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Algebra - The Very Basics by Metin Bektas
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science
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The Science Book: Big Ideas Simply Explained
Rob Scott Colson - 2014
The Science Book
covers every area of science--astronomy, biology, chemistry, geology, math, and physics, and brings the greatest scientific ideas to life with fascinating text, quirky graphics, and pithy quotes.
The Introvert Advantage: How to Thrive in an Extrovert World
Marti Olsen Laney - 2002
The better news is that by celebrating the inner strengths and uniqueness of being an "innie" THE INTROVERT ADVANTAGE shows introverts, and the extroverts who love them, how to work with instead of against their temperament to enjoy a well-lived life. Covering relationships, parenting - including parenting the introverted child - socialising, and the workplace, here are coping strategies, tactics for managing energy, and hundreds of valuable tips for not only surviving but truly thriving in an extrovert world.
Good Math: A Geek's Guide to the Beauty of Numbers, Logic, and Computation
Mark C. Chu-Carroll - 2013
There is joy and beauty in mathematics, and in more than two dozen essays drawn from his popular “Good Math” blog, you’ll find concepts, proofs, and examples that are often surprising, counterintuitive, or just plain weird.Mark begins his journey with the basics of numbers, with an entertaining trip through the integers and the natural, rational, irrational, and transcendental numbers. The voyage continues with a look at some of the oddest numbers in mathematics, including zero, the golden ratio, imaginary numbers, Roman numerals, and Egyptian and continuing fractions. After a deep dive into modern logic, including an introduction to linear logic and the logic-savvy Prolog language, the trip concludes with a tour of modern set theory and the advances and paradoxes of modern mechanical computing.If your high school or college math courses left you grasping for the inner meaning behind the numbers, Mark’s book will both entertain and enlighten you.
Why We Dream: The Transformative Power of Our Nightly Journey
Alice Robb - 2018
Finding these forays both puzzling and exhilarating, Robb dug deeper into the science of dreams at an extremely opportune moment: just as researchers began to understand why dreams exist. They aren’t just random events; they have clear purposes. They help us learn and even overcome psychic trauma. Robb draws on fresh and forgotten research, as well as her experience and that of other dream experts, to show why dreams are vital to our emotional and physical health. She explains how we can remember our dreams better—and why we should. She traces the intricate links between dreaming and creativity, and even offers advice on how we can relish the intense adventure of lucid dreaming for ourselves.Why We Dream is a clear-eyed, cutting-edge examination of the meaning and purpose of our nightly visions and a guide to changing our dream lives—and making our waking lives richer, healthier, and happier.
How to Speak and Write Correctly
Joseph Devlin - 1910
Poverty thrust them forward instead of keeping them back. Therefore, if you are poor make your circumstances a means to an end. Have ambition, keep a goal in sight and bend every energy to reach that goal. A story is told of Thomas Carlyle the day he attained the highest honor the literary world could confer upon him when he was elected Lord Rector of Edinburgh University. After his installation speech, in going through the halls, he met a student seemingly deep in study.
The Calculus Lifesaver: All the Tools You Need to Excel at Calculus
Adrian Banner - 2007
The Calculus Lifesaver provides students with the essential tools they need not only to learn calculus, but to excel at it.All of the material in this user-friendly study guide has been proven to get results. The book arose from Adrian Banner's popular calculus review course at Princeton University, which he developed especially for students who are motivated to earn A's but get only average grades on exams. The complete course will be available for free on the Web in a series of videotaped lectures. This study guide works as a supplement to any single-variable calculus course or textbook. Coupled with a selection of exercises, the book can also be used as a textbook in its own right. The style is informal, non-intimidating, and even entertaining, without sacrificing comprehensiveness. The author elaborates standard course material with scores of detailed examples that treat the reader to an inner monologue--the train of thought students should be following in order to solve the problem--providing the necessary reasoning as well as the solution. The book's emphasis is on building problem-solving skills. Examples range from easy to difficult and illustrate the in-depth presentation of theory.The Calculus Lifesaver combines ease of use and readability with the depth of content and mathematical rigor of the best calculus textbooks. It is an indispensable volume for any student seeking to master calculus.Serves as a companion to any single-variable calculus textbookInformal, entertaining, and not intimidatingInformative videos that follow the book--a full forty-eight hours of Banner's Princeton calculus-review course--is available at Adrian Banner lecturesMore than 475 examples (ranging from easy to hard) provide step-by-step reasoningTheorems and methods justified and connections made to actual practiceDifficult topics such as improper integrals and infinite series covered in detailTried and tested by students taking freshman calculus
Who Is Fourier? a Mathematical Adventure
Transnational College of Lex - 1995
This is done in a way that is not only easy to understand, but is actually fun! Professors and engineers, with high school and college students following closely, comprise the largest percentage of our readers. It is a must-have for anyone interested in music, mathematics, physics, engineering, or complex science. Dr. Yoichiro Nambu, 2008 Nobel Prize Winner in Physics, served as a senior adviser to the English version of Who is Fourier? A Mathematical Adventure.
Advanced Engineering Mathematics
K.A. Stroud - 2003
You proceed at your own rate and any difficulties you may encounter are resolved before you move on to the next topic. With a step-by-step programmed approach that is complemented by hundreds of worked examples and exercises, Advanced Engineering Mathematics is ideal as an on-the-job reference for professionals or as a self-study guide for students.Uses a unique technique-oriented approach that takes the reader through each topic step-by-step.Features a wealth of worked examples and progressively more challenging exercises.Contains Test Exercises, Learning Outcomes, Further Problems, and Can You? Checklists to guide and enhance learning and comprehension.Expanded coverage includes new chapters on Z Transforms, Fourier Transforms, Numerical Solutions of Partial Differential Equations, and more Complex Numbers.Includes a new chapter, Introduction to Invariant Linear Systems, and new material on difference equations integrated into the Z transforms chapter.
Digital SLR Cameras & Photography for Dummies
David D. Busch - 2004
Digital SLR Cameras & Photography For Dummies covers the hardware, the software, and the techniques you need to take top-notch digital photos with your dSLR. This guide will get you clicking with information on:The advantages of a dSLR camera: more control over what portions of your images are in sharp focus; a more accurate viewfinder; lower levels of the annoying grain effect called noise; ability to capture the most fleeting action; more control over depth-of-field; ability to review your image immediately, upload the photo to your computer, make adjustments, and print a full-color print in minutes Choosing the accessories that will take your dSLR to the next level, depending on the type of photography you do and your current and future needs Megapixels, and matching pixels to print sizes and printers The components of a dSLR: lens; viewing system, aperture, shutter, light-sensitive component; medium for storing the captured image Accessorizing your dSLR with memory cards, filter add-ons (infrared, polarizers, neutral density, and special effects), electronic flash, tripods, and more Once you get your hands on a dSLR camera (literally), this reference helps you use its features and controls to take great pictures. Complete with more than 300 color photos, lots of tables, and clear, step-by-step instructions for various situations, subjects, and calculations, Digital SLR Cameras & Photography For Dummies helps you refine your techniques with info on:Getting the exposure right with the histogram, the metering system, or Program, Aperture Priority, Shutter Priority, or Manual Exposure modes Achieving the right focus with manual focus or autofocus The scoop on lenses--prime, zoom, and special--and using them appropriately and creativelyHow to use interchangeable lenses, set up speedy continuous-shooting burst modes, apply selective focus, and shoot under the lowest light levels Special features of dSLR to reduce noise, cancel camera shake, do time-lapse photography, and shoot infrared photos Working with the RAW format, JPEG, or both Taking action, flash, or sequence photos or freezing the action Composition basics, including the Rule of Thirds, tips for shooting portraits or group photos, and more Using image editors to fix-up your photos (with cropping, tonal adjustments, color correction, spot removal, sharpening/blurring, and more), with step-by-step instructions for using Photoshop Compositing images Choosing your printer and evaluating your output options With Digital SLR Cameras & Photography For Dummies, you won't only get the how-to for various types of shots, you'll see the results with great color photos. In no time, you'll be taking great photos of your own.
Tell Me The Odds: A 15 Page Introduction To Bayes Theorem
Scott Hartshorn - 2017
Essentially, you make an initial guess, and then get more data to improve it. Bayes Theorem, or Bayes Rule, has a ton of real world applications, from estimating your risk of a heart attack to making recommendations on Netflix But It Isn't That Complicated This book is a short introduction to Bayes Theorem. It is only 15 pages long, and is intended to show you how Bayes Theorem works as quickly as possible. The examples are intentionally kept simple to focus solely on Bayes Theorem without requiring that the reader know complicated probability distributions. If you want to learn the basics of Bayes Theorem as quickly as possible, with some easy to duplicate examples, this is a good book for you.
Linear Algebra
Georgi E. Shilov - 1971
Shilov, Professor of Mathematics at the Moscow State University, covers determinants, linear spaces, systems of linear equations, linear functions of a vector argument, coordinate transformations, the canonical form of the matrix of a linear operator, bilinear and quadratic forms, Euclidean spaces, unitary spaces, quadratic forms in Euclidean and unitary spaces, finite-dimensional algebras and their representations, with an appendix on categories of finite-dimensional spaces.The author begins with elementary material and goes easily into the advanced areas, covering all the standard topics of an advanced undergraduate or beginning graduate course. The material is presented in a consistently clear style. Problems are included, with a full section of hints and answers in the back.Keeping in mind the unity of algebra, geometry and analysis in his approach, and writing practically for the student who needs to learn techniques, Professor Shilov has produced one of the best expositions on the subject. Because it contains an abundance of problems and examples, the book will be useful for self-study as well as for the classroom.
Mathematics for the Nonmathematician
Morris Kline - 1967
But there is one other motive which is as strong as any of these — the search for beauty. Mathematics is an art, and as such affords the pleasures which all the arts afford." In this erudite, entertaining college-level text, Morris Kline, Professor Emeritus of Mathematics at New York University, provides the liberal arts student with a detailed treatment of mathematics in a cultural and historical context. The book can also act as a self-study vehicle for advanced high school students and laymen. Professor Kline begins with an overview, tracing the development of mathematics to the ancient Greeks, and following its evolution through the Middle Ages and the Renaissance to the present day. Subsequent chapters focus on specific subject areas, such as "Logic and Mathematics," "Number: The Fundamental Concept," "Parametric Equations and Curvilinear Motion," "The Differential Calculus," and "The Theory of Probability." Each of these sections offers a step-by-step explanation of concepts and then tests the student's understanding with exercises and problems. At the same time, these concepts are linked to pure and applied science, engineering, philosophy, the social sciences or even the arts.In one section, Professor Kline discusses non-Euclidean geometry, ranking it with evolution as one of the "two concepts which have most profoundly revolutionized our intellectual development since the nineteenth century." His lucid treatment of this difficult subject starts in the 1800s with the pioneering work of Gauss, Lobachevsky, Bolyai and Riemann, and moves forward to the theory of relativity, explaining the mathematical, scientific and philosophical aspects of this pivotal breakthrough. Mathematics for the Nonmathematician exemplifies Morris Kline's rare ability to simplify complex subjects for the nonspecialist.
Paradox: The Nine Greatest Enigmas in Physics
Jim Al-Khalili - 2012
A fun and fascinating look at great scientific paradoxes. Throughout history, scientists have come up with theories and ideas that just don't seem to make sense. These we call paradoxes. The paradoxes Al-Khalili offers are drawn chiefly from physics and astronomy and represent those that have stumped some of the finest minds. For example, how can a cat be both dead and alive at the same time? Why will Achilles never beat a tortoise in a race, no matter how fast he runs? And how can a person be ten years older than his twin? With elegant explanations that bring the reader inside the mind of those who've developed them, Al-Khalili helps us to see that, in fact, paradoxes can be solved if seen from the right angle. Just as surely as Al-Khalili narrates the enduring fascination of these classic paradoxes, he reveals their underlying logic. In doing so, he brings to life a select group of the most exciting concepts in human knowledge. Paradox is mind-expanding fun.
Thinking In Numbers: On Life, Love, Meaning, and Math
Daniel Tammet - 2012
In Tammet's world, numbers are beautiful and mathematics illuminates our lives and minds. Using anecdotes, everyday examples, and ruminations on history, literature, and more, Tammet allows us to share his unique insights and delight in the way numbers, fractions, and equations underpin all our lives. Inspired by the complexity of snowflakes, Anne Boleyn's eleven fingers, or his many siblings, Tammet explores questions such as why time seems to speed up as we age, whether there is such a thing as an average person, and how we can make sense of those we love. Thinking In Numbers will change the way you think about math and fire your imagination to see the world with fresh eyes.
The Psychology Book: Big Ideas Simply Explained
Nigel C. Benson - 2011
Clearly explaining more than 100 groundbreaking ideas in the field, The Psychology Book uses accessible text and easy-to-follow graphics and illustrations to explain the complex theoretical and experimental foundations of psychology.From its philosophical roots through behaviorism, psychotherapy, and developmental psychology, The Psychology Book looks at all the greats from Pavlov and Skinner to Freud and Jung, and is an essential reference for students and anyone with an interest in how the mind works.