100 Mathematical Proof PDF Download
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Author | : Rowan Garnier |
Publisher | : |
Total Pages | : 332 |
Release | : 1996-08 |
Genre | : Mathematics |
ISBN | : |
Download 100% Mathematical Proof Book in PDF, ePub and Kindle
"Proof" has been and remains one of the concepts which characterises mathematics. Covering basic propositional and predicate logic as well as discussing axiom systems and formal proofs, the book seeks to explain what mathematicians understand by proofs and how they are communicated. The authors explore the principle techniques of direct and indirect proof including induction, existence and uniqueness proofs, proof by contradiction, constructive and non-constructive proofs, etc. Many examples from analysis and modern algebra are included. The exceptionally clear style and presentation ensures that the book will be useful and enjoyable to those studying and interested in the notion of mathematical "proof."
Author | : John Taylor |
Publisher | : CRC Press |
Total Pages | : 414 |
Release | : 2016-04-19 |
Genre | : Mathematics |
ISBN | : 1466514914 |
Download Understanding Mathematical Proof Book in PDF, ePub and Kindle
The notion of proof is central to mathematics yet it is one of the most difficult aspects of the subject to teach and master. In particular, undergraduate mathematics students often experience difficulties in understanding and constructing proofs.Understanding Mathematical Proof describes the nature of mathematical proof, explores the various techn
Author | : Martin Aigner |
Publisher | : Springer Science & Business Media |
Total Pages | : 194 |
Release | : 2013-06-29 |
Genre | : Mathematics |
ISBN | : 3662223430 |
Download Proofs from THE BOOK Book in PDF, ePub and Kindle
According to the great mathematician Paul Erdös, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "perfect proofs," those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, analysis, combinatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics.
Author | : Gary Chartrand |
Publisher | : Pearson |
Total Pages | : 0 |
Release | : 2013 |
Genre | : Proof theory |
ISBN | : 9780321797094 |
Download Mathematical Proofs Book in PDF, ePub and Kindle
This book prepares students for the more abstract mathematics courses that follow calculus. The author introduces students to proof techniques, analyzing proofs, and writing proofs of their own. It also provides a solid introduction to such topics as relations, functions, and cardinalities of sets, as well as the theoretical aspects of fields such as number theory, abstract algebra, and group theory.
Author | : Andrew Wohlgemuth |
Publisher | : Courier Corporation |
Total Pages | : 385 |
Release | : 2014-06-10 |
Genre | : Mathematics |
ISBN | : 0486141683 |
Download Introduction to Proof in Abstract Mathematics Book in PDF, ePub and Kindle
The primary purpose of this undergraduate text is to teach students to do mathematical proofs. It enables readers to recognize the elements that constitute an acceptable proof, and it develops their ability to do proofs of routine problems as well as those requiring creative insights. The self-contained treatment features many exercises, problems, and selected answers, including worked-out solutions. Starting with sets and rules of inference, this text covers functions, relations, operation, and the integers. Additional topics include proofs in analysis, cardinality, and groups. Six appendixes offer supplemental material. Teachers will welcome the return of this long-out-of-print volume, appropriate for both one- and two-semester courses.
Author | : Nicholas A. Loehr |
Publisher | : CRC Press |
Total Pages | : 483 |
Release | : 2019-11-20 |
Genre | : Mathematics |
ISBN | : 1000709809 |
Download An Introduction to Mathematical Proofs Book in PDF, ePub and Kindle
An Introduction to Mathematical Proofs presents fundamental material on logic, proof methods, set theory, number theory, relations, functions, cardinality, and the real number system. The text uses a methodical, detailed, and highly structured approach to proof techniques and related topics. No prerequisites are needed beyond high-school algebra. New material is presented in small chunks that are easy for beginners to digest. The author offers a friendly style without sacrificing mathematical rigor. Ideas are developed through motivating examples, precise definitions, carefully stated theorems, clear proofs, and a continual review of preceding topics. Features Study aids including section summaries and over 1100 exercises Careful coverage of individual proof-writing skills Proof annotations and structural outlines clarify tricky steps in proofs Thorough treatment of multiple quantifiers and their role in proofs Unified explanation of recursive definitions and induction proofs, with applications to greatest common divisors and prime factorizations About the Author: Nicholas A. Loehr is an associate professor of mathematics at Virginia Technical University. He has taught at College of William and Mary, United States Naval Academy, and University of Pennsylvania. He has won many teaching awards at three different schools. He has published over 50 journal articles. He also authored three other books for CRC Press, including Combinatorics, Second Edition, and Advanced Linear Algebra.
Author | : Alfred North Whitehead |
Publisher | : |
Total Pages | : 696 |
Release | : 1910 |
Genre | : Logic, Symbolic and mathematical |
ISBN | : |
Download Principia Mathematica Book in PDF, ePub and Kindle
Author | : Joel David Hamkins |
Publisher | : MIT Press |
Total Pages | : 132 |
Release | : 2021-02-23 |
Genre | : Mathematics |
ISBN | : 0262362562 |
Download Proof and the Art of Mathematics Book in PDF, ePub and Kindle
How to write mathematical proofs, shown in fully-worked out examples. This is a companion volume Joel Hamkins's Proof and the Art of Mathematics, providing fully worked-out solutions to all of the odd-numbered exercises as well as a few of the even-numbered exercises. In many cases, the solutions go beyond the exercise question itself to the natural extensions of the ideas, helping readers learn how to approach a mathematical investigation. As Hamkins asks, "Once you have solved a problem, why not push the ideas harder to see what further you can prove with them?" These solutions offer readers examples of how to write a mathematical proofs. The mathematical development of this text follows the main book, with the same chapter topics in the same order, and all theorem and exercise numbers in this text refer to the corresponding statements of the main text.
Author | : Theodore A. Sundstrom |
Publisher | : Prentice Hall |
Total Pages | : 0 |
Release | : 2007 |
Genre | : Logic, Symbolic and mathematical |
ISBN | : 9780131877184 |
Download Mathematical Reasoning Book in PDF, ePub and Kindle
Focusing on the formal development of mathematics, this book shows readers how to read, understand, write, and construct mathematical proofs.Uses elementary number theory and congruence arithmetic throughout. Focuses on writing in mathematics. Reviews prior mathematical work with “Preview Activities” at the start of each section. Includes “Activities” throughout that relate to the material contained in each section. Focuses on Congruence Notation and Elementary Number Theorythroughout.For professionals in the sciences or engineering who need to brush up on their advanced mathematics skills. Mathematical Reasoning: Writing and Proof, 2/E Theodore Sundstrom
Author | : |
Publisher | : Bloomsbury Publishing USA |
Total Pages | : 65 |
Release | : 2004-05-01 |
Genre | : Mathematics |
ISBN | : 0802714315 |
Download Q.E.D. Book in PDF, ePub and Kindle
Q.E.D. presents some of the most famous mathematical proofs in a charming book that will appeal to nonmathematicians and math experts alike. Grasp in an instant why Pythagoras's theorem must be correct. Follow the ancient Chinese proof of the volume formula for the frustrating frustum, and Archimedes' method for finding the volume of a sphere. Discover the secrets of pi and why, contrary to popular belief, squaring the circle really is possible. Study the subtle art of mathematical domino tumbling, and find out how slicing cones helped save a city and put a man on the moon.