Author: Henry BowersPublisher: London : Toronto : Dent ; New York : Dover Publications
ISBN:
Category : Algebra
Languages : en
Pages : 356
Book Description
Arithmetical Excursions
Author: Henry BowersPublisher: London : Toronto : Dent ; New York : Dover Publications
ISBN:
Category : Algebra
Languages : en
Pages : 356
Book Description
Excursions in Multiplicative Number Theory
Author: Olivier RamaréPublisher: Springer Nature
ISBN: 3030731693
Category : Mathematics
Languages : en
Pages : 342
Book Description
This textbook offers a unique exploration of analytic number theory that is focused on explicit and realistic numerical bounds. By giving precise proofs in simplified settings, the author strategically builds practical tools and insights for exploring the behavior of arithmetical functions. An active learning style is encouraged across nearly three hundred exercises, making this an indispensable resource for both students and instructors. Designed to allow readers several different pathways to progress from basic notions to active areas of research, the book begins with a study of arithmetic functions and notions of arithmetical interest. From here, several guided “walks” invite readers to continue, offering explorations along three broad themes: the convolution method, the Levin–Faĭnleĭb theorem, and the Mellin transform. Having followed any one of the walks, readers will arrive at “higher ground”, where they will find opportunities for extensions and applications, such as the Selberg formula, Brun’s sieve, and the Large Sieve Inequality. Methodology is emphasized throughout, with frequent opportunities to explore numerically using computer algebra packages Pari/GP and Sage. Excursions in Multiplicative Number Theory is ideal for graduate students and upper-level undergraduate students who are familiar with the fundamentals of analytic number theory. It will also appeal to researchers in mathematics and engineering interested in experimental techniques in this active area.
Excursions in the History of Mathematics
Author: Israel KleinerPublisher: Springer Science & Business Media
ISBN: 0817682686
Category : Mathematics
Languages : en
Pages : 362
Book Description
This book comprises five parts. The first three contain ten historical essays on important topics: number theory, calculus/analysis, and proof, respectively. Part four deals with several historically oriented courses, and Part five provides biographies of five mathematicians who played major roles in the historical events described in the first four parts of the work. Excursions in the History of Mathematics was written with several goals in mind: to arouse mathematics teachers’ interest in the history of their subject; to encourage mathematics teachers with at least some knowledge of the history of mathematics to offer courses with a strong historical component; and to provide an historical perspective on a number of basic topics taught in mathematics courses.
Excursions in Calculus
Author: Robert M. YoungPublisher: Cambridge University Press
ISBN: 9780883853177
Category : Mathematics
Languages : en
Pages : 436
Book Description
This book explores the interplay between the two main currents of mathematics, the continuous and the discrete.
Atlantic Educational Journal
Author: The Teaching of Mathematics in the Elementary and the Secondary School
Author: Jacob William Albert YoungPublisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 396
Book Description
The Arithmetic Teacher
Author: Catalog of Copyright Entries. Third Series
Author: Library of Congress. Copyright OfficePublisher: Copyright Office, Library of Congress
ISBN:
Category : Copyright
Languages : en
Pages : 1076
Book Description
Includes Part 1, Number 1: Books and Pamphlets, Including Serials and Contributions to Periodicals (January - June)
Wednesday Is Indigo Blue
Author: Richard E. CytowicPublisher: MIT Press
ISBN: 0262260557
Category : Science
Languages : en
Pages : 321
Book Description
Revealing the neuroscience and genetics behind synesthesia—and how this multi-sensory phenomenon changed our view of the brain. A person with synesthesia might feel the flavor of food on her fingertips, sense the letter “J” as shimmering magenta or the number “5” as emerald green, hear and taste her husband’s voice as buttery golden brown. Synesthetes rarely talk about their peculiar sensory gift—believing either that everyone else senses the world exactly as they do, or that no one else does. Yet synesthesia occurs in 1 in 20 people, and is even more common among artists. One famous synesthete was novelist Vladimir Nabokov, who insisted as a toddler that the colors on his wooden alphabet blocks were “all wrong.” His mother understood exactly what he meant because she, too, had synesthesia. Nabokov's son Dmitri, who recounts this tale in the afterword to this book, is also a synesthete—further illustrating how synesthesia runs in families. Wednesday Is Indigo Blue reveals how the extraordinary multisensory phenomenon of synesthesia has changed our traditional view of the brain. Because synesthesia contradicted existing theory, researcher Richard Cytowic spent 20 years persuading colleagues that it was a real—and important—brain phenomenon rather than a mere curiosity. Today, scientists in 15 countries are exploring synesthesia and how it is changing the traditional view of how the brain works. Cytowic and neuroscientist David Eagleman argue that perception is already multisensory, though for most of us its multiple dimensions exist beyond the reach of consciousness. Reality, they point out, is more subjective than most people realize. No mere curiosity, synesthesia is a window on the mind and brain, highlighting the amazing differences in the way people see the world.
The Study of Arithmetic
Author: L. Clark LayPublisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 618
Book Description