Approaching Infinity

Approaching Infinity PDF Author: M. Huemer
Publisher: Palgrave Macmillan
ISBN: 9781137560858
Category : Philosophy
Languages : en
Pages : 0

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Book Description
Approaching Infinity addresses seventeen paradoxes of the infinite, most of which have no generally accepted solutions. The book addresses these paradoxes using a new theory of infinity, which entails that an infinite series is uncompletable when it requires something to possess an infinite intensive magnitude. Along the way, the author addresses the nature of numbers, sets, geometric points, and related matters. The book addresses the need for a theory of infinity, and reviews both old and new theories of infinity. It discussing the purposes of studying infinity and the troubles with traditional approaches to the problem, and concludes by offering a solution to some existing paradoxes.

The Beginning of Infinity

The Beginning of Infinity PDF Author: David Deutsch
Publisher: Penguin UK
ISBN: 0141969695
Category : Science
Languages : en
Pages : 571

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Book Description
'Science has never had an advocate quite like David Deutsch ... A computational physicist on a par with his touchstones Alan Turing and Richard Feynman, and a philosopher in the line of his greatest hero, Karl Popper. His arguments are so clear that to read him is to experience the thrill of the highest level of discourse available on this planet and to understand it' Peter Forbes, Independent In our search for truth, how far have we advanced? This uniquely human quest for good explanations has driven amazing improvements in everything from scientific understanding and technology to politics, moral values and human welfare. But will progress end, either in catastrophe or completion - or will it continue infinitely? In this profound and seminal book, David Deutsch explores the furthest reaches of our current understanding, taking in the Infinity Hotel, supernovae and the nature of optimism, to instill in all of us a wonder at what we have achieved - and the fact that this is only the beginning of humanity's infinite possibility. 'This is Deutsch at his most ambitious, seeking to understand the implications of our scientific explanations of the world ... I enthusiastically recommend this rich, wide-ranging and elegantly written exposition of the unique insights of one of our most original intellectuals' Michael Berry, Times Higher Education Supplement 'Bold ... profound ... provocative and persuasive' Economist 'David Deutsch may well go down in history as one of the great scientists of our age' Scotsman

Algebra II For Dummies

Algebra II For Dummies PDF Author: Mary Jane Sterling
Publisher: John Wiley & Sons
ISBN: 1119543177
Category : Mathematics
Languages : en
Pages : 501

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Book Description
Algebra II For Dummies, 2nd Edition (9781119543145) was previously published as Algebra II For Dummies, 2nd Edition (9781119090625). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product. Your complete guide to acing Algebra II Do quadratic equations make you queasy? Does the mere thought of logarithms make you feel lethargic? You're not alone! Algebra can induce anxiety in the best of us, especially for the masses that have never counted math as their forte. But here's the good news: you no longer have to suffer through statistics, sequences, and series alone. Algebra II For Dummies takes the fear out of this math course and gives you easy-to-follow, friendly guidance on everything you'll encounter in the classroom and arms you with the skills and confidence you need to score high at exam time. Gone are the days that Algebra II is a subject that only the serious 'math' students need to worry about. Now, as the concepts and material covered in a typical Algebra II course are consistently popping up on standardized tests like the SAT and ACT, the demand for advanced guidance on this subject has never been more urgent. Thankfully, this new edition of Algebra II For Dummies answers the call with a friendly and accessible approach to this often-intimidating subject, offering you a closer look at exponentials, graphing inequalities, and other topics in a way you can understand. Examine exponentials like a pro Find out how to graph inequalities Go beyond your Algebra I knowledge Ace your Algebra II exams with ease Whether you're looking to increase your score on a standardized test or simply succeed in your Algebra II course, this friendly guide makes it possible.

Calculus Simplified

Calculus Simplified PDF Author: Oscar E. Fernandez
Publisher: Princeton University Press
ISBN: 069117539X
Category : Juvenile Nonfiction
Languages : en
Pages : 270

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Book Description
"In Calculus simplified, Oscar Fernandez combines the strengths and omits the weaknesses, resulting in a "Goldilocks approach" to learning calculus : just the right level of detail, the right depth of insights, and the flexibility to customize your calculus adventure."--Page 4 de la couverture.

Algebra II Essentials For Dummies

Algebra II Essentials For Dummies PDF Author: Mary Jane Sterling
Publisher: John Wiley & Sons
ISBN: 1119590922
Category : Mathematics
Languages : en
Pages : 165

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Book Description
Algebra II Essentials For Dummies (9781119590873) was previously published as Algebra II Essentials For Dummies (9780470618400). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product. Passing grades in two years of algebra courses are required for high school graduation. Algebra II Essentials For Dummies covers key ideas from typical second-year Algebra coursework to help students get up to speed. Free of ramp-up material, Algebra II Essentials For Dummies sticks to the point, with content focused on key topics only. It provides discrete explanations of critical concepts taught in a typical Algebra II course, from polynomials, conics, and systems of equations to rational, exponential, and logarithmic functions. This guide is also a perfect reference for parents who need to review critical algebra concepts as they help students with homework assignments, as well as for adult learners headed back into the classroom who just need a refresher of the core concepts. The Essentials For Dummies Series Dummies is proud to present our new series, The Essentials For Dummies. Now students who are prepping for exams, preparing to study new material, or who just need a refresher can have a concise, easy-to-understand review guide that covers an entire course by concentrating solely on the most important concepts. From algebra and chemistry to grammar and Spanish, our expert authors focus on the skills students most need to succeed in a subject.

Modeling and Analysis of Dynamic Systems

Modeling and Analysis of Dynamic Systems PDF Author: Charles M. Close
Publisher: John Wiley & Sons
ISBN: 0471394424
Category : Technology & Engineering
Languages : en
Pages : 592

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Book Description
The third edition of Modeling and Anaysis of Dynamic Systems continues to present students with the methodology applicable to the modeling and analysis of a variety of dynamic systems, regardless of their physical origin. It includes detailed modeling of mechanical, electrical, electro-mechanical, thermal, and fluid systems. Models are developed in the form of state-variable equations, input-output differential equations, transfer functions, and block diagrams. The Laplace transform is used for analytical solutions. Computer solutions are based on MATLAB and Simulink. Examples include both linear and nonlinear systems. An introduction is given to the modeling and design tools for feedback control systems. The text offers considerable flexibility in the selection of material for a specific course. Students majoring in many different engineering disciplines have used the text. Such courses are frequently followed by control-system design courses in the various disciplines.

A New Approach to Utilitarianism

A New Approach to Utilitarianism PDF Author: C.L. Sheng
Publisher: Springer Science & Business Media
ISBN: 9401131929
Category : Philosophy
Languages : en
Pages : 587

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Book Description
1.1 Utilitarian Theories This book is a monograph on moral philosophy and social philosophy, particularly the part of the philosophy of economics that is related to the general distribution problem. It presents a comprehensive ethical theory, together with an application of the theory to distributive justice. The viewpoint of this theory is utilitarian. However, this theory is different in some crucial points, as well as in minor details, from all existing forms of utilitarianism. Moral philosophy deals essentially with the moral judgment of actions, i. e., whether a moral action is right or wrong, good or bad. The judgment is usually based on a line of logical reasoning, which can be traced to a final reason called the justification or ultimate principle. An ethical theory is a self-consistent system built upon a basic, or ultimate, principle. An ultimate principle can never be rigorously proven, and is not unique. Different philosophers establish different ethical theories upon different principles. Therefore, in the history of development of moral philosophy, there have been a large number of ethical theories and schools. Even wi thin the same school having the same ultimate principle, different philosophers may have different versions of the theory, because of small variations in the interpretation of the ultimate principle or in the elaboration of the details.

Review of Progress in Quantitative Nondestructive Evaluation

Review of Progress in Quantitative Nondestructive Evaluation PDF Author: Donald O. Thompson
Publisher: Springer Science & Business Media
ISBN: 1461559472
Category : Technology & Engineering
Languages : en
Pages : 2198

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Book Description
These Proceedings, consisting of Parts A and B, contain the edited versions of most of the papers presented at the annual Review of Progress in Quantitative Nondestructive Evaluation held at Bowdoin College, Brunswick, Maine on July 28 to August 2, 1996. The Review was organized by the Center for NDE at Iowa State University, in cooperation with the American Society of Nondestructive Testing, the Ames Laboratory of the USDOE, the Federal Aviation Administration, the National Institute of Standardsand Technology, and the National Science Foundation Industry!University Cooperative Research Centers pro gram. This year's Review of Progress in QNDE was attended by approximately 400 participants from the U.S. and many foreign countries who presented over 350 papers. As usual, the meetingwas divided into 36 sessions, with as many as four sessions running concurrently. The Review covered all phases of NDE research and development from fundamental investigations to engineering applications or inspection systems, and it included many important methods of inspection techniques from acoustics to x-rays. In the last eight to ten years, the Review has stabilized at about its current size, which most participants seem to agree is large enough to permit a full-scale overview of the latest developments, but still small enough to retain the collegial atmosphere which has marked the Review since its inception.

Differential and Integral Calculus

Differential and Integral Calculus PDF Author: Daniel Alexander Murray
Publisher:
ISBN:
Category : Calculus
Languages : en
Pages : 522

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Book Description


Hyperbolic Knot Theory

Hyperbolic Knot Theory PDF Author: Jessica S. Purcell
Publisher: American Mathematical Soc.
ISBN: 1470454998
Category : Education
Languages : en
Pages : 392

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Book Description
This book provides an introduction to hyperbolic geometry in dimension three, with motivation and applications arising from knot theory. Hyperbolic geometry was first used as a tool to study knots by Riley and then Thurston in the 1970s. By the 1980s, combining work of Mostow and Prasad with Gordon and Luecke, it was known that a hyperbolic structure on a knot complement in the 3-sphere gives a complete knot invariant. However, it remains a difficult problem to relate the hyperbolic geometry of a knot to other invariants arising from knot theory. In particular, it is difficult to determine hyperbolic geometric information from a knot diagram, which is classically used to describe a knot. This textbook provides background on these problems, and tools to determine hyperbolic information on knots. It also includes results and state-of-the art techniques on hyperbolic geometry and knot theory to date. The book was written to be interactive, with many examples and exercises. Some important results are left to guided exercises. The level is appropriate for graduate students with a basic background in algebraic topology, particularly fundamental groups and covering spaces. Some experience with some differential topology and Riemannian geometry will also be helpful.