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Mathematical Proofs for Beginners: Direct, Contrapositive, and Contradiction (Superpowered Mathematics)

Description:

Unlock the Logic of Mathematics, One Proof at a Time.
Whether you're just beginning your mathematical journey or brushing up on fundamentals,
Mathematical Proofs for Beginners offers a crystal-clear, step-by-step guide to the most essential techniques of mathematical reasoning.

From the simplicity of direct proofs to the elegant power of contrapositive and contradiction, this book demystifies the core methods that every mathematician must master. With dozens of carefully selected examples and fully worked-out proofs, you'll not only learn how to prove theorems, you'll start to think like a mathematician.

Inside you'll discover:

  • The foundations of mathematical rigor using even, odd, rational, and prime numbers

  • Direct proof strategies for building logical arguments from scratch

  • Contrapositive and contradiction techniques that simplify the seemingly impossible

  • Mixed methods that blend multiple proof styles for deeper insight

  • Clear explanations, intuitive structure, and a learner-friendly tone

Written by The Math Sorcerer, a bestselling author and YouTube educator with millions of followers, this book brings clarity and confidence to anyone looking to understand the “why” behind the math.

Perfect for high school students, college beginners, math enthusiasts, or anyone who’s ever felt intimidated by proofs. With this book, you'll go from confusion to clarity, one elegant argument at a time.


Reviews:

5.0 out of 5 stars Great read

S. · July 30, 2025

(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; } Been reading a few books about math proofs and this was definitely high among the best ranked proof techniques books I read

4.0 out of 5 stars Many examples for each style of proof, but not a lot of details on how to write them.

N. · May 22, 2025

Maybe I need a more basic approach. I was kind of hoping for a book which included how to use the “up and down” method of devising an outline of a proof before actually writing the final version. I appreciated the fact that you included the logical arguments for each method of proof. It clearly shows how they are related.I will use this book for practice. Starting by copying down each proposition and then copying down the proof. Then, I will start again by writing down the proposition and try to write the proof again by myself, in my own words and style. That seems like a good approach to using this book. If anyone has another technique on how to study this book, please let me know by responding with a comment. Thanks!

Nothing to see here

j.k. · September 16, 2025

(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 think this book was probably generated by an LLM. There’s nothing especially wrong, but there’s also nothing useful. 29 pages with a few examples of proofs.

Mathematical Proofs for Beginners: Direct, Contrapositive, and Contradiction (Superpowered Mathematics)

Product ID: UO0S2A914U5
Condition: New

3.8

AED7837

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.

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.

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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.

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Mathematical Proofs for Beginners: Direct, Contrapositive, and Contradiction (Superpowered Mathematics)

Product ID: UO0S2A914U5
Condition: New

3.8

Mathematical Proofs for Beginners: Direct, Contrapositive, and Contradiction (Superpowered Mathematics)-0
Type: Paperback

AED7837

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:

Unlock the Logic of Mathematics, One Proof at a Time.
Whether you're just beginning your mathematical journey or brushing up on fundamentals,
Mathematical Proofs for Beginners offers a crystal-clear, step-by-step guide to the most essential techniques of mathematical reasoning.

From the simplicity of direct proofs to the elegant power of contrapositive and contradiction, this book demystifies the core methods that every mathematician must master. With dozens of carefully selected examples and fully worked-out proofs, you'll not only learn how to prove theorems, you'll start to think like a mathematician.

Inside you'll discover:

  • The foundations of mathematical rigor using even, odd, rational, and prime numbers

  • Direct proof strategies for building logical arguments from scratch

  • Contrapositive and contradiction techniques that simplify the seemingly impossible

  • Mixed methods that blend multiple proof styles for deeper insight

  • Clear explanations, intuitive structure, and a learner-friendly tone

Written by The Math Sorcerer, a bestselling author and YouTube educator with millions of followers, this book brings clarity and confidence to anyone looking to understand the “why” behind the math.

Perfect for high school students, college beginners, math enthusiasts, or anyone who’s ever felt intimidated by proofs. With this book, you'll go from confusion to clarity, one elegant argument at a time.


Reviews:

5.0 out of 5 stars Great read

S. · July 30, 2025

(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; } Been reading a few books about math proofs and this was definitely high among the best ranked proof techniques books I read

4.0 out of 5 stars Many examples for each style of proof, but not a lot of details on how to write them.

N. · May 22, 2025

Maybe I need a more basic approach. I was kind of hoping for a book which included how to use the “up and down” method of devising an outline of a proof before actually writing the final version. I appreciated the fact that you included the logical arguments for each method of proof. It clearly shows how they are related.I will use this book for practice. Starting by copying down each proposition and then copying down the proof. Then, I will start again by writing down the proposition and try to write the proof again by myself, in my own words and style. That seems like a good approach to using this book. If anyone has another technique on how to study this book, please let me know by responding with a comment. Thanks!

Nothing to see here

j.k. · September 16, 2025

(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 think this book was probably generated by an LLM. There’s nothing especially wrong, but there’s also nothing useful. 29 pages with a few examples of proofs.

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