MATHEMATICS

1.

Andrew Hacker

The Math Myth: And Other STEM Delusions

Andrew Hacker’s 2012 New York Times op-ed questioning the requirement of advanced mathematics in our schools instantly became one of the paper’s most widely circulated articles. Why, he wondered, do we inflict a full menu of mathematics—algebra, geometry, trigonometry, even calculus—on all young Americans, regardless of their interests or aptitudes?

The Math Myth expands Hacker’s scrutiny of many widely held assumptions, like the notions that mathematics broadens our minds, that mastery of azimuths and asymptotes will be needed for most jobs, that the entire Common Core syllabus should be required of every student. He worries that a frenzied emphasis on STEM is diverting attention from other pursuits and subverting the spirit of the country.

In fact, Hacker honors mathematics as a calling (he has been a professor of mathematics) and extols its glories and its goals. Yet he shows how mandating it for everyone prevents other talents from being developed and acts as an irrational barrier to graduation and careers. He proposes alternatives, including teaching facility with figures, quantitative reasoning, and understanding statistics.

The Math Myth is sure to spark a heated and needed national conversation not just about mathematics but about the kind of people and society we want to be.

2.

Michael S. Schneider

A Beginner’s Guide to Constructing the Universe: Mathematical Archetypes of Nature, Art, and Science (HarperPerennial)

Michael Schneider leads us on a spectacular, lavishly illustrated journey along the numbers one through ten to explore the mathematical principles made visible in flowers, shells, crystals, plants, and the human body, expressed in the symbolic language of folk sayings and fairy tales, myth and religion, art and architecture. This is a new view of mathematics, not the one we learned at school but a comprehensive guide to the patterns that recur through the universe and underlie human affairs. A Beginner’s Guide to Constructing, the Universe shows you:

Why cans, pizza, and manhole covers are round.

Why one and two weren’t considered numbers by the ancient Greeks.

Why squares show up so often in goddess art and board games.

What property makes the spiral the most widespread shape in nature, from embryos and hair curls to hurricanes and galaxies.

How the human body shares the design of a bean plant and the solar system.

How a snowflake is like Stonehenge, and a beehive like a calendar.

How our ten fingers hold the secrets of both a lobster and a cathedral.

And much more.

3.

A.T. Fomenko

Geometrical and Statistical Methods of Analysis of Star Configurations Dating Ptolemy’s Almagest (CRC Press)

This easy-to-follow book offers a statistico-geometrical approach for dating ancient star catalogs. The authors’ scientific methods reveal statistical properties of ancient catalogs and overcome the difficulties of their dating originated by the low accuracy of these catalogs. Methods are tested on reliably dated medieval star catalogs and applied to the star catalog of the Almagest. Here, the dating of Ptolemy’s famous star catalog is reconsidered and recalculated using modern mathematical techniques. The text provides necessary information from astronomy and astrometry. It also covers the history of observational equipment and methods for measuring coordinates of stars. Many chapters are devoted to the Almagest, from a preliminary analysis to a global statistical processing of the catalog and its basic parts.Mathematics are simplified in this book for easy reading. This book will prove invaluable for mathematicians, astronomers, astrophysicists, specialists in natural sciences, historians interested in mathematical and statistical methods, and second-year mathematics students.Features

4.

Gaurav Tekriwal

Idiot’s Guides: Speed Math

Do math more quickly and with more confidence — with less reliance on paper, apps, and calculators. For people who automatically run to the nearest calculator, Idiot’s Guides: Speed Math teaches tips, tricks, and straightforward methods to doing math at a fast — and accurate — rate. Practice examples easily illustrate how even the most math-shy person can better perform calculations.

5.

Murray Spiegel and Robert Moyer

Schaum’s Outline of College Algebra, 4th Edition (Schaum’s Outlines)

Tough Test Questions? Missed Lectures? Not Enough Time?

Fortunately, there’s Schaum’s. This all-in-one-package includes more than 1,900 fully solved problems, examples, and practice exercises to sharpen your problem-solving skills. Plus, you will have access to 30 detailed videos featuring Math instructors who explain how to solve the most commonly tested problems–it’s just like having your own virtual tutor! You’ll find everything you need to build confidence, skills, and knowledge for the highest score possible.

More than 40 million students have trusted Schaum’s to help them succeed in the classroom and on exams. Schaum’s is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. Helpful tables and illustrations increase your understanding of the subject at hand.

This Schaum’s Outline gives you

1,940 fully solved problems

Hundreds of additional practice problems with answers

Coverage of all course concepts

Fully compatible with your classroom text, Schaum’s highlights all the important facts you need to know. Use Schaum’s to shorten your study time–and get your best test scores!

Schaum’s Outlines–Problem Solved.

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