New Wave Mental Maths: Book G

New Wave Mental Maths: Book G
Author: Eddy Steven Krajcar
Publisher:
Total Pages: 124
Release: 2012
Genre: Mathematics
ISBN: 9781921750052

"New wave mental maths is a series of student workbooks, written to provide a comprehensive and structured daily mental maths program for students in Australian primary schools."--Foreword.

An Introduction to the Mathematical Theory of Waves

An Introduction to the Mathematical Theory of Waves
Author: Roger Knobel
Publisher: American Mathematical Soc.
Total Pages: 212
Release: 2000
Genre: Mathematics
ISBN: 0821820397

This book is based on an undergraduate course taught at the IAS/Park City Mathematics Institute (Utah) on linear and nonlinear waves. The first part of the text overviews the concept of a wave, describes one-dimensional waves using functions of two variables, provides an introduction to partial differential equations, and discusses computer-aided visualization techniques. The second part of the book discusses traveling waves, leading to a description of solitary waves and soliton solutions of the Klein-Gordon and Korteweg-deVries equations. The wave equation is derived to model the small vibrations of a taut string, and solutions are constructed via d'Alembert's formula and Fourier series.The last part of the book discusses waves arising from conservation laws. After deriving and discussing the scalar conservation law, its solution is described using the method of characteristics, leading to the formation of shock and rarefaction waves. Applications of these concepts are then given for models of traffic flow. The intent of this book is to create a text suitable for independent study by undergraduate students in mathematics, engineering, and science. The content of the book is meant to be self-contained, requiring no special reference material. Access to computer software such as MathematicaR, MATLABR, or MapleR is recommended, but not necessary. Scripts for MATLAB applications will be available via the Web. Exercises are given within the text to allow further practice with selected topics.

Understanding Geometric Algebra for Electromagnetic Theory

Understanding Geometric Algebra for Electromagnetic Theory
Author: John W. Arthur
Publisher: John Wiley & Sons
Total Pages: 320
Release: 2011-09-13
Genre: Science
ISBN: 0470941634

This book aims to disseminate geometric algebra as a straightforward mathematical tool set for working with and understanding classical electromagnetic theory. It's target readership is anyone who has some knowledge of electromagnetic theory, predominantly ordinary scientists and engineers who use it in the course of their work, or postgraduate students and senior undergraduates who are seeking to broaden their knowledge and increase their understanding of the subject. It is assumed that the reader is not a mathematical specialist and is neither familiar with geometric algebra or its application to electromagnetic theory. The modern approach, geometric algebra, is the mathematical tool set we should all have started out with and once the reader has a grasp of the subject, he or she cannot fail to realize that traditional vector analysis is really awkward and even misleading by comparison. Professors can request a solutions manual by email: [email protected]

Mathematics of Wave Phenomena

Mathematics of Wave Phenomena
Author: Willy Dörfler
Publisher: Springer Nature
Total Pages: 330
Release: 2020-10-01
Genre: Mathematics
ISBN: 3030471748

Wave phenomena are ubiquitous in nature. Their mathematical modeling, simulation and analysis lead to fascinating and challenging problems in both analysis and numerical mathematics. These challenges and their impact on significant applications have inspired major results and methods about wave-type equations in both fields of mathematics. The Conference on Mathematics of Wave Phenomena 2018 held in Karlsruhe, Germany, was devoted to these topics and attracted internationally renowned experts from a broad range of fields. These conference proceedings present new ideas, results, and techniques from this exciting research area.

The Joy of X

The Joy of X
Author: Steven Henry Strogatz
Publisher: Houghton Mifflin Harcourt
Total Pages: 333
Release: 2012
Genre: Mathematics
ISBN: 0547517653

A delightful tour of the greatest ideas of math, showing how math intersects with philosophy, science, art, business, current events, and everyday life, by an acclaimed science communicator and regular contributor to the "New York Times."

What's Happening in the Mathematical Sciences

What's Happening in the Mathematical Sciences
Author: Barry Cipra
Publisher: American Mathematical Soc.
Total Pages: 108
Release:
Genre: Science
ISBN: 9780821890431

Mathematicians like to point out that mathematics is universal. In spite of this, most people continue to view it as either mundane (balancing a checkbook) or mysterious (cryptography). This fifth volume of the What's Happening series contradicts that view by showing that mathematics is indeed found everywhere-in science, art, history, and our everyday lives. Here is some of what you'll find in this volume: Mathematics and Science Mathematical biology: Mathematics was key tocracking the genetic code. Now, new mathematics is needed to understand the three-dimensional structure of the proteins produced from that code. Celestial mechanics and cosmology: New methods have revealed a multitude of solutions to the three-body problem. And other new work may answer one of cosmology'smost fundamental questions: What is the size and shape of the universe? Mathematics and Everyday Life Traffic jams: New models are helping researchers understand where traffic jams come from-and maybe what to do about them! Small worlds: Researchers have found a short distance from theory to applications in the study of small world networks. Elegance in Mathematics Beyond Fermat's Last Theorem: Number theorists are reaching higher ground after Wiles' astounding 1994 proof: new developments inthe elegant world of elliptic curves and modular functions. The Millennium Prize Problems: The Clay Mathematics Institute has offered a million dollars for solutions to seven important and difficult unsolved problems. These are just some of the topics of current interest that are covered in thislatest volume of What's Happening in the Mathematical Sciences. The book has broad appeal for a wide spectrum of mathematicians and scientists, from high school students through advanced-level graduates and researchers.

Understanding Year 3 Maths

Understanding Year 3 Maths
Author: Merle Green
Publisher:
Total Pages: 0
Release: 2012
Genre: Mathematical ability
ISBN: 9781741307924

"This book provides a structured and clear interpretation of the Australian mathematics curriculum, detailing what a child is required to know by the end of Year 3. It covers the syllabus topic by topic, explaining what is to be taught and how it is being taught in Australian classrooms. It is a comprehensive, well-presented and easy to understand book which provides an ideal reference for parents to consult when they wish to provide assistance in supporting the development of their child's mathematical understanding"--Understanding Maths website.