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Sunday, September 08, 2019

Suggested Books of the Week 36, 2019 | Books - Helge Scherlund's eLearning News

Check out these books below by Cambridge University Press and Dover Publications.

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Fat Chance - Probability from 0 to 1

Fat Chance
Probability from 0 to 1
In a world where we are constantly being asked to make decisions based on incomplete information, facility with basic probability is an essential skill. This book provides a solid foundation in basic probability theory designed for intellectually curious readers and those new to the subject. Through its conversational tone and careful pacing of mathematical development, the book balances a charming style with informative discussion. This text will immerse the reader in a mathematical view of the world, giving them a glimpse into what attracts mathematicians to the subject in the first place...
Pair this book with the HarvardX online course for great videos and interactive learning: https://harvardx.link/fat-chance.
  • Highlights key definitions, formulas, and theorems in boxes for easy reference
  • Some twenty-five essential formulas are conveniently collected in the back of the book
  • More than 100 exercises and forty worked examples build up from simple problems to complex real-world problems
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Probability - Theory and Examples

Probability
Theory and Examples
This lively introduction to measure-theoretic probability theory covers laws of large numbers, central limit theorems, random walks, martingales, Markov chains, ergodic theorems, and Brownian motion. Concentrating on results that are the most useful for applications, this comprehensive treatment is a rigorous graduate text and reference. Operating under the philosophy that the best way to learn probability is to see it in action, the book contains extended examples that apply the theory to concrete applications...

The new edition re-instates discussion about the central limit theorem for martingales and stationary sequences.
  • Provides 200 examples and 450 problems to equip readers to build practical intuition and understand the motivation for the theory
  • Offers a modern selection of topics, including multidimensional Brownian motion
  • The compact style strikes a balance between completeness and readability, covering a great deal of ground in 400 pages
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The Logic in Philosophy of Science 

The Logic in Philosophy of Science
Major figures of twentieth-century philosophy were enthralled by the revolution in formal logic, and many of their arguments are based on novel mathematical discoveries...
This book dissects these and other arguments through in-depth investigation of the mathematical facts undergirding them. It presents a systematic, mathematically rigorous account of the key notions arising from such debates, including theory, equivalence, translation, reduction, and model. The result is a far-reaching reconceptualization of the role of formal methods in answering philosophical questions.
  • Examines the role of formal logic in key debates in twentieth-century philosophy
  • Applies cutting-edge mathematical techniques to philosophical questions, providing philosophers with new tools to aid their analysis
  • Contains an introduction to metalogic, basic topology, set theory, and category theory
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Aristotle 

Aristotle
A. E. Taylor's Aristotle is a brilliantly written popular account of the great Greek philosopher and his thought. It is not simply a listing and abstract discussion of ideas, but a searching analysis of Aristotle's thought, both in terms of its contemporary and historical background, and its present application. Written by one of the very greatest Platonic scholars of our day, it is provocative enough to stimulate the expert, and lucid and instructive for the beginner...

Reprint of the revised, 1919 edition.
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Causality and Modern Science: Third Revised Edition


"I regard it as a truly seminal work in this field." — Professor William A. Wallace, author of Causality and Scientific Explanation
This third edition of a distinguished book on the subject of causality is clear evidence that this principle continues to be an important area of philosophic enquiry.

Non-technical and clearly written, this book focuses on the ontological problem of causality, with specific emphasis on the place of the causal principle in modern science. The author first defines the terminology employed and describes various formulations on the causal principle. He then examines the two primary critiques of causality, the empiricist and the romantic, as a prelude to the detailed explanation of the actual assertions of causal determination. Finally, Dr. Bunge analyzes the function of the causal principle in science, touching on such subjects as scientific law, scientific explanation, and scientific prediction. Included, also, is an appendix that offers specific replies to questions and criticisms raised upon the publication of the first edition...


Corrected 1979 reprint of the second 1963 edition.
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Confucian Analects, The Great Learning & The Doctrine of the Mean 

Confucian Analects, The Great Learning & The Doctrine of the Mean
Central to the study of Chinese civilization at its widest extension is the thought of the great sage K'ung, usually known in the West by the Latinized form of his name, Confucius. His works form the core of more than two thousand years of Oriental civilization, and even today, when he has been officially discarded, his thought remains important for understanding the present as well as the past. Yet Confucius is the property of not only the Orientalists: his ideas stood behind much of the rational social thought of the European Enlightenment, as great philosophers from Leibnitz on seized with delight "the perfect ethic without supernaturalism: that China offered them.
The present edition of the wisdom of Confucius is certainly the best edition ever prepared in the West. The results of many years of study in China by the great Sinologist James Legge, it contains the entire Chinese text of the Analects (or sayings) of Confucius in large, readable characters, and beneath this Legge's full translation, which has been accepted as the definitive, standard English version. The book also includes The Great Learning and The Doctrine of the Mean...

Reprint of Volume One of The Chinese Classics, 1893 edition.
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Source: Cambridge University Press and Dover Publications.