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The principles of algebra were founded by al-Khwarizmi many centuries ago, in a time when mankind had no calculators, computers, or electronic gadgets. There were no telephones and the only means of communication was by messenger on horseback and boat. Yet the usefulness of algebra in almost every walk of life involving numbers has ensured not only its survival but also its continued development right up to the present day. Armchair Algebra is a collection of problems, some with a very practical application, others designed as purely theoretical puzzles, that will offer something of interest to everyone. Each section is written in an easy-to-follow format and guides the reader progressively through this fascinating subject. Understand algebra, and all other branches of mathematics and arithmetic will suddenly open up in front of you. Armchair Algebra starts with a section of Algebra Basics, which provides topic-specific introductions to all of the basic theories and skills you’ll need for the exercises contained throughout the book. Each subsequent section consists of a combination of exercises, profiles, and background information on a range of fascinating subjects.
Prime Obsession taught us not to be afraid to put the math in a math book. Unknown Quantity heeds the lesson well. So grab your graphing calculators, slip out the slide rules, and buckle up! John Derbyshire is introducing us to algebra through the ages-and it promises to be just what his die-hard fans have been waiting for. "Here is the story of algebra." With this deceptively simple introduction, we begin our journey. Flanked by formulae, shadowed by roots and radicals, escorted by an expert who navigates unerringly on our behalf, we are guaranteed safe passage through even the most treacherous mathematical terrain. Our first encounter with algebraic arithmetic takes us back 38 centuries to the time of Abraham and Isaac, Jacob and Joseph, Ur and Haran, Sodom and Gomorrah. Moving deftly from Abel's proof to the higher levels of abstraction developed by Galois, we are eventually introduced to what algebraists have been focusing on during the last century. As we travel through the ages, it becomes apparent that the invention of algebra was more than the start of a specific discipline of mathematics-it was also the birth of a new way of thinking that clarified both basic numeric concepts as well as our perception of the world around us. Algebraists broke new ground when they discarded the simple search for solutions to equations and concentrated instead on abstract groups. This dramatic shift in thinking revolutionized mathematics. Written for those among us who are unencumbered by a fear of formulae, Unknown Quantity delivers on its promise to present a history of algebra. Astonishing in its bold presentation of the math and graced with narrative authority, our journey through the world of algebra is at once intellectually satisfying and pleasantly challenging.
Armchair Physics is an interactive guide that's part of a series of fascinating subjects - physics, algebra, and chemistry. They contain clear and concise explanations of different concepts, as well as profiles of key thinkers and their discoveries. A unique feature of this series are the simple, step-by-step exercises. Some of these have everyday applications, others are theoretical puzzles, and all are designed to challenge you and test your newly acquired knowledge. Written in a highly readable style suitable for any audience. The aim of each book is to convey the basic principles of a subject - and the stories behind them - to anyone who is interested in learning about the universe around them, with an emphasis on how these seemingly abstract principles relate to everyday experiences. Armchair Physics covers the history and development of physics and is an interesting refresher book on the subject. It's great as a study guide for the student or an introduction for the everyday savant. Readable, understandable, it is a brilliant tool to better understand the broad ideas in physics.
First Published in 1989. We clearly know more today about teaching and learning mathematics than we did twenty years ago, and we are beginning to see the effects of this new knowledge at the classroom level. In particular, we can point to several significant sets of studies based on emerging theoretical frameworks. To establish such a framework, researchers must be provided with the opportunity to exchange and refine their ideas and viewpoints. Conferences held in Georgia and Wisconsin during the seventies serve as examples of the role such meetings can play in providing a vehicle for increased communication, synthesis, summary, and cross-disciplinary fertilization among researchers working within a specialized area of mathematical learning. This monograph holds selected papers from four more recent conferences on Research Agenda in Mathematics Education.
Drawing upon the major Harvard works — Science and the Modern World (1925), Process and Reality (1929) and Adventures of Ideas (1933) —, the essays gathered here on the occasion of the creation of the Applied Process Metaphysics S
This volume is a collection of papers devoted to the 70th birthday of Professor Vladimir Rabinovich. The opening article (by Stefan Samko) includes a short biography of Vladimir Rabinovich, along with some personal recollections and bibliography of his work. It is followed by twenty research and survey papers in various branches of analysis (pseudodifferential operators and partial differential equations, Toeplitz, Hankel, and convolution type operators, variable Lebesgue spaces, etc.) close to Professor Rabinovich's research interests. Many of them are written by participants of the International workshop “Analysis, Operator Theory, and Mathematical Physics” (Ixtapa, Mexico, January 23–27, 2012) having a long history of scientific collaboration with Vladimir Rabinovich, and are partially based on the talks presented there.The volume will be of great interest to researchers and graduate students in differential equations, operator theory, functional and harmonic analysis, and mathematical physics.​