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126 results for "mathematical proof"
Intro Mathematics Proof By Eleftherios Gkioulekas
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Lecture notes for Math 3328 "Intro Mathematics Proof".
Intro Mathematics Proof By Eleftherios Gkioulekas
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Lecture notes for Math 3328 "Intro Mathematics 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
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
Investigating Notions Of Proof By Keir Finlow-Bates
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Although proof is seen by most mathematicians as lying at the heart of mathematics, it is rarely explicitly taught at any point in the mathematics curriculum. This is compounded by the fact that... More > within the mathematics and education communities there is no clear definition of or consensus on what actually constitutes proof. In this book a fallibilist approach based on the work of Imre Lakatos is adopted, and proof and proving are set within the context of a form of social knowledge in order to gain insight into the proof-activities of degree level mathematics students.< Less
Investigating Notions Of Proof By Keir Finlow-Bates
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Although proof is seen by most mathematicians as lying at the heart of mathematics, it is rarely explicitly taught at any point in the mathematics curriculum. This is compounded by the fact that... More > within the mathematics and education communities there is no clear definition of or consensus on what actually constitutes proof. In this book a fallibilist approach based on the work of Imre Lakatos is adopted, and proof and proving are set within the context of a form of social knowledge in order to gain insight into the proof-activities of degree level mathematics students.< Less

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