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# Mathematics

See below for a selection of the latest books from Mathematics category. Presented with a red border are the Mathematics books that have been lovingly read and reviewed by the experts at Lovereading. With expert reading recommendations made by people with a passion for books and some unique features Lovereading will help you find great Mathematics books and those from many more genres to read that will keep you inspired and entertained. And it's all free!

## Piece-wise and Max-Type Difference Equations

Piece-wise and Max-Type Difference Equations: Periodic and Eventually Periodic Solutions is intended for lower-level undergraduate students studying discrete mathematics. The book focuses on sequences as recursive relations and then transitions to periodic recursive patterns and eventually periodic recursive patterns. In addition to this, it will also focus on determining the patterns of periodic and eventually periodic solutions inductively. The aim of the author, throughout this book, is to get students to understand the significance of pattern recognition as a mathematical tool. Key Features Can provide possible topics for undergraduate research and for bachelor's thesis Provides supplementary practice problems and some open-ended research problems at the end of each chapter Focusses on determining the patterns of periodic and eventually periodic solutions inductively Enhances students' algebra skills before moving forward to upper level courses Familiarize students with the topics before they start undergraduate research by providing applications.

## Wavelet Based Approximation Schemes for Singular Integral Equations

Many mathematical problems in science and engineering are defined by ordinary or partial differential equations with appropriate initial-boundary conditions. Among the various methods, boundary integral equation method (BIEM) is probably the most effective. It's main advantage is that it changes a problem from its formulation in terms of unbounded differential operator to one for an integral/integro-differential operator, which makes the problem tractable from the analytical or numerical point of view. Basically, the review/study of the problem is shifted to a boundary (a relatively smaller domain), where it gives rise to integral equations defined over a suitable function space. Integral equations with singular kernels areamong the most important classes in the fields of elasticity, fluid mechanics, electromagnetics and other domains in applied science and engineering. With the advancesin computer technology, numerical simulations have become important tools in science and engineering. Several methods have been developed in numerical analysis for equations in mathematical models of applied sciences. Widely used methods include: Finite Difference Method (FDM), Finite Element Method (FEM), Finite Volume Method (FVM) and Galerkin Method (GM). Unfortunately, none of these are versatile. Each has merits and limitations. For example, the widely used FDM and FEM suffers from difficulties in problem solving when rapid changes appear in singularities. Even with the modern computing machines, analysis of shock-wave or crack propagations in three dimensional solids by the existing classical numerical schemes is challenging (computational time/memory requirements). Therefore, with the availability of faster computing machines, research into the development of new efficient schemes for approximate solutions/numerical simulations is an ongoing parallel activity. Numerical methods based on wavelet basis (multiresolution analysis) may be regarded as a confluence of widely used numerical schemes based on Finite Difference Method, Finite Element Method, Galerkin Method, etc. The objective of this monograph is to deal with numerical techniques to obtain (multiscale) approximate solutions in wavelet basis of different types of integral equations with kernels involving varieties of singularities appearing in the field of elasticity, fluid mechanics, electromagnetics and many other domains in applied science and engineering.

## The Phantom Pattern Problem

Pattern-recognition prowess served our ancestors well, but today we are confronted by a deluge of data that is far more abstract, complicated, and difficult to interpret. The number of possible patterns that can be identified relative to the number that are genuinely useful has grown exponentially - which means that the chances that a discovered pattern is useful is rapidly approaching zero. Patterns in data are often used as evidence, but how can you tell if that evidence is worth believing? We are hard-wired to notice patterns and to think that the patterns we notice are meaningful. Streaks, clusters, and correlations are the norm, not the exception. Our challenge is to overcome our inherited inclination to think that all patterns are significant, as in this age of Big Data patterns are inevitable and usually coincidental. Through countless examples, The Phantom Pattern Problem is an engaging read that helps us avoid being duped by data, tricked into worthless investing strategies, or scared out of getting vaccinations.

## Introduction to Probability

With a focus on models and tangible applications of probability from engineering, business, and other related disciplines, this book successfully guides readers through the fundamentals of the subject helping them achieve an increased mathematical sophistication. Specifically written for an introductory probability course that includes students of engineering, the applied sciences, business, statistics, mathematics, and psychology, the book features computer exercises utilizing R software and offers a Solutions Manual with select solutions.

## Mathematics - Mechanics and Probability

Dealing with mechanics and the solving of mechanical problems with the help of pure mathematics, this A-Level text introduces at an early stage an appreciation of the properties of vectors. Throughout the book problems are solved using vector methods where appropriate, and many worked examples are provided to illustrate each main development of a topic. A set of straightforward problems follows each section, and a selection of more challenging questions appears in the miscellaneous exercises at the end of most chapters, with multiple-choice questions on most topics.

## What Retirees Want

Dychtwald and Morison offer a brilliant and convincing perspective: an essential re-think of what 'aging' and 'retirement' mean today and an invitation to help mobilize the best in the tidal wave of Boomer Third Agers. --Daniel Goleman, PhD, Author, Emotional Intelligence: Why It Can Matter More Than IQ Throughout 99 percent of human history, life expectancy at birth was less than 18 years. Few people had a chance to age. Today, thanks to extraordinary medical, demographic, and economic shifts, most of us expect to live long lives. Consequently, the world is witnessing a powerful new version of retirement, driven by the power and needs of the Baby Boomer generation. Consumers over age 50 account for more than half of all spending and control more than 70% of our total net worth - yet are largely ignored by youth-focused marketers. How will work, family, and retirement be transformed to accommodate two billion people over the age of 60 worldwide? In the coming years, we'll see explosive business growth fueled by this unprecedented longevity revolution. What Retirees Want presents the culmination of 30 years of research by world-famous Age Wave expert Ken Dychtwald, Ph.D., and author and consultant Robert Morison. It explains how the aging of the Baby Boomers will forever change our lives, businesses, government programs, and the consumer marketplace. This exciting new stage of life, the Third Age, poses daunting questions: What will old look like in the years ahead? With continued advances in longevity, all of the traditional life-stage markers and boundaries will need to be adjusted. What new products and services will boom as a result of this coming longevity revolution? What unconscious ageist marketing practices are hurting people - and business growth? Will the majority of elder boomers outlive their pensions and retirement savings and how can this financial disaster be prevented? What incredible new technologies of medicine, life extension, and human enhancement await us in the near future? What purposeful new roles can we create for elder boomers so that the aging nations of the Americas, Europe, and Asia capitalize on the upsides of aging? Which pioneering organizations and companies worldwide have created marketing strategies and programs that resonate with the quirky and demanding Boomer generation? In this entertaining, thought-provoking, and wide-ranging book, Dychtwald and Morison explain how individuals, businesses, non-profits, and governments can best prepare for a new era - where the needs and demands of the Third Age will set the lifestyle, health, social, marketplace, and political priorities of generations to come.