The Golden Ratio: The Story of PHI, the World's Most Astonishing Number
by Mario Livio
from Broadway
Throughout history, thinkers from mathematicians to theologians have pondered the mysterious relationship between numbers and the nature of reality. In this fascinating book, Mario Livio tells the tale of a number at the heart of that mystery: phi, or 1.6180339887...This curious mathematical relationship, widely known as "The Golden Ratio," was discovered by Euclid more than two thousand years ago because of its crucial role in the construction of the pentagram, to which magical properties had been attributed. Since then it has shown a propensity to appear in the most astonishing variety of places, from mollusk shells, sunflower florets, and rose petals to the shape of the galaxy. Psychological studies have investigated whether the Golden Ratio is the most aesthetically pleasing proportion extant, and it has been asserted that the creators of the Pyramids and the Parthenon employed it. It is believed to feature in works of art from Leonardo da Vinci's Mona Lisa to Salvador Dali's The Sacrament of the Last Supper, and poets and composers have used it in their works. It has even been found to be connected to the behavior of the stock market!
The Golden Ratio is a captivating journey through art and architecture, botany and biology, physics and mathematics. It tells the human story of numerous phi-fixated individuals, including the followers of Pythagoras who believed that this proportion revealed the hand of God; astronomer Johannes Kepler, who saw phi as the greatest treasure of geometry; such Renaissance thinkers as mathematician Leonardo Fibonacci of Pisa; and such masters of the modern world as Goethe, Cezanne, Bartok, and physicist Roger Penrose. Wherever his quest for the meaning of phi takes him, Mario Livio reveals the world as a place where order, beauty, and eternal mystery will always coexist.
From the Hardcover edition.
Math Word Problems Demystified
by Allan G. Bluman
from McGraw-Hill Professional
Word problems are the most difficult part of any math course –- and the most important to both the SATs and other standardized tests. This book teaches proven methods for analyzing and solving any type of math word problem.
Word problems are the most difficult part of any math course -- and the most important to both the SATs and other standardized tests. This book teaches proven methods for analyzing and solving any type of math word problem.
100 Statistical Tests
by Gopal K Kanji
from Sage Publications Ltd
This expanded and updated Third Edition of Gopal K. Kanji’s best-selling resource on statistical tests covers all the most commonly used tests with information on how to calculate and interpret results with simple datasets.
Each entry begins with a short summary statement about the test’s purpose, and contains details of the test objective, the limitations (or assumptions) involved, a brief outline of the method, a worked example, and the numerical calculation.
New to the Third Edition:
- A brand new introduction to statistical testing with information to guide the reader through the book so that even non-statistics students can find information quickly and easily
- Real-world explanations of how and when to use each test with examples drawn from wide range of disciplines
- A useful Classification of Tests table
- All the relevant statistical tables for checking critical values
100 Statistical Tests, Third Edition is the one indispensable guide for users of statistical materials and consumers of statistical information at all levels and across all disciplines.
is the one indispensable guide for users of statistical materials and consumers of statistical information at all levels and across all disciplines. (20061205)Operations Research: Applications and Algorithms (with CD-ROM and InfoTrac®)
by Wayne L. Winston
from Duxbury Press
The market-leading textbook for the course, Winston's OPERATIONS RESEARCH owes much of its success to its practical orientation and consistent emphasis on model formulation and model building. It moves beyond a mere study of algorithms without sacrificing the rigor that faculty desire. As in every edition, Winston reinforces the book's successful features and coverage with the most recent developments in the field. The Student Suite CD-ROM, which now accompanies every new copy of the text, contains the latest versions of commercial software for optimization, simulation, and decision analysis.
Mathematical Methods For Physicists
by George B. Arfken
from Academic Press
This best-selling title provides in one handy volume the essential mathematical tools and techniques used to solve problems in physics. It is a vital addition to the bookshelf of any serious student of physics or research professional in the field. The authors have put considerable effort into revamping this new edition.
* Updates the leading graduate-level text in mathematical physics
* Provides comprehensive coverage of the mathematics necessary for advanced study in physics and engineering
* Focuses on problem-solving skills and offers a vast array of exercises
* Clearly illustrates and proves mathematical relations
New in the Sixth Edition:
* Updated content throughout, based on users' feedback
* More advanced sections, including differential forms and the elegant forms of Maxwell's equations
* A new chapter on probability and statistics
* More elementary sections have been deleted
Measure for Measure
by Thomas J. Glover
from Sequoia Pub
The Most Comprehensive Conversion Factor Book in the World! This book sets a new standard for accurate, user-friendly conversion factor references. Specifically designed for engineers, scientists, teachers, students, maintenance, construction and industrial workers.
Calculations for Molecular Biology and Biotechnology: A Guide to Mathematics in the Laboratory
by Frank H. Stephenson
from Academic Press
Calculations in Molecular Biology and Biotechnology: A Guide to Mathematics in the Laboratory is the first comprehensive guide devoted exclusively to calculations encountered in the genetic engineering laboratory. Mathematics, as a vital component of the successful design and interpretation of basic research, is used daily in laboratory work. This guide, written for students, technicians, and scientists, provides example calculations for the most frequently confronted problems encountered in gene discovery and analysis. The text and sample calculations are written in an easy-to-follow format. It is the perfect laboratory companion for anyone working in DNA manipulation and analysis.
*A comprehensive guide to calculations for a wide variety of problems encountered in the basic research laboratory.
* Example calculations are worked through from start to finish in easy-to-follow steps
* Key chapters devoted to calculations encountered when working with bacteria, phage, PCR, radioisotopes, recombinant DNA, centrifugation, oligonucleotides, protein, and forensic science.
*Written for students and laboratory technicians but a useful reference for the more experienced researcher.
*A valuable teaching resource.
Fundamental Concepts in the Design of Experiments
by Charles R. Hicks
from Oxford University Press, USA
Fundamental Concepts in the Design of Experiments, 5/e offers comprehensive coverage of the key elements of experimental design used by applied researchers to solve problems in the field. Wide-ranging and accessible, it shows students how to use applied statistics for planning, running, and analyzing experiments. Featuring over 350 problems taken from the authors' actual industrial consulting experiences, the text gives students valuable practice with real data and problem solving. The problems emphasize the basic philosophy of design and are simple enough for students with limited mathematical backgrounds to understand. The authors provide extensive coverage of the analysis of residuals, the concept of resolution in fractional replications, Plackett-Burman designs, and Taguchi techniques. SAS (Statistical Analysis System) computer programs are incorporated to facilitate analysis.
Thoroughly revised and updated, this new edition includes sixty new problems, focuses more on computer use (adding computer outputs from statistical packages like Minitab, SPSS, and JMP), and emphasizes graphical procedures including residual plots and normal quantile plots. Ideal for various advanced undergraduate and graduate experimental methods courses taught in statistics, engineering, and mathematics departments, this book will also appeal to professionals and researchers doing experimental work.
Spline Regression Models (Quantitative Applications in the Social Sciences)
by Lawrence C. Marsh
from Sage Publications, Inc
Spline Regression Models shows the nuts-and-bolts of using dummy variables to formulate and estimate various spline regression models. For some researchers this will involve situations where the number and location of the spline knots are known in advance, while others will need to determine the number and location of spline knots as part of the estimation process. Through the use of a number of straightforward examples, the authors will show readers how to work with both types of spline knot situations as well as offering practical, down-to-earth information on estimating splines.
Fibonacci's Liber Abaci
by Laurence Sigler
from Springer
First published in 1202, Fibonacci's Liber abaci was one of the most important books on mathematics in the Middle Ages, introducing Arabic numerals and methods throughout Europe. Its author, Leonardo Pisano, known today as Fibonacci, was a citizen of Pisa, an active maritime power, with trading outposts on the Barbary Coast and other points in the Muslim Empire. As a youth, Fibonacci was instructed in mathematics in one of these outposts; he continued his study of mathematics while traveling extensively on business and developed contacts with scientists throughout the Mediterranean world. A member of the academic court around the Emperor Frederick II, Leonardo saw clearly the advantages for both commerce and scholarship of the Hindu positional number system and the algebraic methods developed by al-Khwarizmi and other Muslim scientists. Though it is known as an introduction to the Hindu number system and the algorithms of arithmetic that children now learn in grade school, "Liber abaci" is much more: an encyclopaedia of thirteenth-century mathematics, both theoretical and practical. It develops the tools rigorously, establishing them with Euclidean geometric proofs, and then shows how to apply them to all kinds of situations in business and trade - conversion of measures and currency, allocations of profit, computation of interest, alloying of currencies, and so forth. It is rigorous mathematics, well applied, and vividly described. As the first translation into a modern language of the "Liber abaci", this book will be of interest not only to historians of science, but to all mathematicians and mathematics teachers interested in the origins of their methods.
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