A Radical Approach to Real Analysis

A Radical Approach to Real Analysis PDF Author: David Bressoud
Publisher: American Mathematical Society
ISBN: 1470469049
Category : Mathematics
Languages : en
Pages : 339

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Book Description
In this second edition of the MAA classic, exploration continues to be an essential component. More than 60 new exercises have been added, and the chapters on Infinite Summations, Differentiability and Continuity, and Convergence of Infinite Series have been reorganized to make it easier to identify the key ideas. A Radical Approach to Real Analysis is an introduction to real analysis, rooted in and informed by the historical issues that shaped its development. It can be used as a textbook, as a resource for the instructor who prefers to teach a traditional course, or as a resource for the student who has been through a traditional course yet still does not understand what real analysis is about and why it was created. The book begins with Fourier's introduction of trigonometric series and the problems they created for the mathematicians of the early 19th century. It follows Cauchy's attempts to establish a firm foundation for calculus and considers his failures as well as his successes. It culminates with Dirichlet's proof of the validity of the Fourier series expansion and explores some of the counterintuitive results Riemann and Weierstrass were led to as a result of Dirichlet's proof.

A Radical Approach to Real Analysis

A Radical Approach to Real Analysis PDF Author: David Bressoud
Publisher: American Mathematical Society
ISBN: 1470469049
Category : Mathematics
Languages : en
Pages : 339

Get Book Here

Book Description
In this second edition of the MAA classic, exploration continues to be an essential component. More than 60 new exercises have been added, and the chapters on Infinite Summations, Differentiability and Continuity, and Convergence of Infinite Series have been reorganized to make it easier to identify the key ideas. A Radical Approach to Real Analysis is an introduction to real analysis, rooted in and informed by the historical issues that shaped its development. It can be used as a textbook, as a resource for the instructor who prefers to teach a traditional course, or as a resource for the student who has been through a traditional course yet still does not understand what real analysis is about and why it was created. The book begins with Fourier's introduction of trigonometric series and the problems they created for the mathematicians of the early 19th century. It follows Cauchy's attempts to establish a firm foundation for calculus and considers his failures as well as his successes. It culminates with Dirichlet's proof of the validity of the Fourier series expansion and explores some of the counterintuitive results Riemann and Weierstrass were led to as a result of Dirichlet's proof.

Generous Thinking

Generous Thinking PDF Author: Kathleen Fitzpatrick
Publisher: Johns Hopkins University Press
ISBN: 1421429462
Category : Education
Languages : en
Pages : 277

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Book Description
Can the university solve the social and political crisis in America? Higher education occupies a difficult place in twenty-first-century American culture. Universities—the institutions that bear so much responsibility for the future health of our nation—are at odds with the very publics they are intended to serve. As Kathleen Fitzpatrick asserts, it is imperative that we re-center the mission of the university to rebuild that lost trust. Critical thinking—the heart of what academics do—can today often negate, refuse, and reject new ideas. In an age characterized by rampant anti-intellectualism, Fitzpatrick charges the academy with thinking constructively rather than competitively, building new ideas rather than tearing old ones down. She urges us to rethink how we teach the humanities and to refocus our attention on the very human ends—the desire for community and connection—that the humanities can best serve. One key aspect of that transformation involves fostering an atmosphere of what Fitzpatrick dubs "generous thinking," a mode of engagement that emphasizes listening over speaking, community over individualism, and collaboration over competition. Fitzpatrick proposes ways that anyone who cares about the future of higher education can work to build better relationships between our colleges and universities and the public, thereby transforming the way our society functions. She encourages interested stakeholders to listen to and engage openly with one another's concerns by reading and exploring ideas together; by creating collective projects focused around common interests; and by ensuring that our institutions of higher education are structured to support and promote work toward the public good. Meditating on how and why we teach the humanities, Generous Thinking is an audacious book that privileges the ability to empathize and build rather than simply tear apart.

The Radical Imagination

The Radical Imagination PDF Author: Doctor Alex Khasnabish
Publisher: Bloomsbury Publishing
ISBN: 1780329032
Category : Political Science
Languages : en
Pages : 282

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Book Description
The idea of the imagination is as evocative as it is elusive. Not only does the imagination allow us to project ourselves beyond our own immediate space and time, it also allows us to envision the future, as individuals and as collectives. The radical imagination, then, is that spark of difference, desire and discontent that can be fanned into the flames of social change. Yet what precisely is the imagination and what might make it 'radical'? How can it be fostered and cultivated? How can it be studied and what are the possibilities and risks of doing so? This book seeks to answer these questions at a crucial time. As we enter into a new cycle of struggles marked by a worldwide crisis of social reproduction, scholar-activists Max Haiven and Alex Khasnabish explore the processes and possibilities for cultivating the radical imagination in dark times. A lively and crucial intervention in radical politics, social research and social change, and the collective visions and cultures that inspire them.

Create, Innovate, and Serve

Create, Innovate, and Serve PDF Author: Kathleen Campana
Publisher: American Library Association
ISBN: 0838917968
Category : Language Arts & Disciplines
Languages : en
Pages : 390

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Book Description
Emphasizing an inclusive approach to programming that incorporates research-based theories and frameworks, this text will be a valuable orientation tool for LIS students as well as a holistic guide for current children and youth services professionals.

Tempered Radicals

Tempered Radicals PDF Author: Debra Meyerson
Publisher: Harvard Business School Press
ISBN: 9781591393252
Category : Business & Economics
Languages : en
Pages : 221

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Book Description
This text explores the experiences of tempered radicals. These are people who want to become valued and successful members of their organisations without selling out on who they are and what they believe in.

The New Science of Radical Innovation

The New Science of Radical Innovation PDF Author: Sunnie Giles
Publisher: BenBella Books
ISBN: 1946885231
Category : Business & Economics
Languages : en
Pages : 239

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Book Description
Discover a groundbreaking, science-based approach to leadership that catalyzes radical innovation for dramatic—and permanent—results. Today's business environment is undergoing a revolutionary transformation, defined by extraordinary levels of VUCA (volatility, uncertainty, complexity, and ambiguity). But most traditional companies are still built for the old-world economy when the new mandate from VUCA requires a fresh leadership approach. Dr. Sunnie Giles is a new generation expert on radical innovation who takes the mystery out of what radical innovation is and transforms organizations into ones fit to deliver radical innovation. Her in-depth research reveals that applying concepts from neuroscience, complex systems approach, and quantum mechanics can help leaders catalyze radical innovation rapidly. Giles's breakthrough leadership development program, called Quantum Leadership, is the key to survival in the today's VUCA market, with huge consequences for organizations' bottom lines. The New Science of Radical Innovation provides profound insights and actionable tools to help you accelerate the speed of execution, balance between team cohesion and self-organization, and tap into the power of collective wisdom. Inside, discover how to develop the six leadership competencies you need to catalyze radical innovation in your organization: • Self Management • Providing Safety • Creating Differentiation • Strengthening Connection • Facilitating Learning • Stimulating Radical Innovation This book will help you redefine how value is created in your industry.

Community Development

Community Development PDF Author: Ledwith, Margaret
Publisher: Policy Press
ISBN: 1447348176
Category : Social Science
Languages : en
Pages : 302

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Book Description
Community development’s social justice principles are under threat from the current resurgence of far-Right politics. The dangerous escalation of economic inequalities calls for new ideas on power and new approaches to practice. Rooted in radical community development’s strong theoretical foundation in Freire and Gramsci, the body of knowledge is expanded to make sense of these challenging times, introducing exciting new ideas for those working in this field. Written in an engaging style, linking theory to action using cartoons, international case studies and key concept summaries, the fully updated third edition of this bestselling book offers an inspiring approach to practice for all those committed to social and environmental justice. It will be an invaluable resource for students in community development and related disciplines.

Radical Middle

Radical Middle PDF Author: Mark Satin
Publisher: Basic Books
ISBN: 9780813341903
Category : History
Languages : en
Pages : 0

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Book Description
Today, in growing numbers, from kitchen tables to nonprofit organizations to corporate boards, Americans are turning away from the bickering and division of politics as usual and turning toward a new politics-what activist-turned-attorney Mark Satin christens here as "radical middle" politics.Instead of the usual blame games, the radical middle appreciates the genuine and often very reasonable concerns of the left and right, which many of those disillusioned with political partisanship will find refreshing. As the nation heads into the 2004 presidential election, the radical middle dares to propose bold and innovative solutions to problems that affect us all, from health care reform to corporate accountability to the fight against terrorism.Radical Middle offers an innovative yet practical handbook that addresses many of the most vexing social problems of our time. A whole new movement is on the march-the radical middle movement-and this is its manifesto. It shows how to understand politics, how to quiet the din of overheated rhetoric, and how to make modern politics reflect the true expression of rational and creative people everywhere.

Radical Product Thinking

Radical Product Thinking PDF Author: R. Dutt
Publisher: Berrett-Koehler Publishers
ISBN: 1523093331
Category : Business & Economics
Languages : en
Pages : 245

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Book Description
Iteration rules product development, but it isn't enough to produce dramatic results. This book champions Radical Product Thinking, a systematic methodology for building visionary, game-changing products. In the last decade, we've learned to harness the power of iteration to innovate faster—we've invested in a fast car, but our ability to set a clear destination and navigate to it hasn't kept up. When we iterate without a clear vision or strategy, our products become bloated, fragmented, and driven by irrelevant metrics. They catch “product diseases” that often kill innovation. Radical Product Thinking (RPT) gives organizations a repeatable model for building world-changing products. The key? Being vision-driven instead of iteration-led. R. Dutt guides readers through the five elements of the methodology (vision, strategy, prioritization, execution and measurement, and culture) to develop a clear process for translating vision into reality, and turning RPT skills into muscle memory. This book offers refreshing solutions to the shortcomings of our current model for product development; be prepared to toss out everything you know about a good vision and learn how to measure progress to create revolutionary products. The best part? You don't have to be a natural-born visionary to produce extraordinary results.

Radical Help

Radical Help PDF Author: Hilary Cottam
Publisher: Hachette UK
ISBN: 0349009082
Category : History
Languages : en
Pages : 200

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Book Description
How should we live: how should we care for one another; grow our capabilities to work, to learn, to love and fully realise our potential? This exciting and ambitious book shows how we can re-design the welfare state for this century. The welfare state was revolutionary: it lifted thousands out of poverty, provided decent homes, good education and security. But it is out of kilter now: an elaborate and expensive system of managing needs and risks. Today we face new challenges. Our resources have changed. Hilary Cottam takes us through five 'Experiments' to show us a new design. We start on a Swindon housing estate where families who have spent years revolving within our current welfare systems are supported to design their own way out. We spend time with young people who are helped to make new connections - with radical results. We turn to the question of good health care and then to the world of work and see what happens when people are given different tools to make change. Then we see those over sixty design a new and affordable system of support. At the heart of this way of working is human connection. Upending the current crisis of managing scarcity, we see instead that our capacities for the relationships that can make the changes are abundant. We must work with individuals, families and communities to grow the core capabilities we all need to flourish. Radical Help describes the principles behind the approach, the design process that makes the work possible and the challenges of transition. It is bold - and above all, practical. It is not a book of dreams. It is about concrete new ways of organising that already have been developing across Britain. Radical Help creates a new vision and a radically different approach that can take care of us once more, from cradle to grave.