Useful Mathematical Notes

There are many good notes available online which can be used for excelling in your mathematics. I will keep on adding new links as I get them.

S Kumaresan Expository articles
Keith Conrad Expository articles

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You're What You Think

Our thoughts hold incredible power. The way we think shapes the way we experience the world and how we interact with it. In essence, you are what you think. Suffering, for example, often stems from wrong thinking in some direction. When we allow negative or misguided thoughts to dominate our minds, they inevitably lead us to pain and discomfort. This suffering is not merely a consequence of external circumstances but rather a reflection of the inner turmoil caused by our thought patterns. Many of us believe that our thoughts are private and hidden from the outside world. However, this isn't entirely true. Over time, our thoughts crystallize into actions and habits. What starts as a fleeting thought can evolve into a behaviour that shapes our daily lives and, ultimately, our character. While we cannot directly change our circumstances at will, we have the power to choose our thoughts. By consciously directing our thoughts positively and constructively, we can gradually transform our...

Setbacks in life?

This week was a busy one for me. Three of my friends reached out to discuss different career and personal issues. Although the challenges were unique, they all had one thing in common: a major setback in life. Reflecting on those issues reminded me of a story about Steve Jobs. In 1985, Steve Jobs was ousted from Apple, the company he co-founded. Instead of letting this setback define him, Jobs founded a company named NeXT, where he focused on a minimalist, design-centric approach to technology. This shift in style was a turning point. When Jobs returned to Apple in 1997, he brought this vision with him. The result? Iconic products like the iMac, iPod, and iPhone, all characterized by their simplicity and user-centered design. These innovations not only revived Apple but also set new standards in the tech industry. Handling difficult situations in life is not easy. Let's try to view setbacks as a catalyst for reinvention. By embracing challenges and using them as opportunities to in...

Questioning Norms!

“Whenever you find yourself on the side of the majority, it is time to pause and reflect.” — Mark Twain. Following the crowd can sometimes distract us from what truly matters. When we find ourselves agreeing with popular opinion, it’s important to pause and think critically. Just because something is widely accepted doesn’t mean it’s right for everyone. Mob psychology reveals how group influence can cloud our judgment, leading to actions we wouldn’t normally take. Taking a moment to reflect helps us stay true to our own beliefs and values, allowing for more authentic decision-making. In a world full of trends, staying grounded in who we are leads to greater personal fulfillment and growth. Reflection: How do you ensure your decisions are based on your values, rather than peer or societal pressure?

Anshid Aboobacker

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