The Standard Arithmetic

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Nonstandard Models of Arithmetic and Set Theory

Author : Ali Enayat
Publisher : American Mathematical Soc.
ISBN 13 : 0821835351
Total Pages : 184 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Nonstandard Models of Arithmetic and Set Theory by : Ali Enayat

Download or read book Nonstandard Models of Arithmetic and Set Theory written by Ali Enayat and published by American Mathematical Soc.. This book was released on 2004 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the proceedings of the AMS special session on nonstandard models of arithmetic and set theory held at the Joint Mathematics Meetings in Baltimore (MD). The volume opens with an essay from Haim Gaifman that probes the concept of non-standardness in mathematics and provides a fascinating mix of historical and philosophical insights into the nature of nonstandard mathematical structures. In particular, Gaifman compares and contrasts the discovery of nonstandard models with other key mathematical innovations, such as the introduction of various number systems, the modern concept of function, and non-Euclidean geometries. Other articles in the book present results related to nonstandard models in arithmetic and set theory, including a survey of known results on the Turing upper bounds of arithmetic sets and functions. The volume is suitable for graduate students and research mathematicians interested in logic, especially model theory.

Models of Peano Arithmetic

Author : Richard Kaye
Publisher :
ISBN 13 :
Total Pages : 312 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Models of Peano Arithmetic by : Richard Kaye

Download or read book Models of Peano Arithmetic written by Richard Kaye and published by . This book was released on 1991 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Non-standard models of arithmetic are of interest to mathematicians through the presence of infinite integers and the various properties they inherit from the finite integers. Since their introduction in the 1930s, they have come to play an important role in model theory, and in combinatorics through independence results such as the Paris-Harrington theorem. This book is an introduction to these developments, and stresses the interplay between the first-order theory, recursion-theoretic aspects, and the structural properties of these models. Prerequisites for an understanding of the text have been kept to a minimum, these being a basic grounding in elementary model theory and a familiarity with the notions of recursive, primitive recursive, and r.e. sets. Consequently, the book is suitable for postgraduate students coming to the subject for the first time, and a number of exercises of varying degrees of difficulty will help to further the reader's understanding.

Standard Arithmetic

Author : William J Milne
Publisher : Hansebooks
ISBN 13 : 9783348115377
Total Pages : 0 pages
Book Rating : 4.1/5 (153 download)

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Book Synopsis Standard Arithmetic by : William J Milne

Download or read book Standard Arithmetic written by William J Milne and published by Hansebooks. This book was released on 2024-04-06 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Standard Arithmetic - Embracing a Complete Course for Schools and Academies is an unchanged, high-quality reprint of the original edition of 1895. Hansebooks is editor of the literature on different topic areas such as research and science, travel and expeditions, cooking and nutrition, medicine, and other genres. As a publisher we focus on the preservation of historical literature. Many works of historical writers and scientists are available today as antiques only. Hansebooks newly publishes these books and contributes to the preservation of literature which has become rare and historical knowledge for the future.

An Introduction to Ramsey Theory

Author : Matthew Katz
Publisher : American Mathematical Soc.
ISBN 13 : 1470442906
Total Pages : 224 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis An Introduction to Ramsey Theory by : Matthew Katz

Download or read book An Introduction to Ramsey Theory written by Matthew Katz and published by American Mathematical Soc.. This book was released on 2018-10-03 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes the reader on a journey through Ramsey theory, from graph theory and combinatorics to set theory to logic and metamathematics. Written in an informal style with few requisites, it develops two basic principles of Ramsey theory: many combinatorial properties persist under partitions, but to witness this persistence, one has to start with very large objects. The interplay between those two principles not only produces beautiful theorems but also touches the very foundations of mathematics. In the course of this book, the reader will learn about both aspects. Among the topics explored are Ramsey's theorem for graphs and hypergraphs, van der Waerden's theorem on arithmetic progressions, infinite ordinals and cardinals, fast growing functions, logic and provability, Gödel incompleteness, and the Paris-Harrington theorem. Quoting from the book, “There seems to be a murky abyss lurking at the bottom of mathematics. While in many ways we cannot hope to reach solid ground, mathematicians have built impressive ladders that let us explore the depths of this abyss and marvel at the limits and at the power of mathematical reasoning at the same time. Ramsey theory is one of those ladders.”

Arithmetic Made Simple

Author : Abraham Paul Sperling
Publisher : Made Simple Books
ISBN 13 : 0385239386
Total Pages : 178 pages
Book Rating : 4.3/5 (852 download)

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Book Synopsis Arithmetic Made Simple by : Abraham Paul Sperling

Download or read book Arithmetic Made Simple written by Abraham Paul Sperling and published by Made Simple Books. This book was released on 1988 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: For almost four decades, Made Simple books have set the standard for continuing education and home study. In answer to the changing needsof today's marketplace, the Made Simple series for the '90s presents a thoroughly up-to-the-minute portfolio of skills, information, and experience, with revised and updated editions of bestselling titles, plus a whole range of new subjects from personal finance to office management to desktop publishing. B & W illustrations throughout

Numerical Computing with IEEE Floating Point Arithmetic

Author : Michael L. Overton
Publisher : SIAM
ISBN 13 : 0898715717
Total Pages : 105 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Numerical Computing with IEEE Floating Point Arithmetic by : Michael L. Overton

Download or read book Numerical Computing with IEEE Floating Point Arithmetic written by Michael L. Overton and published by SIAM. This book was released on 2001-01-01 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Numerical Analysis.

Advanced Topics in the Arithmetic of Elliptic Curves

Author : Joseph H. Silverman
Publisher : Springer Science & Business Media
ISBN 13 : 1461208513
Total Pages : 482 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Advanced Topics in the Arithmetic of Elliptic Curves by : Joseph H. Silverman

Download or read book Advanced Topics in the Arithmetic of Elliptic Curves written by Joseph H. Silverman and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the introduction to the first volume of The Arithmetic of Elliptic Curves (Springer-Verlag, 1986), I observed that "the theory of elliptic curves is rich, varied, and amazingly vast," and as a consequence, "many important topics had to be omitted." I included a brief introduction to ten additional topics as an appendix to the first volume, with the tacit understanding that eventually there might be a second volume containing the details. You are now holding that second volume. it turned out that even those ten topics would not fit Unfortunately, into a single book, so I was forced to make some choices. The following material is covered in this book: I. Elliptic and modular functions for the full modular group. II. Elliptic curves with complex multiplication. III. Elliptic surfaces and specialization theorems. IV. Neron models, Kodaira-Neron classification of special fibers, Tate's algorithm, and Ogg's conductor-discriminant formula. V. Tate's theory of q-curves over p-adic fields. VI. Neron's theory of canonical local height functions.

Introductory Business Statistics 2e

Author : Alexander Holmes
Publisher :
ISBN 13 :
Total Pages : 1801 pages
Book Rating : 4./5 ( download)

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Book Synopsis Introductory Business Statistics 2e by : Alexander Holmes

Download or read book Introductory Business Statistics 2e written by Alexander Holmes and published by . This book was released on 2023-12-13 with total page 1801 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introductory Business Statistics 2e aligns with the topics and objectives of the typical one-semester statistics course for business, economics, and related majors. The text provides detailed and supportive explanations and extensive step-by-step walkthroughs. The author places a significant emphasis on the development and practical application of formulas so that students have a deeper understanding of their interpretation and application of data. Problems and exercises are largely centered on business topics, though other applications are provided in order to increase relevance and showcase the critical role of statistics in a number of fields and real-world contexts. The second edition retains the organization of the original text. Based on extensive feedback from adopters and students, the revision focused on improving currency and relevance, particularly in examples and problems. This is an adaptation of Introductory Business Statistics 2e by OpenStax. You can access the textbook as pdf for free at openstax.org. Minor editorial changes were made to ensure a better ebook reading experience. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution 4.0 International License.

Foundations without Foundationalism

Author : Stewart Shapiro
Publisher : Clarendon Press
ISBN 13 : 0191524018
Total Pages : 302 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Foundations without Foundationalism by : Stewart Shapiro

Download or read book Foundations without Foundationalism written by Stewart Shapiro and published by Clarendon Press. This book was released on 1991-09-19 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: The central contention of this book is that second-order logic has a central role to play in laying the foundations of mathematics. In order to develop the argument fully, the author presents a detailed development of higher-order logic, including a comprehensive discussion of its semantics. Professor Shapiro demonstrates the prevalence of second-order notions in mathematics is practised, and also the extent to which mathematical concepts can be formulated in second-order languages . He shows how first-order languages are insufficient to codify many concepts in contemporary mathematics, and thus that higher-order logic is needed to fully reflect current mathematics. Throughout, the emphasis is on discussing the philosophical and historical issues associated with this subject, and the implications that they have for foundational studies. For the most part, the author assumes little more than a familiarity with logic as might be gained from a beginning graduate course which includes the incompleteness of arithmetic and the Lowenheim-Skolem theorems. All those concerned with the foundations of mathematics will find this a thought-provoking discussion of some of the central issues in this subject.

The Common Core Mathematics Companion: The Standards Decoded, High School

Author : Frederick L. Dillon
Publisher : Corwin Press
ISBN 13 : 1506395635
Total Pages : 505 pages
Book Rating : 4.5/5 (63 download)

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Book Synopsis The Common Core Mathematics Companion: The Standards Decoded, High School by : Frederick L. Dillon

Download or read book The Common Core Mathematics Companion: The Standards Decoded, High School written by Frederick L. Dillon and published by Corwin Press. This book was released on 2017-09-12 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: Your User’s Guide to the Mathematics Standards When it comes to mathematics, standards aligned is achievement aligned... In the short time since The Common Core Mathematics Companions for grades K–2, 3–5 and 6–8 burst on the scene, they have been lauded as the best resources for making critical mathematics ideas easy to teach. With this brand-new volume, high school mathematics success is at your fingertips. Page by page, the authors lay out the pieces of an in-depth explanation, including The mathematical progression of each conceptual category, starting with modeling as a unifying theme, and moving through number & quantity, algebra, functions, geometry, and statistics and probability, building from the 8th grade standards The mathematics embedded in each conceptual category for a deeper understanding of the content How standards connect within and across domains, and to previous grade standards, so teachers can better appreciate how they relate How standards connect with the standards for mathematical practice, with a focus on modeling as a unifying theme Example tasks, progressions of tasks, and descriptions of what teachers and students should be doing to foster deep learning The Common Core Mathematics Companion: The Standards Decoded, High School has what every high school teacher needs to provide students with the foundation for the concepts and skills they will be expected to know .

Integers, Fractions, and Arithmetic

Author : Judith D. Sally
Publisher : American Mathematical Soc.
ISBN 13 : 082188798X
Total Pages : 226 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Integers, Fractions, and Arithmetic by : Judith D. Sally

Download or read book Integers, Fractions, and Arithmetic written by Judith D. Sally and published by American Mathematical Soc.. This book was released on 2012 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: A co-publication of the AMS and the Mathematical Sciences Research Institute. This book, which consists of twelve interactive seminars, is a comprehensive and careful study of the fundamental topics of K–8 arithmetic. The guide aims to help teachers understand the mathematical foundations of number theory in order to strengthen and enrich their mathematics classes. Five seminars are dedicated to fractions and decimals because of their importance in the classroom curriculum. The standard topics are covered in detail, but are arranged in an order that is slightly different from the usual one. Multiplication is treated first, and with that in hand, common denominators and equivalent fractions are more readily understood and are available for use when discussing addition. The book is intended for the professional development of teachers. It is appropriate for teacher education programs as well as for enrichment programs such as Mathematical Circles for Teachers. There are numerous activities in each seminar that teachers can bring into their classrooms. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.--Publisher website.

CRC Standard Mathematical Tables and Formulae, 32nd Edition

Author : Daniel Zwillinger
Publisher : CRC Press
ISBN 13 : 1439835500
Total Pages : 792 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis CRC Standard Mathematical Tables and Formulae, 32nd Edition by : Daniel Zwillinger

Download or read book CRC Standard Mathematical Tables and Formulae, 32nd Edition written by Daniel Zwillinger and published by CRC Press. This book was released on 2011-06-22 with total page 792 pages. Available in PDF, EPUB and Kindle. Book excerpt: With over 6,000 entries, CRC Standard Mathematical Tables and Formulae, 32nd Edition continues to provide essential formulas, tables, figures, and descriptions, including many diagrams, group tables, and integrals not available online. This new edition incorporates important topics that are unfamiliar to some readers, such as visual proofs and sequences, and illustrates how mathematical information is interpreted. Material is presented in a multisectional format, with each section containing a valuable collection of fundamental tabular and expository reference material. New to the 32nd Edition A new chapter on Mathematical Formulae from the Sciences that contains the most important formulae from a variety of fields, including acoustics, astrophysics, epidemiology, finance, statistical mechanics, and thermodynamics New material on contingency tables, estimators, process capability, runs test, and sample sizes New material on cellular automata, knot theory, music, quaternions, and rational trigonometry Updated and more streamlined tables Retaining the successful format of previous editions, this comprehensive handbook remains an invaluable reference for professionals and students in mathematical and scientific fields.

Standard Arithmetic

Author : William James Milne
Publisher :
ISBN 13 :
Total Pages : 440 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis Standard Arithmetic by : William James Milne

Download or read book Standard Arithmetic written by William James Milne and published by . This book was released on 1892 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advanced Arithmetic for the Digital Computer

Author : Ulrich W. Kulisch
Publisher : Springer Science & Business Media
ISBN 13 : 3709105250
Total Pages : 151 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Advanced Arithmetic for the Digital Computer by : Ulrich W. Kulisch

Download or read book Advanced Arithmetic for the Digital Computer written by Ulrich W. Kulisch and published by Springer Science & Business Media. This book was released on 2012-09-07 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: The number one requirement for computer arithmetic has always been speed. It is the main force that drives the technology. With increased speed larger problems can be attempted. To gain speed, advanced processors and pro gramming languages offer, for instance, compound arithmetic operations like matmul and dotproduct. But there is another side to the computational coin - the accuracy and reliability of the computed result. Progress on this side is very important, if not essential. Compound arithmetic operations, for instance, should always deliver a correct result. The user should not be obliged to perform an error analysis every time a compound arithmetic operation, implemented by the hardware manufacturer or in the programming language, is employed. This treatise deals with computer arithmetic in a more general sense than usual. Advanced computer arithmetic extends the accuracy of the elementary floating-point operations, for instance, as defined by the IEEE arithmetic standard, to all operations in the usual product spaces of computation: the complex numbers, the real and complex intervals, and the real and complex vectors and matrices and their interval counterparts. The implementation of advanced computer arithmetic by fast hardware is examined in this book. Arithmetic units for its elementary components are described. It is shown that the requirements for speed and for reliability do not conflict with each other. Advanced computer arithmetic is superior to other arithmetic with respect to accuracy, costs, and speed.

Handbook of Floating-Point Arithmetic

Author : Jean-Michel Muller
Publisher : Springer Science & Business Media
ISBN 13 : 0817647058
Total Pages : 579 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Handbook of Floating-Point Arithmetic by : Jean-Michel Muller

Download or read book Handbook of Floating-Point Arithmetic written by Jean-Michel Muller and published by Springer Science & Business Media. This book was released on 2009-11-11 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: Floating-point arithmetic is the most widely used way of implementing real-number arithmetic on modern computers. However, making such an arithmetic reliable and portable, yet fast, is a very difficult task. As a result, floating-point arithmetic is far from being exploited to its full potential. This handbook aims to provide a complete overview of modern floating-point arithmetic. So that the techniques presented can be put directly into practice in actual coding or design, they are illustrated, whenever possible, by a corresponding program. The handbook is designed for programmers of numerical applications, compiler designers, programmers of floating-point algorithms, designers of arithmetic operators, and more generally, students and researchers in numerical analysis who wish to better understand a tool used in their daily work and research.

Digital Arithmetic

Author : Milos D. Ercegovac
Publisher : Elsevier
ISBN 13 : 1558607986
Total Pages : 736 pages
Book Rating : 4.5/5 (586 download)

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Book Synopsis Digital Arithmetic by : Milos D. Ercegovac

Download or read book Digital Arithmetic written by Milos D. Ercegovac and published by Elsevier. This book was released on 2004 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authoritative reference on the theory and design practice of computer arithmetic.

Computability and Logic

Author : George S. Boolos
Publisher : Cambridge University Press
ISBN 13 : 0521877520
Total Pages : 365 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Computability and Logic by : George S. Boolos

Download or read book Computability and Logic written by George S. Boolos and published by Cambridge University Press. This book was released on 2007-09-17 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fifth edition of 'Computability and Logic' covers not just the staple topics of an intermediate logic course such as Godel's incompleteness theorems, but also optional topics that include Turing's theory of computability and Ramsey's theorem.