e-books in Mathematical Proofs category
Proof in Mathematics: An Introductionby James Franklin, Albert Daoud - Kew Books , 2011
This is a small (98 page) textbook designed to teach mathematics and computer science students the basics of how to read and construct proofs. The book takes a straightforward, no nonsense approach to explaining the core technique of mathematics.
(13185 views)
Mathematical Reasoning: Writing and Proofby Ted Sundstrom - Pearson Education, Inc. , 2013
'Mathematical Reasoning' is designed to be a text for the first course in the college mathematics curriculum that introduces students to the processes of constructing and writing proofs and focuses on the formal development of mathematics.
(14199 views)
Proofs in Mathematicsby Alexander Bogomolny - Interactive Mathematics Miscellany and Puzzles , 2013
I'll distinguish between two broad categories. The first is characterized by simplicity. In the second group the proofs will be selected mainly for their charm. Most of the proofs in this book should be accessible to a middle grade school student.
(14059 views)
How To Write Proofsby Larry W. Cusick - California State University, Fresno , 2009
Proofs are the heart of mathematics. What is the secret? The short answer is: there is no secret, no mystery, no magic. All that is needed is some common sense and a basic understanding of a few trusted and easy to understand techniques.
(12985 views)
An Introduction to Mathematical Reasoningby Peter J. Eccles - Cambridge University Press , 2007
This book introduces basic ideas of mathematical proof to students embarking on university mathematics. The emphasis is on constructing proofs and writing clear mathematics. This is achieved by exploring set theory, combinatorics and number theory.
(14341 views)
An Introduction to Higher Mathematicsby Patrick Keef, David Guichard, Russ Gordon - Whitman College , 2010
Contents: Logic (Logical Operations, De Morgan's Laws, Logic and Sets); Proofs (Direct Proofs, Existence proofs, Mathematical Induction); Number Theory (The Euclidean Algorithm); Functions (Injections and Surjections, Cardinality and Countability).
(15822 views)
An Inquiry-Based Introduction to Proofsby Jim Hefferon - Saint Michael's College , 2013
Introduction to Proofs is a Free undergraduate text. It is inquiry-based, sometimes called the Moore method or the discovery method. It consists of a sequence of exercises, statements for students to prove, along with a few definitions and remarks.
(11184 views)
Book of Proofby 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.
(39183 views)
A Gentle Introduction to the Art of Mathematicsby 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).
(17794 views)
Proofs and Concepts: the fundamentals of abstract mathematicsby 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.
(16168 views)
Fundamental Concepts of Mathematicsby 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.
(19458 views)
Basic Concepts of Mathematicsby 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.
(18738 views)
A Introduction to Proofs and the Mathematical Vernacularby Martin Day - Virginia Tech , 2016
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.
(22228 views)