Summing It Up
Download Summing It Up PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Summing It Up book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages.
Summing It Up
Author: Avner Ash
language: en
Publisher: Princeton University Press
Release Date: 2018-01-30
The power and properties of numbers, from basic addition and sums of squares to cutting-edge theory We use addition on a daily basis—yet how many of us stop to truly consider the enormous and remarkable ramifications of this mathematical activity? Summing It Up uses addition as a springboard to present a fascinating and accessible look at numbers and number theory, and how we apply beautiful numerical properties to answer math problems. Mathematicians Avner Ash and Robert Gross explore addition's most basic characteristics as well as the addition of squares and other powers before moving onward to infinite series, modular forms, and issues at the forefront of current mathematical research. Ash and Gross tailor their succinct and engaging investigations for math enthusiasts of all backgrounds. Employing college algebra, the first part of the book examines such questions as, can all positive numbers be written as a sum of four perfect squares? The second section of the book incorporates calculus and examines infinite series—long sums that can only be defined by the concept of limit, as in the example of 1+1/2+1/4+. . .=? With the help of some group theory and geometry, the third section ties together the first two parts of the book through a discussion of modular forms—the analytic functions on the upper half-plane of the complex numbers that have growth and transformation properties. Ash and Gross show how modular forms are indispensable in modern number theory, for example in the proof of Fermat's Last Theorem. Appropriate for numbers novices as well as college math majors, Summing It Up delves into mathematics that will enlighten anyone fascinated by numbers.
The Summing Up
In "The Summing Up," W. Somerset Maugham presents a profound introspection that intertwines autobiographical elements with philosophical musings on art, life, and the human condition. Employing a candid and conversational literary style, Maugham reflects on his experiences and the lessons gleaned from a lifetime of observation across various cultural landscapes. The book exists in a unique literary context, bridging modernism and traditional narrative forms, allowing readers to engage with the intricacies of a writer's mind while contemplating existential questions that transcend time and place. W. Somerset Maugham, a prolific writer of the early 20th century, has often been regarded as one of the most significant literary figures of his time. His experiences as a medical student, a traveler, and a witness to both the glamorous and the grim aspects of life profoundly influenced his writing. "The Summing Up" showcases Maugham's desire to distill his observations into universal truths, reflecting his belief in the power of storytelling as a means of understanding one's self and the world. I recommend "The Summing Up" to readers who seek a thoughtful exploration of the complexities of life and creativity. Maugham's penetrating insights and candid revelations resonate with anyone who yearns for deeper understanding, making this work an essential read for lovers of literature and philosophy alike.
Teacher's Guide to ADHD
Meeting a key need for teachers, this book provides practical, data-based tools for helping students with attention-deficit/hyperactivity disorder (ADHD) succeed in the classroom. The authors combine instructional expertise with extensive knowledge about the nature and treatment of ADHD. Coverage includes ways to support students and teach them needed strategies in core areas: academic skills, behavior, self-regulation, and social skills. Step-by-step instructions and concrete examples help teachers implement effective interventions and accommodations. The book also offers crucial guidance for teaming with other school professionals and with parents.