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Books > Science & Mathematics > Mathematics > Mathematical foundations > Set theory
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2021 Activity Book for Adults
- 365 Very Hard Variety Puzzles for Every Day of the Year: 12 Puzzle Types (Sudoku, Futoshiki, Battleships, Calcudoku, Binary Puzzle, Slitherlink, Killer Sudoku, Masyu, Jigsaw Sudoku, Minesweeper, Suguru, and Numbrix)
(Paperback)
Khalid Alzamili
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R308
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Kantorovich, the late Nobel Laureate, was a respected mathematical economist, and one of the founding fathers of linear programming. Part I begins with chapters on the theory of sets and real functions. Topics treated include universal functions, W.H. Young's classification, generalized derivatives of continuous functions and the H. Steinhaus problem. The book also includes papers on the theory of projective sets, general and particular methods of the extension of Hilbert space, and linear semi-ordered spaces. The author deals with a number of approximate calculations and solutions including a discussion of an approximate calculation of certain types of definite integrals, and also a method for the approximate solution of partial differential equations. In addition to this, the author looks at various other methods, including the Ritz method, the Galerkin method in relation to the reduction of differential equations and the Newton methods for functional equations. Towards the end of the book there are several chapters on computers.
In this book; the information on how to do what I am (Jeremiah
Semien) is doing to make it; in the enrtainment business.
Symmetric Boolean functions have played an important role in many
aspects of design automation for many years. This book summarizes
developments and provides a collection of new tools and techniques
that can be used to advance the study of Boolean functions.
Moreover, Boolean functions provide the necessary framework for
expressing the operation of logic gates, which are the key building
units for the accomplishment of signal processing tasks in
fundamental and system-oriented levels. The book concludes with a
discussion on how Boolean functions can be used to ensure the
minimum degree of logical functionality between light-wave
modulated signals.
While intuitionistic (or constructive) set theory IST has received
a certain attention from mathematical logicians, so far as I am
aware no book providing a systematic introduction to the subject
has yet been published. This may be the case in part because, as a
form of higher-order intuitionistic logic - the internal logic of a
topos - IST has been chiefly developed in a tops-theoretic context.
In particular, proofs of relative consistency with IST for
mathematical assertions have been (implicitly) formulated in topos-
or sheaf-theoretic terms, rather than in the framework of
Heyting-algebra-valued models, the natural extension to IST of the
well-known Boolean-valued models for classical set theory. In this
book I offer a brief but systematic introduction to IST which
develops the subject up to and including the use of
Heyting-algebra-valued models in relative consistency proofs. I
believe that IST, presented as it is in the familiar language of
set theory, will appeal particularly to those logicians,
mathematicians and philosophers who are unacquainted with the
methods of topos theory.
Introduction to Modern Set Theory is designed for a one-semester
course in set theory at the advanced undergraduate or beginning
graduate level. Three features are the full integration into the
text of the study of models of set theory, the use of illustrative
examples both in the text and in the exercises, and the integration
of consistency results and large cardinals into the text early on.
This book is aimed at two audiences: students who are interested in
studying set theory for its own sake, and students in other areas
who may be curious about applications of set theory to their field.
In particular, great care is taken to develop the intuitions that
lie behind modern, as well as classical, set theory, and to connect
set theory with the rest of mathematics.
Ernst Zermelo (1871-1953) is regarded as the founder of
axiomatic set theory and best-known for the first formulation of
the axiom of choice. However, his papers include also pioneering
work in applied mathematics and mathematical physics.
This edition of his collected papers will consist of two
volumes. Besides providing a biography, the present Volume I covers
set theory, the foundations of mathematics, and pure mathematics
and is supplemented by selected items from his Nachlass and part of
his translations of Homer's Odyssey. Volume II will contain his
work in the calculus of variations, applied mathematics, and
physics.
The papers are each presented in their original language
together with an English translation, the versions facing each
other on opposite pages. Each paper or coherent group of papers is
preceded by an introductory note provided by an acknowledged expert
in the field which comments on the historical background,
motivations, accomplishments, and influence.
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