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144 results for "mathematical proof"
Proofs By John Prince
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There are statements that have not, and perhaps cannot, be proved. Data can be displayed, and patterns can be anticipated, but a proof requires a logical process. Statistics can be used to establish... More > a link between events, but often the reliability factor is established at only 95%. Accounting firms will retest a hypothesis using a larger sample if the initial hypothesis test fails. Even then two types of errors exist for each hypothesis: rejecting it by mistake, and incorrectly accepting it. It is similar to `reasonable doubt', although some will believe the statistical claims (at least until another study is released). Any statement can be proved false by one counter example. A correct example though, only illustrates there may be a possible proof. In this book, you will explore common methods of mathematical proof using various topics. Consider it as a supplement to a text.< Less
Engineering Mathematics By Samuel Doughty
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This book offers a professional level review of mathematics for the graduate engineer. Topics include trigonometry and complex numbers, series, differential and integral calculus, ordinary... More > differential equations, matrices and linear algebra, vector algebra, Fourier series, and the calculus of variations. Hamilton's principle is introduced as a unifying principle in physics. The emphasis is on understanding and problem solving and not on proofs.< Less
Introduction to Higher Mathematics By Patrick Keef, David Guichard
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An introduction to mathematical proofs, including logic, number theory, and functions.
The God Proof By Jeffrey Kegler
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The God Proof is a novel, but it is about a real proof claimed by Kurt Gödel, Einstein's closest friend. Many people have tried to prove God's existence. You can certainly doubt that it's... More > possible. What you can't question is that if anyone could do it, Gödel could. Time magazine called Gödel the greatest mathematician of the last century. Oppenheimer, scientific director of the project that built the atomic bomb, called Gödel "the greatest logician since Aristotle." Gödel earned his reputation with airtight proofs of unexpected results. The shy Gödel feared ridicule. He probably told Einstein about his God Proof, but he told nobody else until 1970, and he never went public. After Gödel's death, his papers were found in careful order. We know what is missing and what is not. Everything was there, with two exceptions: the notebooks with his work on the God Proof.< Less
The God Proof By Jeffrey Kegler
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The God Proof is a novel, but it is about a real proof claimed by Kurt Gödel, Einstein's closest friend. Many people have tried to prove God's existence. You can certainly doubt that it's... More > possible. What you can't question is that if anyone could do it, Gödel could. Time magazine called Gödel the greatest mathematician of the last century. Oppenheimer, scientific director of the project that built the atomic bomb, called Gödel "the greatest logician since Aristotle." Gödel earned his reputation with airtight proofs of unexpected results. The shy Gödel feared ridicule. He probably told Einstein about his God Proof, but he told nobody else until 1970, and he never went public. After Gödel's death, his papers were found in careful order. We know what is missing and what is not. Everything was there, with two exceptions: the notebooks with his work on the God Proof.< Less
A Friendly Introduction to Mathematical Logic By Christopher C. Leary, Lars Kristiansen
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At the intersection of mathematics, computer science, and philosophy, mathematical logic examines the power and limitations of formal mathematical thinking. In this expansion of Leary's user-friendly... More > 1st edition, readers with no previous study in the field are introduced to the basics of model theory, proof theory, and computability theory. The text is designed to be used either in an upper division undergraduate classroom, or for self study. Updating the 1st Edition's treatment of languages, structures, and deductions, leading to rigorous proofs of Gödel's First and Second Incompleteness Theorems, the expanded 2nd Edition includes a new introduction to incompleteness through computability as well as solutions to selected exercises.< Less
Bridge to Higher Mathematics By Sam Vandervelde
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This engaging math textbook is designed to equip students who have completed a standard high school math curriculum with the tools and techniques that they will need to succeed in upper level math... More > courses. Topics covered include logic and set theory, proof techniques, number theory, counting, induction, relations, functions, and cardinality.< Less
Introduction to Mathematical Analysis By Beatriz Lafferriere, Gerardo Lafferriere, Nguyen Mau Nam
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Our goal in this set of lecture notes is to provide students with a strong foundation in mathematical analysis. Such a foundation is crucial for future study of deeper topics of analysis. Students... More > should be familiar with most of the concepts presented here after completing the calculus sequence. However, these concepts will be reinforced through rigorous proofs.< Less
Six Septembers: Mathematics for the Humanist By Patrick Juola, Stephen Ramsay
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This book is an introduction to or refresher course in higher mathematics for practitioners of digital humanities. Its purpose is to impart the concepts that underlie the mathematics they are likely... More > to encounter and to unfold the notation in a way that removes that particular barrier completely. It should enable humanist scholars to address complicated technical material with confidence. The individual subjects we tackle are (in order): logic and proof, discrete mathematics, abstract algebra, probability and statistics, calculus, and differential equations. This is not at all the order in which these subjects are usually taught in school curricula, and indeed, it is possible to take a course of study that does not include all of them. Our ordering is borne of our own sense of how best to convey the concepts of mathematics to humanists, and is, like mathematics itself, strongly cumulative.< Less
The 'Unreasonable Effectiveness of Mathematics' By Henry Ellington
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This is one of Professor Ellington’s most recent papers. It looks at why mathematics appears to be so well suited for use in explaining important aspects of natural science, particularly in... More > physics and astronomy. It explores the topic in the typically adept and adroit way that only our Emeritus Professor Henry Ellington can do. It has been delivered by him to audiences ranging from senior secondary pupils to fellow University Professors in a variety of settings. We therefore commend it to you as an excellent, albeit brief read, that will not only stimulate your own thoughts but will also entitle you to give this talk yourself to appropriate audiences. The contents of this paper can be augmented by a set of Power Point slides which will be issued to you by email upon forwarding your proof of purchase, as an interim way of getting these to you prior to the inception of our e-commerce platform in 2017.< Less

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