Intuition and computational abilities are stressed. Original material on DE and multiple integrals has been expanded.

    In this unconventional introduction, physicist Leonard Susskind and hacker-scientist George Hrabovsky offer a first course in physics and associated math for the ardent amateur. Unlike most popular physics books—which give readers a taste of what physicists know but shy away from equations or math—Susskind and Hrabovsky actually teach the skills you need to do physics, beginning with classical mechanics, yourself. Based on Susskind's enormously popular Stanford University-based (and YouTube-featured) continuing-education course, the authors cover the minimum—the theoretical minimum of the title—that readers need to master to study more advanced topics.An alternative to the conventional go-to-college method, The Theoretical Minimum provides a tool kit for amateur scientists to learn physics at their own pace.

    Organized around the central concept of a vector space, the book includes numerous physical applications in the body of the text as well as many problems of a physical nature. It is also one of the purposes of this book to introduce the physicist to the language and style of mathematics as well as the content of those particular subjects with contemporary relevance in physics.Chapters 1 and 2 are devoted to the mathematics of classical physics. Chapters 3, 4 and 5 — the backbone of the book — cover the theory of vector spaces. Chapter 6 covers analytic function theory. In chapters 7, 8, and 9 the authors take up several important techniques of theoretical physics — the Green's function method of solving differential and partial differential equations, and the theory of integral equations. Chapter 10 introduces the theory of groups. The authors have included a large selection of problems at the end of each chapter, some illustrating or extending mathematical points, others stressing physical application of techniques developed in the text.Essentially self-contained, the book assumes only the standard undergraduate preparation in physics and mathematics, i.e. intermediate mechanics, electricity and magnetism, introductory quantum mechanics, advanced calculus and differential equations. The text may be easily adapted for a one-semester course at the graduate or advanced undergraduate level.

    Who better to guide writers striving to succeed in the profession than a group of award-winning independent journalists with a combined total of 225 years of experience? From Thomas Hayden's chapter on the perfect pitch to Emma Maris's advice on book proposals to Mark Schrope's essential information on contracts, the members of SciLance give writers of all experience levels the practical information they need to succeed, as either a staffer or a freelancer. Going beyond craft, The Science Writer's Handbook also tackles issues such as creating productive office space, balancing work and family, and finding lasting career satisfaction. It is the ultimate guide for anyone looking to prosper as a science writer in the new era of publishing.

    Dweck, Ph.D., discovered a simple but groundbreaking idea: the power of mindset. In this brilliant book, she shows how success in school, work, sports, the arts, and almost every area of human endeavor can be dramatically influenced by how we think about our talents and abilities. People with a fixed mindset — those who believe that abilities are fixed — are less likely to flourish than those with a growth mindset — those who believe that abilities can be developed. Mindset reveals how great parents, teachers, managers, and athletes can put this idea to use to foster outstanding accomplishment.In this edition, Dweck offers new insights into her now famous and broadly embraced concept. She introduces a phenomenon she calls false growth mindset and guides people toward adopting a deeper, truer growth mindset. She also expands the mindset concept beyond the individual, applying it to the cultures of groups and organizations. With the right mindset, you can motivate those you lead, teach, and love — to transform their lives and your own.

    The only thing that's certain is that new challenges and opportunities will emerge that are virtually unimaginable today. How can we know which skills will be required to succeed?In Five Minds for the Future, bestselling author Howard Gardner shows how we will each need to master "five minds" that the fast-paced future will demand:· The disciplined mind, to learn at least one profession, as well as the major thinking (science, math, history, etc.) behind it· The synthesizing mind, to organize the massive amounts of information and communicate effectively to others· The creating mind, to revel in unasked questions—and uncover new phenomena and insightful apt answers· The respectful mind, to appreciate the differences between human beings - and understand and work with all persons· The ethical mind, to fulfill one's responsibilities as both a worker and a citizenWithout these "minds," we risk being overwhelmed by information, unable to succeed in the workplace, and incapable of the judgment needed to thrive both personally and professionally.Complete with a substantial new introduction, Five Minds for the Future provides valuable tools for those looking ahead to the next generation of leaders - and for all of us striving to excel in a complex world.Howard Gardner—cited by Foreign Policy magazine as one of the one hundred most influential public intellectuals in the world, and a MacArthur Fellowship recipient—is the Hobbs Professor of Cognition and Education at the Harvard Graduate School of Education.

    It was his feeling that a proper analysis of the use of language would clarify concepts and lead to the solution of (what seem to be) philosophical problems.Sometimes, Wittgenstein's expository method is pre-Socratic: a flow of disconnected statements, not unlike Heraclitean fragments, that range from clear aphorisms to cryptic oracles. Elsewhere, there are brief Socratic dialogues with imaginary persons, opponents of equally severe seriousness, representatives of the other half of Wittgenstein strove for total clarity of language as a means of solving philosophical problems, but some of his most meaningful statements here are expressed suggestively, subjectively, poetically.

    Pose the same question to students and many will use words like "boring", "useless", and even "humiliating". In  Becoming the Math Teacher You Wish You'd Had , author Tracy Zager helps teachers close this gap by making math class more like mathematics. Tracy has spent years working with highly skilled math teachers in a diverse range of settings and grades. You'll find this book jam-packed with new ideas from these vibrant classrooms.  How to Teach Student-Centered Mathematics: Zager outlines a problem-solving approach to mathematics for elementary and middle school educators looking for new ways to inspire student learningBig Ideas, Practical Application: This math book contains dozens of practical and accessible teaching techniques that focus on fundamental math concepts, including strategies that simulate connection of big ideas; rich tasks that encourage students to wonder, generalize, hypothesize, and persevere; and routines to teach students how to collaborateKey Topics for Elementary and Middle School Teachers:  Becoming the Math Teacher You Wish You'd Had  offers fresh perspectives on common challenges, from formative assessment to classroom management for elementary and middle school teachersAll teachers can move towards increasingly authentic and delightful mathematics teaching and learning. This important book helps develop instructional techniques that will make the math classes we teach so much better than the math classes we took.

    Becoming a Student-Ready College flips the college readiness conversation to provide a new perspective on creating institutional value and facilitating student success. Instead of focusing on student preparedness for college (or lack thereof), this book asks the more pragmatic question of what are colleges and universities doing to prepare for the students who are entering their institutions? What must change in an institution's policies, practices, and culture in order to be student-ready?Clear and concise, this book is packed with insightful discussion and practical strategies for achieving your ambitious student success goals. These ideas for redesigning practices and policies provide more than food for thought--they offer a real-world framework for real institutional change. You'll learn:How educators can acknowledge their own biases and assumptions about underserved students in order to allow for change New ways to advance student learning and success How to develop and value student assets and social capital Strategies and approaches for creating a new student-focused culture of leadership at every level To truly become student-ready, educators must make difficult decisions, face the pressures of accountability, and address their preconceived notions about student success head-on. Becoming a Student-Ready College provides a reality check based on today's higher education environment.

     The time-tested secrets this book discloses include Cicero’s three-step strategy for moving an audience to action—as well as Honest Abe’s Shameless Trick of lowering an audience’s expectations by pretending to be unpolished. But it’s also replete with contemporary techniques such as politicians’ use of “code” language to appeal to specific groups and an eye-opening assortment of popular-culture dodges—including The Yoda Technique, The Belushi Paradigm, and The Eddie Haskell Ploy. Whether you’re an inveterate lover of language books or just want to win a lot more anger-free arguments on the page, at the podium, or over a beer, Thank You for Arguing is for you. Written by one of today’s most popular language mavens, it’s warm, witty, erudite, and truly enlightening. It not only teaches you how to recognize a paralipsis and a chiasmus when you hear them, but also how to wield such handy and persuasive weapons the next time you really, really want to get your own way.

    Yet brain scientists have uncovered details every business leader, parent, and teacher should know—like the need for physical activity to get your brain working its best.How do we learn? What exactly do sleep and stress do to our brains? Why is multi-tasking a myth? Why is it so easy to forget—and so important to repeat new knowledge? Is it true that men and women have different brains?In Brain Rules, Dr. John Medina, a molecular biologist, shares his lifelong interest in how the brain sciences might influence the way we teach our children and the way we work. In each chapter, he describes a brain rule—what scientists know for sure about how our brains work—and then offers transformative ideas for our daily lives.Medina’s fascinating stories and infectious sense of humor breathe life into brain science. You’ll learn why Michael Jordan was no good at baseball. You’ll peer over a surgeon’s shoulder as he proves that most of us have a Jennifer Aniston neuron. You’ll meet a boy who has an amazing memory for music but can’t tie his own shoes.You will discover how:Every brain is wired differentlyExercise improves cognitionWe are designed to never stop learning and exploringMemories are volatileSleep is powerfully linked with the ability to learnVision trumps all of the other sensesStress changes the way we learnIn the end, you’ll understand how your brain really works—and how to get the most out of it.

    Pure mathematics, the area of Bourbaki's work, seems on the surface to be an abstract field of human study with no direct connection with the real world. In reality, however, it is closely intertwined with the general culture that surrounds it. Major developments in mathematics have often followed important trends in popular culture; developments in mathematics have acted as harbingers of change in the surrounding human culture. The seeds of change, the beginnings of the revolution that swept the Western world in the early decades of the twentieth century — both in mathematics and in other areas — were sown late in the previous century. This is the story both of Bourbaki and the world that created him in that time. It is the story of an elaborate intellectual joke — because Bourbaki, one of the foremost mathematicians of his day — never existed.

    The first part of the book defines and describes thirty-seven threshold concepts of the discipline in entries written by some of the field’s most active researchers and teachers, all of whom participated in a collaborative wiki discussion guided by the editors. These entries are clear and accessible, written for an audience of writing scholars, students, and colleagues in other disciplines and policy makers outside the academy. Contributors describe the conceptual background of the field and the principles that run throughout practice, whether in research, teaching, assessment, or public work around writing. Chapters in the second part of the book describe the benefits and challenges of using threshold concepts in specific sites—first-year writing programs, WAC/WID programs, writing centers, writing majors—and for professional development to present this framework in action.Naming What We Know opens a dialogue about the concepts that writing scholars and teachers agree are critical and about why those concepts should and do matter to people outside the field.

    According to the author, these trends sought to create a unified conceptual apparatus as a common basis for the whole of human knowledge.Because these new developments in logical thought tended to perfect and sharpen the deductive method, an indispensable tool in many fields for deriving conclusions from accepted assumptions, the author decided to widen the scope of the work. In subsequent editions he revised the book to make it also a text on which to base an elementary college course in logic and the methodology of deductive sciences. It is this revised edition that is reprinted here.Part One deals with elements of logic and the deductive method, including the use of variables, sentential calculus, theory of identity, theory of classes, theory of relations and the deductive method. The Second Part covers applications of logic and methodology in constructing mathematical theories, including laws of order for numbers, laws of addition and subtraction, methodological considerations on the constructed theory, foundations of arithmetic of real numbers, and more. The author has provided numerous exercises to help students assimilate the material, which not only provides a stimulating and thought-provoking introduction to the fundamentals of logical thought, but is the perfect adjunct to courses in logic and the foundation of mathematics.

    The author has sought to utlilize the technology now available for the teaching and learning of calculus. The hand-held graphics calculator is one such form of technology that has been integrated into the book. Topics in algebra, trigonometry, and analytical geometry appear in the Appendix.