Makers of Mathematics

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Author: Stuart Hollingdale

Publisher: Courier Corporation

ISBN: 0486450074

Category: Mathematics

Page: 439

View: 2515

Each chapter of this portrait of the evolution of mathematics examines the work of an individual — Archimedes, Descartes, Fermat, Pascal, Newton, Einstein, and others — to explore the mathematics of his era. Rather than a series of biographical profiles, readers encounter an accessible chronology of pioneering developments in mathematics. 1989 edition.

Spieltheorie

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Author: Ken Binmore

Publisher: N.A

ISBN: 9783150185902

Category:

Page: 272

View: 5000

Creators of Mathematical and Computational Sciences

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Author: Ravi P Agarwal,Syamal K Sen

Publisher: Springer

ISBN: 3319108700

Category: Mathematics

Page: 495

View: 5413

​The book records the essential discoveries of mathematical and computational scientists in chronological order, following the birth of ideas on the basis of prior ideas ad infinitum. The authors document the winding path of mathematical scholarship throughout history, and most importantly, the thought process of each individual that resulted in the mastery of their subject. The book implicitly addresses the nature and character of every scientist as one tries to understand their visible actions in both adverse and congenial environments. The authors hope that this will enable the reader to understand their mode of thinking, and perhaps even to emulate their virtues in life.

Mathematical Recreations and Essays

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Author: Walter William Rouse Ball,Harold Scott Macdonald Coxeter

Publisher: Courier Corporation

ISBN: 0486253570

Category: Games

Page: 428

View: 2273

This classic work offers scores of stimulating, mind-expanding games and puzzles: arithmetical and geometrical problems, chessboard recreations, magic squares, map-coloring problems, cryptography and cryptanalysis, much more. "A must to add to your mathematics library" ? The Mathematics Teacher. Index. References for Further Study. Includes 150 black-and-white line illustrations.

Challenging Math Problems

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Author: Terry Stickels

Publisher: Courier Dover Publications

ISBN: 0486808572

Category: Mathematics

Page: 112

View: 1584

"Fun and highly formidable math problems and puzzles from noted puzzle creator Terry Stickels." — Window on Resources Two friends wish to meet for breakfast twice a month throughout the year. In how many ways can they choose those two days so that they never meet on consecutive days? You want to measure 30 seconds and you have two pieces of string, each of which burns for 40 seconds. How can you accomplish this without bending, folding, or cutting the strings? A positive whole number is divisible by 3 and also by 5. When the number is divided by 7, the remainder is 5. What is the smallest number that could work? These are but a few of this book's assembly of the most challenging puzzles imaginable ― and they require no background in higher math, just good thinking skills. Terry Stickels, a well-known puzzle-maker, has compiled 101 of some of the best and most entertaining problems ever published. All of the challenges, which range from probability puzzles to dice games, have two things in common: each offers the "Aha!" moment of discovery that puzzle-solvers love, and they're all fun. Complete solutions for all puzzles explain every detail.

Mathematical Masterpieces

Further Chronicles by the Explorers

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Author: Art Knoebel,Reinhard Laubenbacher,Jerry Lodder,David Pengelley

Publisher: Springer Science & Business Media

ISBN: 0387330623

Category: Mathematics

Page: 340

View: 9311

Intended for juniors and seniors majoring in mathematics, as well as anyone pursuing independent study, this book traces the historical development of four different mathematical concepts by presenting readers with the original sources. Each chapter showcases a masterpiece of mathematical achievement, anchored to a sequence of selected primary sources. The authors examine the interplay between the discrete and continuous, with a focus on sums of powers. They then delineate the development of algorithms by Newton, Simpson and Smale. Next they explore our modern understanding of curvature, and finally they look at the properties of prime numbers. The book includes exercises, numerous photographs, and an annotated bibliography.

Lectures on the Mathematical Method in Analytical Economics

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Author: Jacob T. Schwartz

Publisher: Courier Dover Publications

ISBN: 0486835596

Category: Mathematics

Page: 304

View: 3159

Early but still useful contribution to the science of mathematical economics explores the Leontif model and the technological basis of production, theory of business cycles, and neoclassical equilibrium theory. 1961 edition.

The Great Mathematicians

Unravelling the Mysteries of the Universe

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Author: Raymond Flood,Robin Wilson

Publisher: Arcturus Publishing

ISBN: 1848589484

Category: History

Page: N.A

View: 8570

In this book, you'll learn why Florence Nightingale introduced pie charts, how Lewis Carroll regarded Pythagoras, and why some infinities are larger than others. You'll also meet the mathematician who knew eight languages by the time he was 11, the one who was sent to jail for gambling and the one who published a lot yet never existed. Organised...

Trigonometric Delights

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Author: Eli Maor

Publisher: Princeton University Press

ISBN: 1400846757

Category: Mathematics

Page: 256

View: 4160

Trigonometry has always been an underappreciated branch of mathematics. It has a reputation as a dry and difficult subject, a glorified form of geometry complicated by tedious computation. In this book, Eli Maor draws on his remarkable talents as a guide to the world of numbers to dispel that view. Rejecting the usual arid descriptions of sine, cosine, and their trigonometric relatives, he brings the subject to life in a compelling blend of history, biography, and mathematics. He presents both a survey of the main elements of trigonometry and a unique account of its vital contribution to science and social development. Woven together in a tapestry of entertaining stories, scientific curiosities, and educational insights, the book more than lives up to the title Trigonometric Delights. ? Maor, whose previous books have demystified the concept of infinity and the unusual number "e," begins by examining the "proto-trigonometry" of the Egyptian pyramid builders. He shows how Greek astronomers developed the first true trigonometry. He traces the slow emergence of modern, analytical trigonometry, recounting its colorful origins in Renaissance Europe's quest for more accurate artillery, more precise clocks, and more pleasing musical instruments. Along the way, we see trigonometry at work in, for example, the struggle of the famous mapmaker Gerardus Mercator to represent the curved earth on a flat sheet of paper; we see how M. C. Escher used geometric progressions in his art; and we learn how the toy Spirograph uses epicycles and hypocycles. Maor also sketches the lives of some of the intriguing figures who have shaped four thousand years of trigonometric history. We meet, for instance, the Renaissance scholar Regiomontanus, who is rumored to have been poisoned for insulting a colleague, and Maria Agnesi, an eighteenth-century Italian genius who gave up mathematics to work with the poor--but not before she investigated a special curve that, due to mistranslation, bears the unfortunate name "the witch of Agnesi." The book is richly illustrated, including rare prints from the author's own collection. Trigonometric Delights will change forever our view of a once dreaded subject.

Analysis I

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Author: Christiane Tretter

Publisher: Springer-Verlag

ISBN: 3034803494

Category: Mathematics

Page: 157

View: 5097

Das Lehrbuch ist der erste von zwei einführenden Bänden in die Analysis. Es zeichnet sich dadurch aus, dass alle klassischen Themen der Analysis des ersten Semesters kompakt zusammengefasst sind und dennoch auf typische Anfängerprobleme eingegangen wird. Neben einer Einführung in die formale Sprache und die wichtigsten Beweistechniken der Mathematik bietet der Band eingängige Erläuterungen zu abstrakten Begriffen. Alle prüfungsrelevanten Inhalte sind abgedeckt und können anhand von Beispielen, Gegenbeispielen und Aufgaben nachvollzogen werden.

The Joy of x

Die Schönheit der Mathematik

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Author: Steven Strogatz

Publisher: Kein & Aber AG

ISBN: 3036992693

Category: Mathematics

Page: 352

View: 8814

Mathematik durchdringt den ganzen Kosmos. Das weiß jeder, doch nur die wenigsten verstehen die Zusammenhänge wirklich. Steven Strogatz nimmt uns bei der Hand und spaziert mit uns durch diese Welt der Weisheit, Klarheit und Eleganz. Als Reiseleiter geht er neue, erfrischende Wege, deutet auf Besonderheiten, schildert Hintergründe und erklärt die unsichtbaren Mechanismen. Wir erfahren unter anderem von dem Wunder des Zählens, der genialen Einfachheit der Algebra, dem ewigen Erbe Newtons, dem Tango mit Quadraten, der Zweisamkeit von Primzahlen und der Macht des Unendlichen. Mit all seiner Begeisterung, seinem Scharfblick und seinem leichtem Ton hat Steven Strogatz ein herrliches Buch für alle geschrieben, die ihr Verständnis von Mathematik auf eine neue Art vertiefen möchten.

Satan, Cantor und die Unendlichkeit

und 200 weitere verblüffende Tüfteleien

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Author: Raymond Smullyan

Publisher: Springer-Verlag

ISBN: 3034862318

Category: Juvenile Nonfiction

Page: 232

View: 8289

Mathematics of the Incas

Code of the Quipu

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Author: Marcia Ascher,Robert Ascher

Publisher: Courier Corporation

ISBN: 0486152707

Category: Science

Page: 176

View: 4988

Unique, thought-provoking study discusses quipu, an accounting system employing knotted, colored cords, used by Incas. Cultural context, mathematics involved, and even how to make a quipu. Over 125 illustrations.

Evolvodynamics - The Mathematical Theory of Economic Evolution

A Coherent Way of Interpreting Time, Scarceness, Value and Economic Growth

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Author: Len H. Wallast

Publisher: Springer Science & Business Media

ISBN: 3642340563

Category: Business & Economics

Page: 279

View: 6256

Dissatisfied with the flaws of orthodox economics, the author proposes to base economic theory on the three principles of Darwinian evolution (variation, inheritance, selection). Pursuing a suggestion of E.T. Jaynes of 1991, the innovation is in treating economic behavior as chance events of selection. This involves abandoning the methods of mainstream economics and to apply instead the methods by which Claude E. Shannon analyzed information transport over a stationary channel. As economic processes are non-stationary, the author clarifies first how the Shannon-system must be reshaped in a system capable to describe economic evolution mathematically. As economic processes are non-stationary, the author first clarifies how the Shannon system must be reshaped into one capable of describing economic evolutions mathematically. Deriving the universal relations between input, output, the economic growth rate, inflation and money flow involves applying differential sets of selection, Venn diagrams, bitpulses as units of selection and the probability distributions of bitpulses. This is a thought-provocative and highly informative book of which the explanatory power goes far beyond that of traditional economics. It should be on the readers list of everyone concerned with the weal and woe of economic theorizing.

How to Gamble If You Must

Inequalities for Stochastic Processes

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Author: Lester E. Dubins,Leonard J. Savage,William Sudderth,David Gilat

Publisher: Courier Corporation

ISBN: 0486780643

Category: Mathematics

Page: 304

View: 2781

This classic of advanced statistics is geared toward graduate-level readers and uses the concepts of gambling to develop important ideas in probability theory. The authors have distilled the essence of many years' research into a dozen concise chapters. "Strongly recommended" by the Journal of the American Statistical Association upon its initial publication, this revised and updated edition features contributions from two well-known statisticians that include a new Preface, updated references, and findings from recent research. Following an introductory chapter, the book formulates the gambler's problem and discusses gambling strategies. Succeeding chapters explore the properties associated with casinos and certain measures of subfairness. Concluding chapters relate the scope of the gambler's problems to more general mathematical ideas, including dynamic programming, Bayesian statistics, and stochastic processes. Dover (2014) revised and updated republication of the 1976 Dover edition entitled Inequalities for Stochastic Processes. See every Dover book in print at www.doverpublications.com

Games and Decisions

Introduction and Critical Survey

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Author: R. Duncan Luce,Howard Raiffa

Publisher: Courier Corporation

ISBN: 0486134830

Category: Mathematics

Page: 544

View: 2255

Superb non-technical introduction to game theory, primarily applied to social sciences. Clear, comprehensive coverage of utility theory, 2-person zero-sum games, 2-person non-zero-sum games, n-person games, individual and group decision-making, more. Bibliography.