45 Results for : rigour

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    'This book gives plenty of examples of ad hominem attacks, intimidation, slander, threats of litigation, deception, dishonesty, lies and other violations of good scientific practice. For some years I kept a folder labeled Dishonesty in breast cancer screening on top of my filing cabinet, storing articles and letters to the editor that contained statements I knew were dishonest. Eventually I gave up on the idea of writing a paper about this collection, as the number of examples quickly exceeded what could be contained in a single article.' From the Introduction The most effective way to decrease women's risk of becoming a breast cancer patient is to avoid attending screening. Mammography screening is one of the greatest controversies in healthcare, and the extent to which some scientists have sacrificed sound scientific principles in order to arrive at politically acceptable results in their research is extraordinary. In contrast, neutral observers increasingly find that the benefit has been much oversold and that the harms are much greater than previously believed. This groundbreaking book takes an evidence-based, critical look at the scientific disputes and the information provided to women by governments and cancer charities. It also explains why mammography screening is unlikely to be effective today. All health professionals and members of the public will find these revelations disturbingly illuminating. It will radically transform the way healthcare policy makers view mammography screening in the future. 'If Peter Gotzsche did not exist, there would be a need to invent him ...It may still take time for the limitations and harms of screening to be properly acknowledged and for women to be enabled to make adequately informed decisions. When this happens, it will be almost entirely due to the intellectual rigour and determination of Peter Gotzsche.' From the Foreword by Iona Heath, President, RCGP 'If you care about breast cancer, and we all should, you must read this book. Breast cancer is complex and we cannot afford to rely on the popular media, or on information from marketing campaigns from those who are invested in screening. We need to question and to understand. The story that Peter tells matters very much.' From the Foreword by Fran Visco, President, National Breast Cancer Coalition
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    The Sunday Times Bestseller'Tim Harford is one of my favourite writers in the world. His storytelling is gripping but never overdone, his intellectual honesty is rare and inspiring, and his ability to make complex things simple - but not simplistic - is exceptional. How to Make the World Add Up is another one of his gems. If you're looking for an addictive pageturner that will make you smarter, this is your book' Rutger Bregman, author of Humankind'Tim Harford could well be Britain's Malcolm Gladwell'Alex Bellos, author of Alex's Adventures in Numberland'If you aren't in love with stats before reading this book, you will be by the time you're done. Powerful, persuasive, and in these truth-defying times, indispensable'Caroline Criado Perez, author of Invisible Women In How to Make the World Add Up, Tim Harford draws on his experience as both an economist and presenter of the BBC's radio show 'More or Less' to take us deep into the world of disinformation and obfuscation, bad research and misplaced motivation to find those priceless jewels of data and analysis that make communicating with numbers so rewarding. Through vivid storytelling he reveals how we can evaluate the claims that surround us with confidence, curiosity and a healthy level of scepticism. It is a must-read for anyone who cares about understanding the world around them.'Tim Harford is our most likeable champion of reason and rigour . . . clear, clever and always highly readable'The Times, Books of the Year'Fascinating and enjoyable'Bill Bryson'Now more than ever we need a book like this'Stephen Fry'Wise, humane and, above all, illuminating. Nobody is better on statistics and numbers - and how to make sense of them'Matthew Syed'One of the most wonderful collections of stories that I have read in a long time . . . fascinating.'Steven Levitt, co-author of Freakonomics'Wise and useful . . . such a delight' Financial Times'What should we do when someone makes a claim that they say is based on data? This wise book, distilled from years of experience, gives us the ten commandments, from first examining our feelings, to finally having the humility to admit we may be wrong. Priceless'Professor Sir David Spiegelhalter
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    The goal of this book is to expose the reader to the indispensable role that mathematics---often very abstract---plays in modern physics. Starting with the notion of vector spaces, the first half of the book develops topics as diverse as algebras, classical orthogonal polynomials, Fourier analysis, complex analysis, differential and integral equations, operator theory, and multi-dimensional Green's functions. The second half of the book introduces groups, manifolds, Lie groups and their representations, Clifford algebras and their representations, and fiber bundles and their applications to differential geometry and gauge theories. This second edition is a substantial revision of the first one with a complete rewriting of many chapters and the addition of new ones, including chapters on algebras, representation of Clifford algebras and spinors, fiber bundles, and gauge theories. The spirit of the first edition, namely the balance between rigor and physical application, has been maintained, as is the abundance of historical notes and worked out examples that demonstrate the "unreasonable effectiveness of mathematics" in modern physics.Einstein has famously said, "The most incomprehensible thing about nature is that it is comprehensible." What he had in mind was reiterated in another one of his famous quotes concerning the question of how " ... mathematics, being after all a product of human thought, is so admirably appropriate to the objects of reality." It is a question that comes to everyone's mind when encountering the highly abstract mathematics required for a deep understanding of modern physics. It is the experience that Eugene Wigner so profoundly described as "the unreasonable effectiveness of mathematics in the natural sciences."Some praise for the previous edition:PAGEOPH [Pure and Applied Geophysics] Review by Daniel Wojcik, University of Maryland "This volume should be a welcome addition to any collection. The book is well written and explanations are usually clear. Lives of famous mathematicians and physicists are scattered within the book. They are quite extended, often amusing, making nice interludes. Numerous exercises help the student practice the methods introduced. ... I have recently been using this book for an extended time and acquired a liking for it. Among all the available books treating mathematical methods of physics this one certainly stands out and assuredly it would suit the needs of many physics readers." ZENTRALBLATT MATH Review by G.Roepstorff, University of Aachen, Germany "... Unlike most existing texts with the same emphasis and audience, which are merely collections of facts and formulas, the present book is more systematic, self-contained, with a level of presentation that tends to be more formal and abstract. This entails proving a large number of theorems, lemmas, and corollaries, deferring most of the applications that physics students might be interested in to the example sections in small print. Indeed, there are 350 worked-out examples and about 850 problems. ... A very nice feature is the way the author intertwines the formalism with the life stories and anecdotes of some mathematicians and physicists, leading at their times. As is often the case, the historical view point helps to understand and appreciate the ideas presented in the text. ... For the physics student in the middle of his training, it will certainly prove to be extremely useful." THE PHYSICIST Review by Paul Davies, Orion Productions, Adelaide, Australia "I am pleased to have so many topics collected in a single volume. All the tricks are there of course, but supported by sufficient rigour and substantiation to make the dedicated mathematical physicist sigh with delight."EMS [EUROPEAN MATHEMATICAL SOCIETY] NEWSLETTER "This book is a condensed exposition of the mathematics that is met in most parts of physics. The presentation attains a very good balance between the formal introduction of concepts, theorems and proofs on one hand, and the applied approach on the other, with many examples, fully or partially solved problems, and historical remarks. An impressive amount of mathematics is covered. ... This book can be warmly recommended as a basic source for the study of mathematics for advanced undergraduates or beginning graduate students in physics and applied mathematics, and also as a reference book for all working mathematicians and physicists."The goal of this book is to expose the reader to the indispensable role that mathematics plays in modern physics. Starting with the notion of vector spaces, the first half of the book develops topics as diverse as algebras, classical orthogonal polynomials, Fourier analysis, complex analysis, differential and integral equations, operator theory, and multi-dimensional Green's functions. The second half of the book introduces groups, manifolds, Lie groups and their representations, Clifford algebras and their representations, and fibre bundles and their applications to differential geometry and gauge theories.This second edition is a substantial revision with a complete rewriting of many chapters and the addition of new ones, including chapters on algebras, representation of Clifford algebras, fibre bundles, and gauge theories. The spirit of the first edition, namely the balance between rigour and physical application, has been maintained, as is the abundance of historical notes and worked out examples that demonstrate the "unreasonable effectiveness of mathematics" in modern physics.
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    Johann Sebastian Bach composed his most renowned organ works - the Toccatas, the Fantasia in G minor and the Passacaglia in C minor - in Weimar, in the stylus fantasticus so beloved of his Northern German masters Buxtehude and Reinken. Bach here follows in his predecessors' footsteps in all of these large-scale works: the freely inventive writing in the preludes is linked to the rigour of the fugal construction and so brings them to a majestic conclusion.
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    Completed by 1742, Book 2 was intended as a complement to Book 1, not as a replacement. It is generally far more difficult than Book 1 however, with greater technical and structural difficulty for the performer. It was the ultimate workbook, open to constant change and refining by Bach himself. In Jill Crossland's own words, "No other music is so perfect an integration of emotional expression and intellectual rigour".
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