This book takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real analysis, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability. Preliminary material provides an overview of common methods of proof: argument by contradiction, mathematical induction, pigeonhole principle, ordered sets, and invariants. Each chapter systematically presents a single subject within which problems are clustered in each section according to the specific topic. The exposition is driven by nearly 1300 problems and examples chosen from numerous sources from around the world; many original contributions come from the authors. The source, author, and historical background are cited whenever possible. Complete solutions to all problems are given at the end of the book. This second edition includes new sections on quad ratic polynomials, curves in the plane, quadratic fields, combinatorics of numbers, and graph theory, and added problems or theoretical expansion of sections on polynomials, matrices, abstract algebra, limits of sequences and functions, derivatives and their applications, Stokes' theorem, analytical geometry, combinatorial geometry, and counting strategies. Using the W.L. Putnam Mathematical Competition for undergraduates as an inspiring symbol to build an appropriate math background for graduate studies in pure or applied mathematics, the reader is eased into transitioning from problem-solving at the high school level to the university and beyond, that is, to mathematical research. This work may be used as a study guide for the Putnam exam, as a text for many different problem-solving courses, and as a source of problems for standard courses in undergraduate mathematics. Putnam and Beyond is organized for independent study by undergraduate and gradu ate students, as well as teachers and researchers in the physical sciences who wish to expand their mathematical horizons.

The innovative investor’s guide to an entirely new asset class—from two experts on the cutting edge With the rise of bitcoin and blockchain technology, investors can capitalize on the greatest investment opportunity since the Internet. Bitcoin was the first cryptoasset, but today there are over 800 and counting, including ether, ripple, litecoin, monero, and more. This clear, concise, and accessible guide from two industry insiders shows you how to navigate this brave new blockchain world—and how to invest in these emerging assets to secure your financial future. Cryptoassets gives you all the tools you need: * An actionable framework for investigating and valuing cryptoassets * Portfolio management techniques to maximize returns while managing risk * Historical context and tips to navigate inevitable bubbles and manias * Practical guides to exchanges, wallets, capital market vehicles, and ICOs * Predictions on how blockchain technology may disrupt current portfolios In addition to offering smart investment strategies, this authoritative resource will help you understand how these assets were created, how they work, and how they are evolving amid the blockchain revolution. The authors define a clear and original cryptoasset taxonomy, composed of cryptocurrencies, cryptocommodities, and cryptotokens, with insights into how each subset is blending technology and markets. You’ll find a variety of methods to invest in these assets, whether through global exchanges trading 24/7 or initial cryptoasset offerings (ICOs). By sequentially building on the concepts of each prior chapter, the book will provide you with a full understanding of the cryptoasset economy and the opportunities that await the innovative investor. Cryptoassets represent the future of money and markets. This book is your guide to that future.

About the Book: Of late, academicians of technical education have felt the importance of ''Management'' and ''Entrepreneurship''. Engineers need to manage their departments/sections/subordinates, and Entrepreneurship helps the large pool of technical manpower in developing small-scale industries in high tech areas thereby contributing to the economy of the country. This book covers both 'Management' and 'Entrepreneurship'. The first chapters of this book deal with Management, Planning, Organizing and Staffing, Directing and Controlling. The last four chapters deal with Entrepreneurship, Small-Scale Industries, Institutional support and Project formulation. Adequate number of simple examples with which the students are familiar are included in each chapter. In addition, each chapter contains student learning activities to give the readers a chance to enhance the learning process. Though the book is written keeping in mind the syllabus of Visvesvaraya Technological University, yet it is useful for B.Com, BBM, DBM, . PGDBM and MBA students also. Contents: Management Planning Organizing and Staffing Directing and Controlling Entrepreneurship Small-Scale Industries Institutional Support Preparation of Project.

George Orwell provides a vivid and unflinching portrayal of working-class life in Northern England during the 1930s. Through his own experiences and meticulous investigative reporting, Orwell exposes the harsh living conditions, poverty, and social injustices faced by coal miners and other industrial workers in the region. He documents their struggles with unemployment, poor housing, and inadequate healthcare, as well as the pervasive sense of hopelessness and despair that permeates their lives. In the second half of the The Road to Wigan Pier Orwell delves into the complexities of political ideology, as he grapples with the shortcomings of both socialism and capitalism in addressing the needs of the working class. GEORGE ORWELL was born in India in 1903 and passed away in London in 1950. As a journalist, critic, and author, he was a sharp commentator on his era and its political conditions and consequences.