His students, some of the nation’s brightest minds, were adrift when it came to the big questions: how to think critically and creatively, and how to find a sense of purpose.Excellent Sheep takes a sharp look at the high-pressure conveyor belt that begins with parents and counselors who demand perfect grades and culminates in the skewed applications Deresiewicz saw firsthand as a member of Yale’s admissions committee. As schools shift focus from the humanities to "practical" subjects like economics and computer science, students are losing the ability to think in innovative ways. Deresiewicz explains how college should be a time for self-discovery, when students can establish their own values and measures of success, so they can forge their own path. He addresses parents, students, educators, and anyone who's interested in the direction of American society, featuring quotes from real students and graduates he has corresponded with over the years, candidly exposing where the system is broken and clearly presenting solutions.

    In the same period, the cross-fertilization of mathematics and philosophy resulted in a new sort of 'mathematical philosophy', associated most notably (but in different ways) with Bertrand Russell, W. V. Quine, and Godel himself, and which remains at the focus of Anglo-Saxon philosophical discussion. The present collection brings together in a convenient form the seminal articles in the philosophy of mathematics by these and other major thinkers. It is a substantially revised version of the edition first published in 1964 and includes a revised bibliography. The volume will be welcomed as a major work of reference at this level in the field.

    Following on the footsteps of the National Best Seller "Choose Yourself" James Altucher is back with the revealing, funny, and embarrassing stories from his own life that show that even in the worst case scenario there is always a way towards reinvention and happiness.

    In this guide for students, each equation is the subject of an entire chapter, with detailed, plain-language explanations of the physical meaning of each symbol in the equation, for both the integral and differential forms. The final chapter shows how Maxwell's equations may be combined to produce the wave equation, the basis for the electromagnetic theory of light. This book is a wonderful resource for undergraduate and graduate courses in electromagnetism and electromagnetics. A website hosted by the author at www.cambridge.org/9780521701471 contains interactive solutions to every problem in the text as well as audio podcasts to walk students through each chapter.

    Writings by Plato, Aristotle, Lao-tzu and others demonstrate that the challenges of leadership are as old as civilization. Machiavelli, Tolstoy, Ghandi, and W.E.B. Du Bois provide a wide range of insights into the eternal practice and problems of leadership. Modern masters of leadership such as James MacGregor Burns, John Kotter, and Warren Bennis join such leading practitioners as Max De Pree and Roger B. Smith in discussing contemporary issues in leadership theory and practice.

    A timeless introduction to the field and a landmark in symbolic logic, showing that classical logic can be treated algebraically.

    Now, in an exciting, fast-paced historical narrative ranging across two centuries, Mark Ronan takes us on an exhilarating tour of this final mathematical quest. Ronan describes how the quest to understand symmetry really began with the tragic young genius Evariste Galois, who died at the age of 20 in a duel. Galois, who spent the night before he died frantically scribbling his unpublished discoveries, used symmetry to understand algebraic equations, and he discovered that there were building blocks or atoms of symmetry. Most of these building blocks fit into a table, rather like the periodic table of elements, but mathematicians have found 26 exceptions. The biggest of these was dubbed the Monster--a giant snowflake in 196,884 dimensions. Ronan, who personally knows the individuals now working on this problem, reveals how the Monster was only dimly seen at first. As more and more mathematicians became involved, the Monster became clearer, and it was found to be not monstrous but a beautiful form that pointed out deep connections between symmetry, string theory, and the very fabric and form of the universe. This story of discovery involves extraordinary characters, and Mark Ronan brings these people to life, vividly recreating the growing excitement of what became the biggest joint project ever in the field of mathematics. Vibrantly written, Symmetry and the Monster is a must-read for all fans of popular science--and especially readers of such books as Fermat's Last Theorem.

    What will it take to turn this opportunity into reality in every classroom, school, and district? Continuing its tradition of mathematics education leadership, NCTM has defined and described the principles and actions, including specific teaching practices, that are essential for a high-quality mathematics education for all students. Principles to Actions: Ensuring Mathematical Success for All offers guidance to teachers, specialists, coaches, administrators, policymakers, and parents: Builds on the Principles articulated in Principles and Standards for School Mathematics to present six updated Guiding Principles for School MathematicsSupports the first Guiding Principle, Teaching and Learning, with eight essential, research-based Mathematics Teaching PracticesDetails the five remaining Principles--the Essential Elements that support Teaching and Learning as embodied in the Mathematics Teaching PracticesIdentifies obstacles and unproductive and productive beliefs that all stakeholders must recognize, as well as the teacher and student actions that characterize effective teaching and learning aligned with the Mathematics Teaching PracticesWith Principles to Actions, NCTM takes the next step in shaping the development of high-quality standards throughout the United States, Canada, and worldwide.

    This book reveals how anyone can begin to visualize the enigmatic 'imaginary numbers' that first baffled mathematicians in the 16th century.

     Building Thinking Classrooms in Mathematics, Grades K-12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guideProvides the what, why, and how of each practice Includes firsthand accounts of how these practices foster thinking Offers a plethora of macro moves, micro moves, and rich tasks to get started

    Shilov, Professor of Mathematics at the Moscow State University, covers determinants, linear spaces, systems of linear equations, linear functions of a vector argument, coordinate transformations, the canonical form of the matrix of a linear operator, bilinear and quadratic forms, Euclidean spaces, unitary spaces, quadratic forms in Euclidean and unitary spaces, finite-dimensional algebras and their representations, with an appendix on categories of finite-dimensional spaces.The author begins with elementary material and goes easily into the advanced areas, covering all the standard topics of an advanced undergraduate or beginning graduate course. The material is presented in a consistently clear style. Problems are included, with a full section of hints and answers in the back.Keeping in mind the unity of algebra, geometry and analysis in his approach, and writing practically for the student who needs to learn techniques, Professor Shilov has produced one of the best expositions on the subject. Because it contains an abundance of problems and examples, the book will be useful for self-study as well as for the classroom.

    If students are to thrive in their academic and 21st century careers, then independent and creative thinking hold the highest currency. The authors explain in detail how to add these new components of literacy:Solution Fluency Information Fluency Creativity Fluency Collaboration Fluency Students must master a completely different set of skills to succeed in a culture of technology-driven automation, abundance, and access to global labor markets. The authors present an effective framework for integrating comprehensive literacy or fluency into the traditional curriculum.

    His Contemporary Abstract Algebra, 6/e, includes challenging topics in abstract algebra as well as numerous figures, tables, photographs, charts, biographies, computer exercises, and suggested readings that give the subject a current feel and makes the content interesting and relevant for students.

    An extremely clever account.--The New Yorker.

    Thesis involves having creative ideas, working out how to organize them, writing up from plans, upgrading text, and finishing it speedily and to a good standard. It also involves being examined and getting work published. This book provides a huge range of ideas and suggestions to help Ph.D. candidates cope with both the intellectual issues involved and the practical difficulties of organizing their work effectively.