Download or read book Arithmetic Tales written by Olivier Bordellès and published by Springer Nature. This book was released on 2020-11-26 with total page 782 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook covers a wide array of topics in analytic and multiplicative number theory, suitable for graduate level courses. Extensively revised and extended, this Advanced Edition takes a deeper dive into the subject, with the elementary topics of the previous edition making way for a fuller treatment of more advanced topics. The core themes of the distribution of prime numbers, arithmetic functions, lattice points, exponential sums and number fields now contain many more details and additional topics. In addition to covering a range of classical and standard results, some recent work on a variety of topics is discussed in the book, including arithmetic functions of several variables, bounded gaps between prime numbers à la Yitang Zhang, Mordell's method for exponential sums over finite fields, the resonance method for the Riemann zeta function, the Hooley divisor function, and many others. Throughout the book, the emphasis is on explicit results. Assuming only familiarity with elementary number theory and analysis at an undergraduate level, this textbook provides an accessible gateway to a rich and active area of number theory. With an abundance of new topics and 50% more exercises, all with solutions, it is now an even better guide for independent study.
Download or read book Arithmetic Tales written by Olivier Bordellès and published by Springer Science & Business Media. This book was released on 2012-05-31 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: Number theory was once famously labeled the queen of mathematics by Gauss. The multiplicative structure of the integers in particular deals with many fascinating problems some of which are easy to understand but very difficult to solve. In the past, a variety of very different techniques has been applied to further its understanding. Classical methods in analytic theory such as Mertens’ theorem and Chebyshev’s inequalities and the celebrated Prime Number Theorem give estimates for the distribution of prime numbers. Later on, multiplicative structure of integers leads to multiplicative arithmetical functions for which there are many important examples in number theory. Their theory involves the Dirichlet convolution product which arises with the inclusion of several summation techniques and a survey of classical results such as Hall and Tenenbaum’s theorem and the Möbius Inversion Formula. Another topic is the counting integer points close to smooth curves and its relation to the distribution of squarefree numbers, which is rarely covered in existing texts. Final chapters focus on exponential sums and algebraic number fields. A number of exercises at varying levels are also included. Topics in Multiplicative Number Theory introduces offers a comprehensive introduction into these topics with an emphasis on analytic number theory. Since it requires very little technical expertise it will appeal to a wide target group including upper level undergraduates, doctoral and masters level students.
Download or read book Arithmechicks Add Up written by Ann Marie Stephens and published by Astra Publishing House. This book was released on 2022-05-10 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: This exuberant picture book demonstrates key math concepts to children as ten math-loving chicks make a new friend. As the Arithmechicks slide down the slide, swing on the swings, and play hide-and-seek, they don't realize that a lonely mouse is copying them, longing to join in. However, when their basketball becomes stuck, the chicks discover that a two-inch-tall new friend is exactly what they need. In this heartwarming story, there are many ways to add up ten cheerful chicks--but a new friend is what makes them cheer. The book includes a helpful glossary that defines the eight arithmetic strategies the chicks use throughout the story, providing a playful introduction to essential math for young children and their caregivers.
Download or read book An Imaginary Tale written by Paul Nahin and published by Princeton University Press. This book was released on 2010-02-22 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Today complex numbers have such widespread practical use--from electrical engineering to aeronautics--that few people would expect the story behind their derivation to be filled with adventure and enigma. In An Imaginary Tale, Paul Nahin tells the 2000-year-old history of one of mathematics' most elusive numbers, the square root of minus one, also known as i. He recreates the baffling mathematical problems that conjured it up, and the colorful characters who tried to solve them. In 1878, when two brothers stole a mathematical papyrus from the ancient Egyptian burial site in the Valley of Kings, they led scholars to the earliest known occurrence of the square root of a negative number. The papyrus offered a specific numerical example of how to calculate the volume of a truncated square pyramid, which implied the need for i. In the first century, the mathematician-engineer Heron of Alexandria encountered I in a separate project, but fudged the arithmetic; medieval mathematicians stumbled upon the concept while grappling with the meaning of negative numbers, but dismissed their square roots as nonsense. By the time of Descartes, a theoretical use for these elusive square roots--now called "imaginary numbers"--was suspected, but efforts to solve them led to intense, bitter debates. The notorious i finally won acceptance and was put to use in complex analysis and theoretical physics in Napoleonic times. Addressing readers with both a general and scholarly interest in mathematics, Nahin weaves into this narrative entertaining historical facts and mathematical discussions, including the application of complex numbers and functions to important problems, such as Kepler's laws of planetary motion and ac electrical circuits. This book can be read as an engaging history, almost a biography, of one of the most evasive and pervasive "numbers" in all of mathematics. Some images inside the book are unavailable due to digital copyright restrictions.
Download or read book Arithmechicks Take Away written by Ann Marie Stephens and published by Astra Publishing House. This book was released on 2022-05-10 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: This playful picture book demonstrates key math concepts to children in a merry story featuring the Arithmechicks, ten math-loving chicks. The Arithmechicks have invited their new friend Mouse for a sleepover. When Mama says it's time for bed, the clever chicks decide it's time to prolong the fun instead! During the story, readers are invited to count and take away during everyone's favorite game of hide-and-seek—and to find Mouse, who hides in a different place in each illustration -- until all settle down for bed in the warm, cozy conclusion. The book is the perfect introduction to essential math for young children and their caregivers. It includes a helpful glossary that defines the eight arithmetic strategies the chicks use throughout the story.
Download or read book 20 Marvelous Math Tales written by Betsy Franco and published by Scholastic Professional Books. This book was released on 2000-10-01 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt: Even the most reluctant learners will love these fun reproducibles that reinforce essential math skills and introduce key problem-solving strategies, including Guess and Check, Drawing a Diagram, and Working Backward.
Download or read book Annual Report written by and published by . This book was released on 1900 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Tales and Novels written by Maria Edgeworth and published by . This book was released on 1856 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book IIlustrated Tales for Children written by Maria Edgeworth and published by . This book was released on 1850 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Maria Edgeworth s Moral and Popular Tales written by L. Valentine and published by BoD – Books on Demand. This book was released on 2023-11-15 with total page 662 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reprint of the original, first published in 1874.
Download or read book The Publishers Weekly written by and published by . This book was released on 1911 with total page 1394 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Moral Tales by Miss Edgeworth In Three Volumes written by and published by . This book was released on 1813 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The American School Board Journal written by William George Bruce and published by . This book was released on 1895 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fractals Googols and Other Mathematical Tales written by Theoni Pappas and published by Wide World Publishing. This book was released on 1993 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new treasure trove of stories that make mathematical ideas come to life with an unusual cast of characters. This book explores mathematical concepts and topics such as real numbers, exponents, dimensions, and geometry in both serious and humorous ways. 50 line drawings.
Download or read book Ethnomathematics and Mathematics Education written by Cynthia Nicol and published by Springer Nature. This book was released on with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematwist written by T. V. Padma and published by Tulika Books. This book was released on 2007 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Educational Times written by and published by . This book was released on 1925 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt:
