Kids Don’t Want to Fail uses empirical evidence to refute the widely accepted hypothesis that the black-white achievement gap in secondary schools is due to a cultural resistance to schooling in the black community. The author finds that inadequate elementary school preparation—not negative attitude—accounts for black students’ underperformance.
Handbook of Discrete and Combinatorial Mathematics provides a comprehensive reference volume for mathematicians, computer scientists, engineers, as well as students and reference librarians. The material is presented so that key information can be located and used quickly and easily. Each chapter includes a glossary. Individual topics are covered in sections and subsections within chapters, each of which is organized into clearly identifiable parts: definitions, facts, and examples. Examples are provided to illustrate some of the key definitions, facts, and algorithms. Some curious and entertaining facts and puzzles are also included. Readers will also find an extensive collection of biographies. This second edition is a major revision. It includes extensive additions and updates. Since the first edition appeared in 1999, many new discoveries have been made and new areas have grown in importance, which are covered in this edition.
This introduction to Laplace transforms and Fourier series is aimed at second year students in applied mathematics. It is unusual in treating Laplace transforms at a relatively simple level with many examples. Mathematics students do not usually meet this material until later in their degree course but applied mathematicians and engineers need an early introduction. Suitable as a course text, it will also be of interest to physicists and engineers as supplementary material.
The reach of algebraic curves in cryptography goes far beyond elliptic curve or public key cryptography yet these other application areas have not been systematically covered in the literature. Addressing this gap, Algebraic Curves in Cryptography explores the rich uses of algebraic curves in a range of cryptographic applications, such as secret sharing, frameproof codes, and broadcast encryption. Suitable for researchers and graduate students in mathematics and computer science, this self-contained book is one of the first to focus on many topics in cryptography involving algebraic curves. After supplying the necessary background on algebraic curves, the authors discuss error-correcting codes, including algebraic geometry codes, and provide an introduction to elliptic curves. Each chapter in the remainder of the book deals with a selected topic in cryptography (other than elliptic curve cryptography). The topics covered include secret sharing schemes, authentication codes, frameproof codes, key distribution schemes, broadcast encryption, and sequences. Chapters begin with introductory material before featuring the application of algebraic curves.
A complete course on metric, normed, and Hilbert spaces, including many results and exercises seldom found in texts on analysis at this level. The author covers an unusually wide range of material in a clear and concise format, including elementary real analysis, Lebesgue integration on R, and an introduction to functional analysis. The book begins with a fast-paced course on real analysis, followed by an introduction to the Lebesgue integral. This provides a reference for later chapters as well as a preparation for students with only the typical sequence of undergraduate calculus courses as prerequisites. Other features include a chapter introducing functional analysis, the Hahn-Banach theorem and duality, separation theorems, the Baire Category Theorem, the Open Mapping Theorem and their consequences, and unusual applications. Of special interest are the 750 exercises, many with guidelines for their solutions, applications and extensions of the main propositions and theorems, pointers to new branches of the subject, and difficult challenges for the very best students.
Math in Society is a survey of contemporary mathematical topics, appropriate for a college-level topics course for liberal arts major, or as a general quantitative reasoning course.This book is an open textbook; it can be read free online at http://www.opentextbookstore.com/mathinsociety/. Editable versions of the chapters are available as well.
Prepared by Mark Dugopolski, the Student's Solutions Manual contains complete worked-out solutions to all of the odd-numbered exercises in the text. It also contains solutions for all exercises in the Chapter Tests. It may be purchased by your students from McGraw-Hill.
The idea of the ICMI Study 13 is outlined as follows: Education in any social environment is influenced in many ways by the traditions of these environments. This study brings together leading experts to research and report on mathematics education in a global context. Mathematics education faces a split phenomenon of difference and correspondence. A study attempting a comparison between mathematics education in different traditions will be helpful to understanding this phenomenon.
The international best-selling phenomenon loved by BARACK OBAMA and BILL GATES in a new and updated illustrated edition 'A hopeful book about the potential for human progress when we work off facts rather than our inherent biases.' BARACK OBAMA 'One of the most important books I've ever read - an indispensable guide to thinking clearly about the world.' BILL GATES *#1 Sunday Times bestseller * instant New York Times bestseller * Observer 'best brainy book of the decade' * #1 Wall Street Journal bestseller * Irish Times bestseller * Audio bestseller * Guardian bestseller * FACTFULNESS: the stress-reducing habit of only having opinions for which there are strong supporting facts. Things aren't...
Even though women consistently receive better grades in math and science, men excel on math aptitude tests and are greatly overrepresented in the so-called hard sciences. The Mathematics of Sex explores why males are overrepresented in mathematically intensive professions such as physics, computer science, chemistry, mathematics, and engineering. Bringing together for the first time important research from such diverse fields as endocrinology, economics, sociology, education, genetics, and psychology, the authors show that two factors - the parenting choices women (but not men) have to make, and the tendency of bright women to choose people-oriented fields like medicine - largely account for the under-representation of women in the hard sciences. Further, research shows that biology itself - differences in hormones or brain organization - does not fully account for the problem. Compressing an enormous amount of information - over 400 studies - into a readable, engaging accountsuitable for parents, educators, and policymakers, this book advances the debate about women in science unlike any other book before it.