Best Mathematics

The companion book to COURSERA®'s wildly popular massive open online course "Learning How to Learn" Whether you are a student struggling to fulfill a math or science requirement, or you are embarking on a career change that requires a new skill set, A Mind for Numbers offers the tools you need to get a better grasp of that intimidating material. When she saw how her lack of mathematical and technical savvy severely limited her options—both to rise in the military and to explore other careers—she returned to school with a newfound determination to re-tool her brain to master the very subjects that had given her so much trouble throughout her entire life. “An ingeniously accessible introduction to the science of human cognition—along with practical advice on how to think better.” —James Taranto, The Wall Street Journal “In my book The Math Instinct, I described how we have known since the early 1990s that all ordinary people can do mathematics, and in The Math Gene , I explained why the capacity for mathematical thinking is both a natural consequence of evolution and yet requires effort to unleash it. How do you come to love math and science, and how do you come to learn math and science? Barbara Oakley is the magician who will help you do both.” —Francisco J. Ayala, University Professor and Donald Bren Professor of Biological Sciences, University of California, Irvine, and former President and Chairman of the Board, American Association for the Advancement of Science. But now that learners have a handy guide for ‘knowing better’ they will also be able to ‘do better.’” —Shirley Malcom, Head of Education and Human Resources Programs, American Association for the Advancement of Science “ A Mind for Numbers is an excellent book about how to approach mathematics, science, or any realm where problem solving plays a prominent role.” —J. Given the urgent need for America to improve its science and math education so it can stay competitive, A Mind for Numbers is a welcome find.” —Geoffrey Canada, President, Harlem Children's Zone "It's easy to say 'work smarter, not harder,' but Barbara Oakley actually shows you how to do just that, in a fast-paced and accessible book that collects tips based on experience and sound science. This is a must-read for anyone who has struggled with mathematics and anyone interested in enhancing their learning experience.” —David C. Geary, Curators’ Professor of Psychological Sciences and Interdisciplinary Neuroscience, University o f Missouri. “For students afraid of math and science and for those who love the subjects, this engaging book provides guidance in establishing study habits that take advantage of how the brain works.” —Deborah Schifter, Principal Research Scientist, Science and Mathematics Programs, Education Development Center, Inc.

An Introduction to Statistical Learning provides an accessible overview of the field of statistical learning, an essential toolset for making sense of the vast and complex data sets that have emerged in fields ranging from biology to finance to marketing to astrophysics in the past twenty years. “Written by four experts of the field, this book offers an excellent entry to statistical learning to a broad audience, including those without strong background in mathematics. … the book also demonstrates how to apply these methods using various R packages by providing detailed worked examples using interesting real data applications.” (Klaus Nordhausen, International Statistical Review, Vol. “The book is structured in ten chapters covering tools for modeling and mining of complex real life data sets. … The style is suitable for undergraduates and researchers … and the understanding of concepts is facilitated by the exercises, both practical and theoretical, which accompany every chapter.” (Irina Ioana Mohorianu, zbMATH, Vol. "The book excels in providing the theoretical and mathematical basis for machine learning, and now at long last, a practical view with the inclusion of R programming examples.

With the aid of practical, real-life examples and applications, you'll learn: * The basic approach and application of algebra to problem solving. * The number system (in a much broader way than you have known it from arithmetic). * Monomials and polynomials; factoring algebraic expressions; how to handle algebraic fractions; exponents, roots, and radicals; linear and fractional equations. * Functions and graphs; quadratic equations; inequalities; ratio, proportion, and variation; how to solve word problems, and more. Authors Peter Selby and Steve Slavin emphasize practical algebra throughout by providing you with techniques for solving problems in a wide range of disciplines--from engineering, biology, chemistry, and the physical sciences, to psychology and even sociology and business administration. Practical Algebra If you studied algebra years ago and now need a refresher course in order to use algebraic principles on the job, or if you’re a student who needs an introduction to the subject, here’s the perfect book for you.

With CALCULUS: EARLY TRANSCENDENTALS, Seventh Edition, Stewart conveys not only the utility of calculus to help you develop technical competence, but also gives you an appreciation for the intrinsic beauty of the subject. This means that Calculus 7e and Calculus: Early Transcendentals 7e have the same number of chapters, allowing for a single Multivariable text rather than separate Early Transcendentals and Late Transcendentals versions. In addition, new collections of more challenging exercises called "Problems Plus" have been added, reinforcing concepts by requiring students to apply techniques from more than one chapter of the text. Updated: Tools for Enriching Calculus--a free, online, interactive resource that allows calculus students to work with animations that deepen their understanding of key concepts by helping them visualize the concepts they are learning--has been updated with new problems and a new Flash design that is more visually appealing and engaging to students.

The classic Heath translation, in a completely new layout with plenty of space and generous margins. If you want your students to really grapple with Euclid, this is the edition to choose.

One of Wall Street Journal 's. Best Ten Works of Nonfiction in 2012 New York Times Bestseller “Not so different in spirit from the way public intellectuals like John Kenneth Galbraith once shaped discussions of economic policy and public figures like Walter Cronkite helped sway opinion on the Vietnam War…could turn out to be one of the more momentous books of the decade .”. — New York Times Book Review "Nate Silver's The Signal and the Noise is The Soul of a New Machine for the 21st century ." Drawing on his own groundbreaking work, Silver examines the world of prediction, investigating how we can distinguish a true signal from a universe of noisy data. Most predictions fail, often at great cost to society, because most of us have a poor understanding of probability and uncertainty. In keeping with his own aim to seek truth from data, Silver visits the most successful forecasters in a range of areas, from hurricanes to baseball, from the poker table to the stock market, from Capitol Hill to the NBA. With everything from the health of the global economy to our ability to fight terrorism dependent on the quality of our predictions, Nate Silver’s insights are an essential read. Baseball, weather forecasting, earthquake prediction, economics, and polling: In all of these areas, Silver finds predictions gone bad thanks to biases, vested interests, and overconfidence.

Susanna Epp's DISCRETE MATHEMATICS WITH APPLICATIONS, FOURTH EDITION provides a clear introduction to discrete mathematics.

Written from the perspective of the applied mathematician, the latest edition of this bestselling book focuses on the theory and practical applications of Differential Equations to engineering and the sciences.

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This edition is organized into nine well-defined chapters: Trigonometric Fourier Series, Orthogonal Systems, Convergence of Trigonometric Fourier Series, Trigonometric Series with Decreasing Coefficients, Operations on Fourier Series, Summation of Trigonometric Fourier Series, Double Fourier Series and the Fourier Integral, Bessel Functions and Fourier-Bessel Series, and the Eigenfunction Method and its Applications to Mathematical Physics.