# Search Results for "mathematical-excursions-to-the-world-s-great-buildings"

## Mathematical Excursions to the World's Great Buildings

**Author**: Alexander Hahn**Publisher:**Princeton University Press**ISBN:**0691145202**Category:**Architecture**Page:**317**View:**6390

Describes the mathematics behind the design of famous buildings, including the Parthenon, the Sydney Opera House, and the Bilbao Guggenheim.

## Calculus in Context

*Background, Basics, and Applications*

**Author**: Alexander J. Hahn**Publisher:**JHU Press**ISBN:**1421422301**Category:**Mathematics**Page:**712**View:**2518

Breaking the mold of existing calculus textbooks, Calculus in Context draws students into the subject in two new ways. Part I develops the mathematical preliminaries (including geometry, trigonometry, algebra, and coordinate geometry) within the historical frame of the ancient Greeks and the heliocentric revolution in astronomy. Part II starts with comprehensive and modern treatments of the fundamentals of both differential and integral calculus, then turns to a wide-ranging discussion of applications. Students will learn that core ideas of calculus are central to concepts such as acceleration, force, momentum, torque, inertia, and the properties of lenses. Classroom-tested at Notre Dame University, this textbook is suitable for students of wide-ranging backgrounds because it engages its subject at several levels and offers ample and flexible problem set options for instructors. Parts I and II are both supplemented by expansive Problems and Projects segments. Topics covered in the book include: • the basics of geometry, trigonometry, algebra, and coordinate geometry and the historical, scientific agenda that drove their development• a brief, introductory calculus from the works of Newton and Leibniz• a modern development of the essentials of differential and integral calculus• the analysis of specific, relatable applications, such as the arc of the George Washington Bridge; the dome of the Pantheon; the optics of a telescope; the dynamics of a bullet; the geometry of the pseudosphere; the motion of a planet in orbit; and the momentum of an object in free fall. Calculus in Context is a compelling exploration—for students and instructors alike—of a discipline that is both rich in conceptual beauty and broad in its applied relevance.

## Playing with Infinity

**Author**: Rózsa Péter**Publisher:**Courier Corporation**ISBN:**0486150054**Category:**Mathematics**Page:**288**View:**5818

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.

## Naming Infinity

*A True Story of Religious Mysticism and Mathematical Creativity*

**Author**: Loren Graham,Jean-Michel Kantor**Publisher:**Harvard University Press**ISBN:**0674032934**Category:**History**Page:**239**View:**4248

Looks at the competition between French and Russian mathematicians over the nature of infinity during the twentieth century.

## Mathematical Excursions

**Author**: Richard N. Aufmann,Joanne Lockwood,Richard D. Nation,Daniel K. Clegg**Publisher:**Cengage Learning**ISBN:**1305965582**Category:**Mathematics**Page:**1008**View:**2463

MATHEMATICAL EXCURSIONS, Fourth Edition, teaches you that mathematics is a system of knowing and understanding our surroundings. For example, sending information across the Internet is better understood when one understands that prime numbers are connected to credit card transactions; that compound interest is connected to student loans; and that the perils of radioactive waste take on new meaning when one understands exponential functions are connected to the disasters at Fukushima, Japan. The efficiency of the flow of traffic through an intersection is more interesting after seeing the system of traffic lights represented in a mathematical form. These are just a few of the facets of mathematics you will explore with this text. MATHEMATICAL EXCURSIONS will expand the way you know, perceive, and comprehend the world around you. Enjoy the journey! Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

## Math Exchanges

*Guiding Young Mathematicians in Small-group Meetings*

**Author**: Kassia Omohundro Wedekind**Publisher:**Stenhouse Publishers**ISBN:**1571108262**Category:**Education**Page:**202**View:**927

Traditionally, small-group math instruction has been used as a format for reaching children who struggle to understand. Math coach Kassia Omohundro Wedekind uses small-group instruction as the centerpiece of her math workshop approach, engaging all students in rigorous "math exchanges." The key characteristics of these mathematical conversations are that they are: 1) short, focused sessions that bring all mathematical minds together, 2) responsive to the needs of the specific group of mathematicians, and 3) designed for meaningful, guided reflection. As in reading and writing workshop, students in Kassia's math workshop are becoming self-directed and independent while participating in a classroom community of learners. Through the math exchanges, students focus on number sense and the big ideas of mathematics. Teachers guide the conversations with small groups of students, mediating talk and thinking as students share problem-solving strategies, discuss how math works, and move toward more effective and efficient approaches and greater mathematical understanding. Although grounded in theory and research, Math Exchanges is written for practicing teachers and answers such questions as the following: How can I use a math workshop approach and follow a certain textbook or set of standards? How should I form small groups? and How often should I meet with small groups? What should I focus on in small groups? How can I tell if my groups are making progress? What do small-group math exchanges look like, sound like, and feel like?

## King of Infinite Space

*Donald Coxeter, the Man Who Saved Geometry*

**Author**: Siobhan Roberts**Publisher:**Bloomsbury Publishing USA**ISBN:**9780802718327**Category:**Biography & Autobiography**Page:**416**View:**1332

"There is perhaps no better way to prepare for the scientific breakthroughs of tomorrow than to learn the language of geometry." -Brian Greene, author of The Elegant Universe The word "geometry" brings to mind an array of mathematical images: circles, triangles, the Pythagorean Theorem. Yet geometry is so much more than shapes and numbers; indeed, it governs much of our lives-from architecture and microchips to car design, animated movies, the molecules of food, even our own body chemistry. And as Siobhan Roberts elegantly conveys in The King of Infinite Space, there can be no better guide to the majesty of geometry than Donald Coxeter, perhaps the greatest geometer of the twentieth century. Many of the greatest names in intellectual history-Pythagoras, Plato, Archimedes, Euclid- were geometers, and their creativity and achievements illuminate those of Coxeter, revealing geometry to be a living, ever-evolving endeavor, an intellectual adventure that has always been a building block of civilization. Coxeter's special contributions-his famed Coxeter groups and Coxeter diagrams-have been called by other mathematicians "tools as essential as numbers themselves," but his greatest achievement was to almost single-handedly preserve the tradition of classical geometry when it was under attack in a mathematical era that valued all things austere and rational. Coxeter also inspired many outside the field of mathematics. Artist M. C. Escher credited Coxeter with triggering his legendary Circle Limit patterns, while futurist/inventor Buckminster Fuller acknowledged that his famed geodesic dome owed much to Coxeter's vision. The King of Infinite Space is an elegant portal into the fascinating, arcane world of geometry.

## Masters of the Structural Aesthetic

**Author**: Derek Thomas**Publisher:**Springer**ISBN:**9811054452**Category:**Technology & Engineering**Page:**132**View:**4480

This book highlights aesthetics as pertaining to the structural component in architectural design. This less explored aspect of architecture is discussed and explains the enduring qualities of ten specific buildings from architectural history to present day due to their structural aesthetics. Based on comprehensive research, a critical analysis is presented of the constraints and other influences on architectural and structural design, such as culture, patronage, geometry, available resources and technologies.

## The Best Writing on Mathematics 2013

**Author**: Mircea Pitici**Publisher:**Princeton University Press**ISBN:**1400847990**Category:**Mathematics**Page:**272**View:**5730

This annual anthology brings together the year's finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2013 makes available to a wide audience many articles not easily found anywhere else--and you don't need to be a mathematician to enjoy them. These writings offer surprising insights into the nature, meaning, and practice of mathematics today. They delve into the history, philosophy, teaching, and everyday occurrences of math, and take readers behind the scenes of today's hottest mathematical debates. Here Philip Davis offers a panoramic view of mathematics in contemporary society; Terence Tao discusses aspects of universal mathematical laws in complex systems; Ian Stewart explains how in mathematics everything arises out of nothing; Erin Maloney and Sian Beilock consider the mathematical anxiety experienced by many students and suggest effective remedies; Elie Ayache argues that exchange prices reached in open market transactions transcend the common notion of probability; and much, much more. In addition to presenting the year's most memorable writings on mathematics, this must-have anthology includes a foreword by esteemed mathematical physicist Roger Penrose and an introduction by the editor, Mircea Pitici. This book belongs on the shelf of anyone interested in where math has taken us--and where it is headed.

## Group Theory in a Nutshell for Physicists

**Author**: A. Zee**Publisher:**Princeton University Press**ISBN:**1400881188**Category:**Science**Page:**632**View:**2750

Although group theory is a mathematical subject, it is indispensable to many areas of modern theoretical physics, from atomic physics to condensed matter physics, particle physics to string theory. In particular, it is essential for an understanding of the fundamental forces. Yet until now, what has been missing is a modern, accessible, and self-contained textbook on the subject written especially for physicists. Group Theory in a Nutshell for Physicists fills this gap, providing a user-friendly and classroom-tested text that focuses on those aspects of group theory physicists most need to know. From the basic intuitive notion of a group, A. Zee takes readers all the way up to how theories based on gauge groups could unify three of the four fundamental forces. He also includes a concise review of the linear algebra needed for group theory, making the book ideal for self-study. Provides physicists with a modern and accessible introduction to group theory Covers applications to various areas of physics, including field theory, particle physics, relativity, and much more Topics include finite group and character tables; real, pseudoreal, and complex representations; Weyl, Dirac, and Majorana equations; the expanding universe and group theory; grand unification; and much more The essential textbook for students and an invaluable resource for researchers Features a brief, self-contained treatment of linear algebra An online illustration package is available to professors Solutions manual (available only to professors)

## Euler's Gem

*The Polyhedron Formula and the Birth of Topology*

**Author**: David S. Richeson**Publisher:**Princeton University Press**ISBN:**0691154570**Category:**Mathematics**Page:**317**View:**4312

Leonhard Euler's polyhedron formula describes the structure of many objects--from soccer balls and gemstones to Buckminster Fuller's buildings and giant all-carbon molecules. Yet Euler's formula is so simple it can be explained to a child. Euler's Gem tells the illuminating story of this indispensable mathematical idea. From ancient Greek geometry to today's cutting-edge research, Euler's Gem celebrates the discovery of Euler's beloved polyhedron formula and its far-reaching impact on topology, the study of shapes. In 1750, Euler observed that any polyhedron composed of V vertices, E edges, and F faces satisfies the equation V-E+F=2. David Richeson tells how the Greeks missed the formula entirely; how Descartes almost discovered it but fell short; how nineteenth-century mathematicians widened the formula's scope in ways that Euler never envisioned by adapting it for use with doughnut shapes, smooth surfaces, and higher dimensional shapes; and how twentieth-century mathematicians discovered that every shape has its own Euler's formula. Using wonderful examples and numerous illustrations, Richeson presents the formula's many elegant and unexpected applications, such as showing why there is always some windless spot on earth, how to measure the acreage of a tree farm by counting trees, and how many crayons are needed to color any map. Filled with a who's who of brilliant mathematicians who questioned, refined, and contributed to a remarkable theorem's development, Euler's Gem will fascinate every mathematics enthusiast.

## The Seven Lamps of Architecture

**Author**: John Ruskin**Publisher:**N.A**ISBN:**N.A**Category:**Architecture**Page:**186**View:**504

## Learning Basic Calculus

*From Archimedes to Newton to Its Role in Science*

**Author**: Alexander Hahn**Publisher:**Springer Science & Business Media**ISBN:**9780387946061**Category:**Mathematics**Page:**545**View:**1674

This introductory calculus text was developed by the author through his teaching of an honors calculus course at Notre Dame. The book develops calculus, as well as the necessary trigonometry and analytic geometry, from witin the relevant historical context, and yet it is not a textbook in the history of mathematics as such. The notation is modern, and the material is selected to cover the basics of the subject. Special emphasis is placed on pedagogy throughout. Whhile emphasizing the broad applications of the subject, emphasis is placed on the mathematical content of the subject.

## Mathematical Excursion, Enhanced Edition

**Author**: Richard Aufmann,Joanne Lockwood,Richard Nation,Daniel K. Clegg**Publisher:**Cengage Learning**ISBN:**053873499X**Category:**Mathematics**Page:**1104**View:**7487

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. This Enhanced Edition includes instant access to WebAssign, the most widely-used and reliable homework system. WebAssign presents over 500 problems, as well as links to relevant textbook sections, that help students grasp the concepts needed to succeed in this course. As an added bonus, the Start Smart Guide has been bound into this text. This guide contains instructions to help students learn the basics of WebAssign quickly. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

## In Code

*A Mathematical Journey*

**Author**: Sarah Flannery**Publisher:**Algonquin Books**ISBN:**9781565123779**Category:**Biography & Autobiography**Page:**341**View:**2743

Originally published in England and cowritten with her father, "In Code" is "a wonderfully moving story about the thrill of the mathematical chase" ("Nature") and "a paean to intellectual adventure" ("Times Educational Supplement"). A memoir in mathematics, it is all about how a girl next door became an award-winning mathematician. photo insert.

## Lines Drawn Upon the Water

*First Nations and the Great Lakes Borders and Borderlands*

**Author**: Karl S. Hele**Publisher:**Wilfrid Laurier Univ. Press**ISBN:**1554580048**Category:**History**Page:**351**View:**753

Proceedings of a conference held at University of Western Ontario, London, Ont., Feb. 11-12, 2005.

## Lost in Math

*How Beauty Leads Physics Astray*

**Author**: Sabine Hossenfelder**Publisher:**Basic Books**ISBN:**0465094260**Category:**Science**Page:**304**View:**4470

A contrarian argues that modern physicists' obsession with beauty has given us wonderful math but bad science Whether pondering black holes or predicting discoveries at CERN, physicists believe the best theories are beautiful, natural, and elegant, and this standard separates popular theories from disposable ones. This is why, Sabine Hossenfelder argues, we have not seen a major breakthrough in the foundations of physics for more than four decades. The belief in beauty has become so dogmatic that it now conflicts with scientific objectivity: observation has been unable to confirm mindboggling theories, like supersymmetry or grand unification, invented by physicists based on aesthetic criteria. Worse, these "too good to not be true" theories are actually untestable and they have left the field in a cul-de-sac. To escape, physicists must rethink their methods. Only by embracing reality as it is can science discover the truth.

## The Unimaginable Mathematics of Borges' Library of Babel

**Author**: William Goldbloom Bloch**Publisher:**Oxford University Press**ISBN:**9780199715169**Category:**Mathematics**Page:**224**View:**341

"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.

## The Mystery of the Aleph

*Mathematics, the Kabbalah, and the Search for Infinity*

**Author**: Amir D. Aczel**Publisher:**Simon and Schuster**ISBN:**0743422996**Category:**Biography & Autobiography**Page:**272**View:**6193

Journeys into the work of Georg Cantor, a Russian-born German mathematician, who developed set theory and the concept of infinite numbers, but was condemned by his peers and spent many years in an asylum.

## The Lost Symbol

*A Novel*

**Author**: Dan Brown**Publisher:**Anchor**ISBN:**1400079144**Category:**Fiction**Page:**639**View:**4835

The discovery of a mysterious object in the U.S. Capitol building and a subsequent kidnapping lead Harvard symbologist Robert Langdon into a web of mysterious codes, secret locations, and hidden knowledge.