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Introduction To Modern Mathematics


Introduction To Modern Mathematics
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Introduction To Modern Mathematics


Introduction To Modern Mathematics
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Author : Helena Rasiowa
language : en
Publisher: Elsevier
Release Date : 2014-05-12

Introduction To Modern Mathematics written by Helena Rasiowa and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-12 with Mathematics categories.


Introduction to Modern Mathematics focuses on the operations, principles, and methodologies involved in modern mathematics. The monograph first tackles the algebra of sets, natural numbers, and functions. Discussions focus on groups of transformations, composition of functions, an axiomatic approach to natural numbers, intersection of sets, axioms of the algebra of sets, fields of sets, prepositional functions of one variable, and difference of sets. The text then takes a look at generalized unions and intersections of sets, Cartesian products of sets, and equivalence relations. The book ponders on powers of sets, ordered sets, and linearly ordered sets. Topics include isomorphism of linearly ordered sets, dense linear ordering, maximal and minimal elements, quasi-ordering relations, inequalities for cardinal numbers, sets of the power of the continuum, and Cantor's theorem. The manuscript then examines elementary concepts of abstract algebras, functional calculus and its applications in mathematical proofs, and propositional calculus and its applications in mathematical proofs. The publication is a valuable reference for mathematicians and researchers interested in modern mathematics.



An Introduction To Modern Mathematical Computing


An Introduction To Modern Mathematical Computing
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Author : Jonathan M. Borwein
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-08-07

An Introduction To Modern Mathematical Computing written by Jonathan M. Borwein and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-07 with Mathematics categories.


Thirty years ago mathematical, as opposed to applied numerical, computation was difficult to perform and so relatively little used. Three threads changed that: the emergence of the personal computer; the discovery of fiber-optics and the consequent development of the modern internet; and the building of the Three “M’s” Maple, Mathematica and Matlab. We intend to persuade that Mathematica and other similar tools are worth knowing, assuming only that one wishes to be a mathematician, a mathematics educator, a computer scientist, an engineer or scientist, or anyone else who wishes/needs to use mathematics better. We also hope to explain how to become an "experimental mathematician" while learning to be better at proving things. To accomplish this our material is divided into three main chapters followed by a postscript. These cover elementary number theory, calculus of one and several variables, introductory linear algebra, and visualization and interactive geometric computation.



An Introduction To Modern Mathematics


An Introduction To Modern Mathematics
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Author : Elbridge Putnam Vance
language : en
Publisher:
Release Date : 1968

An Introduction To Modern Mathematics written by Elbridge Putnam Vance and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Mathematics categories.




Concepts Of Modern Mathematics


Concepts Of Modern Mathematics
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Author : Ian Stewart
language : en
Publisher: Courier Corporation
Release Date : 2012-05-23

Concepts Of Modern Mathematics written by Ian Stewart and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-23 with Mathematics categories.


In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.



Introduction To Modern Mathematics


Introduction To Modern Mathematics
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Author : Herbert Meschkowski
language : en
Publisher:
Release Date : 1968

Introduction To Modern Mathematics written by Herbert Meschkowski and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Mathematics categories.




Elements Of Modern Mathematics


Elements Of Modern Mathematics
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Author : Kenneth O, May
language : en
Publisher: Dover Publications
Release Date : 2019-11-13

Elements Of Modern Mathematics written by Kenneth O, May and has been published by Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-13 with Mathematics categories.


An unusually thoughtful and well-constructed introduction to the serious study of mathematics, this book requires no background beyond high school courses in plane geometry and elementary algebra. From that starting point, it is designed to lead readers willing to work through its exercises and problems to the achievement of basic mathematical literacy. The text provides a fundamental orientation in modern mathematics, an essential vocabulary of mathematical terms, and some facility in the use of mathematical concepts and symbols. From there, readers will be equipped to move on to more serious work, and they'll be well on the way to having the tools essential for work in the physical sciences, engineering, and the biological and social sciences. Starting with elementary treatments of algebra, logic, and set theory, the book advances to explorations of plane analytic geometry, relations and functions, numbers, and calculus. Subsequent chapters discuss probability, statistical inference, and abstract mathematical theories. Each section is enhanced with exercises in the text and problems at the end. Answers to the exercises and some of the problems are included at the end of each section.



Modern Mathematics For The Engineer First Series


Modern Mathematics For The Engineer First Series
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Author : Edwin F. Beckenbach
language : en
Publisher: Courier Corporation
Release Date : 2013-01-01

Modern Mathematics For The Engineer First Series written by Edwin F. Beckenbach and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-01 with Technology & Engineering categories.


This volume and its successor were conceived to advance the level of mathematical sophistication in the engineering community, focusing on material relevant to solving the kinds of problems regularly confronted. Volume One's three-part treatment covers mathematical models, probabilistic problems, and computational considerations. Contributors include Solomon Lefschetz, Richard Courant, and Norbert Wiener. 1956 edition.



A Classical Introduction To Modern Number Theory


A Classical Introduction To Modern Number Theory
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Author : Kenneth Ireland
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

A Classical Introduction To Modern Number Theory written by Kenneth Ireland and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.


Bridging the gap between elementary number theory and the systematic study of advanced topics, A Classical Introduction to Modern Number Theory is a well-developed and accessible text that requires only a familiarity with basic abstract algebra. Historical development is stressed throughout, along with wide-ranging coverage of significant results with comparatively elementary proofs, some of them new. An extensive bibliography and many challenging exercises are also included. This second edition has been corrected and contains two new chapters which provide a complete proof of the Mordell-Weil theorem for elliptic curves over the rational numbers, and an overview of recent progress on the arithmetic of elliptic curves.



Basic Concepts In Modern Mathematics


Basic Concepts In Modern Mathematics
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Author : John Edward Hafstrom
language : en
Publisher: Courier Corporation
Release Date : 2013-01-01

Basic Concepts In Modern Mathematics written by John Edward Hafstrom and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-01 with Mathematics categories.


An in-depth overview of some of the most readily applicable essentials of modern mathematics, this concise volume is geared toward undergraduates of all backgrounds as well as future math majors. Topics include the natural numbers; sets, variables, and statement forms; mappings and operations; groups; relations and partitions; integers; and rational and real numbers. 1961 edition.



A Modern Introduction To Ancient Indian Mathematics


A Modern Introduction To Ancient Indian Mathematics
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Author : T. S. Bhanu Murthy
language : en
Publisher: New Age International
Release Date : 1993

A Modern Introduction To Ancient Indian Mathematics written by T. S. Bhanu Murthy and has been published by New Age International this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Hindu mathematics categories.


The Purpose Of This Book Is To Draw The Attention Of Students And Teachers Of Mathematics To The Historical Continuity Of Indian Mathematics, Starting From The Sulba Sutras Of The Vedas Up To The 17Th Century. The Book Includes Proofs, Not Presented So Far, Of The Propositions Stated In The Well-Known Treatise Vedic Mathematics By Sri Bharati Krishna Teertha. It Also Introduces To The Modern Reader The Work Of Aryabhata, Brahmagupta, Bhaskara And Madhava.