• Title: Mathematical Reasoning: Writing and Proof
• Author(s) Ted Sundstrom
• Publisher: CreateSpace, (June 11, 2014); eBook (version 2.1, June 19, 2014)
• Paperback: 680 pages
• eBook: PDF Files
• Language: English
• ISBN-10: 1500143413
• ISBN-13: 978-1500143411
• Share This:  

Book Description

This is a text for the first college mathematics course that introduces students to the processes of constructing and writing proofs and focuses on the formal development of mathematics.

The primary goals of the text are to help students: Develop logical thinking skills and to develop the ability to think more abstractly in a proof oriented setting. Develop the ability to construct and write mathematical proofs using standard methods of mathematical proof including direct proofs, proof by contradiction, mathematical induction, case analysis, and counterexamples.

Important features of the book include: Emphasis on writing in mathematics instruction in the process of constructing proofs Emphasis on active learning. Includes material needed for further study in mathematics.

• Richard Hammack is an associate professor of mathematics at Virginia Commonwealth University in Richmond, Virginia. A native of rural southern Virginia, he studied painting at Rhode Island School of Design before an interest in computer graphics and visualization led him to mathematics. He works mostly in the areas of combinatorics and graph theory.

• Amazon

• General and Miscellaneous Mathematics
• Mathematical Logic - Set Theory, Model Theory, Proof Theory, Computability, etc.
• Miscellaneous and Uncategorized Books

• Mathematical Reasoning: Writing and Proof (Ted Sundstrom)
• The Mirror Site (1) - HTML and PDF

• Book of Proof, 3rd Edition (Richard H. Hammack)

  This book is an introduction to the language and standard proof methods of mathematics. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra.

• Logical Reasoning (Bradley H. Dowden)

  The goal of this book is to improve your logical-reasoning skills. Your most important critical thinking skill is your skill at making judgments-not snap judgments that occur in the blink of an eye, but those that require careful reasoning.

• A Concise Introduction to Mathematical Logic (W. Rautenberg)

  This is a well-written introduction to the beautiful and coherent subject of mathematical logic. It contains classical material such as logical calculi, beginnings of model theory, and Goedel's incompleteness theorems, as well as some topics motivated by applications.

• Introduction to Mathematical Logic (Vilnis Detlovs, et al)

  This book explores the principal topics of mathematical logic. It covers propositional logic, first-order logic, first-order number theory, axiomatic set theory, and the theory of computability. Discusses the major results of Gödel, Church, Kleene, Rosser, and Turing.

• A Friendly Introduction to Mathematical Logic (Chris Leary)

  In this user-friendly book, readers with no previous study in the field are introduced to the basics of model theory, proof theory, and computability theory, leading to rigorous proofs of Gödel's First and Second Incompleteness Theorems.

• Inductive Logic Programming: Techniques and Applications

  This book is an introduction to inductive logic programming (ILP), which aims at a formal framework as well as practical algorithms for inductively learning relational descriptions in the form of logic programs.

• Mathematical Aspects of Logic Programming Semantics

  This book discusses applications of Logic Programming to computational logic and potential applications to the integration of models of computation, knowledge representation and reasoning, and the Semantic Web.

• Logic Programming in Scheme (Nils M. Holm)

  Questions answered in this little book: What is logic programming? Why is negation hard in logic programming? What is cutting? How do I solve logic puzzles? How is logic programming implemented?

• The Haskell Road to Logic, Maths and Programming (Kees Doets)

  The purpose of this book is to teach logic and mathematical reasoning in practice, and to connect logical reasoning with computer programming. Haskell is based on a logical theory of computable functions called the lambda calculus.

• Logic, Programming and Prolog, 2nd Edition (Ulf Nilsson, et al)

  This book introduces major new developments in a continually evolving field and includes such topics as concurrency and equational and constraint logic programming.

• An Introduction to Logic Programming Through Prolog (J. Spivey)

  This is one of the few texts that combines three essential theses in the study of logic programming: logic, programming, and implementation. The techniques are illustrated by practical examples to explain how logic programming can be implented efficiently.