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A Textbook of Engineering Mathematics
N.P. Bali - 2010
The salient features of the book are as follows: It exactly covers the prescribed syllabus. Nothing undesirable has been included and nothing essential has been left. Its approach is explanatory and language is lucid and communicable. The exposition of the subject matter is systematic and the students are better prepared to solve the problems. All fundamentals of the included topics are explained with a micro-analysis. Sufficient number of solved examples have been given to let the students understand the various skills necessary to solve the problems. These examples are well-graded. Unsolved exercises of multi-varieties have been given in a well-graded style. Attempting those on his own, will enable a student to create confidence and independence in him/her regarding the understanding of the subject. Daily life problems and practical applications have been incorporated in the body of the text. A large number of attractive and accurate figures have been drawn which enable a student to grasp the subject in an easier way. All the answers have been checked and verified. About The Author: N.P. Bali is a prolific author of over 100 books for degree and engineering students. He has been writing books for more than forty years. His books on the following topics are well known for their easy comprehension and lucid presentation: Algebra, Trigonometry, Differential Calculus, Integral Calculus, Real Analysis, Co-ordinate Geometry, Statics, Dynamics etc. Dr. Manish Goyal has been associated with
Connectome: How the Brain's Wiring Makes Us Who We Are
Sebastian Seung - 2012
Is it in our genes? The structure of our brains? Our genome may determine our eye color and even aspects of our personality. But our friendships, failures, and passions also shape who we are. The question is: how?Sebastian Seung, a dynamic professor at MIT, is on a quest to discover the biological basis of identity. He believes it lies in the pattern of connections between the brain’s neurons, which change slowly over time as we learn and grow. The connectome, as it’s called, is where our genetic inheritance intersects with our life experience. It’s where nature meets nurture.Seung introduces us to the dedicated researchers who are mapping the brain’s connections, neuron by neuron, synapse by synapse. It is a monumental undertaking—the scientific equivalent of climbing Mount Everest—but if they succeed, it could reveal the basis of personality, intelligence, memory, and perhaps even mental disorders. Many scientists speculate that people with anorexia, autism, and schizophrenia are "wired differently," but nobody knows for sure. The brain’s wiring has never been clearly seen.In sparklingly clear prose, Seung reveals the amazing technological advances that will soon help us map connectomes. He also examines the evidence that these maps will someday allow humans to "upload" their minds into computers, achieving a kind of immortality.Connectome is a mind-bending adventure story, told with great passion and authority. It presents a daring scientific and technological vision for at last understanding what makes us who we are. Welcome to the future of neuroscience.
Fun with Roman Numerals
David A. Adler - 2008
Built in MMVIII. Roman numerals are everywhere---on clocks, in books, and on buildings. But what do Roman numerals mean, and how does one use them? Fun with Roman Numerals is a straightforward and appealing introduction to a timely topic. On a scale of I to X, it's an XI!
Einstein's Heroes: Imagining the World Through the Language of Mathematics
Robyn Arianrhod - 2004
Einstein's Heroes takes you on a journey of discovery about just such a miraculous language--the language of mathematics--one of humanity's mostamazing accomplishments. Blending science, history, and biography, this remarkable book reveals the mysteries of mathematics, focusing on the life and work of three of Albert Einstein's heroes: Isaac Newton, Michael Faraday, and especially James Clerk Maxwell, whose work directly inspired the theory of relativity. RobynArianrhod bridges the gap between science and literature, portraying mathematics as a language and arguing that a physical theory is a work of imagination involving the elegant and clever use of this language. The heart of the book illuminates how Maxwell, using the language of mathematics in a newand radical way, resolved the seemingly insoluble controversy between Faraday's idea of lines of force and Newton's theory of action-at-a-distance. In so doing, Maxwell not only produced the first complete mathematical description of electromagnetism, but actually predicted the existence of theradio wave, teasing it out of the mathematical language itself. Here then is a fascinating look at mathematics: its colorful characters, its historical intrigues, and above all its role as the uncannily accurate language of nature.
The Trouble with Physics: The Rise of String Theory, the Fall of a Science and What Comes Next
Lee Smolin - 2006
For more than two centuries, our understanding of the laws of nature expanded rapidly. But today, despite our best efforts, we know nothing more about these laws than we knew in the 1970s. Why is physics suddenly in trouble? And what can we do about it?One of the major problems, according to Smolin, is string theory: an ambitious attempt to formulate a “theory of everything” that explains all the particles and forces of nature and how the universe came to be. With its exotic new particles and parallel universes, string theory has captured the public’s imagination and seduced many physicists.But as Smolin reveals, there’s a deep flaw in the theory: no part of it has been tested, and no one knows how to test it. In fact, the theory appears to come in an infinite number of versions, meaning that no experiment will ever be able to prove it false. As a scientific theory, it fails. And because it has soaked up the lion’s share of funding, attracted some of the best minds, and effectively penalized young physicists for pursuing other avenues, it is dragging the rest of physics down with it.With clarity, passion, and authority, Smolin charts the rise and fall of string theory and takes a fascinating look at what will replace it. A group of young theorists has begun to develop exciting ideas that, unlike string theory, are testable. Smolin not only tells us who and what to watch for in the coming years, he offers novel solutions for seeking out and nurturing the best new talent—giving us a chance, at long last, of finding the next Einstein.
What Is Real?: The Unfinished Quest for the Meaning of Quantum Physics
Adam Becker - 2018
But ask what it means, and the result will be a brawl. For a century, most physicists have followed Niels Bohr's Copenhagen interpretation and dismissed questions about the reality underlying quantum physics as meaningless. A mishmash of solipsism and poor reasoning, Copenhagen endured, as Bohr's students vigorously protected his legacy, and the physics community favored practical experiments over philosophical arguments. As a result, questioning the status quo long meant professional ruin. And yet, from the 1920s to today, physicists like John Bell, David Bohm, and Hugh Everett persisted in seeking the true meaning of quantum mechanics. What Is Real? is the gripping story of this battle of ideas and of the courageous scientists who dared to stand up for truth.
Mathematics 1001: Absolutely Everything That Matters in Mathematics in 1001 Bite-Sized Explanations
Richard Elwes - 2010
Distilled into 1001 mini-essays arranged thematically, this unique book moves steadily from the basics through to the most advanced areas of math, making it the ideal guide for both the beginner and the math wiz.The book covers all of the fundamental mathematical disciplines:Geometry Numbers Analysis Logic Algebra Probability and statistics Applied mathematics Discrete mathematics Games and recreational mathematics Philosophy and metamathematicsExpert mathematician Richard Elwes explains difficult concepts in the simplest language with a minimum of jargon. Along the way he reveals such mathematical magic as how to count to 1023 using just 10 fingers and how to make an unbreakable code.Enlightening and entertaining,
Mathematics 1001
makes the language of math come alive.
The MoneySense Guide to the Perfect Portfolio (2013 Edition)
Dan Bortolotti - 2012
From MoneySense index investing expert Dan Bortolotti, plus a foreword by Editor Jonathan Chevreau.
Mathematics: From the Birth of Numbers
Jan Gullberg - 1997
The book is unique among popular books on mathematics in combining an engaging, easy-to-read history of the subject with a comprehensive mathematical survey text. Intended, in the author's words, "for the benefit of those who never studied the subject, those who think they have forgotten what they once learned, or those with a sincere desire for more knowledge," it links mathematics to the humanities, linguistics, the natural sciences, and technology.Contains more than 1000 original technical illustrations, a multitude of reproductions from mathematical classics and other relevant works, and a generous sprinkling of humorous asides, ranging from limericks and tall stories to cartoons and decorative drawings.
Mark. Plan. Teach.: Save Time. Reduce Workload. Impact Learning.
Ross Morrison McGill - 2018
This brand new book from Ross Morrison McGill, bestselling author of 100 Ideas for Secondary Teachers: Outstanding Lessons and Teacher Toolkit, is packed full of practical ideas that will help teachers refine the key elements of their profession. Mark. Plan. Teach. shows how each stage of the teaching process informs the next, building a cyclical framework that underpins everything that teachers do.With teachers' workload at record levels and teacher recruitment and retention the number one issue in education, ideas that really work and will help teachers not only survive but thrive in the classroom are in demand. Every idea in Mark. Plan. Teach. can be implemented by all primary and secondary teachers at any stage of their career and will genuinely improve practice. The ideas have been tried and tested and are supported by evidence that explains why they work, including current educational research and psychological insights from Dr Tim O'Brien, leading psychologist and Visiting Fellow at UCL Institute of Education.Mark. Plan. Teach. will enable all teachers to maximise the impact of their teaching and, in doing so, save time, reduce workload and take back control of the classroom.
The Number Devil: A Mathematical Adventure
Hans Magnus Enzensberger - 1997
As we dream with him, we are taken further and further into mathematical theory, where ideas eventually take flight, until everyone--from those who fumble over fractions to those who solve complex equations in their heads--winds up marveling at what numbers can do.Hans Magnus Enzensberger is a true polymath, the kind of superb intellectual who loves thinking and marshals all of his charm and wit to share his passions with the world. In The Number Devil, he brings together the surreal logic of Alice in Wonderland and the existential geometry of Flatland with the kind of math everyone would love, if only they had a number devil to teach them.
Why Scientists Disagree About Global Warming: The NIPCC Report on Scientific Consensus
Craig D. Idso - 2015
This claim is not only false, but its presence in the debate is an insult to science." With these words, the authors begin a detailed analysis of one of the most controversial topics of the day. The authors make a compelling case against claims of a scientific consensus. The purported proof of such a consensus consists of sloppy research by nonscientists, college students, and a highly partisan Australian blogger. Surveys of climate scientists, even those heavily biased in favor of climate alarmism, find extensive disagreement on the underlying science and doubts about its reliability. The authors point to four reasons why scientists disagree about global warming: a conflict among scientists in different and often competing disciplines; fundamental scientific uncertainties concerning how the global climate responds to the human presence; failure of the United Nations Intergovernmental Panel on Climate Change (IPCC) to provide objective guidance to the complex science; and bias among researchers. The authors offer a succinct summary of the real science of climate change based on their previously published comprehensive review of climate science in a volume titled Climate Change Reconsidered II: Physical Science. They recommend that policymakers resist pressure from lobby groups to silence scientists who question the authority of the IPCC to claim to speak for climate science. More than 50,000 copies of the first edition were sold or given away in five months to elected officials, civic and business leaders, scientists, and other opinion leaders. The response from the science community and experts on climate change has been overwhelmingly positive. To meet demand for more copies, we have produced this second revised edition. Changes include a foreword by Marita Noon, at the time executive director of Energy Makes America Great, Inc. Some of the discussion in Chapter 1 has been revised and expanded thanks to feedback from readers of the first edition. Graphs in Chapters 4, 5, and 6 are now full color, and new graphs have been added.
Basic Economics for Students and Non-Students Alike
Jerry Wyant - 2013
Graphs are not included, but both the graphs and the concepts behind them are explained; only basic math is included, and you can even skim over the math and still come away with an understanding of the concepts; statistics is not included at all.BASIC ECONOMICS FOR STUDENTS AND NON-STUDENTS ALIKE is an easy way to learn concepts relating to economics and the economy. It is a product of thousands of hours spent online, teaching basic concepts in economics to hundreds of students worldwide over the course of the past several years. From back and forth communications, I have discovered the explanations for the concepts that students find easiest to understand, as well as the areas that most often get misunderstood and under-emphasized.I have worked with students located throughout the United States and from many different countries, on six different continents; students from many different school systems with different points of emphasis; students with different levels of knowledge, different backgrounds, and different levels of interest in the subject. I have received numerous comments and testimonials regarding the teaching methods that I incorporate in BASIC ECONOMICS FOR STUDENTS AND NON-STUDENTS ALIKE.The subject matter included in BASIC ECONOMICS FOR STUDENTS AND NON-STUDENTS ALIKE comes from a compilation of many different textbooks at the introductory and intermediate levels. My goal was to include every subject in economics that normally will be found in an introductory level textbook of economics, microeconomics, or macroeconomics. Since different school systems, different classroom instructors, and different textbooks cover a slightly different combination of topics, BASIC ECONOMICS FOR STUDENTS AND NON-STUDENTS ALIKE is a little more comprehensive than most single introductory textbooks of economics. Some of the topics will be found in introductory classes in some schools, but in intermediate-level classes in other schools.
Introduction to Topology
Bert Mendelson - 1975
It provides a simple, thorough survey of elementary topics, starting with set theory and advancing to metric and topological spaces, connectedness, and compactness. 1975 edition.
The Case Against Reality: Why Evolution Hid the Truth from Our Eyes
Donald D. Hoffman - 2019
How can it be possible that the world we see is not objective reality? And how can our senses be useful if they are not communicating the truth? Hoffman grapples with these questions and more over the course of this eye-opening work.Ever since Homo sapiens has walked the earth, natural selection has favored perception that hides the truth and guides us toward useful action, shaping our senses to keep us alive and reproducing. We observe a speeding car and do not walk in front of it; we see mold growing on bread and do not eat it. These impressions, though, are not objective reality. Just like a file icon on a desktop screen is a useful symbol rather than a genuine representation of what a computer file looks like, the objects we see every day are merely icons, allowing us to navigate the world safely and with ease.The real-world implications for this discovery are huge. From examining why fashion designers create clothes that give the illusion of a more “attractive” body shape to studying how companies use color to elicit specific emotions in consumers, and even dismantling the very notion that spacetime is objective reality, The Case Against Reality dares us to question everything we thought we knew about the world we see.