
Similar eBooks: eBooks related to Elementary Mathematics 
Electronic Transactions on Numerical Analysis
its book of mathematics on numerical analysis.
A Problem Course in Mathematical Logic
This book is a free text intended to be the basis for a problemoriented course(s) in mathematical logic and computability for students with some degree of mathematical sophistication. Parts I and II cover the basics of propositional and firstorder logic respectively, Part III covers the basics of computability using Turing machines and recursive functions, and Part IV covers Godel's Incompleteness Theorems. They can be used in various ways for courses of various lengths and mixes of material. The author typically uses Parts I and II for a oneterm course on mathematical logic, Part III for a oneterm course on computability, and/or much of Part III together with Part IV for a oneterm course on computability and incompleteness.
In keeping with the modified Mooremethod, this book supplies definitions, problems, and statements of results, along with some explanations, examples, and hints. The intent is for the students, individually or in groups, to learn the material by solving the problems and proving the results for themselves. Besides constructive criticism, it will probably be necessary for the instructor to supply further hints or direct the students to other sources from time to time. Just how this text is used will, of course, depend on the instructor and students in question. However, it is probably not appropriate for a conventional lecturebased course nor for a really large class.
Mathematics for Algorithm and Systems Analysis
Discrete mathematics is fundamental to computer science, and this uptodate text assists undergraduates in mastering the ideas and mathematical language to address problems that arise in the field's many applications. It consists of four units of study: counting and listing, functions, decision trees and recursion, and basic concepts of graph theory.
Discrete mathematics is an essential tool in almost all subareas of computer science. Interesting and challenging problems in discrete mathematics arise in programming languages, computer architecture, networking, distributed systems, database systems, AI, theoretical computer science, and other areas.
A Short Course in Discrete Mathematics
This publication was originally made in response to the students' need for a mathematics text related tot he study of computer science. This book does assume some familiarity of calculus.
Discrete mathematics is an essential tool in almost all subareas of computer science. Interesting and challenging problems in discrete mathematics arise in programming languages, computer architecture, networking, distributed systems, database systems, AI, theoretical computer science, and other areas.
The Unknowable (Discrete Mathematics and Theoretical Computer Science)
This essential companion volume to Chaitin's highly successful 'The Limits of Mathematics', also published by Springer, gives a brilliant historical survey of the work of this century on the foundations of mathematics, in which the author was a major participant. The Unknowable is a very readable and concrete introduction to Chaitin's ideas, and it includes a detailed explanation of the programming language used by Chaitin in both volumes. It will enable computer users to interact with the author's proofs and discover for themselves how they work. The software for The Unknowable can be downloaded from the author's Web site.
Mathematical Analysis I
This text covers the basic topics of undergraduate real analysis including metric spaces, open and closed sets, convergent sequences, function limits and continuity, compact sets, sequences and series of functions, power series, differentiation and integration, Taylor's theorem, total variation, rectifiable arcs, and sufficient conditions of integrability. Well over 500 exercises (many with extensive hints) assist students through the material. The text also contains background material on set theory, the real numbers (including consequences of the completeness axiom), and Euclidean and vector spaces,taken from the author's Basic Concepts of Mathematics.
This text is designed to be used as early as possible in the undergraduate curriculum; indeed, it was used for many years as the text for a twosemester class for secondyear mathematics majors at the University of Windsor. If desired, the material can easily be specialized to ndimensional (or even twodimensional) Euclidean space.
: Mathematical Foundations of Computer Science
: Mathematical Foundations of Computer Science
The Limits of Mathematics
This book is the final version of a course on algorithmic information theory and the epistemology of mathematics and physics. It discusses Einstein and Goedel's views on the nature of mathematics in the light of information theory, and sustains the thesis that mathematics is quasiempirical. There is a foreword by Cris Calude of the University of Auckland, and supplementary material is available at the author's web site. The special feature of this book is that it presents a new 'hands on' didatic approach using LISP and Mathematica software. The reader will be able to derive an understanding of the close relationship between mathematics and physics. 'The Limits of Mathematics is a very personal and idiosyncratic account of Greg Chaitin's entire career in developing algorithmic information theory.
Fundamentals of probability
This is a textbook on probability theory. It explains difficult topics such as Lebesgue integration in an intuitive manner.
Calculus Instructors Manual Chapter 16
Author : Gilbert Strang Type : pdf
Elementary Mathematics  Free eBook Elementary Mathematics  Download ebook Elementary Mathematics free


