The Basic Laws of Arithmetic: Exposition of the System, Frege Gottlob, Furth Montgomery
Автор: Frege Gottlob, Furth Montgomery Название: The Basic Laws of Arithmetic: Exposition of the System ISBN: 0520307992 ISBN-13(EAN): 9780520307995 Издательство: Wiley Рейтинг: Цена: 5511.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This title is part of UC Press's Voices Revived program, which commemorates University of California Press's mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1964.
Автор: Petr Hajek Название: Metamathematics of First-Order Arithmetic ISBN: 1107168414 ISBN-13(EAN): 9781107168411 Издательство: Cambridge Academ Рейтинг: Цена: 16743.00 р. 23918.00-30% Наличие на складе: Есть (1 шт.) Описание: This much-needed monograph on the metamathematics of first-order arithmetic pays particular attention to subsystems (fragments) of Peano arithmetic and gives the reader a deeper understanding of the role of the axiom schema of induction and of the phenomenon of incompleteness.
Описание: First published in 1982, this reissue contains a critical exposition of the views of Frege, Dedekind and Peano on the foundations of arithmetic.
Автор: Nelson Edward Название: Predicative Arithmetic. (MN-32): ISBN: 0691610290 ISBN-13(EAN): 9780691610290 Издательство: Wiley Рейтинг: Цена: 5544.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book develops arithmetic without the induction principle, working in theories that are interpretable in Raphael Robinson`s theory Q. Certain inductive formulas, the bounded ones, are interpretable in Q. A mathematically strong, but logically very weak, predicative arithmetic is constructed. Originally published in 1986. The Princeton Legacy
Описание: Are you looking for the perfect preschool math workbook for your child to learn the numbers while having fun at it? Do you wish to keep your child engaged while learning basic additions and subtractions without losing attention? If so, then read on...
The Fun Preschool Math Workbook For Toddlers is the perfect workbook to getting your child started in learning the numbers and basic math skills such as number recognition, number tracing, number counting, and simple arithmetic computations. As a mother first, then as an experienced educator, I know how difficult it is to get your child to focus while being taught the numbers. It is for this reason I made this book, very easy to use with lots of different activities that are not only educational but also fun and engaging enough to keep the attention of your child going.
This book comes in a perfectly sized 8.5" x 11" and provides just the perfect headstart to help any child ages 2 to 5 year olds, preschoolers, pre-k, and kindergarten in developing their reading, handwriting, and math abilities, with several spaces for your kids to learn and practice the exercises provided.
To get the most out of this book, I divided the book into parts that are in logical arrangement to make it easy to follow through with your child. Below are what your child would learn for each part:
In Part I, your child will:
1. Learn how to recognize numbers and number words, how they are formed, and with lots of traces to help your child form each of them. Fun illustrations are also provided to help your child recognize and memorize each number. Likewise, number coloring activities are included to create a more engaging learning experience and with several blank practice exercises to enable your child to write each number and number word on their own.
In Part II, your child will:
2. Learn how to count and match numbers using several engaging pictures, e.g., animals, shapes, and coloring activities, thus providing an extra fun learning experience for your child.
In Part III, your child will:
3. Learn how to perform lots of basic maths such as additions and subtractions using several fun-filled educational activities and illustrations.
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Lastly, a certificate of completion is provided at the end of the workbook, which can be presented to your child upon successfully completing the pages of this book.
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Автор: Sticker Henry Название: How to Calculate Quickly: Full Course in Speed Arithmetic ISBN: 1607964201 ISBN-13(EAN): 9781607964209 Издательство: Неизвестно Рейтинг: Цена: 2068.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Felscher, Walter Название: Logic of Arithmetic ISBN: 0367398575 ISBN-13(EAN): 9780367398576 Издательство: Taylor&Francis Рейтинг: Цена: 9798.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: For propositional logic it can be decided whether a formula has a deduction from a finite set of other formulaas. This volume begins with a method to decide this for the quantified formulas of those fragments of arithmetic which express the properties of order-plus-successor and of order-plus-addition (Pressburger arithmetic). It makes use of an algorithm eliminating quantifiers which, in turn, is also applied to obtain consistency proofs for these fragments.
Автор: Yong Cheng Название: Incompleteness for Higher-Order Arithmetic ISBN: 9811399484 ISBN-13(EAN): 9789811399480 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Нет в наличии.
Описание:
G?del's true-but-unprovable sentence from the first incompleteness theorem is purely logical in nature, i.e. not mathematically natural or interesting. An interesting problem is to find mathematically natural and interesting statements that are similarly unprovable. A lot of research has since been done in this direction, most notably by Harvey Friedman. A lot of examples of concrete incompleteness with real mathematical content have been found to date. This brief contributes to Harvey Friedman's research program on concrete incompleteness for higher-order arithmetic and gives a specific example of concrete mathematical theorems which is expressible in second-order arithmetic but the minimal system in higher-order arithmetic to prove it is fourth-order arithmetic.
This book first examines the following foundational question: are all theorems in classic mathematics expressible in second-order arithmetic provable in second-order arithmetic? The author gives a counterexample for this question and isolates this counterexample from the Martin-Harrington Theorem in set theory. It shows that the statement “Harrington's principle implies zero sharp' is not provable in second-order arithmetic. This book further examines what is the minimal system in higher-order arithmetic to prove the theorem “Harrington's principle implies zero sharp' and shows that it is neither provable in second-order arithmetic or third-order arithmetic, but provable in fourth-order arithmetic. The book also examines the large cardinal strength of Harrington's principle and its strengthening over second-order arithmetic and third-order arithmetic.
Автор: Muller Jean-Michel, Brunie Nicolas, De Dinechin Florent Название: Handbook of Floating-Point Arithmetic ISBN: 3030095134 ISBN-13(EAN): 9783030095130 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This handbook is a definitive guide to the effective use of modern floating-point arithmetic, which has considerably evolved, from the frequently inconsistent floating-point number systems of early computing to the recent IEEE 754-2008 standard. Most of computational mathematics depends on floating-point numbers, and understanding their various implementations will allow readers to develop programs specifically tailored for the standard’s technical features. Algorithms for floating-point arithmetic are presented throughout the book and illustrated where possible by example programs which show how these techniques appear in actual coding and design.
The volume itself breaks its core topic into four parts: the basic concepts and history of floating-point arithmetic; methods of analyzing floating-point algorithms and optimizing them; implementations of IEEE 754-2008 in hardware and software; and useful extensions to the standard floating-point system, such as interval arithmetic, double- and triple-word arithmetic, operations on complex numbers, and formal verification of floating-point algorithms. This new edition updates chapters to reflect recent changes to programming languages and compilers and the new prevalence of GPUs in recent years. The revisions also add material on fused multiply-add instruction, and methods of extending the floating-point precision.
As supercomputing becomes more common, more numerical engineers will need to use number representation to account for trade-offs between various parameters, such as speed, accuracy, and energy consumption. The Handbook of Floating-Point Arithmetic is designed for students and researchers in numerical analysis, programmers of numerical algorithms, compiler designers, and designers of arithmetic operators.
Описание: This book is mostly comprised of six sets of notes for lectures Hilbert gave from 1917 to 1933. The notes cover the development of modern mathematical logic, the evolution of proof theory, and the parallel emergence of Hilbert`s finitist standpoint.
Автор: C. Berline; K. McAloon; J.-P. Ressayre Название: Model Theory and Arithmetic ISBN: 354011159X ISBN-13(EAN): 9783540111597 Издательство: Springer Рейтинг: Цена: 5583.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Michael D. Fried; Moshe Jarden Название: Field Arithmetic ISBN: 3540772693 ISBN-13(EAN): 9783540772699 Издательство: Springer Рейтинг: Цена: 22354.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Field Arithmetic explores Diophantine fields through their absolute Galois groups. The treatment starts with techniques from algebraic geometry, number theory, and profinite groups. Graduate students can effectively learn generalizations of finite field ideas.
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