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.
Download or read book Mathematical Logic through Python written by Yannai A. Gonczarowski and published by Cambridge University Press. This book was released on 2022-07-31 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using a unique pedagogical approach, this text introduces mathematical logic by guiding students in implementing the underlying logical concepts and mathematical proofs via Python programming. This approach, tailored to the unique intuitions and strengths of the ever-growing population of programming-savvy students, brings mathematical logic into the comfort zone of these students and provides clarity that can only be achieved by a deep hands-on understanding and the satisfaction of having created working code. While the approach is unique, the text follows the same set of topics typically covered in a one-semester undergraduate course, including propositional logic and first-order predicate logic, culminating in a proof of Gödel's completeness theorem. A sneak peek to Gödel's incompleteness theorem is also provided. The textbook is accompanied by an extensive collection of programming tasks, code skeletons, and unit tests. Familiarity with proofs and basic proficiency in Python is assumed.
Download or read book Tools for Teaching Logic written by Patrick Blackburn and published by Springer Science & Business Media. This book was released on 2011-05-23 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the Third International Congress on Tools for Teaching Logic, TICTTL 2011, held in Salamanca, Spain, in June 2011. The 30 papers presented were carefully reviewed and selected from 62 submissions. The congress focusses on a variety of topics including: logic teaching software, teaching formal methods, logic in the humanities, dissemination of logic courseware and logic textbooks, methods for teaching logic at different levels of instruction, presentation of postgraduate programs in logic, e-learning, logic games, teaching argumentation theory and informal logic, and pedagogy of logic.
Download or read book Sets Logic Computation written by Richard Zach and published by . This book was released on 2021-07-13 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: A textbook on the semantics, proof theory, and metatheory of first-order logic. It covers naive set theory, first-order logic, sequent calculus and natural deduction, the completeness, compactness, and Löwenheim-Skolem theorems, Turing machines, and the undecidability of the halting problem and of first-order logic. It is based on the Open Logic project, and available for free download at slc.openlogicproject.org.
Download or read book A Logical Foundation for Potentialist Set Theory written by Sharon Berry and published by Cambridge University Press. This book was released on 2022-02-17 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new approach to the standard axioms of set theory, relating the theory to the philosophy of science and metametaphysics.
Download or read book A Mathematical Introduction to Logic written by Herbert B. Enderton and published by Elsevier. This book was released on 2001-01-23 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Mathematical Introduction to Logic
Download or read book The Complex Project Toolkit written by Kieran Duck and published by Major Street Publishing. This book was released on 2022-01-01 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: The essential guide for project managers and leaders.Project managers are often responsible for big teams and millions (sometimes billions) of dollars to deliver successful outcomes on time and within budget. But the reality is, most complex projects don't live up to their promise - they often fail, under-deliver or get delivered but burn out everyone in the process. Author and experienced project manager, Kieran Duck, argues that this is because the normal approach to project management doesn't work when projects are complex. The traditional emphasis on certainty and predictability comes from an industrial era where the focus was on controlling resources and effort. These days projects are unpredictable, they are emergent and performance relies on the opinions of key stakeholders and team members.The Complex Project Toolkit provides a way through this. Based on the concepts of design thinking, this comprehensive toolkit adds to existing project management approaches with new mindsets, practices and skills that will lift the performance of your most ambitious projects and improve the experience for everyone involved.
Download or read book Observing Projects Workbook for Universe written by Roger Freedman and published by Macmillan. This book was released on 2010-01-29 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: As the title suggests, Discovering Number Theory encourages students to figure out many of the important concepts and theorems of number theory for themselves. While the content is similar to other one-semester undergraduate texts on the subject, the organization and presentation of the material revolves around computer activities. With the help of interactive computer software, students work on research questions before being exposed to the final polished theorems and proofs. By actively participating in the development of course topics they develop a solid understanding of the material and gain valuable insights into the realities of mathematical research.
Download or read book Project Decisions 2nd Edition written by Lev Virine and published by Berrett-Koehler Publishers. This book was released on 2019-11-05 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition gives project managers practical methods and tools to make the right decisions while juggling multiple objectives, risks and uncertainties, and stakeholders. Project management requires you to navigate a maze of multiple and complex decisions that are an everyday part of the job. To be effective, you must know how to make rational choices with your projects, what processes can help to improve these choices, and what tools are available to help you with decision-making. An entertaining and easy-to-read guide to a structured project decision-making process, Project Decisions will help you identify risks and perform basic quantitative and qualitative risk and decision analyses. Lev Virine and Michael Trumper use their understanding of basic human psychology to show you how to use event chain methodology, establish creative business environments, and estimate project time and costs. Each phase of the process is described in detail, including a review of both its psychological aspects and quantitative methods.
Download or read book Principia Mathematica written by Alfred North Whitehead and published by . This book was released on 1910 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Logic for Concurrency and Synchronisation written by R.J. De Queiroz and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is for researchers in computer science, mathematical logic, and philosophical logic. It shows the state of the art in current investigations of process calculi with mainly two major paradigms at work: linear logic and modal logic. The combination of approaches and pointers for further integration also suggests a grander vision for the field.
Download or read book Interactive Theorem Proving written by Gerwin Klein and published by Springer. This book was released on 2014-06-28 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 5th International Conference on Interactive Theorem Proving, ITP 2014, Held as Part of the Vienna Summer of Logic, VSL 2014, in Vienna, Austria, in July 2014. The 35 papers presented in this volume were carefully reviewed and selected from 59 submissions. The topics range from theoretical foundations to implementation aspects and applications in program verification, security and formalization of mathematics.
Download or read book Interactive Theorem Proving written by Mauricio Ayala-Rincón and published by Springer. This book was released on 2017-09-04 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 8th International Conference on Interactive Theorem Proving, ITP 2017, held in Brasilia, Brazil, in September 2017. The 28 full papers, 2 rough diamond papers, and 3 invited talk papers presented were carefully reviewed and selected from 65 submissions. The topics range from theoretical foundations to implementation aspects and applications in program verification, security and formalization of mathematical theories.
Download or read book Rules and Reasoning written by Stefania Costantini and published by Springer. This book was released on 2017-07-03 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the International Joint Conference on Rules and Reasoning, RuleML+RR 2017, held in London, UK, during July 2017. This is the first conference of a new series, joining the efforts of two existing conference series, namely “RuleML” (International Web Rule Symposium) and “RR” (Web Reasoning and Rule Systems). The 16 regular papers presented together with 2 keynote abstracts were carefully reviewed and selected from 29 submissions. The RR conference series has been a forum for discussion and dissemination of new results on all topics concerning Web Reasoning and Rule Systems, with an emphasis on rule-based approaches and languages. The RuleML conference series has been devoted to disseminating research, applications, languages and standards for rule technologies, with attention to both theoretical and practical developments, to challenging new ideas and industrial applications. Both series of conferences aimed at building bridges between academia and industry in the field of rules and their applications. Therefore, RuleML+RR is expected to become a leading conference for all subjects concerning theoretical advances, novel technologies, and innovative applications about knowledge representation and reasoning with rules. This new joint conference provides a valuable forum for stimulating cooperation and cross-fertilization between the many different communities focused on the research, development and applications of rule-based systems. It provides the possibility to present and discuss applications of rules and reasoning in academia, industry, engineering, business, finance, healthcare and other application areas.
Download or read book The Seventeen Provers of the World written by Freek Wiedijk and published by Springer Science & Business Media. This book was released on 2006-02-03 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Commemorating the 50th anniversary of the first time a mathematical theorem was proven by a computer system, Freek Wiedijk initiated the present book in 2004 by inviting formalizations of a proof of the irrationality of the square root of two from scientists using various theorem proving systems. The 17 systems included in this volume are among the most relevant ones for the formalization of mathematics. The systems are showcased by presentation of the formalized proof and a description in the form of answers to a standard questionnaire. The 17 systems presented are HOL, Mizar, PVS, Coq, Otter/Ivy, Isabelle/Isar, Alfa/Agda, ACL2, PhoX, IMPS, Metamath, Theorema, Leog, Nuprl, Omega, B method, and Minlog.
Download or read book Perspectives on Deduction Contemporary Studies in the Philosophy History and Formal Theories of Deduction written by Antonio Piccolomini d'Aragona and published by Springer Nature. This book was released on with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt:
