[PDF] An Introduction To Modern Mathematics eBook

Author : Ian Stewart
Publisher : Courier Corporation
Page : 367 pages
File Size : 20,71 MB
Release : 2012-05-23
Category : Mathematics
ISBN : 0486134954

GET BOOK

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.

Author : Helena Rasiowa
Publisher : Elsevier
Page : 352 pages
File Size : 16,64 MB
Release : 2014-05-12
Category : Mathematics
ISBN : 1483274721

GET BOOK

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.

Author : Jonathan M. Borwein
Publisher : Springer Science & Business Media
Page : 237 pages
File Size : 46,17 MB
Release : 2012-08-07
Category : Mathematics
ISBN : 1461442532

GET BOOK

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.

Author : Kenneth O, May
Publisher : Dover Publications
Page : 627 pages
File Size : 32,68 MB
Release : 2019-11-13
Category : Mathematics
ISBN : 0486836576

GET BOOK

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.

Author : Edwin F. Beckenbach
Publisher : Courier Corporation
Page : 545 pages
File Size : 50,40 MB
Release : 2013-01-01
Category : Technology & Engineering
ISBN : 0486497461

GET BOOK

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.

Author : John Edward Hafstrom
Publisher : Courier Corporation
Page : 209 pages
File Size : 43,33 MB
Release : 2013-01-01
Category : Mathematics
ISBN : 0486497291

GET BOOK

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.

Author : Donald Bindner
Publisher : CRC Press
Page : 269 pages
File Size : 50,55 MB
Release : 2010-11-29
Category : Mathematics
ISBN : 1439846073

GET BOOK

A Student's Guide to the Study, Practice, and Tools of Modern Mathematics provides an accessible introduction to the world of mathematics. It offers tips on how to study and write mathematics as well as how to use various mathematical tools, from LaTeX and Beamer to Mathematica and Maple to MATLAB and R. Along with a color insert, the text include