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Building Proofs: A Practical Guide

Description:

"Chapter five is the shortest but the most interesting and helpful. I could see this as a book used for both a freshman seminar and a senior level capstone course . . . Students could use the book as a reference or exercises could be assigned from each chapter. I would also recommend this book to a senior math major planning on attending graduate school as a reference or for summer reading." Maa This book introduces students to the art and craft of writing proofs, beginning with the basics of writing proofs and logic, and continuing on with more in-depth issues and examples of creating proofs in different parts of mathematics, as well as introducing proofs-of-correctness for algorithms. The creation of proofs is covered for theorems in both discrete and continuous mathematics, and in difficulty ranging from elementary to beginning graduate level. Just beyond the standard introductory courses on calculus, theorems and proofs become central to mathematics. Students often find this emphasis difficult and new. This book is a guide to understanding and creating proofs. It explains the standard “moves” in mathematical proofs: direct computation, expanding definitions, proof by contradiction, proof by induction, as well as choosing notation and strategies.


Editorial Reviews

From the Back Cover

This book introduces students to the art and craft of writing proofs, beginning with the basics of writing proofs and logic, and continuing on with more in-depth issues and examples of creating proofs in different parts of mathematics, as well as introducing proofs-of-correctness for algorithms. The creation of proofs is covered for theorems in both discrete and continuous mathematics, and in difficulty ranging from elementary to beginning graduate level.

Just beyond the standard introductory courses on calculus, theorems and proofs become central to mathematics. Students often find this current emphasis difficult and new. This book is a guide to understanding and creating proofs. It explains the standard "moves" in mathematical proofs: direct computation, expanding definitions, proof by contradiction, proof by induction, as well as choosing notation and strategies.

Reviews:

5.0 out of 5 stars I encourage all students of mathematics, whether you're in ...

S. · October 23, 2015

(function() { P.when('cr-A', 'ready').execute(function(A) { if(typeof A.toggleExpanderAriaLabel === 'function') { A.toggleExpanderAriaLabel('review_text_read_more', 'Read more of this review', 'Read less of this review'); } }); })(); .review-text-read-more-expander:focus-visible { outline: 2px solid #2162a1; outline-offset: 2px; border-radius: 5px; } I encourage all students of mathematics, whether you're in a formal program or self-studying to seriously consider buying this book. It lays out the fundamentals of constructing proofs by carefully discussing the logic that underlies mathematical investigations and then uses various examples from the various areas of math to illustrate these logical principles.I feel this book would be an asset to everyone learning how to construct proofs. While there is no universal template or algorithm to apply to all proofs, at least this book shows you the fundamentals and the applications so you may build your own proofs.

5.0 out of 5 stars It worked and it was written in an easy to follow style

T. · July 14, 2018

I bought this book for my nephew who is in an engineering program to read over the summer in preparation for some higher division mathematics classes. It worked and it was written in an easy to follow style, according to him. Highly recommended!

Building Proofs: A Practical Guide

Product ID: U9814641308
Condition: New

4.1

AED16782

Price includes VAT & Import Duties
Type: Paperback
Availability: In Stock

Quantity:

|

Order today to get by 7-14 business days

Delivery fee of AED 20. Free for orders above AED 200.

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Imported From: United States

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Building Proofs: A Practical Guide

Product ID: U9814641308
Condition: New

4.1

Building Proofs: A Practical Guide-0
Type: Paperback

AED16782

Price includes VAT & Import Duties
Availability: In Stock

Quantity:

|

Order today to get by 7-14 business days

Delivery fee of AED 20. Free for orders above AED 200.

Returns & Warranty policies

Imported From: United States

At BOLO, we work hard to ensure the products you receive are new, genuine, and sourced from reputable suppliers.

BOLO is not an authorized or official retailer for most brands, nor are we affiliated with manufacturers unless specifically stated on a product page. Instead, we source verified sellers, authorized distributors or directly from the manufacturer.

Each product undergoes thorough inspection and verification at our consolidation and fulfilment centers to ensure it meets our strict authenticity and quality standards before being shipped and delivered to you.

If you ever have concerns regarding the authenticity of a product purchased from us, please contact Bolo Support. We will review your inquiry promptly and, if necessary, provide documentation verifying authenticity or offer a suitable resolution.

Your trust is our top priority, and we are committed to maintaining transparency and integrity in every transaction.

All product information, images, descriptions, and reviews originate from the manufacturer or from trusted sellers overseas. BOLO is not affiliated with, endorsed by, or an authorized retailer for most brands listed on our website unless stated otherwise.

While we strive to display accurate information, variations in packaging, labeling, instructions, or formulation may occasionally occur due to regional differences or supplier updates. For detailed or manufacturer-specific information, please contact the brand directly or reach out to BOLO Support for assistance.

Unless otherwise stated, all prices displayed on the product page include applicable taxes and import duties.

BOLO operates in accordance with the laws and regulations of United Arab Emirates. Any items found to be restricted or prohibited for sale within the UAE will be cancelled prior to shipment. We take proactive measures to ensure that only products permitted for sale in United Arab Emirates are listed on our website.

All items are shipped by air, and any products classified as “Dangerous Goods (DG)” under IATA regulations will be removed from the order and cancelled.

All orders are processed manually, and we make every effort to process them promptly once confirmed. Products cancelled due to the above reasons will be permanently removed from listings across the website.

Description:

"Chapter five is the shortest but the most interesting and helpful. I could see this as a book used for both a freshman seminar and a senior level capstone course . . . Students could use the book as a reference or exercises could be assigned from each chapter. I would also recommend this book to a senior math major planning on attending graduate school as a reference or for summer reading." Maa This book introduces students to the art and craft of writing proofs, beginning with the basics of writing proofs and logic, and continuing on with more in-depth issues and examples of creating proofs in different parts of mathematics, as well as introducing proofs-of-correctness for algorithms. The creation of proofs is covered for theorems in both discrete and continuous mathematics, and in difficulty ranging from elementary to beginning graduate level. Just beyond the standard introductory courses on calculus, theorems and proofs become central to mathematics. Students often find this emphasis difficult and new. This book is a guide to understanding and creating proofs. It explains the standard “moves” in mathematical proofs: direct computation, expanding definitions, proof by contradiction, proof by induction, as well as choosing notation and strategies.


Editorial Reviews

From the Back Cover

This book introduces students to the art and craft of writing proofs, beginning with the basics of writing proofs and logic, and continuing on with more in-depth issues and examples of creating proofs in different parts of mathematics, as well as introducing proofs-of-correctness for algorithms. The creation of proofs is covered for theorems in both discrete and continuous mathematics, and in difficulty ranging from elementary to beginning graduate level.

Just beyond the standard introductory courses on calculus, theorems and proofs become central to mathematics. Students often find this current emphasis difficult and new. This book is a guide to understanding and creating proofs. It explains the standard "moves" in mathematical proofs: direct computation, expanding definitions, proof by contradiction, proof by induction, as well as choosing notation and strategies.

Reviews:

5.0 out of 5 stars I encourage all students of mathematics, whether you're in ...

S. · October 23, 2015

(function() { P.when('cr-A', 'ready').execute(function(A) { if(typeof A.toggleExpanderAriaLabel === 'function') { A.toggleExpanderAriaLabel('review_text_read_more', 'Read more of this review', 'Read less of this review'); } }); })(); .review-text-read-more-expander:focus-visible { outline: 2px solid #2162a1; outline-offset: 2px; border-radius: 5px; } I encourage all students of mathematics, whether you're in a formal program or self-studying to seriously consider buying this book. It lays out the fundamentals of constructing proofs by carefully discussing the logic that underlies mathematical investigations and then uses various examples from the various areas of math to illustrate these logical principles.I feel this book would be an asset to everyone learning how to construct proofs. While there is no universal template or algorithm to apply to all proofs, at least this book shows you the fundamentals and the applications so you may build your own proofs.

5.0 out of 5 stars It worked and it was written in an easy to follow style

T. · July 14, 2018

I bought this book for my nephew who is in an engineering program to read over the summer in preparation for some higher division mathematics classes. It worked and it was written in an easy to follow style, according to him. Highly recommended!

Similar suggestions by Bolo

More from this brand

Similar items from “Discrete Mathematics”