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In the early 17th century, both Jost Bürgi and John Napier dared to invent a logarithm table whose construction required tens of thousands of computing steps. These tables reduced computing effort for multiplication and division by an order of magnitude. Indeed, their invention launched a computing revolution that continues to this day. The book, which is the color edition of the original black and white edition published in 2020, tells the story of Bürgi's and Napier's work, and how Henry Briggs built on Napier's idea, creating a table of logarithms that was easier to use. John Napier and Henry Briggs described their methods in detail; distribution of their results was widespread. In contrast, Jost Bürgi did not leave detailed records of his work. Just a few copies of his table and terse handwritten instructions for its use have survived. To fill this gap, the book reconstructs Bürgi's thinking leading up to his table. The reader looks over his shoulder, so to speak, and learns how Bürgi came upon the idea, how he decided on the specific format of the table, and how his instructions should be interpreted. And so the reader experiences the magic of the invention of logarithms. The final chapters examine the question "Who invented logarithms?". For centuries, few people were aware of Bürgi's work; John Napier was considered to be the sole inventor. This changed at the middle of the 19th century when Jost Bürgi's work became more widely known. Since then there has been extensive debate whether Bürgi should be considered an independent co-inventor. Careful parsing of the history of logarithm going back to Archimedes of antiquity then reveals that, without doubt, John Napier and Jost Bürgi are independent co-inventors of logarithms.
Im frühen 17. Jahrhundert entwickelten Jost Bürgi und John Napier Logarithmentafeln - ein damals äuÃerst mühsames Unterfangen, das Zehntausende von Rechenschritten erforderte. Einmal erstellt, reduzierten die Tafeln den Rechenaufwand für Multiplikation und Division um eine GröÃenordnung. In der Tat lösten die Tafeln eine Revolution im Rechnen aus. Jost Bürgi hinterlieà keine detaillierten Aufzeichnungen über seine Arbeit. Nur wenige Kopien seiner Tafel und knappe Anweisungen zu ihrer Verwendung sind erhalten geblieben. Dieses Buch rekonstruiert Bürgis Gedankengänge, schaut ihm gleichsam über die Schulter, wie er seine Tafel und die Regeln für ihre Benutzung entwickelt. Danach erzählt es die Geschichte von John Napiers Arbeit, und wie Henry Briggs Napiers Idee abänderte und so die moderne Logarithmentafel schuf. Der letzte Teil des Buches widmet sich der Frage "Wer hat nun eigentlich den Logarithmus erfunden, Bürgi oder Napier?" Napier prägte den Begriff "Logarithmus". Bürgis etwas früher entwickelte Tafel war jedoch ebenso effektiv wie die von Napier. Der Schluss ist, dass Bürgi und Napier Co-Erfinder des Logarithmus sind. This book is also available in English: The Daring Invention of Logarithm Tables.
Many of us waste endless hours on social media, overeat, shun physical exercise, and take a variety of drugs to combat behavior-induced ills. The results: depression, even suicide; weight gain and obesity; numerous ailments due to inactivity; and noxious drug side effects. It's truly a 21st-century epidemic. Why is this happening? The human nervous system no longer functions properly for two reasons: Evolution hasn't prepared us for today's world, and industry has massively exploited that weakness. The result: Subconscious processes mishandle incoming information about the world and send erroneous signals to the conscious processes, which in turn make wrong decisions. How can you prevent this from happening to you? This book provides the answer. You learn how to identify subconscious blunders and eliminate them. Your conscious processes then produce correct instead of flawed decisions. The end result is a healthier and more meaningful, indeed happier life.
Why do some Artificial Intelligence (AI) projects succeed beyond all expectations while others fail miserably? Amazing achievements like the Deep Blue computer and the Google search engine contrast sharply against utter failures like the Watson Health expert system and the mayhem and even death caused by some self-driving cars. What determines the success or failure of AI projects? How can one avoid failures in the future? This book answers these questions using brain science and philosophy. If you work in AI, this book helps you avoid major pitfalls. If you are outside AI, you learn what it is all about and what it can and cannot do.
What is the nature of knowledge? What is time? This book proposes answers to these and other centuries-old, and so far unresolved, questions about the world using results of modern brain science and a key method of the philosopher Wittgenstein. The book relies on the same tools to show why some of these questions about the world simply cannot be answered. For example: Do we have free will? The arguments rely on a very general concept of subconscious and conscious neuroprocesses that acquire information and react in some way. A hypothesis consistent with the results of modern brain science specifies how these processes interact. Why would you want to read this book? - If you are interested in the fundamental questions about the world, this book gives you a new way to look at them.- The tools help you deal with the flood of information produced by the media. They help you decide whether material is relevant or manipulative drivel.
The engineering advances started in the second half of the 20th century have created an avalanche of new technology. Control and use of that technology require, among many things, effective computational methods for logic. This book proposes one such method. It makes use of a theory of logic computation based on matroid theory, in particular matroid decomposition. Main features of the theory are an extension of propositional logic, an analysis of logic formulas via combinatorial structures, and a construction of logic solution algorithms based on that analysis. The results have been implemented in a software system for logic programming called the Leibniz System.
*** This is the black and white edition. There is also a color edition. *** In the early 17th century, both Jost Bürgi and John Napier dared to invent a logarithm table whose construction required tens of thousands of computing steps. These tables reduced computing effort for multiplication and division by an order of magnitude. Indeed, their invention launched a computing revolution that continues to this day. The book tells the story of Bürgi's and Napier's work, and how Henry Briggs built on Napier's idea, creating a table of logarithms that was easier to use. John Napier and Henry Briggs described their methods in detail; distribution of their results was widespread. In contrast, Jost Bürgi did not leave detailed records of his work. Just a few copies of his table and terse handwritten instructions for its use have survived. To fill this gap, the book reconstructs Bürgi's thinking leading up to his table. The reader looks over his shoulder, so to speak, and learns how Bürgi came upon the idea, how he decided on the specific format of the table, and how his instructions should be interpreted. And so the reader experiences the magic of the invention of logarithms. The final chapters examine the question "Who invented logarithms?". For centuries, few people were aware of Bürgi's work; John Napier was considered to be the sole inventor. This changed at the middle of the 19th century when Jost Bürgi's work became more widely known. Since then there has been extensive debate whether Bürgi should be considered an independent co-inventor. Careful parsing of the history of logarithm going back to Archimedes of antiquity then reveals that, without doubt, John Napier and Jost Bürgi are independent co-inventors of logarithms. This book is also available in German: Die wagemutige Erfindung der Logarithmentafeln
Modern brain science has produced extraordinary insight into the functioning of the human brain. This book combines some of these results with the idea of subconscious and conscious models. It then explores how these models often generate magic, sometimes error, and occasionally terror. Subconscious models help us understand how psychotherapy changes minds, why fatigue is an emotion, how breathing affects our well-being, and how we may give mind and body a rest. Conscious models explain some instances of deception in medicine, economics, politics, and religion. Subconscious and conscious models together allow us to identify nonsensical questions. The age-old question "Do we have free will?" is one such case. Hence, this question cannot be answered. This book offers a kaleidoscope of topics and cases. More ideas about subconscious and conscious models and their effects will surely occur to you as you read.
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