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Excursions in the History of Mathematics

Excursions in the History of Mathematics PDF Author: Israel Kleiner
Publisher: Springer Science & Business Media
ISBN: 0817682686
Category : Mathematics
Languages : en
Pages : 362

Book Description
This book comprises five parts. The first three contain ten historical essays on important topics: number theory, calculus/analysis, and proof, respectively. Part four deals with several historically oriented courses, and Part five provides biographies of five mathematicians who played major roles in the historical events described in the first four parts of the work. Excursions in the History of Mathematics was written with several goals in mind: to arouse mathematics teachers’ interest in the history of their subject; to encourage mathematics teachers with at least some knowledge of the history of mathematics to offer courses with a strong historical component; and to provide an historical perspective on a number of basic topics taught in mathematics courses.

Excursions in the History of Mathematics

Excursions in the History of Mathematics PDF Author: Israel Kleiner
Publisher: Springer Science & Business Media
ISBN: 0817682686
Category : Mathematics
Languages : en
Pages : 362

Book Description
This book comprises five parts. The first three contain ten historical essays on important topics: number theory, calculus/analysis, and proof, respectively. Part four deals with several historically oriented courses, and Part five provides biographies of five mathematicians who played major roles in the historical events described in the first four parts of the work. Excursions in the History of Mathematics was written with several goals in mind: to arouse mathematics teachers’ interest in the history of their subject; to encourage mathematics teachers with at least some knowledge of the history of mathematics to offer courses with a strong historical component; and to provide an historical perspective on a number of basic topics taught in mathematics courses.

Mathematical Excursions to the World's Great Buildings

Mathematical Excursions to the World's Great Buildings PDF Author: Alexander J. Hahn
Publisher: Princeton University Press
ISBN: 1400841992
Category : Mathematics
Languages : en
Pages : 336

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 Mathematics

Excursions in Mathematics PDF Author: C. Stanley Ogilvy
Publisher: Courier Corporation
ISBN: 9780486282831
Category : Science
Languages : en
Pages : 196

Book Description
This lively and accessible exploration of the nature of mathematics examines the role of the mathematician as well as the four major branches: number theory, algebra, geometry, and analysis.

Excursions in Number Theory

Excursions in Number Theory PDF Author: Charles Stanley Ogilvy
Publisher: Courier Corporation
ISBN: 9780486257785
Category : Mathematics
Languages : en
Pages : 196

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.

History of Mathematics

History of Mathematics PDF Author: Amy Dahan-Dalmédico
Publisher: MAA
ISBN: 0883855623
Category : Mathematics
Languages : en
Pages : 345

Book Description
This is a novel, short, and eminently readable history of mathematics. Many histories provide a chronological history of the entire subject, which can sometimes make it difficult to follow the development of a particular branch over time. Dahan-Delmm_dico and Pfeiffer succeed splendidly in tracing each branch from its beginnings forward. They also give an outstanding account of how the Arabs not only preserved Greek mathematics, but extended it in the 800 year period from 400-1200. The large number of informative illustrations support the text and contribute to what is a great read.

Excursions in Geometry

Excursions in Geometry PDF Author: Charles Stanley Ogilvy
Publisher: Courier Corporation
ISBN: 0486265307
Category : Mathematics
Languages : en
Pages : 191

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.

Excursions in Modern Mathematics

Excursions in Modern Mathematics PDF Author: Peter Tannenbaum
Publisher: Pearson
ISBN: 9780321825735
Category : Mathematics
Languages : en
Pages : 0

Book Description
"Disability and Academic Exclusion interrogates obstacles the disabled have encountered in education, from a historical perspective that begins with the denial of literacy to minorities in the colonial era to the later centuries' subsequent intolerance of writing, orality, and literacy mastered by former slaves, women, and the disabled. The text then questions where we stand today in regards to the university-wide rhetoric on promoting diversity and accommodating disability in the classroom." Amazon.com viewed 6/2/2020.

Mathematics in Historical Context

Mathematics in Historical Context PDF Author: Jeff Suzuki
Publisher: MAA
ISBN: 9780883855706
Category : Mathematics
Languages : en
Pages : 432

Book Description
An exploration of the interaction between mathematics, mathematicians and society. What would Newton see if he looked out his window?

Factorization of Matrix and Operator Functions: The State Space Method

Factorization of Matrix and Operator Functions: The State Space Method PDF Author: Harm Bart
Publisher: Birkhäuser
ISBN: 9783764382681
Category : Mathematics
Languages : en
Pages : 412

Book Description
This book delineates the various types of factorization problems for matrix and operator functions. The problems originate from, or are motivated by, the theory of non-selfadjoint operators, the theory of matrix polynomials, mathematical systems and control theory, the theory of Riccati equations, inversion of convolution operators, and the theory of job scheduling in operations research. The book presents a geometric principle of factorization which has its origins in the state space theory of linear input-output systems and in the theory of characteristic operator functions.

A History of Mathematics

A History of Mathematics PDF Author: Florian Cajori
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 448

Book Description