Peterson Publisher: Macmillan ISBN: 0805071598 Category : Mathematics Languages : en Pages : 273
Book Description
A guide to mathematics covers such topics as mathematical proofs, fractals, chaos, prime numbers, four-dimensional geometry, and quasicrystals.
Author: Ivars Peterson Publisher: ISBN: Category : Mathematics Languages : en Pages : 0
Book Description
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: Category : Mathematics Languages : en Pages : 266
Book Description
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: 1470464837 Category : Education Languages : en Pages : 325
Book Description
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: W H Freeman & Company ISBN: 9780716721482 Category : Mathematics Languages : en Pages : 325
Book Description
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: William Dunham Publisher: Penguin Books ISBN: Category : Biography & Autobiography Languages : en Pages : 324
Book Description
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: Ivars Peterson Publisher: John Wiley & Sons ISBN: 0471315702 Category : Juvenile Nonfiction Languages : en Pages : 127
Book Description
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!
Author: Titu Andreescu Publisher: Birkhäuser ISBN: 0817646299 Category : Mathematics Languages : en Pages : 309
Book Description
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.
Author: Ivars Peterson
Author: Ivars Peterson
Author: Ivars Peterson
Author: Ivars Peterson
Author: Gerald B. Folland
Author: Ivars Peterson
Author: Ivars Peterson
Author: Ivars Peterson
Author: William Dunham
Author: Ivars Peterson
Author: Titu Andreescu