The Foundations of Arithmetic: A Logico-Mathematical Enquiry into the Concept of Number


Gottlob Frege - 1884
    The book represents the first philosophically sound discussion of the concept of number in Western civilization. It profoundly influenced developments in the philosophy of mathematics and in general ontology.

Information Theory, Inference and Learning Algorithms


David J.C. MacKay - 2002
    These topics lie at the heart of many exciting areas of contemporary science and engineering - communication, signal processing, data mining, machine learning, pattern recognition, computational neuroscience, bioinformatics, and cryptography. This textbook introduces theory in tandem with applications. Information theory is taught alongside practical communication systems, such as arithmetic coding for data compression and sparse-graph codes for error-correction. A toolbox of inference techniques, including message-passing algorithms, Monte Carlo methods, and variational approximations, are developed alongside applications of these tools to clustering, convolutional codes, independent component analysis, and neural networks. The final part of the book describes the state of the art in error-correcting codes, including low-density parity-check codes, turbo codes, and digital fountain codes -- the twenty-first century standards for satellite communications, disk drives, and data broadcast. Richly illustrated, filled with worked examples and over 400 exercises, some with detailed solutions, David MacKay's groundbreaking book is ideal for self-learning and for undergraduate or graduate courses. Interludes on crosswords, evolution, and sex provide entertainment along the way. In sum, this is a textbook on information, communication, and coding for a new generation of students, and an unparalleled entry point into these subjects for professionals in areas as diverse as computational biology, financial engineering, and machine learning.

Mastering Bitcoin for Dummies: Bitcoin and Cryptocurrency Technologies, Mining, Investing and Trading - Bitcoin Book 1, Blockchain, Wallet, Business


Alan T. Norman - 2017
    Get this Amazing #1 Amazon Top Release - Great Deal! You can read on your PC, Mac, smartphone, tablet or Kindle device. Bitcoin is not just a new word in the Internet age or technological and financial progress, it's a start of a new era on the Earth! Even 10 years ago we even couldn't imagine dreaming about digital money - you can't physically touch them but you can own and spend them. Today this is a reality! Bitcoin revolution covered the whole world like a huge wave, more and more people interested in this "Digital Gold". Over the past few years, Bitcoin has grown from something known only to a select few tech nerds into a revolutionary currency that has rapidly changed the way that we think about the concept of money. You no doubt see Bitcoin payments accepted in all kinds of places now, but, if you can believe it, it used to be a fairly complicated procedure for finding places that let you pay in Bitcoin. Anyway, to run the world you need to know everything. We can't guarantee that you will know EVERYTHING from this book, but we can guarantee you will have the notion of a new currency - Bitcoin. What is it? Where did it come from? How do you use it? Is it really just fake internet money created by drug dealers? That is precisely what we will be answering in this book. We’ll cover everything you need to know in order to get started with Bitcoin: understanding the Blockchain and Bitcoin transactions where to keep your Bitcoin (how to choose a secure wallet) buying Bitcoin investing in Bitcoin how to start accepting and using Bitcoin as a part of your business principles of Bitcoin mining the security of Bitcoin etc. Also, the author will share with you interesting facts about Bitcoin and will give you professional tips on the start of your way in Bitcoin family! Ready to take on the Bitcoin world yet? I hope so. I’d like to be the first to officially welcome you to the world of Bitcoin!

The Singular Universe and the Reality of Time: A Proposal in Natural Philosophy


Roberto Mangabeira Unger - 2014
    The more we discover, the more puzzling the universe appears to be. How and why are the laws of nature what they are? A philosopher and a physicist, world-renowned for their radical ideas in their fields, argue for a revolution. To keep cosmology scientific, we must replace the old view in which the universe is governed by immutable laws by a new one in which laws evolve. Then we can hope to explain them. The revolution that Roberto Mangabeira Unger and Lee Smolin propose relies on three central ideas. There is only one universe at a time. Time is real: everything in the structure and regularities of nature changes sooner or later. Mathematics, which has trouble with time, is not the oracle of nature and the prophet of science; it is simply a tool with great power and immense limitations. The argument is readily accessible to non-scientists as well as to the physicists and cosmologists whom it challenges.

Encounters and Dialogues with Martin Heidegger, 1929-1976


Heinrich Wiegand Petzet - 1993
    This account of Heidegger's personal relations, originally published in German and extensively corrected by the author for this translation, enlarges our understanding of a complex figure.A well-known art historian and an intimate friend of Heidegger's, Heinrich Wiegand Petzet provides a rich portrait of Heidegger that is part memoir, part biography, and part cultural history. By recounting chronologically a series of encounters between the two friends from their meeting in 1929 until the philosopher's death in 1976, as well as between Heidegger and other contemporaries, Petzet reveals not only new aspects of Heidegger's thought and attitudes toward the historical and intellectual events of his time but also the greater cultural and social context in which he articulated his thought.

Mathematics of Classical and Quantum Physics


Frederick W. Byron Jr. - 1969
    Organized around the central concept of a vector space, the book includes numerous physical applications in the body of the text as well as many problems of a physical nature. It is also one of the purposes of this book to introduce the physicist to the language and style of mathematics as well as the content of those particular subjects with contemporary relevance in physics.Chapters 1 and 2 are devoted to the mathematics of classical physics. Chapters 3, 4 and 5 — the backbone of the book — cover the theory of vector spaces. Chapter 6 covers analytic function theory. In chapters 7, 8, and 9 the authors take up several important techniques of theoretical physics — the Green's function method of solving differential and partial differential equations, and the theory of integral equations. Chapter 10 introduces the theory of groups. The authors have included a large selection of problems at the end of each chapter, some illustrating or extending mathematical points, others stressing physical application of techniques developed in the text.Essentially self-contained, the book assumes only the standard undergraduate preparation in physics and mathematics, i.e. intermediate mechanics, electricity and magnetism, introductory quantum mechanics, advanced calculus and differential equations. The text may be easily adapted for a one-semester course at the graduate or advanced undergraduate level.

Calculus


Gilbert Strang - 1991
    The author has a direct style. His book presents detailed and intensive explanations. Many diagrams and key examples are used to aid understanding, as well as the application of calculus to physics and engineering and economics. The text is well organized, and it covers single variable and multivariable calculus in depth. An instructor's manual and student guide are available online at http: //ocw.mit.edu/ans7870/resources/Strang/....

Principles of Statistics


M.G. Bulmer - 1979
    There are equally many advanced textbooks which delve into the far reaches of statistical theory, while bypassing practical applications. But between these two approaches is an unfilled gap, in which theory and practice merge at an intermediate level. Professor M. G. Bulmer's Principles of Statistics, originally published in 1965, was created to fill that need. The new, corrected Dover edition of Principles of Statistics makes this invaluable mid-level text available once again for the classroom or for self-study.Principles of Statistics was created primarily for the student of natural sciences, the social scientist, the undergraduate mathematics student, or anyone familiar with the basics of mathematical language. It assumes no previous knowledge of statistics or probability; nor is extensive mathematical knowledge necessary beyond a familiarity with the fundamentals of differential and integral calculus. (The calculus is used primarily for ease of notation; skill in the techniques of integration is not necessary in order to understand the text.)Professor Bulmer devotes the first chapters to a concise, admirably clear description of basic terminology and fundamental statistical theory: abstract concepts of probability and their applications in dice games, Mendelian heredity, etc.; definitions and examples of discrete and continuous random variables; multivariate distributions and the descriptive tools used to delineate them; expected values; etc. The book then moves quickly to more advanced levels, as Professor Bulmer describes important distributions (binomial, Poisson, exponential, normal, etc.), tests of significance, statistical inference, point estimation, regression, and correlation. Dozens of exercises and problems appear at the end of various chapters, with answers provided at the back of the book. Also included are a number of statistical tables and selected references.

Elements of Partial Differential Equations


Ian N. Sneddon - 2006
    It emphasizes forms suitable for students and researchers whose interest lies in solving equations rather than in general theory. Solutions to odd-numbered problems appear at the end. 1957 edition.

76 Fallacies


Michael LaBossiere - 2012
    That is, it is a piece of bad logic. Just as it is a good idea to avoid eating bad food, it is also a rather good idea to avoid bad reasoning. Unfortunately, bad reasoning is all too common—it pours out of the television and infests the web like an army of venomous spiders. Perhaps even worse than the fallacies inflicted from the outside are self-inflicted fallacies. These can lead people to make poor decisions about matters great and small.Fortunately, there is a defense against bad reasoning, namely knowledge. This concise book provides the reader with definitions and examples of seventy-six common fallacies—the knowledge a person needs to defend herself in a world awash in fallacies.In addition to combining the content of my 42 Fallacies and 30 More Fallacies, this book features some revisions as well as a new section on common formal fallacies. The focus is on providing the reader with definitions and examples of these common fallacies rather than being a handbook on winning arguments or a text on general logic.The book presents the following 73 informal fallacies:Accent, Fallacy ofAccident, Fallacy ofAd HominemAd Hominem Tu QuoqueAmphiboly, Fallacy ofAnecdotal Evidence, Fallacy OfAppeal to the Consequences of a BeliefAppeal to Authority, FallaciousAppeal to BeliefAppeal to Common PracticeAppeal to EmotionAppeal to EnvyAppeal to FearAppeal to FlatteryAppeal to Group IdentityAppeal to GuiltAppeal to NoveltyAppeal to PityAppeal to PopularityAppeal to RidiculeAppeal to SpiteAppeal to TraditionAppeal to SilenceAppeal to VanityArgumentum ad HitlerumBegging the QuestionBiased GeneralizationBurden of ProofComplex QuestionComposition, Fallacy ofConfusing Cause and EffectConfusing Explanations and ExcusesCircumstantial Ad HominemCum Hoc, Ergo Propter HocDivision, Fallacy ofEquivocation, Fallacy ofFallacious ExampleFallacy FallacyFalse DilemmaGambler’s FallacyGenetic FallacyGuilt by AssociationHasty GeneralizationHistorian’s FallacyIllicit ConversionIgnoring a Common CauseIncomplete EvidenceMiddle GroundMisleading VividnessMoving the Goal PostsOversimplified CauseOverconfident Inference from Unknown StatisticsPathetic FallacyPeer PressurePersonal AttackPoisoning the WellPositive Ad HominemPost HocProving X, Concluding YPsychologist's fallacyQuestionable CauseRationalizationRed HerringReification, Fallacy ofRelativist FallacySlippery SlopeSpecial PleadingSpotlightStraw ManTexas Sharpshooter FallacyTwo Wrongs Make a RightVictim FallacyWeak AnalogyThe book contains the following three formal (deductive) fallacies:Affirming the ConsequentDenying the AntecedentUndistributed Middle

Algebra - The Very Basics


Metin Bektas - 2014
    This book picks you up at the very beginning and guides you through the foundations of algebra using lots of examples and no-nonsense explanations. Each chapter contains well-chosen exercises as well as all the solutions. No prior knowledge is required. Topics include: Exponents, Brackets, Linear Equations and Quadratic Equations. For a more detailed table of contents, use the "Look Inside" feature. From the author of "Great Formulas Explained" and "Physics! In Quantities and Examples".

The Science of Information: From Language to Black Holes


Benjamin Schumacher - 2015
    Never before in history have we been able to acquire, record, communicate, and use information in so many different forms. Never before have we had access to such vast quantities of data of every kind. This revolution goes far beyond the limitless content that fills our lives, because information also underlies our understanding of ourselves, the natural world, and the universe. It is the key that unites fields as different as linguistics, cryptography, neuroscience, genetics, economics, and quantum mechanics. And the fact that information bears no necessary connection to meaning makes it a profound puzzle that people with a passion for philosophy have pondered for centuries.Table of ContentsLECTURE 1The Transformability of Information 4LECTURE 2Computation and Logic Gates 17LECTURE 3Measuring Information 26LECTURE 4Entropy and the Average Surprise 34LECTURE 5Data Compression and Prefix-Free Codes 44LECTURE 6Encoding Images and Sounds 57LECTURE 7Noise and Channel Capacity 69LECTURE 8Error-Correcting Codes 82LECTURE 9Signals and Bandwidth 94LECTURE 10Cryptography and Key Entropy 110LECTURE 11Cryptanalysis and Unraveling the Enigma 119LECTURE 12Unbreakable Codes and Public Keys 130LECTURE 13What Genetic Information Can Do 140LECTURE 14Life’s Origins and DNA Computing 152LECTURE 15Neural Codes in the Brain 169LECTURE 16Entropy and Microstate Information 185LECTURE 17Erasure Cost and Reversible Computing 198LECTURE 18Horse Races and Stock Markets 213LECTURE 19Turing Machines and Algorithmic Information 226LECTURE 20Uncomputable Functions and Incompleteness 239LECTURE 21Qubits and Quantum Information 253LECTURE 22Quantum Cryptography via Entanglement 266LECTURE 23It from Bit: Physics from Information 281LECTURE 24The Meaning of Information 293

Solar Energy: The physics and engineering of photovoltaic conversion, technologies and systems


Arno Smets - 2016
    The book is also ideal for university and third-level physics or engineering courses on solar photovoltaics, with exercises to check students' understanding and reinforce learning. It is the perfect companion to the Massive Open Online Course (MOOC) on Solar Energy (DelftX, ET.3034TU) presented by co-author Arno Smets. The course is available in English on the nonprofit open source edX.org platform, and in Arabic on edraak.org. Over 100,000 students have already registered for these MOOCs.

Elements of Physical Chemistry


Peter Atkins - 1992
    This edition is designed to attain a thorough understanding of this vital branch of chemistry.

Technology in Action: Complete


Alan Evans - 2004
    For introductory courses in computer concepts or computer literacy often including instruction in Microsoft Office.A Computer Concepts Text Focused on Today’s Student!Technology in Action engages students by combining a unique teaching approach with rich companion media.