"A complete research-based, K-5 mathematics program integrating math, science and language arts. [The program] embodies the NCTM Principles and standards for school mathematics and is based on the ideas that mathematics is best learned by solving problems in real-world contexts and that a curriculum should balance conceptual understanding and procedural skill"--P. [4] of cover.
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.
This is a comprehensive textbook for the new trend of distributed power generation systems and renewable energy sources in electric power systems. It covers the complete range of topics from fundamental concepts to major technologies as well as advanced topics for power consumers. An Instructor's Manual presenting detailed solutions to all the problems in the book is available from the Wiley editorial department -- to obtain the manual, send an email to [email protected]
Backpacker brings the outdoors straight to the reader's doorstep, inspiring and enabling them to go more places and enjoy nature more often. The authority on active adventure, Backpacker is the world's first GPS-enabled magazine, and the only magazine whose editors personally test the hiking trails, camping gear, and survival tips they publish. Backpacker's Editors' Choice Awards, an industry honor recognizing design, feature and product innovation, has become the gold standard against which all other outdoor-industry awards are measured.
The growing impact of university rankings on public policy and on students choices has stirred controversy worldwide. This unique volume brings together the architects of university rankings and their critics to debate the uses and misuses of existing rankings. With voices from five continents, it provides a comprehensive overview of current thinking on the subject and sets out alternative approaches and complementary tools for a new era of transparent and informed use of higher education ranking tables.
Share This is a practical handbook to the biggest changes taking place in the media and its professions by the Chartered Institute of Public Relations (CIPR) Social Media Panel. The book was conceived and written by more than 20 public relations practitioners representing a cross-section of public, private and voluntary sector expertise using many of the social tools and techniques that it addresses. The book is split into 26 chapters over eight topic areas covering the media and public relations industry, planning, social networks, online media relations, monitoring and measurement, skills, industry change and the future of the industry. It’s a pragmatic guide for anyone that works in public relations and wants to continue working in the industry. Share This was edited by Stephen Waddington with contributions from: Katy Howell, Simon Sanders, Andrew Smith, Helen Nowicka, Gemma Griffiths, Becky McMichael, Robin Wilson, Alex Lacey, Matt Appleby, Dan Tyte, Stephen Waddington, Stuart Bruce, Rob Brown, Russell Goldsmith, Adam Parker, Julio Romo, Philip Sheldrake, Richard Bagnall, Daljit Bhurji, Richard Bailey, Rachel Miller, Mark Pack, and Simon Collister.
Rufus of Ephesus' treatise On Melancholy represents perhaps the most influential medical monograph from the late first century AD, since his notion of melancholy links two diverse aspects: black bile as a cause for madness and depression and as a sign of intellectual genius. Rufus combines concepts of melancholy developed in the Aristotelian philosophy with concepts of famous physicians such as Hippocrates and Diocles. His ideas strongly influenced subsequent generations of physicians, and especially Galen, and dominated discourses on the topic during the Middle Ages and the Renaissance. Moreover, the reception of Rufus' concepts was not limited to the Western world; in medieval Muslim culture, in particular, his work enjoyed great fame and favor, and many intellectuals read it eagerly.In this volume, the Greek, Latin and Arabic fragments of this work, lost in the original, have been collected for the first time. Arabic sources in particular yield hitherto unknown fragments, thus allowing for new interpretations of this work. The English introduction, translation and commentary reconstruct the main arguments of this important treatise, enabling the interested scholar to obtain easy access to it. Leading scholars contributed interpretative essays which investigate Rufus and his ideas about melancholy in antiquity, the Middle Ages, the Renaissance and the early modern period from different vantage points, including history, philosophy, literature, art history and psychiatry.
For physics students interested in the mathematics they use, and for math students interested in seeing how some of the ideas of their discipline find realization in an applied setting. The presentation strikes a balance between formalism and application, between abstract and concrete. The interconnections among the various topics are clarified both by the use of vector spaces as a central unifying theme, recurring throughout the book, and by putting ideas into their historical context. Enough of the essential formalism is included to make the presentation self-contained.
Hoewel enorm invloedrijk in Duitstalig Europa, heeft de conceptuele geschiedschrijving (Begriffsgeschichte) tot nu toe weinig aandacht in het Engels gekregen. Dit genre van intellectuele geschiedschrijving verschilt van zowel de Franse geschiedschrijving van mentalités als de Engelstalige geschiedschrijving van verhandelingen door het concept. Aan de hand van practische voorbeelden in de geschiedschrijving wordt deze vorm toegelicht door Bram Kempers, Eddy de Jongh en Rolf Reichardt.