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Author :
Publisher :
ISBN 13 :
Total Pages : 744 pages
Book Rating : 4.3/5 ( download)
Download or read book Sets in Order written by and published by . This book was released on 1959 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Daniel Ashlock
Publisher : Springer Nature
ISBN 13 : 3031024265
Total Pages : 233 pages
Book Rating : 4.0/5 (31 download)
Download or read book An Introduction to Proofs with Set Theory written by Daniel Ashlock and published by Springer Nature. This book was released on 2022-06-01 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is intended as an introduction to mathematical proofs for students. It is distilled from the lecture notes for a course focused on set theory subject matter as a means of teaching proofs. Chapter 1 contains an introduction and provides a brief summary of some background material students may be unfamiliar with. Chapters 2 and 3 introduce the basics of logic for students not yet familiar with these topics. Included is material on Boolean logic, propositions and predicates, logical operations, truth tables, tautologies and contradictions, rules of inference and logical arguments. Chapter 4 introduces mathematical proofs, including proof conventions, direct proofs, proof-by-contradiction, and proof-by-contraposition. Chapter 5 introduces the basics of naive set theory, including Venn diagrams and operations on sets. Chapter 6 introduces mathematical induction and recurrence relations. Chapter 7 introduces set-theoretic functions and covers injective, surjective, and bijective functions, as well as permutations. Chapter 8 covers the fundamental properties of the integers including primes, unique factorization, and Euclid's algorithm. Chapter 9 is an introduction to combinatorics; topics included are combinatorial proofs, binomial and multinomial coefficients, the Inclusion-Exclusion principle, and counting the number of surjective functions between finite sets. Chapter 10 introduces relations and covers equivalence relations and partial orders. Chapter 11 covers number bases, number systems, and operations. Chapter 12 covers cardinality, including basic results on countable and uncountable infinities, and introduces cardinal numbers. Chapter 13 expands on partial orders and introduces ordinal numbers. Chapter 14 examines the paradoxes of naive set theory and introduces and discusses axiomatic set theory. This chapter also includes Cantor's Paradox, Russel's Paradox, a discussion of axiomatic theories, an exposition on Zermelo‒Fraenkel Set Theory with the Axiom of Choice, and a brief explanation of Gödel's Incompleteness Theorems.
Author : D.C. Goldrei
Publisher : CRC Press
ISBN 13 : 9780412606106
Total Pages : 300 pages
Book Rating : 4.6/5 (61 download)
Download or read book Classic Set Theory written by D.C. Goldrei and published by CRC Press. This book was released on 1996-07-01 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for undergraduate students of set theory, Classic Set Theory presents a modern perspective of the classic work of Georg Cantor and Richard Dedekin and their immediate successors. This includes: The definition of the real numbers in terms of rational numbers and ultimately in terms of natural numbers Defining natural numbers in terms of sets The potential paradoxes in set theory The Zermelo-Fraenkel axioms for set theory The axiom of choice The arithmetic of ordered sets Cantor's two sorts of transfinite number - cardinals and ordinals - and the arithmetic of these. The book is designed for students studying on their own, without access to lecturers and other reading, along the lines of the internationally renowned courses produced by the Open University. There are thus a large number of exercises within the main body of the text designed to help students engage with the subject, many of which have full teaching solutions. In addition, there are a number of exercises without answers so students studying under the guidance of a tutor may be assessed. Classic Set Theory gives students sufficient grounding in a rigorous approach to the revolutionary results of set theory as well as pleasure in being able to tackle significant problems that arise from the theory.
Author : American Society of Health-System Pharmacists
Publisher : ASHP
ISBN 13 : 1585287059
Total Pages : 2239 pages
Book Rating : 4.5/5 (852 download)
Download or read book Best Practices: Position and Guidance Documents of ASHP written by American Society of Health-System Pharmacists and published by ASHP. This book was released on 2024-01-23 with total page 2239 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Most Comprehensive Set of Quality Guidelines Available to the Pharmacy Profession ASHP positions and more than 80 ASHP guidance documents of varying scope provide ongoing advice to practitioners and health systems to help improve the medication-use process, patient care and safety, and patient outcomes and quality of life. ASHP Statements ASHP Guidelines Technical Assistance Bulletins Therapeutic Position Statements Therapeutic Guidelines ASHP-Endorsed Documents
Author : A. G. Hamilton
Publisher : Cambridge University Press
ISBN 13 : 9780521287616
Total Pages : 272 pages
Book Rating : 4.2/5 (876 download)
Download or read book Numbers, Sets and Axioms written by A. G. Hamilton and published by Cambridge University Press. This book was released on 1982 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Following the success of Logic for Mathematicians, Dr Hamilton has written a text for mathematicians and students of mathematics that contains a description and discussion of the fundamental conceptual and formal apparatus upon which modern pure mathematics relies. The author's intention is to remove some of the mystery that surrounds the foundations of mathematics. He emphasises the intuitive basis of mathematics; the basic notions are numbers and sets and they are considered both informally and formally. The role of axiom systems is part of the discussion but their limitations are pointed out. Formal set theory has its place in the book but Dr Hamilton recognises that this is a part of mathematics and not the basis on which it rests. Throughout, the abstract ideas are liberally illustrated by examples so this account should be well-suited, both specifically as a course text and, more broadly, as background reading. The reader is presumed to have some mathematical experience but no knowledge of mathematical logic is required.
Author : Abhijit Dasgupta
Publisher : Springer Science & Business Media
ISBN 13 : 1461488540
Total Pages : 434 pages
Book Rating : 4.4/5 (614 download)
Download or read book Set Theory written by Abhijit Dasgupta and published by Springer Science & Business Media. This book was released on 2013-12-11 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is a number? What is infinity? What is continuity? What is order? Answers to these fundamental questions obtained by late nineteenth-century mathematicians such as Dedekind and Cantor gave birth to set theory. This textbook presents classical set theory in an intuitive but concrete manner. To allow flexibility of topic selection in courses, the book is organized into four relatively independent parts with distinct mathematical flavors. Part I begins with the Dedekind–Peano axioms and ends with the construction of the real numbers. The core Cantor–Dedekind theory of cardinals, orders, and ordinals appears in Part II. Part III focuses on the real continuum. Finally, foundational issues and formal axioms are introduced in Part IV. Each part ends with a postscript chapter discussing topics beyond the scope of the main text, ranging from philosophical remarks to glimpses into landmark results of modern set theory such as the resolution of Lusin's problems on projective sets using determinacy of infinite games and large cardinals. Separating the metamathematical issues into an optional fourth part at the end makes this textbook suitable for students interested in any field of mathematics, not just for those planning to specialize in logic or foundations. There is enough material in the text for a year-long course at the upper-undergraduate level. For shorter one-semester or one-quarter courses, a variety of arrangements of topics are possible. The book will be a useful resource for both experts working in a relevant or adjacent area and beginners wanting to learn set theory via self-study.
Author : Georg Peters
Publisher : Springer Science & Business Media
ISBN 13 : 1447127609
Total Pages : 213 pages
Book Rating : 4.4/5 (471 download)
Download or read book Rough Sets: Selected Methods and Applications in Management and Engineering written by Georg Peters and published by Springer Science & Business Media. This book was released on 2012-02-21 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rough Set Theory, introduced by Pawlak in the early 1980s, has become an important part of soft computing within the last 25 years. However, much of the focus has been on the theoretical understanding of Rough Sets, with a survey of Rough Sets and their applications within business and industry much desired. Rough Sets: Selected Methods and Applications in Management and Engineering provides context to Rough Set theory, with each chapter exploring a real-world application of Rough Sets. Rough Sets is relevant to managers striving to improve their businesses, industry researchers looking to improve the efficiency of their solutions, and university researchers wanting to apply Rough Sets to real-world problems.
Author : Thierry Vialar
Publisher : BoD - Books on Demand
ISBN 13 : 2955199001
Total Pages : 1134 pages
Book Rating : 4.9/5 (551 download)
Download or read book Handbook of Mathematics written by Thierry Vialar and published by BoD - Books on Demand. This book was released on 2016-12-07 with total page 1134 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book consists of XI Parts and 28 Chapters covering all areas of mathematics. It is a tool for students, scientists, engineers, students of many disciplines, teachers, professionals, writers and also for a general reader with an interest in mathematics and in science. It provides a wide range of mathematical concepts, definitions, propositions, theorems, proofs, examples, and numerous illustrations. The difficulty level can vary depending on chapters, and sustained attention will be required for some. The structure and list of Parts are quite classical: I. Foundations of Mathematics, II. Algebra, III. Number Theory, IV. Geometry, V. Analytic Geometry, VI. Topology, VII .Algebraic Topology, VIII. Analysis, IX. Category Theory, X. Probability and Statistics, XI. Applied Mathematics. Appendices provide useful lists of symbols and tables for ready reference. The publisher’s hope is that this book, slightly revised and in a convenient format, will serve the needs of readers, be it for study, teaching, exploration, work, or research.
Author : Jerome H. Carter
Publisher : ACP Press
ISBN 13 : 1930513976
Total Pages : 554 pages
Book Rating : 4.9/5 (35 download)
Download or read book Electronic Health Records written by Jerome H. Carter and published by ACP Press. This book was released on 2008 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: Resource added for the Health Information Technology program 105301.
Author : R.L. Graham
Publisher : Elsevier
ISBN 13 : 008093384X
Total Pages : 2404 pages
Book Rating : 4.0/5 (89 download)
Download or read book Handbook of Combinatorics written by R.L. Graham and published by Elsevier. This book was released on 1995-12-11 with total page 2404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Combinatorics
Author :
Publisher :
ISBN 13 :
Total Pages : 210 pages
Book Rating : 4.:/5 (321 download)
Download or read book The Messenger of Mathematics written by and published by . This book was released on 1913 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Illinois. Appellate Court
Publisher :
ISBN 13 :
Total Pages : 738 pages
Book Rating : 4.:/5 ( download)
Download or read book Reports of Cases Determined in the Appellate Courts of Illinois written by Illinois. Appellate Court and published by . This book was released on 1907 with total page 738 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ronald L. Graham
Publisher : Elsevier
ISBN 13 : 9780444823465
Total Pages : 1124 pages
Book Rating : 4.8/5 (234 download)
Download or read book Handbook of Combinatorics Volume 1 written by Ronald L. Graham and published by Elsevier. This book was released on 1995-12-11 with total page 1124 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Combinatorics, Volume 1 focuses on basic methods, paradigms, results, issues, and trends across the broad spectrum of combinatorics. The selection first elaborates on the basic graph theory, connectivity and network flows, and matchings and extensions. Discussions focus on stable sets and claw free graphs, nonbipartite matching, multicommodity flows and disjoint paths, minimum cost circulations and flows, special proof techniques for paths and circuits, and Hamilton paths and circuits in digraphs. The manuscript then examines coloring, stable sets, and perfect graphs and embeddings and minors. The book takes a look at random graphs, hypergraphs, partially ordered sets, and matroids. Topics include geometric lattices, structural properties, linear extensions and correlation, dimension and posets of bounded degree, hypergraphs and set systems, stability, transversals, and matchings, and phase transition. The manuscript also reviews the combinatorial number theory, point lattices, convex polytopes and related complexes, and extremal problems in combinatorial geometry. The selection is a valuable reference for researchers interested in combinatorics.
Author : Vishal Goar
Publisher : Springer Nature
ISBN 13 : 9819761069
Total Pages : 872 pages
Book Rating : 4.8/5 (197 download)
Download or read book Advances in Information Communication Technology and Computing written by Vishal Goar and published by Springer Nature. This book was released on with total page 872 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Frank A. Chervenak
Publisher : Walter de Gruyter
ISBN 13 : 311085399X
Total Pages : 449 pages
Book Rating : 4.1/5 (18 download)
Download or read book Spaces of Measures written by Frank A. Chervenak and published by Walter de Gruyter. This book was released on 2011-05-12 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 35 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics. While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob. Titles in planning include Mark M. Meerschaert, Alla Sikorskii, and Mohsen Zayernouri, Stochastic Models for Fractional Calculus, second edition (2018) Flavia Smarazzo and Alberto Tesei, Measure Theory: Radon Measures, Young Measures and Applications to Parabolic Problems (2019) Elena Cordero and Luigi Rodino, Time-Frequency Analysis of Operators (2019) Kezheng Li, Group Schemes and Their Actions (2019; together with Tsinghua University Press) Kai Liu, Ilpo Laine, and Lianzhong Yang, Complex Differential-Difference Equations (2021) Rajendra Vasant Gurjar, Kayo Masuda, and Masayoshi Miyanishi, Affine Space Fibrations (2022)
Author : MD, Alexander Scarlat
Publisher : CRC Press
ISBN 13 : 1466559225
Total Pages : 397 pages
Book Rating : 4.4/5 (665 download)
Download or read book Electronic Health Record written by MD, Alexander Scarlat and published by CRC Press. This book was released on 2012-03-22 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible primer, Electronic Health Record: A Systems Analysis of the Medications Domain introduces the tools and methodology of Structured Systems Analysis as well as the nuances of the Medications domain. The first part of the book provides a top-down decomposition along two main paths: data in motion workflows, processes, activities, and tas
Author :
Publisher : Academic Press
ISBN 13 : 0080874142
Total Pages : 507 pages
Book Rating : 4.0/5 (88 download)
Download or read book Linear Orderings written by and published by Academic Press. This book was released on 1982-06-01 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear Orderings
