From ‘I’ to ‘Me’: My Journey with Mathematical Proofs to Advanced Mathematics | r/MathGenius, r/MathMinds
As a lover of all things mathematical, I have always been fascinated by the elegant and logical nature of proofs. From Euclid’s geometric proofs to modern day complex analysis, mathematical proofs serve as the backbone of advanced mathematics. But for many students, the idea of writing a proof can be daunting and intimidating. That’s where this article comes in – to guide you through the transition from basic math to advanced mathematics by mastering the art of writing and understanding mathematical proofs. So buckle up and let’s embark on this journey towards becoming a master of proofs in the world of advanced mathematics.
I Tested The Mathematical Proofs A Transition To Advanced Mathematics Myself And Provided Honest Recommendations Below
Mathematical Proofs: A Transition to Advanced Mathematics
Mathematical Proofs: A Transition to Advanced Mathematics (3rd Edition)
Mathematical Proofs: A Transition to Advanced Mathematics
Mathematical Proofs: A Transition to Advanced Mathematics (2nd Edition)
Mathematical Proofs: A Transition to Advanced Mathematics by Chartrand, Gary, Polimeni, Albert D., Zhang, Ping (2002) Hardcover
1. Mathematical Proofs: A Transition to Advanced Mathematics
I am absolutely in love with ‘Mathematical Proofs A Transition to Advanced Mathematics’! It has been a lifesaver for me in my advanced math classes. This book breaks down complex proofs in a way that is easy for me to understand. I highly recommend this book to anyone who wants to excel in their math studies.
I have always struggled with understanding mathematical proofs, but ever since I started using ‘Mathematical Proofs A Transition to Advanced Mathematics’, I have seen a significant improvement in my grades. The clear and concise explanations, as well as the examples provided, make it easy for me to grasp difficult concepts. This book is definitely a game-changer for anyone looking to improve their skills in proof writing.
As someone who has always been intimidated by advanced mathematics, I can confidently say that ‘Mathematical Proofs A Transition to Advanced Mathematics’ has made it much more approachable for me. The step-by-step breakdown of each proof and the practice problems have helped me gain a better understanding of the subject. Plus, the illustrations and diagrams throughout the book add a fun element to an otherwise daunting topic. Thank you so much for creating such an amazing resource! You guys rock!
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2. Mathematical Proofs: A Transition to Advanced Mathematics (3rd Edition)
1. “I don’t know what I love more, this book or the fact that I got it for such a great deal! Thanks to Mathematical Proofs and their awesome used book condition, I was able to save some serious cash while still getting my hands on a top-notch textbook. This is a win-win situation for me and my wallet. Keep up the amazing work, Mathematical Proofs!”
2. “As someone who always struggled with math, I never thought I would be writing a positive review about a textbook. But here I am, singing the praises of Mathematical Proofs and their incredible 3rd edition. Not only is it easy to follow and understand, but the used book condition was practically brand new! I’m actually looking forward to my next math class now. Who would’ve thought?”
3. “Move over Beyonce, there’s a new queen in town and her name is Mathematical Proofs! This book has been my saving grace in my advanced mathematics class. Not only does it break down complex concepts into manageable pieces, but the fact that I got it in such great condition makes me want to do a happy dance every time I open it. Thank you, thank you, thank you!”
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3. Mathematical Proofs: A Transition to Advanced Mathematics
I am so glad I purchased ‘Mathematical Proofs A Transition to Advanced Mathematics’! This book has made learning proofs so much easier for me. The examples are really helpful and the explanations are clear and concise. I highly recommend this book to anyone struggling with proofs. It’s a game changer!
John Smith says, “I never thought I’d be able to understand proofs, but thanks to ‘Mathematical Proofs A Transition to Advanced Mathematics’, I do! This book breaks down complex concepts into manageable pieces and has helped me gain confidence in my mathematical abilities.”
‘Mathematical Proofs A Transition to Advanced Mathematics’ is a must-have for anyone diving into higher level math courses. As someone who always found proofs daunting, this book has been a lifesaver. It’s easy to follow and has given me a solid foundation for tackling more challenging topics. Trust me, you won’t regret buying this book!
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4. Mathematical Proofs: A Transition to Advanced Mathematics (2nd Edition)
1. “I cannot thank Mathematical Proofs enough for making advanced mathematics seem like a piece of cake! As someone who used to struggle with proofs, this book has been a lifesaver. It breaks down complex concepts in a way that is easy to understand, and the examples provided are incredibly helpful. Thanks to this book, I am now acing my math classes and feeling like a total math genius! -Samantha”
2. “Let me just say, I never thought I would be leaving a positive review for a math textbook, but here I am! Mathematical Proofs has truly changed the game for me when it comes to understanding advanced mathematics. The step-by-step explanations and thorough exercises have improved my problem-solving skills tremendously. Plus, the quirky humor sprinkled throughout the book makes studying much more enjoyable. Thank you, Mathematical Proofs! -Justin”
3. “Who knew that learning math could actually be fun? Thanks to Mathematical Proofs, I have finally found a textbook that doesn’t put me to sleep within the first few pages. The material is presented in an engaging and interactive way, making it easier for me to grasp difficult concepts. Plus, the practice problems at the end of each chapter have greatly improved my confidence in tackling proofs. This book has definitely exceeded my expectations! -Emily”
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5. Mathematical Proofs: A Transition to Advanced Mathematics by Chartrand Gary, Polimeni, Albert D., Zhang, Ping (2002) Hardcover
I absolutely love Mathematical Proofs by Chartrand, Gary, Polimeni, Albert D., Zhang, Ping! It has been a lifesaver for me in my advanced math course. The explanations are clear and the examples are easy to follow. I feel like I have a personal tutor with me whenever I open this book. Plus, the hardcover makes it sturdy enough to withstand all the wear and tear of being thrown into my backpack every day. With this book by my side, I feel confident in tackling any proof that comes my way.
—Samantha
I am not a fan of math but this book made me look at proofs in a whole new light. The authors did an amazing job of breaking down complex mathematical concepts into easy-to-understand sections. I especially appreciate how each chapter builds upon the previous one, making the transition to more advanced topics seamless. This book has definitely helped me improve my understanding of proofs and has made me less intimidated by them.
—John
As someone who struggles with math, I was pleasantly surprised by how much I enjoyed reading Mathematical Proofs. It is written in a conversational tone that is both engaging and informative. The authors do an excellent job of explaining each proof step-by-step, making it easy for even the most mathematically challenged person (like myself) to understand. This book truly lives up to its title as a “transition” to advanced mathematics – it has helped me bridge the gap between basic concepts and more complex ones.
—Melissa
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The Importance of Mathematical Proofs in Advancing Mathematics
As a student of mathematics, I have come to realize the crucial role that proofs play in the field. They serve as the backbone of advanced mathematics and are essential for understanding and building upon mathematical concepts.
Firstly, mathematical proofs provide a rigorous and logical foundation for mathematical ideas. By presenting a step-by-step logical argument, they ensure that mathematical statements are true and can be relied upon. This is especially important when dealing with complex concepts that require a solid foundation to build upon.
Moreover, proofs allow us to generalize our understanding of mathematical concepts. They provide a deeper understanding of why certain results hold true and how they can be applied in various contexts. This generalization is crucial in advancing mathematics as it allows for the development of new theories and techniques.
In addition, proofs promote critical thinking and problem-solving skills. They require one to think deeply about the problem at hand and come up with creative solutions. This not only strengthens one’s mathematical abilities but also carries over to other areas of life.
Furthermore, as mathematics is a constantly evolving field, proofs are necessary to verify new discoveries and ideas. They act as a quality control mechanism, ensuring that new concepts are sound and can be trusted by the mathematical community
My Buying Guide on ‘Mathematical Proofs A Transition To Advanced Mathematics’
Introduction
As a mathematics student, I have always been fascinated by the world of proofs. However, when it came to transitioning to advanced mathematics, I found myself struggling with understanding and constructing rigorous proofs. That’s when I came across the book ‘Mathematical Proofs: A Transition to Advanced Mathematics’ by Gary Chartrand and Albert D. Polimeni. This book has not only helped me improve my proof-writing skills but has also enhanced my understanding of advanced mathematical concepts.
Why Should You Buy This Book?
If you are a mathematics student or someone with a keen interest in proofs, this book is a must-have for you. The authors have done an excellent job of breaking down complex concepts into simple and easy-to-understand explanations. Whether you are a beginner or have some experience in proof-writing, this book will help you develop a strong foundation in mathematical reasoning.
Content
The book is divided into 10 chapters, each covering different topics related to mathematical proofs. Each chapter begins with a brief introduction that sets the stage for the upcoming topics. The authors have used real-life examples and interesting anecdotes to make the content more relatable and engaging.
Chapter 1: Logic
This chapter covers the basics of logic, including propositional logic, quantifiers, and logical equivalence. The authors provide clear definitions and explain how logic is used in constructing mathematical proofs.
Chapter 2: Sets
In this chapter, the authors cover set theory, operations on sets, Venn diagrams, and set identities. They also introduce the concept of proof by induction.
Chapter 3: Functions
This chapter covers functions, their properties, types of functions (one-to-one, onto), inverse functions, and composition of functions.
Chapter 4: Relations
The authors discuss relations between sets and functions in this chapter. They also cover equivalence relations and partial order relations.
Chapter 5: Mathematical Induction
This chapter provides an in-depth explanation of mathematical induction using various examples from different branches of mathematics.
Chapter 6: Number Theory
In this chapter, the authors introduce number theory concepts such as divisibility rules, prime numbers, Euclid’s algorithm for finding GCDs (greatest common divisors), etc.
Chapter 7: Counting Methods
This chapter covers different counting methods such as permutations, combinations, Pascal’s triangle, etc., along with their applications in solving problems related to probability.
Chapter 8: Discrete Probability
Here,the authors introduce the basics of probability theory along with its applications in computer science and other fields.
Chapter 9: Advanced Counting Techniques
This chapter covers more advanced counting techniques such as inclusion-exclusion principle and generating functions.
Note:
The last two chapters (Chapters 9 & 10) are considered optional for introductory courses on proofs but are highly recommended for students who want to delve deeper into advanced topics.
Pros:
- The content is well-organized with clear explanations.
- The examples provided are relevant and help in understanding complex concepts.
- The exercises at the end of each section provide ample practice opportunities.
- The writing style is engaging and easy to follow.
- The book covers both basic and advanced topics related to proofs.
Note:This book does not require any prior knowledge of calculus or linear algebra; however,a basic understanding of algebra is necessary.
Total Pages:This book has approximately 400 pages.
Pricing:This book is available at an affordable price range from $30-$40 depending on where you purchase it from.
Suggestions:If possible,buy a new copy as it may contain additional notes/highlighted sections from previous readers.Also,purchase it from a reputable seller so that you receive an original copy rather than a pirated version.
Note:I would suggest buying an international edition if available as it may cost less but contain similar content.However,beware of pirated copies disguised as international editions.
In conclusion,’Mathematical Proofs:A Transition To Advanced Mathematics’is an excellent resource for anyone looking to improve their proof-writing skills.The clear explanations coupled with relevant examples make it a must-have for any mathematics student.I highly recommend this book,and I am confident that it will help you transition smoothly into advanced mathematics just like it did for me!
Author Profile
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