Sign-In
Cart
Loving Math: Advanced Problems with Solutions, Applications and Comments
Paperback
Publisher Price: $17.95
ISBN13: 9781412029995
Publisher: Trafford Pub
Published: Jul 20 2004
Pages: 154
Weight: 0.80
Height: 0.33 Width: 8.25 Depth: 11.00
Language: English
This book was written for high school students and teachers who love exploring beyond standard math curricula for a deeper understanding of the principles and applications of mathematics. It is also for anyone who loves the pursuit of a problem solution, including both professional and amateur mathematicians. The vehicle that transports us through this exploration is the study and solution of classical and advanced math problems.
As a high school math student, an engineer, a businessman and, ultimately, a high school math teacher, I collected and created math problems and solutions that can be used for advanced study. Some of the problems may be very familiar to you; some may not. A few may be quite easy to do; others will take more time. Included are classical proofs and their extensions that are often omitted in today's curricula.
Beyond the pure enjoyment of this exploration, we also attempt to find a deeper understanding of the math. We address four larger aspects of understanding, namely: convention, evidence, perspective and connection. A portion of these aspects is addressed in the solutions, themselves. The rest is in comments, which come after the solutions. The comments range widely, including: additional points regarding the math itself, historical factoids, linguistics, suggestions for teachers, some personal experiences regarding the material, etc. Readers who only skim the problems and solutions might still find the applications and comments quite interesting.
It is hoped that this book will assist teachers and students alike in exploring the subject of mathematics in a new way, whether using material that is thousands of years old, or recently developed. Each problem can be used as a single assignment, done in a few minutes, or a term project that could require intuition, technique, research and/or fortitude (to plow through it). The material can be adapted for use in the standard classroom, subject to students' ability and the constrictions of uniform curricula. It is, perhaps, more applicable to classrooms with the freedom to experiment with project learning and with longer assignment periods. School math clubs or math teams might find this text a handy reference to hone skills, learn new techniques and satisfy the quest for more exciting material beyond the routine.
Although the primary focus here is the application of math principles to math problems, these studies are extended to interdisciplinary examples in the sciences, engineering, finance, social studies, etc. The subject material itself is organized into groups. There are twenty-two geometry/trigonometry problems, many of which are classic proofs. Though some have been forgotten or ignored at large, they are offered here with some new ideas and approaches. There are ten algebra problems, all of which are extensions of a standard curriculum, and offer fresh insights when studied as a group. Statistics, the newest subject to be added to the high school curriculum, has three problems. And calculus, which is not always studied in high schools, has five problems.
Also in
Algebra
Regents Exams and Answers: Algebra I, Fifth Edition, (Barron's New York Regents)
Rubinstein, Gary M.
Paperback
Let's Review Regents: Algebra I, Fifth Edition (Barron's New York Regents)
Rubinstein, Gary M.
Paperback
Regents Exams and Answers: Algebra II, Fifth Edition (Barron's New York Regents)
Rubinstein, Gary Michael
Paperback
Pre Algebra Doodle Notes: a complete course of brain-based interactive guided visual notes for Middle School Math Concepts
Giraffe, Math
Danziger, Brigid
Paperback
Let's Review Regents: Algebra II, Fifth Edition (Barron's New York Regents)
Rubenstein, Gary M., M. S.
Paperback
Mechanical Engineering for Makers: A Hands-On Guide to Designing and Making Physical Things
Najia, Samer
Bunnell, Brian
Paperback
6th and 7th Grade Math Workbook: Math Practice Book for Grade 6 and 7 [New Edition Includes 900] Practice Questions]
Apex Test Prep
Paperback
Summit Math Algebra 1 Book 5: Factoring Polynomials and Solving Quadratic Equations
Joujan, Alex
Paperback
Basic Math & Pre-Algebra: 1001 Practice Problems for Dummies (+ Free Online Practice)
Zegarelli, Mark
Paperback
Mathematical Foundations of Quantum Computing: A Scaffolding Approach
Lee, Peter
Yu, James
Cheng, Ran
Hardcover
Basic Math Refresher for Adults - A Math Workbook with Practice Problems and Online Video Tutorials: [2nd Edition]
Bowling, Matthew
Paperback
Math for Programmers: 3D Graphics, Machine Learning, and Simulations with Python
Orland, Paul
Paperback
Math Fundamentals 2 - Algebra: For Middle School - A Quickstudy Laminated Reference Guide
Wright, Susan
LLC
Warren, Peggy
Other
HSPT Full Prep Book for Catholic High Schools: Be ready and fearless! Detailed answer explanations
Johnson, Henry N.
Paperback
Elementary Mathematics from an Advanced Standpoint: Arithmetic, Algebra, Analysis
Klein, Felix
Paperback
Graph Paper Notebook: Beautiful Pink Marble and Rose Gold 8 x 10 inches - 5 x 5 Squares per inch, Quad Ruled Cute Graph Paper Composition No
Blush Marble Notebooks
Paperback
Dilation and Model Theory for Pairs of Commuting Contraction Operators
Sau, Haripada
Ball, Joseph A.
Hardcover
Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra
Little, John
O'Shea, Donal
Cox, David A.
Hardcover
Mathematics: Its Content, Methods and Meaning
Aleksandrov, A. D.
Kolmogorov, A. N.
Lavrent'ev, M. a.
Paperback
Pre-Algebra for Beginners: The Ultimate Step by Step Guide to Preparing for the Pre-Algebra Test
Nazari, Reza
Paperback
Radical Equations: Civil Rights from Mississippi to the Algebra Project
Moses, Robert
Cobb, Charles E.
Paperback
Learn Calculus with Python: A Hands-On Introduction to Real-World Modeling and Simulation
McIntyre, Nick
Paperback
Mathematical Foundations of Quantum Computing: A Scaffolding Approach
Lee, Peter
Yu, James
Cheng, Ran
Paperback
Mathematics for the IB Diploma: Analysis and Approaches SL: Hodder Education Group
Fannon, Paul
Ward, Stephen
Paperback
Math Geek: From Klein Bottles to Chaos Theory, a Guide to the Nerdiest Math Facts, Theorems, and Equations
Rosen, Raphael
Paperback
Introduction to Applied Linear Algebra: Vectors, Matrices, and Least Squares
Vandenberghe, Lieven
Boyd, Stephen
Hardcover
4th Grade Math Workbook: 1500+ Practice Questions for Daily Exercise [Math Workbooks Grade 4]
Apex Test Prep
Paperback
Topics in Number Theory, Volumes I and II
Leveque, William J.
Mathematics
Leveque, William Judson
Paperback
No-Nonsense Algebra, 2nd Edition: Part of the Mastering Essential Math Skills Series
Fisher, Richard W.
Paperback
ACCUPLACER Math Prep: ACCUPLACER Math Test Study Guide with Two Practice Tests [Includes Detailed Answer Explanations]
Tpb Publishing
Paperback
Algebraic Theory of Numbers: Translated from the French by Allan J. Silberger
Samuel, Pierre
Paperback