Proofs from THE BOOK

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.

Produk Detail:

  • Author : Martin Aigner
  • Publisher : Springer Science & Business Media
  • Pages : 199 pages
  • ISBN : 3662223430
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKProofs from THE BOOK

Proofs from THE BOOK

Proofs from THE BOOK
  • Author : Martin Aigner,Günter M. Ziegler
  • Publisher : Springer Science & Business Media
  • Release : 29 June 2013
GET THIS BOOKProofs from THE BOOK

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.

Understanding Mathematical Proof

Understanding Mathematical Proof
  • Author : John Taylor,Rowan Garnier
  • Publisher : CRC Press
  • Release : 19 April 2016
GET THIS BOOKUnderstanding Mathematical Proof

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

Proof and the Art of Mathematics

Proof and the Art of Mathematics
  • Author : Joel David Hamkins
  • Publisher : Unknown Publisher
  • Release : 23 February 2021
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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

Mathematical Proofs

Mathematical Proofs
  • Author : Gary Chartrand,Albert D. Polimeni,Ping Zhang
  • Publisher : Pearson Educacion
  • Release : 16 May 2021
GET THIS BOOKMathematical Proofs

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.

Introduction to Mathematical Proofs

Introduction to Mathematical Proofs
  • Author : Charles Roberts
  • Publisher : Chapman and Hall/CRC
  • Release : 24 June 2009
GET THIS BOOKIntroduction to Mathematical Proofs

Shows How to Read & Write Mathematical Proofs Ideal Foundation for More Advanced Mathematics Courses Introduction to Mathematical Proofs: A Transition facilitates a smooth transition from courses designed to develop computational skills and problem solving abilities to courses that emphasize theorem proving. It helps students develop the skills necessary to write clear, correct, and concise proofs. Unlike similar textbooks, this one begins with logic since it is the underlying language of mathematics and the basis of reasoned arguments. The text then

How to Read and Do Proofs

How to Read and Do Proofs
  • Author : Daniel Solow
  • Publisher : Wiley
  • Release : 05 December 1991
GET THIS BOOKHow to Read and Do Proofs

This straightforward guide describes the main methods used to prove mathematical theorems. Shows how and when to use each technique such as the contrapositive, induction and proof by contradiction. Each method is illustrated by step-by-step examples. The Second Edition features new chapters on nested quantifiers and proof by cases, and the number of exercises has been doubled with answers to odd-numbered exercises provided. This text will be useful as a supplement in mathematics and logic courses. Prerequisite is high-school algebra.

Book of Proof

Book of Proof
  • Author : Richard H. Hammack
  • Publisher : Unknown Publisher
  • Release : 01 January 2016
GET THIS BOOKBook of Proof

This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a

Mathematical Analysis and Proof

Mathematical Analysis and Proof
  • Author : David S G Stirling
  • Publisher : Horwood Publishing
  • Release : 14 May 2009
GET THIS BOOKMathematical Analysis and Proof

This fundamental and straightforward text addresses a weakness observed among present-day students, namely a lack of familiarity with formal proof. Beginning with the idea of mathematical proof and the need for it, associated technical and logical skills are developed with care and then brought to bear on the core material of analysis in such a lucid presentation that the development reads naturally and in a straightforward progression. Retaining the core text, the second edition has additional worked examples which users

Mathematical Reasoning

Mathematical Reasoning
  • Author : Ted Sundstrom
  • Publisher : Unknown Publisher
  • Release : 11 June 2014
GET THIS BOOKMathematical Reasoning

Mathematical Reasoning: Writing and Proof is a text for the ?rst 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

The Nuts and Bolts of Proofs

The Nuts and Bolts of Proofs
  • Author : Antonella Cupillari
  • Publisher : Academic Press
  • Release : 16 May 2021
GET THIS BOOKThe Nuts and Bolts of Proofs

The Nuts and Bolts of Proofs instructs students on the primary basic logic of mathematical proofs, showing how proofs of mathematical statements work. The text provides basic core techniques of how to read and write proofs through examples. The basic mechanics of proofs are provided for a methodical approach in gaining an understanding of the fundamentals to help students reach different results. A variety of fundamental proofs demonstrate the basic steps in the construction of a proof and numerous examples

Journey into Mathematics

Journey into Mathematics
  • Author : Joseph J. Rotman
  • Publisher : Courier Corporation
  • Release : 18 January 2013
GET THIS BOOKJourney into Mathematics

This treatment covers the mechanics of writing proofs, the area and circumference of circles, and complex numbers and their application to real numbers. 1998 edition.

100% Mathematical Proof

100% Mathematical Proof
  • Author : Rowan Garnier,John Taylor
  • Publisher : John Wiley & Son Limited
  • Release : 01 August 1996
GET THIS BOOK100% Mathematical Proof

"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

Logic, Sets and the Techniques of Mathematical Proofs

Logic, Sets and the Techniques of Mathematical Proofs
  • Author : Brahima Mbodje Ph. D.
  • Publisher : AuthorHouse
  • Release : 01 June 2011
GET THIS BOOKLogic, Sets and the Techniques of Mathematical Proofs

As its title indicates, this book is about logic, sets and mathematical proofs. It is a careful, patient and rigorous introduction for readers with very limited mathematical maturity. It teaches the reader not only how to read a mathematical proof, but also how to write one. To achieve this, we carefully lay out all the various proof methods encountered in mathematical discourse, give their logical justifications, and apply them to the study of topics [such as real numbers, relations, functions,

Discrete Mathematics

Discrete Mathematics
  • Author : Rowan Garnier,John Taylor
  • Publisher : Taylor & Francis
  • Release : 09 November 2009
GET THIS BOOKDiscrete Mathematics

Taking an approach to the subject that is suitable for a broad readership, Discrete Mathematics: Proofs, Structures, and Applications, Third Edition provides a rigorous yet accessible exposition of discrete mathematics, including the core mathematical foundation of computer science. The approach is comprehensive yet maintains an easy-to-follow progression from the basic mathematical ideas to the more sophisticated concepts examined later in the book. This edition preserves the philosophy of its predecessors while updating and revising some of the content. New to