Pure Mathematics

e-books in this category

Blast Into Math!
by Julie Rowlett - BookBoon , 2013
This is a fun and rigorous introduction to pure mathematics, suitable for both students and a general audience interested in learning what pure mathematics is all about. Presented in a friendly, accessible, and nonetheless rigorous style.
(822 views)

Super Special Codes using Super Matrices
by W.B.V. Kandasamy, F. Smarandache, K.Ilanthenral - arXiv , 2010
Basic properties of codes and super matrices are given. New type of super special vector space is constructed. Three new classes of super special codes namely, super special row code, super special column code and super special codes are introduced.
(2912 views)

Surreal Numbers: An Introduction
by Claus Tondering , 2005
This text will provide the readers with a free and accessible introduction to a very fascinating subject. The author is not a mathematician by profession, the book shows that pure mathematics is not that complicated once you get down to the rules.
(4085 views)

Book of Proof
by Richard Hammack - Virginia Commonwealth University , 2009
This textbook is an introduction to the standard methods of proving mathematical theorems. It is written for an audience of mathematics majors at Virginia Commonwealth University, and is intended to prepare the students for more advanced courses.
(17174 views)

A Gentle Introduction to the Art of Mathematics
by Joseph Fields - Southern Connecticut State University , 2009
The point of this book is to help you with the transition from doing math at an elementary level (concerned mostly with solving problems) to doing math at an advanced level (which is much more concerned with axiomatic systems and proving statements).
(13904 views)

Proofs and Concepts: the fundamentals of abstract mathematics
by Dave Witte Morris, Joy Morris - University of Lethbridge , 2009
This undergraduate textbook provides an introduction to proofs, logic, sets, functions, and other fundamental topics of abstract mathematics. It is designed to be the textbook for a bridge course that introduces undergraduates to abstract mathematics.
(9059 views)

Fundamental Concepts of Mathematics
by Farshid Hajir - University of Massachusetts , 2005
Problem Solving, Inductive vs. Deductive Reasoning, An introduction to Proofs; Logic and Sets; Sets and Maps; Counting Principles and Finite Sets; Relations and Partitions; Induction; Number Theory; Counting and Uncountability; Complex Numbers.
(9540 views)

Foundations of Mathematics
by Stephen G. Simpson - Pennsylvania State University , 2008
These are lecture notes for an introductory graduate-level course in foundations of mathematics. The topics covered are: computability, unsolvable problems, undecidability of the natural number system, decidability of the real number system, etc.
(9040 views)

Basic Concepts of Mathematics
by Elias Zakon - The Trillia Group , 2007
The book will help students complete the transition from purely manipulative to rigorous mathematics. It covers basic set theory, induction, quantifiers, functions and relations, equivalence relations, properties of the real numbers, fields, etc.
(14617 views)

Practical Foundations of Mathematics
by Paul Taylor - Cambridge University Press , 1999
It explains the basis of mathematical reasoning both in pure mathematics itself and in computer science. In addition to the formal logic, this volume examines the relationship between computer languages and plain English mathematical proofs.
(8685 views)

A Introduction to Proofs and the Mathematical Vernacular
by Martin Day , 2009
The book helps students make the transition from freshman-sophomore calculus to more proof-oriented upper-level mathematics courses. Another goal is to train students to read more involved proofs they may encounter in textbooks and journal articles.
(10136 views)