They bridge an important gap.
Physics used to be called Natural Philosophy back in the day because it offers models of natural processes. However, the laws of physics are expressed as beautiful but complex mathematical equations. Some of us love these equations while being aware that it can be hard work to understand them. Yet, when Stephen Hawking was writing A Brief History of Time, he was famously told his readership would halve with every equation, because many otherwise intelligent readers are afraid of maths.
Dr. Carroll challenges that truism head-on. This series presents physics for "amateurs" with an appropriate leavening of mathematics. The books assume the reader would have some high-school mathematics—enough to follow and understand the physics.
Of necessity, such an approach cannot be rigorous because that would take it into textbook territory with the supplying of proofs of whys and wherefores. A textbook would also present hundreds of problems. These books don't. But the author doesn't ignore the conceptual underpinnings of the equations of physics. So, he threads a very narrow path, where he produces the equations and coherent explanations of their underlying realities, without delving into the precursor maths. For example, Carroll doesn't state the rules of differentiation, or integration, or complex numbers and vector algebra. But he does use the relevant equations and explains the specifics of the derivation of momentum, how differential equations work, and the laws of motion.
この記事は Business Standard の December 11, 2024 版に掲載されています。
7 日間の Magzter GOLD 無料トライアルを開始して、何千もの厳選されたプレミアム ストーリー、9,000 以上の雑誌や新聞にアクセスしてください。
すでに購読者です ? サインイン
この記事は Business Standard の December 11, 2024 版に掲載されています。
7 日間の Magzter GOLD 無料トライアルを開始して、何千もの厳選されたプレミアム ストーリー、9,000 以上の雑誌や新聞にアクセスしてください。
すでに購読者です? サインイン
Gukesh draws against Liren in 13th game
Indian Grandmaster D Gukesh (pictured) tried his best but could not break past a resilient defending champion Ding Liren of China and had to settle for a draw after 68 moves in the 13th and penultimate game of the World Chess championship on Wednesday.
Indian tourist boom spurs revival in US hotel revenues
US hotels and travel companies are aiming to tap a surge in Indian tourists to boost revenue as domestic leisure spending falters and demand from East Asian countries remains below pre-pandemic levels.
First human gene therapy for Hemophilia A now in India
Offering hope to around 136,000 Hemophilia A patients in India, the Department of Biotechnology (DBT) along with the Centre of Stem Cell Research (CSCR) at Christian Medical College (CMC), Vellore announced that they have successfully executed a first-in-human gene therapy using lentiviral vectors for the disease.
Pollution levels drop across India as weather improves
Pollution levels across the country are declining due to changing weather conditions.
Willow sets the stage for AI's quantum leap
With Google announcing the milestone of Willow—a state-of-the-art quantum computing chip that can solve complex problems in under five minutes, a computation so complex it would have taken a supercomputer around 10 septillion years to complete—tech experts believe this breakthrough could impact artificial intelligence (AI), particularly by making it more accessible to the masses.
Content overload causing indigestion
PRASOON JOSHI (53) began as a writer in his teens, did an MBA and then got into advertising. From Daag Ache hain (Surf Excel) to Thanda Matlab Coca-Cola, his work shone with an Indianness that changed the way marketers spoke to consumers. His second foray into writing, as a lyricist (Taare Zameen Par, Delhi 6, etc), dialogue writer (Rang De Basanti) and then a scriptwriter (Bhaag Milkha Bhaag) has been successful. In 2017, he became the head of the Central Board for Film Certification (CBFC). In November this year, Joshi forayed into theatre, with Rajadhiraaj: Love. Life. Leela., a musical depicting the journey of Shri Krishna. In a video interview, Vanita Kohli-Khandekar spoke to Joshi about the play and other things. Edited excerpts:
STAR TREK
As Mercedes completes three decades in India, its three-pointed star sits atop the luxury table. What drives it?
UNREGULATED BOND PLATFORM MENACE Go with regulated entity: Listed bonds subject to ratings, oversight
The Securities and Exchange Board of India (Sebi), through a circular dated December 5, 2024, warned investors against transacting on unregulated online bond platforms that promote unlisted securities.
AI-first, low-cost leader: Bajaj Fin's path to FY29
Bajaj Finance (BFL) shares rose 3.3 per cent intraday to ₹7,165 apiece before closing 2.6 per cent higher (₹7,116) on the BSE on Wednesday.
Day 1: MobiKwik booked 7x, Vishal Mega Mart gets 51% subscription
The initial public offering (IPO) of One MobiKwik Systems was subscribed 7.3 times on Wednesday, on the first day of offer.