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Proofs 101
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Download or read book Proofs 101 written by Joseph Kirtland and published by CRC Press. This book was released on 2020-11-21 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proofs 101: An Introduction to Formal Mathematics serves as an introduction to proofs for mathematics majors who have completed the calculus sequence (at least Calculus I and II) and a first course in linear algebra. The book prepares students for the proofs they will need to analyze and write the axiomatic nature of mathematics and the rigors of upper-level mathematics courses. Basic number theory, relations, functions, cardinality, and set theory will provide the material for the proofs and lay the foundation for a deeper understanding of mathematics, which students will need to carry with them throughout their future studies. Features Designed to be teachable across a single semester Suitable as an undergraduate textbook for Introduction to Proofs or Transition to Advanced Mathematics courses Offers a balanced variety of easy, moderate, and difficult exercises
Download or read book Proofs 101 written by Joseph Kirtland and published by CRC Press. This book was released on 2020-12-11 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proofs 101: An Introduction to Formal Mathematics serves as an introduction to proofs for mathematics majors who have completed the calculus sequence (at least Calculus I and II) and a first course in linear algebra. The book prepares students for the proofs they will need to analyze and write the axiomatic nature of mathematics and the rigors of upper-level mathematics courses. Basic number theory, relations, functions, cardinality, and set theory will provide the material for the proofs and lay the foundation for a deeper understanding of mathematics, which students will need to carry with them throughout their future studies. Features Designed to be teachable across a single semester Suitable as an undergraduate textbook for Introduction to Proofs or Transition to Advanced Mathematics courses Offers a balanced variety of easy, moderate, and difficult exercises
Download or read book Proofs 101 written by Joseph Kirtland and published by Chapman & Hall/CRC. This book was released on 2020-11-21 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Proofs 101: An Introduction to Formal Mathematics serves as an introduction to proofs for mathematics majors who have completed the calculus sequence (at least Calculus I and II) and Linear Algebra. It prepares students for the proofs they will need to analyse and write, the axiomatic nature of mathematics, and the rigors of upper-level mathematics courses. Basic number theory, relations, functions, cardinality, and set theory will provide the material for the proofs and lay the foundation for a deeper understanding of mathematics, which students will need to carry with them throughout their future studies Features Designed to be teachable across a single semester Suitable as an undergraduate textbook for Introduction to Proofs or Transition to Advanced Mathematics courses A balanced variety of easy, moderate, and difficult exercises"--
Book Synopsis 101 Proofs for God by : Jim Stephens
Download or read book 101 Proofs for God written by Jim Stephens and published by Bookbaby. This book was released on 2016-11-10 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The vast majority of people in this country say they believe in God. But why? Can they prove it or is it just a "feeling"? This book will help. A lot of very smart people are convinced that we descended from monkeys, and long before that it was amoebas. They think that all life came about accidentally, a bazillion to one chance but we won the lottery of lotteries. Do you know enough science, especially the latest discoveries, to be able to refute them convincingly and even change their minds? This book will help. Most of us as kids believed in Santa Claus and most of us taught our children that he existed as well. After all, there was clear evidence he existed on Christmas morning. What about God? Would you like to know good evidence for children and teens (oldsters too) that God is real, not just a Santa myth? This book will help. You are an expert on something for sure, but do you have expertise on God. Have you researched the arguments for Darwinism enough to know what it is really implying and why it is actually anti-scientific? This book will help. Knowing with certainty that God exists has tremendous implications for your life. And, also significantly, there are likely consequences when this life is over if any part of you continues to exist in another realm. Peruse this book, something in it will catch your eye. Read that chapter. It will make you think. And that could change your life for the better.
Book Synopsis Introduction to Proof in Abstract Mathematics by : Andrew Wohlgemuth
Download or read book Introduction to Proof in Abstract Mathematics written by Andrew Wohlgemuth and published by Courier Corporation. This book was released on 2014-06-10 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary purpose of this undergraduate text is to teach students to do mathematical proofs. It enables readers to recognize the elements that constitute an acceptable proof, and it develops their ability to do proofs of routine problems as well as those requiring creative insights. The self-contained treatment features many exercises, problems, and selected answers, including worked-out solutions. Starting with sets and rules of inference, this text covers functions, relations, operation, and the integers. Additional topics include proofs in analysis, cardinality, and groups. Six appendixes offer supplemental material. Teachers will welcome the return of this long-out-of-print volume, appropriate for both one- and two-semester courses.
Book Synopsis Book of Proof by : Richard H. Hammack
Download or read book Book of Proof written by Richard H. Hammack and published by . This book was released on 2016-01-01 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity.
Book Synopsis A Treatise on the Principles of Evidence and Practice as to Proofs in Courts of Common Law; with elementary rules for conducting the examination and cross-examination of witnesses by : William Mawdesly BEST
Download or read book A Treatise on the Principles of Evidence and Practice as to Proofs in Courts of Common Law; with elementary rules for conducting the examination and cross-examination of witnesses written by William Mawdesly BEST and published by . This book was released on 1860 with total page 910 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Introduction to Mathematical Proofs by : Nicholas A. Loehr
Download or read book An Introduction to Mathematical Proofs written by Nicholas A. Loehr and published by CRC Press. This book was released on 2019-11-20 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Mathematical Proofs presents fundamental material on logic, proof methods, set theory, number theory, relations, functions, cardinality, and the real number system. The text uses a methodical, detailed, and highly structured approach to proof techniques and related topics. No prerequisites are needed beyond high-school algebra. New material is presented in small chunks that are easy for beginners to digest. The author offers a friendly style without sacrificing mathematical rigor. Ideas are developed through motivating examples, precise definitions, carefully stated theorems, clear proofs, and a continual review of preceding topics. Features Study aids including section summaries and over 1100 exercises Careful coverage of individual proof-writing skills Proof annotations and structural outlines clarify tricky steps in proofs Thorough treatment of multiple quantifiers and their role in proofs Unified explanation of recursive definitions and induction proofs, with applications to greatest common divisors and prime factorizations About the Author: Nicholas A. Loehr is an associate professor of mathematics at Virginia Technical University. He has taught at College of William and Mary, United States Naval Academy, and University of Pennsylvania. He has won many teaching awards at three different schools. He has published over 50 journal articles. He also authored three other books for CRC Press, including Combinatorics, Second Edition, and Advanced Linear Algebra.
Book Synopsis Proofs from THE BOOK by : Martin Aigner
Download or read book Proofs from THE BOOK written by Martin Aigner and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: According to the great mathematician Paul Erdös, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "perfect proofs," those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, analysis, combinatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics.
Book Synopsis Canonical Equational Proofs by : Bachmair
Download or read book Canonical Equational Proofs written by Bachmair and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: Equations occur in many computer applications, such as symbolic compu tation, functional programming, abstract data type specifications, program verification, program synthesis, and automated theorem proving. Rewrite systems are directed equations used to compute by replacing subterms in a given formula by equal terms until a simplest form possible, called a normal form, is obtained. The theory of rewriting is concerned with the compu tation of normal forms. We shall study the use of rewrite techniques for reasoning about equations. Reasoning about equations may, for instance, involve deciding whether an equation is a logical consequence of a given set of equational axioms. Convergent rewrite systems are those for which the rewriting process de fines unique normal forms. They can be thought of as non-deterministic functional programs and provide reasonably efficient decision procedures for the underlying equational theories. The Knuth-Bendix completion method provides a means of testing for convergence and can often be used to con struct convergent rewrite systems from non-convergent ones. We develop a proof-theoretic framework for studying completion and related rewrite based proof procedures. We shall view theorem provers as proof transformation procedures, so as to express their essential properties as proof normalization theorems.
Book Synopsis How to Prove It by : Daniel J. Velleman
Download or read book How to Prove It written by Daniel J. Velleman and published by Cambridge University Press. This book was released on 2006-01-16 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman's successful text will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. The author shows how complex proofs are built up from these smaller steps, using detailed 'scratch work' sections to expose the machinery of proofs about the natural numbers, relations, functions, and infinite sets. To give students the opportunity to construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. This book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and of course mathematicians.
Book Synopsis A Pragmatic Analysis of Legal Proofs of Criminal Intent by : Sol Azuelos-Atias
Download or read book A Pragmatic Analysis of Legal Proofs of Criminal Intent written by Sol Azuelos-Atias and published by John Benjamins Publishing. This book was released on 2007-07-26 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Pragmatic Analysis of Legal Proofs of Criminal Intent is a detailed investigation of proofs of criminal intent in Israeli courtrooms. The book analyses linguistic, pragmatic, interpretative and argumentative strategies used by Israeli lawyers and judges in order to examine the defendant’s intention. There can be no doubt that this subject is worthy of a thorough investigation. A person’s intention is a psychological phenomenon and therefore, unless the defendant chooses to confess his intent, it cannot be proven directly – either by evidence or by witnesses’ testimonies. The defendant’s intention must be inferred usually from the overall circumstances of the case; verbal and situational contexts, cultural and ideological assumptions and implicatures should be taken into account. The linguistic analysis of these inferences presented here is necessarily comprehensive: it requires consideration of a variety of theoretical frameworks including speech act theory, discourse analysis, argumentation theory, polyphony theory and text linguistics.
Book Synopsis A Christian's Guide to Evidence for the Bible by : J. Daniel Hays
Download or read book A Christian's Guide to Evidence for the Bible written by J. Daniel Hays and published by Baker Books. This book was released on 2020-10-20 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: With each passing year, archaeologists and historical scholars uncover more evidence that the people, places, and events presented in the Bible are verifiable historical facts. This engaging, full-color resource presents 101 undisputed examples of those people, places, and events to help ground your reading of the Scriptures in the historic record. The proofs include - Scripture references - full-color photos - a brief discussion of the evidence - a list of other places in the Bible the person, place, or event is mentioned - and a list of sources to consult for further information and verification This fascinating volume is not only a strong apologetic for the historicity of the Bible but is also the perfect resource for the layperson who wants to enhance their personal Bible study and for those teaching Sunday school or leading a group study.
Book Synopsis Introduction · to Mathematical Structures and · Proofs by : Larry Gerstein
Download or read book Introduction · to Mathematical Structures and · Proofs written by Larry Gerstein and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a textbook for a one-term course whose goal is to ease the transition from lower-division calculus courses to upper-division courses in linear and abstract algebra, real and complex analysis, number theory, topology, combinatorics, and so on. Without such a "bridge" course, most upper division instructors feel the need to start their courses with the rudiments of logic, set theory, equivalence relations, and other basic mathematical raw materials before getting on with the subject at hand. Students who are new to higher mathematics are often startled to discover that mathematics is a subject of ideas, and not just formulaic rituals, and that they are now expected to understand and create mathematical proofs. Mastery of an assortment of technical tricks may have carried the students through calculus, but it is no longer a guarantee of academic success. Students need experience in working with abstract ideas at a nontrivial level if they are to achieve the sophisticated blend of knowledge, disci pline, and creativity that we call "mathematical maturity. " I don't believe that "theorem-proving" can be taught any more than "question-answering" can be taught. Nevertheless, I have found that it is possible to guide stu dents gently into the process of mathematical proof in such a way that they become comfortable with the experience and begin asking them selves questions that will lead them in the right direction.
Book Synopsis Introduction to Mathematical Structures and Proofs by : Larry J. Gerstein
Download or read book Introduction to Mathematical Structures and Proofs written by Larry J. Gerstein and published by Springer Science & Business Media. This book was released on 2012-06-05 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: As a student moves from basic calculus courses into upper-division courses in linear and abstract algebra, real and complex analysis, number theory, topology, and so on, a "bridge" course can help ensure a smooth transition. Introduction to Mathematical Structures and Proofs is a textbook intended for such a course, or for self-study. This book introduces an array of fundamental mathematical structures. It also explores the delicate balance of intuition and rigor—and the flexible thinking—required to prove a nontrivial result. In short, this book seeks to enhance the mathematical maturity of the reader. The new material in this second edition includes a section on graph theory, several new sections on number theory (including primitive roots, with an application to card-shuffling), and a brief introduction to the complex numbers (including a section on the arithmetic of the Gaussian integers). Solutions for even numbered exercises are available on springer.com for instructors adopting the text for a course.
Download or read book Simplified Independence Proofs written by and published by Academic Press. This book was released on 2011-08-29 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Simplified Independence Proofs
Book Synopsis Math with Bad Drawings by : Ben Orlin
Download or read book Math with Bad Drawings written by Ben Orlin and published by Black Dog & Leventhal. This book was released on 2018-09-18 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark "bad drawings," which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike.
