Mathematics 2022: Your Daily Epsilon of Math

Mathematics 2022: Your Daily Epsilon of Math
Author: Rebecca Rapoport
Publisher:
Total Pages: 27
Release: 2021-08-31
Genre: Games & Activities
ISBN: 1631067788

Keep your mind sharp all year long with Mathematics 2022: Your Daily Epsilon of Math, a 12" × 12" wall calendar featuring 12 images relating to math concepts! Let mathematicians Rebecca Rapoport and Dean Chung tickle the left side of your brain by providing you with a math challenge for every day of the year. The solution is always the date, but the fun lies in figuring how to arrive at the answer, and possibly discovering more than one method of arriving there. Some of the most tricky problems require only middle school math applied cleverly. With entry-level algebra, word problems, math puns, and interesting math definitions added into the mix, this calendar will intrigue you for the whole year. End the year with more brains than you had when it began with Mathematics 2022: Your Daily Epsilon of Math.

Real Analysis

Real Analysis
Author: Frank Morgan
Publisher: American Mathematical Soc.
Total Pages: 170
Release: 2005
Genre: Mathematics
ISBN: 0821836706

Real Analysis builds the theory behind calculus directly from the basic concepts of real numbers, limits, and open and closed sets in $\mathbb{R}^n$. It gives the three characterizations of continuity: via epsilon-delta, sequences, and open sets. It gives the three characterizations of compactness: as ``closed and bounded,'' via sequences, and via open covers. Topics include Fourier series, the Gamma function, metric spaces, and Ascoli's Theorem. The text not only provides efficient proofs, but also shows the student how to come up with them. The excellent exercises come with select solutions in the back. Here is a real analysis text that is short enough for the student to read and understand and complete enough to be the primary text for a serious undergraduate course. Frank Morgan is the author of five books and over one hundred articles on mathematics. He is an inaugural recipient of the Mathematical Association of America's national Haimo award for excellence in teaching. With this book, Morgan has finally brought his famous direct style to an undergraduate real analysis text.

Math Games Lab for Kids

Math Games Lab for Kids
Author: Rebecca Rapoport
Publisher:
Total Pages: 147
Release: 2017
Genre: Juvenile Nonfiction
ISBN: 1631592521

Math is the foundation of all sciences and key to understanding the world around us. Math Games Lab for Kids uses over fifty hands-on activities to make learning a variety of math concepts fun and easy for kids. Make learning math fun by sharing these hands-on labs with your child. Math Games Lab for Kids presents more than 50 activities that incorporate coloring, drawing, games, and making shapes to make math more than just numbers. With Math Games Lab for Kids, kids can: Explore geometry and topology by making prisms, antiprisms, Platonic solids, and M bius strips. Build logic skills by playing and strategizing through tangrams, toothpick puzzles, and the game of Nim. Draw and chart graphs to learn the language of connections. Discover how to color maps like a mathematician by using the fewest colors possible. Create mind bending fractals with straight lines and repeat shapes. And don't worry about running to the store for expensive supplies Everything needed to complete the activities can be found in the book or around the house. Math is more important than ever. Give your child a great experience and solid foundation with Math Games Lab for Kids.

Analysis I

Analysis I
Author: Terence Tao
Publisher: Springer
Total Pages: 366
Release: 2016-08-29
Genre: Mathematics
ISBN: 9811017891

This is part one of a two-volume book on real analysis and is intended for senior undergraduate students of mathematics who have already been exposed to calculus. The emphasis is on rigour and foundations of analysis. Beginning with the construction of the number systems and set theory, the book discusses the basics of analysis (limits, series, continuity, differentiation, Riemann integration), through to power series, several variable calculus and Fourier analysis, and then finally the Lebesgue integral. These are almost entirely set in the concrete setting of the real line and Euclidean spaces, although there is some material on abstract metric and topological spaces. The book also has appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) can be taught in two quarters of 25–30 lectures each. The course material is deeply intertwined with the exercises, as it is intended that the student actively learn the material (and practice thinking and writing rigorously) by proving several of the key results in the theory.

Infinite Powers

Infinite Powers
Author: Steven Strogatz
Publisher: Eamon Dolan Books
Total Pages: 389
Release: 2019
Genre: History
ISBN: 1328879984

From preeminent math personality and author of The Joy of x, a brilliant and endlessly appealing explanation of calculus - how it works and why it makes our lives immeasurably better. Without calculus, we wouldn't have cell phones, TV, GPS, or ultrasound. We wouldn't have unraveled DNA or discovered Neptune or figured out how to put 5,000 songs in your pocket. Though many of us were scared away from this essential, engrossing subject in high school and college, Steven Strogatz's brilliantly creative, down‑to‑earth history shows that calculus is not about complexity; it's about simplicity. It harnesses an unreal number--infinity--to tackle real‑world problems, breaking them down into easier ones and then reassembling the answers into solutions that feel miraculous. Infinite Powers recounts how calculus tantalized and thrilled its inventors, starting with its first glimmers in ancient Greece and bringing us right up to the discovery of gravitational waves (a phenomenon predicted by calculus). Strogatz reveals how this form of math rose to the challenges of each age: how to determine the area of a circle with only sand and a stick; how to explain why Mars goes "backwards" sometimes; how to make electricity with magnets; how to ensure your rocket doesn't miss the moon; how to turn the tide in the fight against AIDS. As Strogatz proves, calculus is truly the language of the universe. By unveiling the principles of that language, Infinite Powers makes us marvel at the world anew.

The Humongous Book of Algebra Problems

The Humongous Book of Algebra Problems
Author: W. Michael Kelley
Publisher: Penguin
Total Pages: 576
Release: 2008-07
Genre: Mathematics
ISBN: 9781592577224

Presents algebra exercises with easy-to-follow guidelines, and includes over one thousand problems in numerous algebraic topics.

Calculus Set Free

Calculus Set Free
Author:
Publisher: Oxford University Press
Total Pages: 1617
Release: 2021-11-30
Genre: Calculus
ISBN: 0192895591

Calculus Set Free: Infinitesimals to the Rescue is a single-variable calculus textbook that incorporates the use of infinitesimal methods. The procedures used throughout make many of the calculations simpler and the concepts clearer for undergraduate students, heightening success and easing a significant burden of entry into STEM disciplines. This text features a student-friendly exposition with ample marginal notes, examples, illustrations, and more. The exercises include a wide range of difficulty levels, stretching from very simple rapid response questions to the occasional exercise meant to test knowledge. While some exercises require the use of technology to work through, none are dependent on any specific software. The answers to odd-numbered exercises in the back of the book include both simplified and non-simplified answers, hints, or alternative answers. Throughout the text, notes in the margins include comments meant to supplement understanding, sometimes including line-by-line commentary for worked examples. Without sacrificing academic rigor, Calculus Set Free offers an engaging style that helps students to solidify their understanding on difficult theoretical calculus.

Advanced Calculus

Advanced Calculus
Author: Avner Friedman
Publisher: Courier Corporation
Total Pages: 434
Release: 2012-10-16
Genre: Mathematics
ISBN: 0486137864

Intended for students who have already completed a one-year course in elementary calculus, this two-part treatment advances from functions of one variable to those of several variables. Solutions. 1971 edition.

The Humongous Book of Statistics Problems

The Humongous Book of Statistics Problems
Author: Robert Donnelly
Publisher: Penguin
Total Pages: 732
Release: 2009-12-01
Genre: Mathematics
ISBN: 1101151390

Learn to solve statistics problems—and make them no problem! Most math and science study guides are dry and difficult, but this is the exception. Following the successful The Humongous Books in calculus and algebra, bestselling author Mike Kelley takes a typical statistics workbook, full of solved problems, and writes notes in the margins, adding missing steps and simplifying concepts and solutions. By learning how to interpret and solve problems as they are presented in statistics courses, students prepare to solve those difficult problems that were never discussed in class but are always on exams. There are also annotated notes throughout the book to clarify each problem—all guided by an author with a great track record for helping students and math enthusiasts. His website (calculus-help.com) reaches thousands of students every month.