Engineering Mathematics

The third edition of this book continues to demonstrate how to apply probability theory to gain insight into real, everyday statistical problems and situations. As in the previous editions, carefully developed coverage of probability motivates probabilistic models of real phenomena and the statistical procedures that follow. This approach ultimately resultsin an intuitive understanding of statistical procedures and strategies most often used by practicing engineers and scientists.This book has been written for an introductory course in statistics, or in probability and statistics, for ...

The techniques of Vedic Mathematics have helped millions of students all over the world get rid of their fear of numbers and improve their scores in quantitative subjects.

Where do we learn math: From rules in a textbook? From logic and deduction? Not really, according to mathematician Eugenia Cheng: we learn it from human curiosity—most importantly, from asking questions. This may come as a surprise to those who think that math is about finding the one right answer, or those who were told that the “dumb” question they asked just proved they were bad at math. But Cheng shows why people who ask questions like “Why does 1 + 1 = 2?” are at the very heart of the search for mathematical truth.

Mathematical Mindsets provides practical strategies and activities to help teachers and parents show all children, even those who are convinced that they are bad at math, that they can enjoy and succeed in math. Jo Boaler - Stanford researcher, professor of math education, and expert on math learning - has studied why students don't like math and often fail in math classes. She's followed thousands of students through middle and high schools to study how they learn and to find the most effective ways to unleash the math potential in all students.

Aubrey Clayton traces the history of how statistics went astray, beginning with the groundbreaking work of the 17th-century mathematician Jacob Bernoulli and winding through gambling, astronomy, and genetics. Clayton recounts the feuds among rival schools of statistics, exploring the surprisingly human problems that gave rise to the discipline and the all-too-human shortcomings that derailed it.

The brain is made up of 85 billion neurons, which are connected by over 100 trillion synapses. For over a century, a diverse array of researchers have been trying to find a language that can be used to capture the essence of what these neurons do and how they communicate - and how those communications create thoughts, perceptions, and actions. The language they were looking for was mathematics, and we would not be able to understand the brain as we do today without it.

Math has a reputation for being inaccessible. People think that it requires a special gift or that comprehension is a matter of genes. Yet, the greatest mathematicians throughout history, from Rene Descartes to Alexander Grothendieck, have insisted that this is not the case.

Many people take math in high school and promptly forget much of it. But math plays a part in all of our lives all of the time, whether we know it or not. In The Joy of x, Steven Strogatz expands on his hit New York Times series to explain the big ideas of math gently and clearly, with wit, and insight.

This book reveals how statistics and probability are fundamental to our everyday lives—from advertisements to public opinion polls, weather forecasts to government policies, scientific research to stock market information. Haim Shapira then presents a myriad of anecdotes, riddles, case studies and practical exercises in his trademark witty voice to guide the listner through the importance of statistics and probability in everyday life.

#1 INTERNATIONAL BESTSELLER AN ADAM SAVAGE BOOK CLUB PICK The book-length answer to anyone who ever put their hand up in math class and asked, “When am I ever going to use this in the real world?” “Fun, informative, and relentlessly entertaining, Humble Pi is a charming and very readable...

Whether pondering black holes or predicting discoveries at CERN, physicists believe the best theories are beautiful, natural, and elegant, and this standard separates popular theories from disposable ones. This is why, Sabine Hossenfelder argues, we have not seen a major breakthrough in the foundations of physics for more than four decades. The belief in beauty has become so dogmatic that it now conflicts with scientific objectivity: Observation has been unable to confirm mindboggling theories, like supersymmetry or grand unification, invented by physicists based on aesthetic criteria.

Think in Sets – A Beginner’s Guide to Discrete Maths is a friendly, simple, and clear introduction to the most important subject in computer science: Discrete Mathematics. Written especially for beginners, this book removes fear and confusion and replaces them with confidence and clarity. Whether you are a first-year engineering student, a computer science learner, or someone returning to math after years, this book explains each concept in an easy, intuitive, and learner-friendly way—without sacrificing correctness.

Bertrand Russell wrote that mathematics can exalt "as surely as poetry". This is especially true of one equation: ei(pi) + 1 = 0, the brainchild of Leonhard Euler, the Mozart of mathematics. More than two centuries after Euler's death, it is still regarded as a conceptual diamond of unsurpassed beauty. Called Euler's identity, or God's equation, it includes just five numbers but represents an astonishing revelation of hidden connections.

Should you watch public television without pledging? Exceed the posted speed limit? Hop a subway turnstile without paying? These questions illustrate the "prisoner's dilemma", a social puzzle that we all face every day. Though the answers may seem simple, their profound implications make the prisoner's dilemma one of the great unifying concepts of science. Watching poker players bluff inspired John von Neumann to construct game theory, a mathematical study of conflict and deception.

Why does mathematics—a creation of the human mind—describe the physical world with such extraordinary precision? Why do equations invented for one purpose turn out, decades or centuries later, to be the perfect language for a completely different realm of nature? In 1960, the Nobel laureate Eugene Wigner called this correspondence a 'gift we neither understand nor deserve.' The question has haunted science ever since. In this book, Boris Kriger proposes an answer that is at once simple and profound: mathematics describes the world because only the mathematically structured survives.

To his colleagues, Richard Feynman was not so much a genius as he was a full-blown magician: someone who “does things that nobody else could do and that seem completely unexpected.” The path he cleared for twentieth-century physics led from the making of the atomic bomb to a Nobel...

In Calculating the Cosmos, Ian Stewart presents an exhilarating guide to the cosmos, from our solar system to the entire universe. He describes the architecture of space and time, dark matter and dark energy, how galaxies form, why stars implode, how everything began, and how it's all going to end. He considers parallel universes, the fine-tuning of the cosmos for life, what forms extraterrestrial life might take, and the likelihood of life on Earth being snuffed out by an asteroid.

Are you fascinated by the cosmos and eager to explore the quantum realm without complex equations? Curious about wave-particle duality or how quantum theories impact everyday life, from computing to futuristic tech? Quantum Physics Simplified breaks down mind-bending concepts into engaging, easy-to-follow explanations, making the quantum world accessible to anyone with a curious mind.

A brilliant research mathematician reveals math to be a creative art form on par with painting, poetry, and sculpture, and rejects the standard anxiety-producing teaching methods used in most schools today. Witty and accessible, Paul Lockhart's controversial approach will provoke spirited debate among educators and parents alike, altering the way we think about math forever.

It is no doubt that engineering has always been one of the most sought-after career opportunities for aspirants, driving them towards a rigorous preparation in order to crack any engineering entrance exams. "Mathematics for IIT-JEE (Mains & Advanced), Vol. 4 of 4" is a Sachan Series of our best-in-class study guides useful for IIT-JEE (Mains and Advanced). It is divided into 20 chapters, accompanying complete text material and practice exercises, along with workbook exercises coupled with each theory. It is housed with more than 5000 MCQs and a brilliant collection of previous years’ ...