Author: Lê Nguyên Hoang Publisher: Chapman & Hall/CRC ISBN: 9780367428150 Category : Bayesian statistical decision theory Languages : en Pages : 438
Book Description
Foreword / Gilles Dowek -- On a transformative journey -- Bayes theorem -- Logically speaking... -- Let's generalize! -- All hail prejudices -- The Bayesian prophets -- Solomonoff's demon -- Can you keep a secret? -- Game, set and math -- Will Darwin select Bayes? -- Exponentially counter-intuitive -- Ockham cuts to the chase -- Facts are misleading -- Quick and not too dirty -- Wish me luck -- Down memory lane -- Let's sleep on it -- The unreasonable effectiveness of abstraction -- The Bayesian brain -- It's all fictions -- Exploring the origins of beliefs -- Beyond Bayesianism.
Author: Lê Nguyên Hoang Publisher: CRC Press ISBN: 1000063232 Category : Mathematics Languages : en Pages : 438
Book Description
The Equation of Knowledge: From Bayes' Rule to a Unified Philosophy of Science introduces readers to the Bayesian approach to science: teasing out the link between probability and knowledge. The author strives to make this book accessible to a very broad audience, suitable for professionals, students, and academics, as well as the enthusiastic amateur scientist/mathematician. This book also shows how Bayesianism sheds new light on nearly all areas of knowledge, from philosophy to mathematics, science and engineering, but also law, politics and everyday decision-making. Bayesian thinking is an important topic for research, which has seen dramatic progress in the recent years, and has a significant role to play in the understanding and development of AI and Machine Learning, among many other things. This book seeks to act as a tool for proselytising the benefits and limits of Bayesianism to a wider public. Features Presents the Bayesian approach as a unifying scientific method for a wide range of topics Suitable for a broad audience, including professionals, students, and academics Provides a more accessible, philosophical introduction to the subject that is offered elsewhere
Author: Sander Bais Publisher: Amsterdam University Press ISBN: 9053567445 Category : Equations, Theory of Languages : en Pages : 96
Book Description
Annotation. For thousands of years mankind has tried to understand nature. Exploring the world on all scales with instruments of ever more ingenuity, we have been able to unravel some of the great mysteries that surround us. While collecting an overwhelming multitude of observational facts, we discovered fundamental laws that govern the structure and evolution of physical reality. We know that nature speaks to us in the language of mathematics. In this language most of our basic understanding of the physical world can be expressed in an unambiguous and concise way. The most artificial language turns out to be the most natural of all. The laws of nature correspond to equations. These equations are the icons of knowledge that mark crucial turning points in our thinking about the world we happen to live in. They form the symbolic representation of most of what we know, and as such constitute an important and robust part of our culture. Publication coincides with the World Year of Physics: "http://www.wyp2005.nl">www.wyp2005.nl "This beautifully designed book deserves a place on the coffee table .[..] Sander Bais confides the reader in the exciting secrets of the laws of nature, and does so in a clear, surprisingly poetic language." "The Equations is a catalogue. A catalogue that belongs to an exhibition of 17 typographic works of art - which gallery will frame them and hang them on the wall? The formulas, displayed in white symbols on a bright red background, are of an untouchable beauty ." 'Untouchable icons' - NRC Handelsblad "The Equations is an absolute feast for everyone who is interested in what physicists have to say about the structure of the world and the beauty that emanates from this. It is a jewel of knowledge, written with love for the field but also with a great compassion for the reader." 'Knowledge smoothly surpasses the fear of formulas' - de Volkskrant This title can be previewed in Google Books - http://books.google.com/books?vid=ISBN9789053567449.
Author: Susan Janssen Creighton Publisher: Corwin Press ISBN: 1483385965 Category : Education Languages : en Pages : 222
Book Description
Make formative assessment work for you—and your math students! Finally, formative assessment that adds up! Bringing Math Students Into the Formative Assessment Equation is the ultimate resource for helping teachers implement formative assessment in the middle school mathematics classroom. And it’s much more than that. With this research-based, teacher-tested guide, you won’t just learn effective teaching strategies—you’ll turn your students into self-regulated learners. They’ll monitor and assess their own progress—and communicate to you about it! Features include: A clear and manageable six-aspect instructional model Detailed strategies for helping students own their successes Real-life examples from middle school mathematics teachers Useful resources and a companion website to help you implement formative assessment in your classroom Formative assessment isn’t just for teachers anymore. With the help of this essential resource, you’ll work together with your students toward a common goal of math success. "This book is outstanding. I would recommend it to any math educator. The depth of research integrated into practice is extensive and, as a result, it is the most practical book I have come across related to formative assessment and mathematics The self-regulation aspects, as well as the ownership and involvement emphasized in the book, went beyond the traditional cognitive strategies endorsed in most books." Marc Simmons, Principal Ilwaco Middle School, Ocean Beach School District, Long Beach, WA "The ideas in this book are brought to life with examples of teachers and students in the classroom. The teacher voices, comments, and quotes lend credibility and are a big component of the book’s strengths as well as the visuals and graphics." Rita Tellez, Math Coordinator Ysleta Independent School District, El Paso, TX
Author: Nick Powdthavee Publisher: Icon Books Ltd ISBN: 1848312245 Category : Social Science Languages : en Pages : 264
Book Description
Why is marriage worth £200,000 a year? Why will having children make you unhappy? Why does happiness from winning the lottery take two years to arrive? Why does time heal the pain of divorce or the death of a loved one – but not unemployment? Everybody wants to be happy. But how much happiness – precisely – will each life choice bring? Should I get married? Am I really going to feel happy about the career that I picked? How can we decide not only which choice is better for us, but how much it's better for us? The result of new, unique research, The Happiness Equation brings to a general readership for the first time the new science of happiness economics. It describes how we can measure emotional reactions to different life experiences and present them in ways we can relate to. How, for instance, monetary values can be put on things that can't be bought or sold in the market – such as marriage, friendship, even death – so that we can objectively rank them in order of preference. It also explains why some things matter more to our happiness than others (like why seeing friends is worth more than a Ferrari) while others are worth almost nothing (like sunny weather). Nick Powdthavee – whose work on happiness has been discussed on both the Undercover Economist and Freakanomics blogs – brings cutting-edge research on how we value our happiness to a general audience, with a style that wears its learning lightly and is a joy to read.
Author: Marc Peter Deisenroth Publisher: Cambridge University Press ISBN: 1108569323 Category : Computers Languages : en Pages : 392
Book Description
The fundamental mathematical tools needed to understand machine learning include linear algebra, analytic geometry, matrix decompositions, vector calculus, optimization, probability and statistics. These topics are traditionally taught in disparate courses, making it hard for data science or computer science students, or professionals, to efficiently learn the mathematics. This self-contained textbook bridges the gap between mathematical and machine learning texts, introducing the mathematical concepts with a minimum of prerequisites. It uses these concepts to derive four central machine learning methods: linear regression, principal component analysis, Gaussian mixture models and support vector machines. For students and others with a mathematical background, these derivations provide a starting point to machine learning texts. For those learning the mathematics for the first time, the methods help build intuition and practical experience with applying mathematical concepts. Every chapter includes worked examples and exercises to test understanding. Programming tutorials are offered on the book's web site.
Author: Mario Livio Publisher: Simon and Schuster ISBN: 0743274628 Category : Mathematics Languages : en Pages : 367
Book Description
What do Bach's compositions, Rubik's Cube, the way we choose our mates, and the physics of subatomic particles have in common? All are governed by the laws of symmetry, which elegantly unify scientific and artistic principles. Yet the mathematical language of symmetry-known as group theory-did not emerge from the study of symmetry at all, but from an equation that couldn't be solved. For thousands of years mathematicians solved progressively more difficult algebraic equations, until they encountered the quintic equation, which resisted solution for three centuries. Working independently, two great prodigies ultimately proved that the quintic cannot be solved by a simple formula. These geniuses, a Norwegian named Niels Henrik Abel and a romantic Frenchman named Évariste Galois, both died tragically young. Their incredible labor, however, produced the origins of group theory. The first extensive, popular account of the mathematics of symmetry and order, The Equation That Couldn't Be Solved is told not through abstract formulas but in a beautifully written and dramatic account of the lives and work of some of the greatest and most intriguing mathematicians in history.
Author: Hannah Star Rogers Publisher: MIT Press ISBN: 0262369591 Category : Science Languages : en Pages : 327
Book Description
How the tools of STS can be used to understand art and science and the practices of these knowledge-making communities. In Art, Science, and the Politics of Knowledge, Hannah Star Rogers suggests that art and science are not as different from each other as we might assume. She shows how the tools of science and technology studies (STS) can be applied to artistic practice, offering new ways of thinking about people and objects that have largely fallen outside the scope of STS research. Arguing that the categories of art and science are labels with specific powers to order social worlds—and that art and science are best understood as networks that produce knowledge—Rogers shows, through a series of cases, the similarities and overlapping practices of these knowledge communities. The cases, which range from nineteenth-century artisans to contemporary bioartists, illustrate how art can provide the basis for a new subdiscipline called art, science, and technology studies (ASTS), offering hybrid tools for investigating art–science collaborations. Rogers’s subjects include the work of father and son glassblowers, the Blaschkas, whose glass models, produced in the nineteenth century for use in biological classification, are now displayed as works of art; the physics photographs of documentary photographer Berenice Abbott; and a bioart lab that produces work functioning as both artwork and scientific output. Finally, Rogers, an STS scholar and contemporary art–science curator, draws on her own work to consider the concept of curation as a form of critical analysis.
Author: Michael Jacobson Publisher: Springer Science & Business Media ISBN: 038784922X Category : Mathematics Languages : en Pages : 504
Book Description
Pell’s Equation is a very simple Diophantine equation that has been known to mathematicians for over 2000 years. Even today research involving this equation continues to be very active, as can be seen by the publication of at least 150 articles related to this equation over the past decade. However, very few modern books have been published on Pell’s Equation, and this will be the first to give a historical development of the equation, as well as to develop the necessary tools for solving the equation. The authors provide a friendly introduction for advanced undergraduates to the delights of algebraic number theory via Pell’s Equation. The only prerequisites are a basic knowledge of elementary number theory and abstract algebra. There are also numerous references and notes for those who wish to follow up on various topics.
Author: David Barber Publisher: Cambridge University Press ISBN: 0521518148 Category : Computers Languages : en Pages : 739
Book Description
A practical introduction perfect for final-year undergraduate and graduate students without a solid background in linear algebra and calculus.
Author: Lê Nguyên Hoang
Author: Lê Nguyên Hoang
Author: Sander Bais
Author: Susan Janssen Creighton
Author: Nick Powdthavee
Author: Marc Peter Deisenroth
Author: Mario Livio
Author: Hannah Star Rogers
Author: Michael Jacobson
Author: David Barber