PDF Mathematics Inside the Black Box Download
- Author: Dylan Wiliam
- Publisher: Granada Learning
- ISBN: 9780708716878
- Category : Juvenile Nonfiction
- Languages : en
- Pages : 28
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Are some areas of fast Fourier transforms still unclear to you? Do the notation and vocabulary seem inconsistent? Does your knowledge of their algorithmic aspects feel incomplete? The fast Fourier transform represents one of the most important advancements in scientific and engineering computing. Until now, however, treatments have been either brief, cryptic, intimidating, or not published in the open literature. Inside the FFT Black Box brings the numerous and varied ideas together in a common notational framework, clarifying vague FFT concepts. Examples and diagrams explain algorithms completely, with consistent notation. This approach connects the algorithms explicitly to the underlying mathematics. Reviews and explanations of FFT ideas taken from engineering, mathematics, and computer science journals teach the computational techniques relevant to FFT. Two appendices familiarize readers with the design and analysis of computer algorithms, as well. This volume employs a unified and systematic approach to FFT. It closes the gap between brief textbook introductions and intimidating treatments in the FFT literature. Inside the FFT Black Box provides an up-to-date, self-contained guide for learning the FFT and the multitude of ideas and computing techniques it employs.
Inside The Black Box The Simple Truth About Quantitative Trading Rishi K Narang Praise for Inside the Black Box "In Inside the Black Box: The Simple Truth About Quantitative Trading, Rishi Narang demystifies quantitative trading. His explanation and classification of alpha will enlighten even a seasoned veteran." ?Blair Hull, Founder, Hull Trading & Matlock Trading "Rishi provides a comprehensive overview of quantitative investing that should prove useful both to those allocating money to quant strategies and those interested in becoming quants themselves. Rishi's experience as a well-respected quant fund of funds manager and his solid relationships with many practitioners provide ample useful material for his work." ?Peter Muller, Head of Process Driven Trading, Morgan Stanley "A very readable book bringing much needed insight into a subject matter that is not often covered. Provides a framework and guidance that should be valuable to both existing investors and those looking to invest in this area for the first time. Many quants should also benefit from reading this book." ?Steve Evans, Managing Director of Quantitative Trading, Tudor Investment Corporation "Without complex formulae, Narang, himself a leading practitioner, provides an insightful taxonomy of systematic trading strategies in liquid instruments and a framework for considering quantitative strategies within a portfolio. This guide enables an investor to cut through the hype and pretense of secrecy surrounding quantitative strategies." ?Ross Garon, Managing Director, Quantitative Strategies, S.A.C. Capital Advisors, L.P. "Inside the Black Box is a comprehensive, yet easy read. Rishi Narang provides a simple framework for understanding quantitative money management and proves that it is not a black box but rather a glass box for those inside." ?Jean-Pierre Aguilar, former founder and CEO, Capital Fund Management "This book is great for anyone who wants to understand quant trading, without digging in to the equations. It explains the subject in intuitive, economic terms." ?Steven Drobny, founder, Drobny Global Asset Management, and author, Inside the House of Money "Rishi Narang does an excellent job demystifying how quants work, in an accessible and fun read. This book should occupy a key spot on anyone's bookshelf who is interested in understanding how this ever increasing part of the investment universe actually operates." ?Matthew S. Rothman, PhD, Global Head of Quantitative Equity Strategies Barclays Capital "Inside the Black Box provides a comprehensive and intuitive introduction to "quant" strategies. It succinctly explains the building blocks of such strategies and how they fit together, while conveying the myriad possibilities and design details it takes to build a successful model driven investment strategy." ?Asriel Levin, PhD, Managing Member, Menta Capital, LLC
The future of Assessment for Learning 20 years after Inside the Black Box Twenty years after the publication of Inside the Black Box, the landmark review of formative classroom assessment, international education experts Christine Harrison and Margaret Heritage tackle assessment for learning (AfL) anew, with fresh insights gained from two decades of research, theory, and classroom practice. The Power of Assessment for Learning: Twenty Years of Research and Practice in UK & US Classrooms examines the practices and processes of formative assessment over time in both countries, evaluates the benefits accrued to teaching and learning, and considers future developments in growing and sustaining AfL practice. It features: Key AfL ideas, approaches, and supports Vignettes of classroom practice that illustrate AfL in action in the U.K. and U.S. Practice-based evidence to enrich understanding of AfL from both the teacher’s and the student’s perspective Focused on student-centeredness and rich with classroom examples, this book is a ‘sounding board’ for educators to explore and reflect on their own AfL practices and beliefs.
This book is a critically important contribution to the work underway to transform schooling for students who have historically been denied access to a quality education, specifically African American children. The first section of the book provides some historical perspective critical to understanding the current state of education in the U.S., specifically for the education of African American children. The following sections include chapters on policy, learning, ethnomathematics, student identity, and teacher preparation as it relates to the mathematical education of Black children. Through offering “counternarratives” about mathematically successful Black youth, advocating for a curriculum that is grounded in African American culture and ways of thinking, providing shining examples of the brilliance of Blacks students, and promoting high expectations for all rather than situating students as the problem, the authors of this book provide powerful insights related to the teaching and learning of mathematics for African American students. As is made evident in this book, effective teaching involves much more than just engaging students in inquiry-based pedagogy (Kitchen, 2003). The chapters offered in this book demonstrate how mathematics instruction for African American students needs to take into account historical marginalization and present-day policies that do harm to Black students (Kunjufu, 2005). Empowering mathematics instruction for African American students needs to take into consideration and promote students’ cultural, spiritual, and historical identities. Furthermore, mathematics instruction for African American students should create opportunities for students to express themselves and the needs of their communities as a means to promote social justice both within their classrooms and communities.
Schools for Thought provides a straightforward, general introduction to cognitive research and illustrates its importance for educational change. If we want to improve educational opportunities and outcomes for all children, we must start applying what we know about mental functioning--how children think, learn, and remember in our schools. We must apply cognitive science in the classroom. Schools for Thought provides a straightforward, general introduction to cognitive research and illustrates its importance for educational change. Using classroom examples, Bruer shows how applying cognitive research can dramatically improve students' transitions from lower-level rote skills to advanced proficiency in reading, writing, mathematics, and science. Cognitive research, he points out, is also beginning to suggest how we might better motivate students, design more effective tools for assessing them, and improve the training of teachers. He concludes with a chapter on how effective school reform demands that we expand our understanding of teaching and learning and that we think about education in new ways. Debates and discussions about the reform of American education suffer from a lack of appreciation of the complexity of learning and from a lack of understanding about the knowledge base that is available for the improvement of educational practice. Politicians, business leaders, and even many school superintendents, principals, and teachers think that educational problems can be solved by changing school management structures or by creating a market in educational services. Bruer argues that improvement depends instead on changing student-teacher interactions. It is these changes, guided by cognitive research, that will create more effective classroom environments. A Bradford Book
This book offers a complete and streamlined treatment of the central principles of abelian harmonic analysis: Pontryagin duality, the Plancherel theorem and the Poisson summation formula, as well as their respective generalizations to non-abelian groups, including the Selberg trace formula. The principles are then applied to spectral analysis of Heisenberg manifolds and Riemann surfaces. This new edition contains a new chapter on p-adic and adelic groups, as well as a complementary section on direct and projective limits. Many of the supporting proofs have been revised and refined. The book is an excellent resource for graduate students who wish to learn and understand harmonic analysis and for researchers seeking to apply it.