The Math Behind the Music

Author: Leon Harkleroad

Publisher: Cambridge University Press

ISBN: 0521810957

Category: Mathematics

Page: 143

View: 3225

Looks at the mathematical aspects of music, covering such topics as compositional techniques, scales, tuning systems, and music criticism.

The Maths Behind...

Author: Colin Beveridge

Publisher: Hachette UK

ISBN: 1844039897

Category: Mathematics

Page: 192

View: 4306

The Maths Behind over 60 everyday phenomena. Have you ever wondered why traffic jams often turn out to have no cause when you get to the end of the queue? There's a mathematical explanation for that. Or ever considered whether some lotteries might be easier to win than others? There's a formula for that too. If you've ever been curious about the mathematical strings that hold our world together, then look no further than The Maths Behind. This intriguing and illuminating book takes a scientific view of your everyday world, and can give you the answers to all the niggling questions in your life, along with many you never even thought to ask. From the science behind roller coasters, to the maths behind how to consistently win at Monopoly (and become very unpopular with your family), this is a fascinating look at the mathematical forces that run beneath our everyday transactions.

Switching Power Supplies A to Z

Author: Sanjaya Maniktala

Publisher: Elsevier

ISBN: 0123865336

Category: Technology & Engineering

Page: 748

View: 4854

Chapter 1: The Principles of Switching Power Conversion Chapter 2: DC-DC Converter Design and Magnetics Chapter 3: Off-line Converter Design and Magnetics Chapter 4: The Topology FAQ Chapter 5: Optimal Core Selection Chapter 6: Component Ratings, Stresses, Reliability and Life Chapter 7: Optimal Power Components Selection Chapter 8: Conduction and Switching Losses Chapter 9: Discovering New Topologies Chapter 10: Printed Circuit Board Layout Chapter 11: Thermal Management Chapter 12: Feedback Loop Analysis and Stability Chapter 13: Paralleling, Interleaving and Sharing Chapter 14: The Front-End of AC-DC Power Supplies Chapter 15: DM and CM Noise in Switching Power Supplies Chapter 16: Fixing EMI across the Board Chapter 17: Input Capacitor and Stability Chapter 18: The Math behind the Electromagnetic Puzzle Chapter 19: Solved Examples Appendix A.

Chaos and Fractals

The Mathematics Behind the Computer Graphics

Author: Robert L. Devaney,Linda Keen,Kathleen T. Alligood

Publisher: American Mathematical Soc.

ISBN: 0821801376

Category: Mathematics

Page: 148

View: 8596

This volume contains the proceedings of a highly successful AMS Short Course on Chaos and Fractals, held during the AMS Centennial Celebration in Providence, Rhode Island in August 1988. Chaos and fractals have been the subject of great interest in recent years and have proven to be useful in a variety of areas of mathematics and the sciences. The purpose of the short course was to provide a solid introduction to the mathematics underlying the notions of chaos and fractals. The papers in this book range over such topics as dynamical systems theory, Julia sets, the Mandelbrot set, attractors, the Smale horseshoe, calculus on fractals, and applications to data compression. The authors represented here are some of the top experts in this field. Aimed at beginning graduate students, college and university mathematics instructors, and non-mathematics researchers, this book provides readable expositions of several exciting topics of contemporary research.

Computer Graphics and Geometric Modelling

Author: Max K. Agoston

Publisher: Springer Science & Business Media

ISBN: 9781852338183

Category: Computers

Page: 907

View: 3759

Possibly the most comprehensive overview of computer graphics as seen in the context of geometric modeling, this two-volume work covers implementation and theory in a thorough and systematic fashion. It covers the computer graphics part of the field of geometric modeling and includes all the standard computer graphics topics. The CD-ROM features two companion programs.

Star Chaser: The Traveler

Prelude to the Beyond the Outer Rim Series

Author: Reiter

Publisher: Quicksylver Publications

ISBN: 0692269002

Category: Fiction

Page: 616

View: 4372

Welcome! You have just entered a new realm - a new Universe where there are worlds, races, powers, allies and enemies just waiting to be discovered. Your place may be with the wielders of Iro... or perhaps as a Traveler... it could be that your destiny lies on a ship flying through the stars... or straining your skills on a battlefield... maybe you're most suited to hours spent pouring over ancient tomes... or engaged in a game of chess that will shape the cosmos. Whatever your place - wherever your destination - you will find yourself... Beyond the Outer Rim In 'Star Chaser: The Traveler', the prelude to the series, we meet Z’GUNOK TEL DUNGIAS, a Malgovi born without the ability to channel IRO, an ability inherent in the vast majority of his race. As a member of a high-ranking family, he lived a life in-between... not truly an outcast, but never fully embraced. Often discounted and forgotten, Dungias was left to grow and learn primarily on his own. Yet the advantages of his family's name did not entirely protect him against those who considered him anathema. Through strength, daring, and unexpected cunning, Dungias created himself out of nothing - and worked toward the day when he could make changes... Little did he know just how far-reaching those changes would be! “A venturesome sci-fi/fantasy novel for readers who really want their action set where no man has gone before.” - Kirkus Reviews

The Numbers Behind NUMB3RS

Solving Crime with Mathematics

Author: Keith Devlin,Gary Lorden

Publisher: Penguin

ISBN: 9781101213469

Category: Mathematics

Page: 256

View: 5115

The companion to the hit CBS crime series Numb3rs presents the fascinating way mathematics is used to fight real-life crime Using the popular CBS prime-time TV crime series Numb3rs as a springboard, Keith Devlin (known to millions of NPR listeners as ?the Math Guy? on NPR?s Weekend Edition with Scott Simon) and Gary Lorden (the principal math advisor to Numb3rs) explain real-life mathematical techniques used by the FBI and other law enforcement agencies to catch and convict criminals. From forensics to counterterrorism, the Riemann hypothesis to image enhancement, solving murders to beating casinos, Devlin and Lorden present compelling cases that illustrate how advanced mathematics can be used in state-of-the-art criminal investigations.

Bond Math

The Theory Behind the Formulas

Author: Donald J. Smith

Publisher: John Wiley & Sons

ISBN: 1118866363

Category: Business & Economics

Page: 304

View: 5221

A bond calculation quick reference, complete with context andapplication insights Bond Math is a quick and easy resource that puts theintricacies of bond calculations into a clear and logical order.This simple, readable guide provides a handy reference, teachingthe reader how to think about the essentials of bond math. Muchmore than just a book of formulas, the emphasis is on how to thinkabout bonds and the associated math, with plenty of examples,anecdotes, and thought-provoking insights that sometimes runcounter to conventional wisdom. This updated second editionincludes popular Bloomberg pages used in fixed-income analysis,including the Yield and Spread Analysis page, plus a companionwebsite complete with an Online Workbook of multiple choicequestions and answers and spreadsheet exercises. Detailed coverageof key calculations, including thorough explanations, providepractical guidance to working bond professionals. The bond market is the largest and most liquid in the world,encompassing everything from Treasuries and investment gradecorporate paper to municipals and junk bonds, trading over $900billion daily in the U.S. alone. Bond Math is a guide to theinevitable calculations involved in managing bonds, with expertinsight on the portfolios and investment strategies that puts themath in perspective. Clear and concise without sacrificing detail,this book helps readers to: Delineate the characteristics of different types of debtsecurities Calculate implied forward and spot rates and discountfactors Work with rates of return, yield statistics, and interest rateswaps Understand duration-based risk measures, and more Memorizing formulas is one thing, but really learning how tomentally approach the math behind bonds is something else entirely.This approach places calculations in context, and enables easiertransition from theory to application. For the bond professionalseeking a quick math reference, Bond Math provides that andso much more.

Taking Sudoku Seriously

The Math Behind the World's Most Popular Pencil Puzzle

Author: Jason Rosenhouse,Laura Taalman

Publisher: Oxford University Press

ISBN: 0199913153

Category: Mathematics

Page: 226

View: 5625

Packed with more than a hundred color illustrations and a wide variety of puzzles and brainteasers, Taking Sudoku Seriously uses this popular craze as the starting point for a fun-filled introduction to higher mathematics. How many Sudoku solution squares are there? What shapes other than three-by-three blocks can serve as acceptable Sudoku regions? What is the fewest number of starting clues a sound Sudoku puzzle can have? Does solving Sudoku require mathematics? Jason Rosenhouse and Laura Taalman show that answering these questions opens the door to a wealth of interesting mathematics. Indeed, they show that Sudoku puzzles and their variants are a gateway into mathematical thinking generally. Among many topics, the authors look at the notion of a Latin square--an object of long-standing interest to mathematicians--of which Sudoku squares are a special case; discuss how one finds interesting Sudoku puzzles; explore the connections between Sudoku, graph theory, and polynomials; and consider Sudoku extremes, including puzzles with the maximal number of vacant regions, with the minimal number of starting clues, and numerous others. The book concludes with a gallery of novel Sudoku variations--just pure solving fun! Most of the puzzles are original to this volume, and all solutions to the puzzles appear in the back of the book or in the text itself. A math book and a puzzle book, Taking Sudoku Seriously will change the way readers look at Sudoku and mathematics, serving both as an introduction to mathematics for puzzle fans and as an exploration of the intricacies of Sudoku for mathematics buffs.

Introduction to Factor Analysis

What It Is and How To Do It

Author: Albert R. Wildt,Jae-On Kim,Charles W. Mueller,Geological Survey of New South Wales,Olli Ahtola,Paul E. Spector

Publisher: SAGE

ISBN: 9780803911659

Category: Mathematics

Page: 79

View: 4462

Describes the mathematical and logical foundations at a level that does not presume advanced mathematical or statistical skills. It illustrates how to do factor analysis with several of the more popular packaged computer programs.

Asset Management

A Systematic Approach to Factor Investing

Author: Andrew Ang

Publisher: Oxford University Press

ISBN: 019938231X

Category: Business & Economics

Page: 368

View: 4458

In Asset Management: A Systematic Approach to Factor Investing, Professor Andrew Ang presents a comprehensive, new approach to the age-old problem of where to put your money. Years of experience as a finance professor and a consultant have led him to see that what matters aren't asset class labels, but instead the bundles of overlapping risks they represent. Factor risks must be the focus of our attention if we are to weather market turmoil and receive the rewards that come with doing so. Clearly written yet full of the latest research and data, Asset Management is indispensable reading for trustees, professional money managers, smart private investors, and business students who want to understand the economics behind factor risk premiums, to harvest them efficiently in their portfolios, and to embark on the search for true alpha.

Mathematics Galore!

Masterclasses, Workshops and Team Projects in Mathematics and Its Applications

Author: Christopher Budd,Christopher Sangwin

Publisher: Oxford University Press

ISBN: 9780198507703

Category: Juvenile Nonfiction

Page: 254

View: 8147

This book is a series of self-contained workshops in mathematics which aim to enthuse and inspire young people, their parents and teachers with the joy and excitement of modern mathematics. Written in an informal style, each chapter describes how novel mathematical ideas relate directly to real life. The chapters contain both a description of the mathematics and its applications together with problem sheets, their solutions and ideas for further work, project and field trips. Topics include; mazes, folk dancing, sundials, magic, castles, codes, number systems, and slide rules. This book should be accessible to young people from age thirteen upwards and yet contains material which should stretch the brightest students.


Author: Nicholas Aggor

Publisher: Author House

ISBN: 1491825995

Category: Education

Page: 538

View: 7469

I wrote the book, "How To Make Successful Students In One Year - A Model For The World," as a true testament of real world academic success for parents, teachers, students, school districts and governments of the world. I used my skills as a very successful senior engineer (with critical engineering quality controls) and a very successful parent to design many practical innovations to help parents, teachers, students, school districts and governments to make successful students starting from today. The results from using this book are immediate, effective, significant and they work for all determined students of the world. I recommend this book for all parents, teachers, students, school districts and governments of the world.

The interface of knots and physics

Author: Louis H. Kauffman

Publisher: American Mathematical Soc.

ISBN: 9780821867563


Page: N.A

View: 7786

This book is the result of an AMS Short Course on Knots and Physics that was held in San Francisco (January 1994). The range of the course went beyond knots to the study of invariants of low dimensional manifolds and extensions of this work to four manifolds and to higher dimensions. The authors use ideas and methods of mathematical physics to extract topological information about knots and manifolds. Features: A basic introduction to knot polynomials in relation to statistical link invariants. Concise introductions to topological quantum field theories and to the role of knot theory in quantum gravity. Knots and Physics would be an excellent supplement to a course on algebraic topology or a physics course on field theory.

Das Chaos im Karpfenteich oder Wie Mathematik unsere Welt regiert

Author: Richard Elwes

Publisher: Springer-Verlag

ISBN: 3642417930

Category: Mathematics

Page: 464

View: 5918

Von gespiegelten Universen, sozialen Netzwerken, dem Aufstieg des Homo oeconomicus und dem Ärger im Lehrerzimmer Kann uns die Mathematik helfen, besser zu lügen? Wird es Maschinen geben, die klüger sind als wir? Wie wäre es, in einem gespiegelten Universum zu leben? Was können wir von Fischen in einem Teich lernen? Ob Sie es glauben oder nicht – Antworten auf all diese Fragen finden Sie in der Welt der Zahlen. Mathematik ist einfach überall. Dieses Buch behandelt in 35 kurzen Kapiteln ihre überraschendsten Anwendungen im Alltag. Es holt das oft so ungeliebte Fach aus dem Klassenzimmer mitten ins Leben, und es zeigt, wie die Mathematik jenes „verborgene Netz“ knüpft, das unsere Welt durchdringt und beherrscht. Richard Elwes lädt sie zu einer anregenden Entdeckungsreise ein. Es geht um Wettervorhersagen, Wahlen und Warteschlangen, um bildgebende Verfahren und schwarze Löcher, um ein mathematisches Modell, wie man zu Reichtum gelangt, und um Einsteins Wegweiser durch den Raum. Sie werden die Formel für jedes jemals geschossene Foto kennenlernen und sich Ihrer eigenen Erbsubstanz nähern. Das Chaos im Karpfenteich zeigt, warum die oft so fremd erscheinende Welt der Mathematik Ihnen viel näher und vertrauter ist, als Sie es sich bisher vorstellen konnten.

Indra's Pearls

The Vision of Felix Klein

Author: David Mumford,Caroline Series,David Wright

Publisher: Cambridge University Press

ISBN: 9780521352536

Category: Mathematics

Page: 395

View: 1267

Highly illustrated realization of infinitely reflected images related to fractals, chaos and symmetry.

Homers letzter Satz

Die Simpsons und die Mathematik

Author: Simon Singh

Publisher: Carl Hanser Verlag GmbH Co KG

ISBN: 3446437738

Category: Science

Page: 320

View: 9569

Die Simpsons sind nicht nur „eines der intelligentesten Kunstwerke unserer Zeit“ (Daniel Kehlmann), sie stecken auch voller Mathematik! Spielerisch leicht und unterhaltsam lüftet Simon Singh die mathematischen Geheimnisse der erfolgreichsten TV-Serie der Welt. Ob Homer ein donutförmiges Universum entwirft, den berühmten Fermat‘schen Satz zu widerlegen scheint, oder Lisa als Baseballtrainerin den Geheimnissen der Statistik auf die Spur kommt: Der Bestsellerautor aus Großbritannien nimmt die Episoden der Simpsons zum Ausgangspunkt für eine Tour d’Horizon durch die Welt der Algebra und Geometrie. Ein Muss für Millionen Simpsons-Fans - und ein Buch, das die Mathematik ins Zentrum der Populärkultur rückt. „Simon Singh deckt auf, wie Simpsons-Fans jahrzehntelang klammheimlich Mathe-Unterricht erhielten. Ein brillantes Buch.“ David X. Cohen, Autor von Futurama und Die Simpsons "Sie glauben, dass sich Mathematik und Humor widersprechen? Simon Singh beweist das Gegenteil!" Christoph Drösser, Journalist der Zeit

The Mathematics of Medical Imaging

A Beginner’s Guide

Author: Timothy G. Feeman

Publisher: Springer Science & Business Media

ISBN: 0387927115

Category: Computers

Page: 141

View: 7686

Medical imaging is a major part of twenty-first century health care. This introduction explores the mathematical aspects of imaging in medicine to explain approximation methods in addition to computer implementation of inversion algorithms.

Biomath in the Schools

Author: Margaret B. Cozzens,Fred S. Roberts

Publisher: American Mathematical Soc.

ISBN: 0821842951

Category: Mathematics

Page: 245

View: 5952

Even though contemporary biology and mathematics are inextricably linked, high school biology and mathematics courses have traditionally been taught in isolation. But this is beginning to change. This volume presents papers related to the integration of biology and mathematics in high school classes. The first part of the book provides the rationale for integrating mathematics and biology in high school courses as well as opportunities for doing so. The second part explores the development and integration of curricular materials and includes responses from teachers. Papers in the third part of the book explore the interconnections between biology and mathematics in light of new technologies in biology. The last paper in the book discusses what works and what doesn't and presents positive responses from students to the integration of mathematics and biology in their classes.