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Excursions In Modern Mathematics

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Excursions in Modern Mathematics

Excursions in Modern Mathematics Book
Author : Peter Tannenbaum
Publisher : Pearson College Division
Release : 2012-12-21
ISBN : 9780321825735
Language : En, Es, Fr & De

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Book Description :

Normal 0 false false false Excursions in Modern Mathematics introduces you to the power of math by exploring applications like social choice and management science, showing that math is more than a set of formulas. Ideal for an applied liberal arts math course, Tannenbaum's text is known for its clear, accessible writing style and its unique exercise sets that build in complexity from basic to more challenging. The Eighth Edition offers more real data and applications to connect with today's readesr, expanded coverage of applications like growth, and revised exercise sets.

Student Resource Guide

Student Resource Guide Book
Author : Dale R. Buske,Peter Tannenbaum
Publisher : Prentice Hall
Release : 2006-08
ISBN : 9780131873827
Language : En, Es, Fr & De

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Book Description :

Student Resource Guide contains full worked out solutions to odd-numbered exercises from the text, "selected hints" that point the reader in one of many directions leading to a solution and keys to student success including lists of skills that will help prepare for chapter exams.

Mathematical Excursions to the World s Great Buildings

Mathematical Excursions to the World s Great Buildings Book
Author : Alexander J. Hahn
Publisher : Princeton University Press
Release : 2012-07-22
ISBN : 1400841992
Language : En, Es, Fr & De

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Book Description :

How mathematics helped build the world's most important buildings from early Egypt to the present From the pyramids and the Parthenon to the Sydney Opera House and the Bilbao Guggenheim, this book takes readers on an eye-opening tour of the mathematics behind some of the world's most spectacular buildings. Beautifully illustrated, the book explores the milestones in elementary mathematics that enliven the understanding of these buildings and combines this with an in-depth look at their aesthetics, history, and structure. Whether using trigonometry and vectors to explain why Gothic arches are structurally superior to Roman arches, or showing how simple ruler and compass constructions can produce sophisticated architectural details, Alexander Hahn describes the points at which elementary mathematics and architecture intersect. Beginning in prehistoric times, Hahn proceeds to guide readers through the Greek, Roman, Islamic, Romanesque, Gothic, Renaissance, and modern styles. He explores the unique features of the Pantheon, the Hagia Sophia, the Great Mosque of Cordoba, the Duomo in Florence, Palladio's villas, and Saint Peter's Basilica, as well as the U.S. Capitol Building. Hahn celebrates the forms and structures of architecture made possible by mathematical achievements from Greek geometry, the Hindu-Arabic number system, two- and three-dimensional coordinate geometry, and calculus. Along the way, Hahn introduces groundbreaking architects, including Brunelleschi, Alberti, da Vinci, Bramante, Michelangelo, della Porta, Wren, Gaudí, Saarinen, Utzon, and Gehry. Rich in detail, this book takes readers on an expedition around the globe, providing a deeper understanding of the mathematical forces at play in the world's most elegant buildings.

Excursions in Number Theory

Excursions in Number Theory Book
Author : Charles Stanley Ogilvy,John Timothy Anderson
Publisher : Courier Corporation
Release : 1988-01-01
ISBN : 9780486257785
Language : En, Es, Fr & De

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Book Description :

Challenging, accessible mathematical adventures involving prime numbers, number patterns, irrationals and iterations, calculating prodigies, and more. No special training is needed, just high school mathematics and an inquisitive mind. "A splendidly written, well selected and presented collection. I recommend the book unreservedly to all readers." — Martin Gardner.

Excursions in Geometry

Excursions in Geometry Book
Author : Charles Stanley Ogilvy
Publisher : Courier Corporation
Release : 1990-01-01
ISBN : 0486265307
Language : En, Es, Fr & De

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Book Description :

A straightedge, compass, and a little thought are all that's needed to discover the intellectual excitement of geometry. Harmonic division and Apollonian circles, inversive geometry, hexlet, Golden Section, more. 132 illustrations.

Playing with Infinity

Playing with Infinity Book
Author : Rózsa Péter
Publisher : Courier Corporation
Release : 2012-04-04
ISBN : 0486150054
Language : En, Es, Fr & De

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Book Description :

Popular account ranges from counting to mathematical logic and covers many concepts related to infinity: graphic representation of functions; pairings, other combinations; prime numbers; logarithms, circular functions; more. 216 illustrations.

When Einstein Walked with G del

When Einstein Walked with G  del Book
Author : Jim Holt
Publisher : Farrar, Straus and Giroux
Release : 2018-05-15
ISBN : 0374717842
Language : En, Es, Fr & De

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Book Description :

From Jim Holt, the New York Times bestselling author of Why Does the World Exist?, comes an entertaining and accessible guide to the most profound scientific and mathematical ideas of recent centuries in When Einstein Walked with Gödel: Excursions to the Edge of Thought. Does time exist? What is infinity? Why do mirrors reverse left and right but not up and down? In this scintillating collection, Holt explores the human mind, the cosmos, and the thinkers who’ve tried to encompass the latter with the former. With his trademark clarity and humor, Holt probes the mysteries of quantum mechanics, the quest for the foundations of mathematics, and the nature of logic and truth. Along the way, he offers intimate biographical sketches of celebrated and neglected thinkers, from the physicist Emmy Noether to the computing pioneer Alan Turing and the discoverer of fractals, Benoit Mandelbrot. Holt offers a painless and playful introduction to many of our most beautiful but least understood ideas, from Einsteinian relativity to string theory, and also invites us to consider why the greatest logician of the twentieth century believed the U.S. Constitution contained a terrible contradiction—and whether the universe truly has a future.

Excursions in Modern Mathematics

Excursions in Modern Mathematics Book
Author : Peter Tannenbaum
Publisher : Unknown
Release : 2018
ISBN : 9780134468372
Language : En, Es, Fr & De

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Book Description :

For courses in Liberal Arts Mathematics. Math: Applicable, Accessible, Modern Excursions in Modern Mathematics introduces readers to the power and beauty of math. By developing an appreciation for the aesthetics and applicability of mathematics, readers who previously felt math was an "unknowable" subject can approach it with a new perspective. Contemporary topics ranging from elections, to networks, to analyzing data show readers that math is an accessible tool that can be applicable and interesting for anyone. Refinement and updating of examples and exercises, plus increased resources, makes the 9th Edition a relevant, accessible, and complete program. Also available with MyLab Math. MyLab(TM) Math is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts. NOTE: You are purchasing a standalone product; MyLab Math does not come packaged with this content. If you would like to purchase both the physical text and MyLab Math, search for: 0134765826 / 9780134765822 Excursions in Modern Mathematics Plus MyLab Math -- Title-Specific Access Card Package, 9/e Package consists of: 0134468376 / 9780134468372 Excursions in Modern Mathematics 0134751817 / 9780134751818 MyLab Math with Pearson eText -- Standalone Access Card -- for Excursions in Modern Mathematics

A Concrete Approach to Classical Analysis

A Concrete Approach to Classical Analysis Book
Author : Marian Muresan
Publisher : Springer Science & Business Media
Release : 2015-09-16
ISBN : 0387789332
Language : En, Es, Fr & De

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Book Description :

Mathematical analysis offers a solid basis for many achievements in applied mathematics and discrete mathematics. This new textbook is focused on differential and integral calculus, and includes a wealth of useful and relevant examples, exercises, and results enlightening the reader to the power of mathematical tools. The intended audience consists of advanced undergraduates studying mathematics or computer science. The author provides excursions from the standard topics to modern and exciting topics, to illustrate the fact that even first or second year students can understand certain research problems. The text has been divided into ten chapters and covers topics on sets and numbers, linear spaces and metric spaces, sequences and series of numbers and of functions, limits and continuity, differential and integral calculus of functions of one or several variables, constants (mainly pi) and algorithms for finding them, the W - Z method of summation, estimates of algorithms and of certain combinatorial problems. Many challenging exercises accompany the text. Most of them have been used to prepare for different mathematical competitions during the past few years. In this respect, the author has maintained a healthy balance of theory and exercises.

Foundations of Modern Probability

Foundations of Modern Probability Book
Author : Olav Kallenberg
Publisher : Springer Science & Business Media
Release : 2002-01-08
ISBN : 9780387953137
Language : En, Es, Fr & De

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Book Description :

The first edition of this single volume on the theory of probability has become a highly-praised standard reference for many areas of probability theory. Chapters from the first edition have been revised and corrected, and this edition contains four new chapters. New material covered includes multivariate and ratio ergodic theorems, shift coupling, Palm distributions, Harris recurrence, invariant measures, and strong and weak ergodicity.

Mathematical Excursions

Mathematical Excursions Book
Author : Richard N. Aufmann,Daniel K. Clegg,Richard D. Nation,Joanne S. Lockwood
Publisher : Houghton Mifflin College Division
Release : 2006-01-01
ISBN : 9780618608539
Language : En, Es, Fr & De

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Book Description :

By presenting problem solving in purposeful and meaningful contexts, Mathematical Excursions, 2/e, provides students in the Liberal Arts course with a glimpse into the nature of mathematics and how it is used to understand our world. Highlights of the book include the proven Aufmann Interactive Method and multi-part Excursion exercises that emphasize collaborative learning. An extensive technology program provides instructors and students with a comprehensive set of support tools. New! Content new to this edition includes a subsection on Reading and Interpreting Graphs, a section on Right Triangle Trigonometry, and a section on Stocks, Bonds, and Annuities. New! Online algebra review appendix helps students review prerequisite algebra concepts. An Excursion activity and corresponding Excursion Exercises conclude each section, providing concept reinforcement and opportunities for in-class cooperative work, hands-on learning, and development of critical-thinking skills. Aufmann Interactive Method ensures that students try concepts and manipulate real-life data as they progress through the material. Every objective contains at least one set of matched-pair examples, the first of which is a completely worked-out example with an annotated solution. The second problem, called Check Your Progress, is for the student to try. Each problem includes a reference to a fully worked-out solution in the back of the text. A section on Problem Solving Strategies in Chapter 1 introduces students to the inductive and deductive reasoning strategies they will use throughout the text. Question/Answer feature encourages students to pause and think about the current discussion and to answer the question. For immediate reinforcement, the Answer is provided in a footnote on the same page. Carefully developed exercise sets emphasize skill building, skill maintenance, concepts, and applications. Icons are used to identify various types of exercises, including writing, data analysis, graphing calculator, and web exercises. Extension exercises at the end of each exercise set include Critical Thinking, Cooperative Learning, and Explorations, which may require Internet or library research. Math Matters feature throughout the text helps to motivate students by demonstrating how and why math is applicable to contemporary, real-life situations. Variety of supporting margin notes includes Take Note, alerting students to a concept requiring special attention; Point of Interest, offering motivating contextual information; Historical Notes, providing background information or vignettes of individuals responsible for major advancements in their field; and Calculator Notes, providing point-of-use tips. Chapter-ending resources include a Chapter Summary with Key Words and Essential Concepts; Chapter Review Exercises (answers available in a special section), and a Chapter Test.

Infinitesimal How a Dangerous Mathematical Theory Shaped the Modern World

Infinitesimal  How a Dangerous Mathematical Theory Shaped the Modern World Book
Author : Amir Alexander
Publisher : Scientific American / Farrar, Straus and Giroux
Release : 2014-04-08
ISBN : 1429953926
Language : En, Es, Fr & De

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Book Description :

Pulsing with drama and excitement, Infinitesimal celebrates the spirit of discovery, innovation, and intellectual achievement-and it will forever change the way you look at a simple line. On August 10, 1632, five men in flowing black robes convened in a somber Roman palazzo to pass judgment on a deceptively simple proposition: that a continuous line is composed of distinct and infinitely tiny parts. With the stroke of a pen the Jesuit fathers banned the doctrine of infinitesimals, announcing that it could never be taught or even mentioned. The concept was deemed dangerous and subversive, a threat to the belief that the world was an orderly place, governed by a strict and unchanging set of rules. If infinitesimals were ever accepted, the Jesuits feared, the entire world would be plunged into chaos. In Infinitesimal, the award-winning historian Amir Alexander exposes the deep-seated reasons behind the rulings of the Jesuits and shows how the doctrine persisted, becoming the foundation of calculus and much of modern mathematics and technology. Indeed, not everyone agreed with the Jesuits. Philosophers, scientists, and mathematicians across Europe embraced infinitesimals as the key to scientific progress, freedom of thought, and a more tolerant society. As Alexander reveals, it wasn't long before the two camps set off on a war that pitted Europe's forces of hierarchy and order against those of pluralism and change. The story takes us from the bloody battlefields of Europe's religious wars and the English Civil War and into the lives of the greatest mathematicians and philosophers of the day, including Galileo and Isaac Newton, Cardinal Bellarmine and Thomas Hobbes, and Christopher Clavius and John Wallis. In Italy, the defeat of the infinitely small signaled an end to that land's reign as the cultural heart of Europe, and in England, the triumph of infinitesimals helped launch the island nation on a course that would make it the world's first modern state. From the imperial cities of Germany to the green hills of Surrey, from the papal palace in Rome to the halls of the Royal Society of London, Alexander demonstrates how a disagreement over a mathematical concept became a contest over the heavens and the earth. The legitimacy of popes and kings, as well as our beliefs in human liberty and progressive science, were at stake-the soul of the modern world hinged on the infinitesimal.

A Classical Introduction to Modern Number Theory

A Classical Introduction to Modern Number Theory Book
Author : K. Ireland,M. Rosen
Publisher : Springer Science & Business Media
Release : 2013-03-09
ISBN : 1475717792
Language : En, Es, Fr & De

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Book Description :

This book is a revised and greatly expanded version of our book Elements of Number Theory published in 1972. As with the first book the primary audience we envisage consists of upper level undergraduate mathematics majors and graduate students. We have assumed some familiarity with the material in a standard undergraduate course in abstract algebra. A large portion of Chapters 1-11 can be read even without such background with the aid of a small amount of supplementary reading. The later chapters assume some knowledge of Galois theory, and in Chapters 16 and 18 an acquaintance with the theory of complex variables is necessary. Number theory is an ancient subject and its content is vast. Any intro ductory book must, of necessity, make a very limited selection from the fascinat ing array of possible topics. Our focus is on topics which point in the direction of algebraic number theory and arithmetic algebraic geometry. By a careful selection of subject matter we have found it possible to exposit some rather advanced material without requiring very much in the way oftechnical background. Most of this material is classical in the sense that is was dis covered during the nineteenth century and earlier, but it is also modern because it is intimately related to important research going on at the present time.

The Unimaginable Mathematics of Borges Library of Babel

The Unimaginable Mathematics of Borges  Library of Babel Book
Author : William Goldbloom Bloch
Publisher : Oxford University Press
Release : 2008-08-25
ISBN : 9780199715169
Language : En, Es, Fr & De

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Book Description :

"The Library of Babel" is arguably Jorge Luis Borges' best known story--memorialized along with Borges on an Argentine postage stamp. Now, in The Unimaginable Mathematics of Borges' Library of Babel, William Goldbloom Bloch takes readers on a fascinating tour of the mathematical ideas hidden within one of the classic works of modern literature. Written in the vein of Douglas R. Hofstadter's Pulitzer Prize-winning G?del, Escher, Bach, this original and imaginative book sheds light on one of Borges' most complex, richly layered works. Bloch begins each chapter with a mathematical idea--combinatorics, topology, geometry, information theory--followed by examples and illustrations that put flesh on the theoretical bones. In this way, he provides many fascinating insights into Borges' Library. He explains, for instance, a straightforward way to calculate how many books are in the Library--an easily notated but literally unimaginable number--and also shows that, if each book were the size of a grain of sand, the entire universe could only hold a fraction of the books in the Library. Indeed, if each book were the size of a proton, our universe would still not be big enough to hold anywhere near all the books. Given Borges' well-known affection for mathematics, this exploration of the story through the eyes of a humanistic mathematician makes a unique and important contribution to the body of Borgesian criticism. Bloch not only illuminates one of the great short stories of modern literature but also exposes the reader--including those more inclined to the literary world--to many intriguing and entrancing mathematical ideas.

Is God a Mathematician

Is God a Mathematician  Book
Author : Mario Livio
Publisher : Simon and Schuster
Release : 2011-02-22
ISBN : 1416594434
Language : En, Es, Fr & De

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Book Description :

Bestselling author and astrophysicist Mario Livio examines the lives and theories of history’s greatest mathematicians to ask how—if mathematics is an abstract construction of the human mind—it can so perfectly explain the physical world. Nobel Laureate Eugene Wigner once wondered about “the unreasonable effectiveness of mathematics” in the formulation of the laws of nature. Is God a Mathematician? investigates why mathematics is as powerful as it is. From ancient times to the present, scientists and philosophers have marveled at how such a seemingly abstract discipline could so perfectly explain the natural world. More than that—mathematics has often made predictions, for example, about subatomic particles or cosmic phenomena that were unknown at the time, but later were proven to be true. Is mathematics ultimately invented or discovered? If, as Einstein insisted, mathematics is “a product of human thought that is independent of experience,” how can it so accurately describe and even predict the world around us? Physicist and author Mario Livio brilliantly explores mathematical ideas from Pythagoras to the present day as he shows us how intriguing questions and ingenious answers have led to ever deeper insights into our world. This fascinating book will interest anyone curious about the human mind, the scientific world, and the relationship between them.

Excursions in Modern Mathematics Books a la Carte Edition

Excursions in Modern Mathematics  Books a la Carte Edition Book
Author : Peter Tannenbaum
Publisher : Addison-Wesley Longman
Release : 2009-07-01
ISBN : 9780321656087
Language : En, Es, Fr & De

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Book Description :

Download Excursions in Modern Mathematics Books a la Carte Edition book written by Peter Tannenbaum, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Topological Methods in Modern Mathematics

Topological Methods in Modern Mathematics Book
Author : Lisa R. Goldberg,Anthony Valiant Phillips
Publisher : Publish or Perish
Release : 1993
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Topological Methods in Modern Mathematics book written by Lisa R. Goldberg,Anthony Valiant Phillips, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

A Book of Abstract Algebra

A Book of Abstract Algebra Book
Author : Charles C Pinter
Publisher : Courier Corporation
Release : 2010-01-14
ISBN : 0486474178
Language : En, Es, Fr & De

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Book Description :

Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.

Concepts of Modern Mathematics

Concepts of Modern Mathematics Book
Author : Ian Stewart
Publisher : Courier Corporation
Release : 2012-05-23
ISBN : 0486134954
Language : En, Es, Fr & De

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Book Description :

In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.

The Oxford Book of Modern Science Writing

The Oxford Book of Modern Science Writing Book
Author : Richard Dawkins
Publisher : Oxford University Press
Release : 2009
ISBN : 0199216819
Language : En, Es, Fr & De

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Book Description :

Selected and introduced by Richard Dawkins, The Oxford Book of Modern Science Writing is a celebration of the finest writing by scientists for a wider audience - revealing that many of the best scientists have displayed as much imagination and skill with the pen as they have in the laboratory.This is a rich and vibrant collection that captures the poetry and excitement of communicating scientific understanding and scientific effort from 1900 to the present day. Professor Dawkins has included writing from a diverse range of scientists, some of whom need no introduction, and some of whoseworks have become modern classics, while others may be less familiar - but all convey the passion of great scientists writing about their science.