Embark on a captivating journey into the world of number theory with "The Quest for Nine: Decoding The Setiyadi Conjecture" by Deny G. Setiyadi. This comprehensive exploration delves into the intriguing Setiyadi Conjecture, a fascinating proposition that asserts the digit sum of the product of the first positive integers raised to their own power (the hyperfactorial) is always divisible by 3 and 9 for n > 2. Designed to be accessible to readers with varying levels of mathematical background, "The Quest for Nine" offers clarity and depth, making it an ideal resource for students, educators, and seasoned mathematicians alike. This book not only provides a thorough understanding of the Setiyadi Conjecture but also encourages mathematical exploration and curiosity, fostering a deeper appreciation for the beauty and complexity of numerical relationships. Discover the endless possibilities that arise from simple mathematical inquiries. Whether you are a maths enthusiast or a professional, this book will inspire and challenge your understanding of the world of mathematics.
With the emergence of positive psychology in the West, and the many fold discovery of the impact of psychology in one’s life, there is a need to understand spirituality, and to use its positive aspects to maintain a balance in hectic modern life. This book presents models for mapping basic psychological processes and their relationships. It covers basic constructs like cognition, emotion, behavior, desires, creativity, as well as applied topics like personal happiness, intercultural conflict handling, and world peace.
This book gathers selected papers presented at the 4th International Conference on Inventive Communication and Computational Technologies (ICICCT 2020), held on 28–29 May 2020 at Gnanamani College of Technology, Tamil Nadu, India. The respective contributions highlight recent research efforts and advances in a new paradigm called ISMAC (IoT in Social, Mobile, Analytics and Cloud contexts). The topics covered include the Internet of Things, Social Networks, Mobile Communications, Big Data Analytics, Bio-inspired Computing and Cloud Computing. Given its scope, the book is chiefly intended for academics and practitioners working to resolve practical issues in this area.
Mathematical Olympiad Treasures aims at building a bridge between ordinary high school exercises and more sophisticated, intricate and abstract concepts in undergraduate mathematics. The book contains a stimulating collection of problems in the subjects of algebra, geometry, trigonometry, number theory and combinatorics. While it may be considered a sequel to "Mathematical Olympiad Challenges," the focus is on engaging a wider audience to apply techniques and strategies to real-world problems. Throughout the book students are encouraged to express their ideas, conjectures, and conclusions in writing. The goal is to help readers develop a host of new mathematical tools that will be useful beyond the classroom and in a number of disciplines.
Many mathematicians have been drawn to mathematics through their experience with math circles: extracurricular programs exposing teenage students to advanced mathematical topics and a myriad of problem solving techniques and inspiring in them a lifelong love for mathematics. Founded in 1998, the Berkeley Math Circle (BMC) is a pioneering model of a U.S. math circle, aspiring to prepare our best young minds for their future roles as mathematics leaders. Over the last decade, 50 instructors--from university professors to high school teachers to business tycoons--have shared their passion for mathematics by delivering more than 320 BMC sessions full of mathematical challenges and wonders. Based on a dozen of these sessions, this book encompasses a wide variety of enticing mathematical topics: from inversion in the plane to circle geometry; from combinatorics to Rubik's cube and abstract algebra; from number theory to mass point theory; from complex numbers to game theory via invariants and monovariants. The treatments of these subjects encompass every significant method of proof and emphasize ways of thinking and reasoning via 100 problem solving techniques. Also featured are 300 problems, ranging from beginner to intermediate level, with occasional peaks of advanced problems and even some open questions. The book presents possible paths to studying mathematics and inevitably falling in love with it, via teaching two important skills: thinking creatively while still ``obeying the rules,'' and making connections between problems, ideas, and theories. The book encourages you to apply the newly acquired knowledge to problems and guides you along the way, but rarely gives you ready answers. ``Learning from our own mistakes'' often occurs through discussions of non-proofs and common problem solving pitfalls. The reader has to commit to mastering the new theories and techniques by ``getting your hands dirty'' with the problems, going back and reviewing necessary problem solving techniques and theory, and persistently moving forward in the book. The mathematical world is huge: you'll never know everything, but you'll learn where to find things, how to connect and use them. The rewards will be substantial. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.
Math circles provide a setting in which mathematicians work with secondary school students who are interested in mathematics. This form of outreach, which has existed for decades in Russia, Bulgaria, and other countries, is now rapidly spreading across the United States as well. The first part of this book offers helpful advice on all aspects of math circle operations, culled from conversations with over a dozen directors of successful math circles. Topics include creative means for getting the word out to students, sound principles for selecting effective speakers, guidelines for securing financial support, and tips for designing an exciting math circle session. The purpose of this discussion is to enable math circle coordinators to establish a thriving group in which students can experience the delight of mathematical investigation. The second part of the book outlines ten independent math circle sessions, covering a variety of topics and difficulty levels. Each chapter contains detailed presentation notes along with a useful collection of problems and solutions. This book will be an indispensable resource for any individual involved with a math circle or anyone who would like to see one begin in his or her community. Sam Vandervelde teaches at St. Lawrence University. He launched the Stanford Math Circle and also writes and coordinates the Mandelbrot Competition, a math contest for high schools. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession. Titles in this series are co-published with the Mathematical Sciences Research Institute (MSRI).
This volume offers a collection of non-trivial, unconventional problems that require deep insight and imagination to solve. They cover many topics, including number theory, algebra, combinatorics, geometry and analysis. The problems start as simple exercises and become more difficult as the reader progresses through the book to become challenging enough even for the experienced problem solver. The introductory problems focus on the basic methods and tools while the advanced problems aim to develop problem solving techniques and intuition as well as promote further research in the area. Solutions are included for each problem.
This book presents a series of lectures on three of the best known examples of free discontinuity problems: the Mumford-Shah model for image segmentation, a variational model for the epitaxial growth of thin films, and the sharp interface limit of the Ohta-Kawasaki model for pattern formation in dyblock copolymers.
Now there's a better way to teach anything to anybody! Announcing...Quantum Teaching: Orchestrating Student Success Based on 18 years experience and research with over 25,000 students. Boosts teachers' ability to inspire and students' ability to achieve. This body of knowledge and methodology was first used at SuperCamp, an accelerated Quantum Learning program that achieved outstanding results for students. Quantum Teaching shows teachers how to orchestrate their students' success by taking into account everything in the classroom along with the environment, the design of the curriculum, and how it's presented. The result: a highly-effective way to teach anything to anybody!Available as an illustrated how-to book that bridges the gap between theory and practice and that covers today's hottest topics, like multiple intelligences, this book provides specific, easy-to-follow guidelines for creating more-effective learning environments, better ways to design curricula, and more interesting ways to deliver content and facilitate the learning process. Designed and written as an interactive tool, Quantum Teaching includes lesson planning guidelines to help teachers cover all the bases, without having to culminate different theories or refer to different source materials. A reproducible lesson planning guide makes it easy to start implementing new strategies immediately. Bobbi DePorter, author of the best-selling books Quantum Learning and Quantum Business, is founder and president of Learning Forum, which has helped over 25,000 students of all ages. Mark Reardon, a former teacher and principal, is an internationally recognized lead facilitator for Learning Forum. Sarah Singer-Nouri is an award-winning teacher and trainer.
* Embraces a broad range of topics in analysis requiring only a sound knowledge of calculus and the functions of one variable. * Filled with beautiful illustrations, examples, exercises at the end of each chapter, and a comprehensive index.
