Excursions In The History Of Mathematics

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Excursions in the History of Mathematics

Author : Israel Kleiner
Publisher : Springer Science & Business Media
ISBN 13 : 0817682686
Total Pages : 362 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Excursions in the History of Mathematics by : Israel Kleiner

Download or read book Excursions in the History of Mathematics written by Israel Kleiner and published by Springer Science & Business Media. This book was released on 2012-02-02 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Alexander J. Hahn
Publisher : Princeton University Press
ISBN 13 : 1400841992
Total Pages : 336 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Mathematical Excursions to the World's Great Buildings by : Alexander J. Hahn

Download or read book Mathematical Excursions to the World's Great Buildings written by Alexander J. Hahn and published by Princeton University Press. This book was released on 2012-07-22 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : C. Stanley Ogilvy
Publisher : Courier Corporation
ISBN 13 : 9780486282831
Total Pages : 196 pages
Book Rating : 4.2/5 (828 download)

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Book Synopsis Excursions in Mathematics by : C. Stanley Ogilvy

Download or read book Excursions in Mathematics written by C. Stanley Ogilvy and published by Courier Corporation. This book was released on 1994-01-01 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Charles Stanley Ogilvy
Publisher : Courier Corporation
ISBN 13 : 9780486257785
Total Pages : 196 pages
Book Rating : 4.2/5 (577 download)

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Book Synopsis Excursions in Number Theory by : Charles Stanley Ogilvy

Download or read book Excursions in Number Theory written by Charles Stanley Ogilvy and published by Courier Corporation. This book was released on 1988-01-01 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Charles Stanley Ogilvy
Publisher : Courier Corporation
ISBN 13 : 0486265307
Total Pages : 191 pages
Book Rating : 4.4/5 (862 download)

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Book Synopsis Excursions in Geometry by : Charles Stanley Ogilvy

Download or read book Excursions in Geometry written by Charles Stanley Ogilvy and published by Courier Corporation. This book was released on 1990-01-01 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Peter Tannenbaum
Publisher : Pearson
ISBN 13 : 9780321825735
Total Pages : 0 pages
Book Rating : 4.8/5 (257 download)

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Book Synopsis Excursions in Modern Mathematics by : Peter Tannenbaum

Download or read book Excursions in Modern Mathematics written by Peter Tannenbaum and published by Pearson. This book was released on 2014 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.

Excursions in Calculus

Author : Robert M. Young
Publisher : American Mathematical Soc.
ISBN 13 : 1470457202
Total Pages : 429 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Excursions in Calculus by : Robert M. Young

Download or read book Excursions in Calculus written by Robert M. Young and published by American Mathematical Soc.. This book was released on 1992-10-01 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the rich and elegant interplay between the two main currents of mathematics, the continuous and the discrete. Such fundamental notions in discrete mathematics as induction, recursion, combinatorics, number theory, discrete probability, and the algorithmic point of view as a unifying principle are continually explored as they interact with traditional calculus.

Factorization of Matrix and Operator Functions: The State Space Method

Author : Harm Bart
Publisher : Birkhäuser
ISBN 13 : 9783764382681
Total Pages : 412 pages
Book Rating : 4.3/5 (826 download)

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Book Synopsis Factorization of Matrix and Operator Functions: The State Space Method by : Harm Bart

Download or read book Factorization of Matrix and Operator Functions: The State Space Method written by Harm Bart and published by Birkhäuser. This book was released on 2007-12-20 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Excursions into Mathematics

Author : Anatole Beck
Publisher : CRC Press
ISBN 13 : 1000692094
Total Pages : 526 pages
Book Rating : 4.0/5 (6 download)

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Book Synopsis Excursions into Mathematics by : Anatole Beck

Download or read book Excursions into Mathematics written by Anatole Beck and published by CRC Press. This book was released on 2020-02-24 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since it was first published three decades ago, Excursions Into Mathematics has been one of the most popular mathematical books written for a general audience. Taking the reader for short "excursions" into several specific disciplines of mathematics, it makes mathematical concepts accessible to a wide audience. The Millennium Edition is updated with current research and new solutions to outstanding problems that have been discovered since the last edition was printed, such as the solution to the well-known "four-color problem." Excursions Into Mathematics: The Millennium Edition is an exciting revision of the original, much-loved classic. Everyone with an interest in mathematics should read this book.

An Excursion through Elementary Mathematics, Volume I

Author : Antonio Caminha Muniz Neto
Publisher : Springer
ISBN 13 : 9783319538709
Total Pages : 652 pages
Book Rating : 4.5/5 (387 download)

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Book Synopsis An Excursion through Elementary Mathematics, Volume I by : Antonio Caminha Muniz Neto

Download or read book An Excursion through Elementary Mathematics, Volume I written by Antonio Caminha Muniz Neto and published by Springer. This book was released on 2017-04-10 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive, in-depth overview of elementary mathematics as explored in Mathematical Olympiads around the world. It expands on topics usually encountered in high school and could even be used as preparation for a first-semester undergraduate course. This first volume covers Real Numbers, Functions, Real Analysis, Systems of Equations, Limits and Derivatives, and much more. As part of a collection, the book differs from other publications in this field by not being a mere selection of questions or a set of tips and tricks that applies to specific problems. It starts from the most basic theoretical principles, without being either too general or too axiomatic. Examples and problems are discussed only if they are helpful as applications of the theory. Propositions are proved in detail and subsequently applied to Olympic problems or to other problems at the Olympic level. The book also explores some of the hardest problems presented at National and International Mathematics Olympiads, as well as many essential theorems related to the content. An extensive Appendix offering hints on or full solutions for all difficult problems rounds out the book.

Playing with Infinity

Author : Rozsa Peter
Publisher :
ISBN 13 : 9780844652351
Total Pages : pages
Book Rating : 4.6/5 (523 download)

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Book Synopsis Playing with Infinity by : Rozsa Peter

Download or read book Playing with Infinity written by Rozsa Peter and published by . This book was released on 1986-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Excursions

Author : Richard N. Aufmann
Publisher :
ISBN 13 : 9780618386390
Total Pages : 913 pages
Book Rating : 4.3/5 (863 download)

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Book Synopsis Mathematical Excursions by : Richard N. Aufmann

Download or read book Mathematical Excursions written by Richard N. Aufmann and published by . This book was released on 2003-03-01 with total page 913 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developed for the liberal arts math course by a seasoned author team,Mathematical Excursions,is uniquely designed to help students see math at work in the contemporary world. Using the proven Aufmann Interactive Method, students learn to master problem-solving in meaningful contexts. In addition, multi-partExcursionexercises emphasize collaborative learning. The text's extensive topical coverage offers instructors flexibility in designing a course that meets their students' needs and curriculum requirements. TheExcursionsactivity and correspondingExcursion Exercises,denoted by an icon, conclude each section, providing opportunities for in-class cooperative work, hands-on learning, and development of critical-thinking skills. These activities are also ideal for projects or extra credit assignments. TheExcursionsare designed to reinforce the material that has just been covered in the section in a fun and engaging manner that will enhance a student's journey and discovery of mathematics. The proven 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 method begins with a worked-out example with a solution in numerical and verbal formats to address different learning styles. The matched problem, calledCheck Your Progress,is left for the student to try. Each problem includes a reference to a fully worked out solution in an appendix to which the student can refer for immediate feedback, concept reinforcement, identification of problem areas, and prevention of frustration. Eduspace, powered by Blackboard, for the Aufmann/Lockwood/Nation/CleggMath Excursionscourse features algorithmic exercises and test bank content in question pools.

Mathematics in Historical Context

Author : Jeff Suzuki
Publisher : MAA
ISBN 13 : 9780883855706
Total Pages : 432 pages
Book Rating : 4.8/5 (557 download)

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Book Synopsis Mathematics in Historical Context by : Jeff Suzuki

Download or read book Mathematics in Historical Context written by Jeff Suzuki and published by MAA. This book was released on 2009-08-27 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: An exploration of the interaction between mathematics, mathematicians and society. What would Newton see if he looked out his window?

The State Space Method

Author : Daniel Alpay
Publisher : Springer Science & Business Media
ISBN 13 : 9783764373702
Total Pages : 292 pages
Book Rating : 4.3/5 (737 download)

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Book Synopsis The State Space Method by : Daniel Alpay

Download or read book The State Space Method written by Daniel Alpay and published by Springer Science & Business Media. This book was released on 2006 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: The state space method developed in the last decades allows us to study the theory of linear systems by using tools from the theory of linear operators; conversely, it had a strong influence on operator theory introducing new questions and topics. The present volume contains a collection of essays representing some of the recent advances in the state space method. Methods covered include noncommutative systems theory, new aspects of the theory of discrete systems, discrete analogs of canonical systems, and new applications to the theory of Bezoutiants and convolution equations. The articles in the volume will be of interest to pure and applied mathematicians, electrical engineers and theoretical physicists.

Mathematics for Physics

Author : Michael Stone
Publisher : Cambridge University Press
ISBN 13 : 1139480618
Total Pages : 821 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Mathematics for Physics by : Michael Stone

Download or read book Mathematics for Physics written by Michael Stone and published by Cambridge University Press. This book was released on 2009-07-09 with total page 821 pages. Available in PDF, EPUB and Kindle. Book excerpt: An engagingly-written account of mathematical tools and ideas, this book provides a graduate-level introduction to the mathematics used in research in physics. The first half of the book focuses on the traditional mathematical methods of physics – differential and integral equations, Fourier series and the calculus of variations. The second half contains an introduction to more advanced subjects, including differential geometry, topology and complex variables. The authors' exposition avoids excess rigor whilst explaining subtle but important points often glossed over in more elementary texts. The topics are illustrated at every stage by carefully chosen examples, exercises and problems drawn from realistic physics settings. These make it useful both as a textbook in advanced courses and for self-study. Password-protected solutions to the exercises are available to instructors at www.cambridge.org/9780521854030.

A History of Mathematics

Author : Luke Hodgkin
Publisher : OUP Oxford
ISBN 13 : 0191664367
Total Pages : 296 pages
Book Rating : 4.1/5 (916 download)

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Book Synopsis A History of Mathematics by : Luke Hodgkin

Download or read book A History of Mathematics written by Luke Hodgkin and published by OUP Oxford. This book was released on 2013-02-21 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: A History of Mathematics: From Mesopotamia to Modernity covers the evolution of mathematics through time and across the major Eastern and Western civilizations. It begins in Babylon, then describes the trials and tribulations of the Greek mathematicians. The important, and often neglected, influence of both Chinese and Islamic mathematics is covered in detail, placing the description of early Western mathematics in a global context. The book concludes with modern mathematics, covering recent developments such as the advent of the computer, chaos theory, topology, mathematical physics, and the solution of Fermat's Last Theorem. Containing more than 100 illustrations and figures, this text, aimed at advanced undergraduates and postgraduates, addresses the methods and challenges associated with studying the history of mathematics. The reader is introduced to the leading figures in the history of mathematics (including Archimedes, Ptolemy, Qin Jiushao, al-Kashi, al-Khwarizmi, Galileo, Newton, Leibniz, Helmholtz, Hilbert, Alan Turing, and Andrew Wiles) and their fields. An extensive bibliography with cross-references to key texts will provide invaluable resource to students and exercises (with solutions) will stretch the more advanced reader.

A Mathematical Mystery Tour

Author : A. K. Dewdney
Publisher : New York ; Toronto : Wiley
ISBN 13 :
Total Pages : 232 pages
Book Rating : 4.X/5 (4 download)

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Book Synopsis A Mathematical Mystery Tour by : A. K. Dewdney

Download or read book A Mathematical Mystery Tour written by A. K. Dewdney and published by New York ; Toronto : Wiley. This book was released on 1999-03-12 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: A.K. Dewdney takes readers on a theoretical world tour to answer the question: Did humans make up mathematics, or did mathematics make up everything, including humans? After all, mathematical formulas seem to perfectly govern the cosmos, and the ur-mathematician Pythagoras himself believed that mathematics makes up reality. Dewdney has taken it upon himself to examine this fundamental question, beginning his journey in Miletus, the ancient home of Pythagoras and other deep thinkers. There, he meets the fictional Dr. Petros Pygonopolis, the first of his guides through space and time in search of mathematical meaning in history. His journey continues with stops in the Arabian desert (for insight into ancient Islamic astronomy with Professor al-Flayli), Venice (where Maria Canzoni reveals the mysteries of atomic theory), and England (home of the "engines of thought" in the form of Alan Turing's mind machines, as explained by Sir John Brainard). Dewdney's style is accessible, his knowledge is thorough, and his sense of humor is refreshing, if a bit geeky. A Mathematical Mystery Tour is not a difficult read, although the ideas it attempts to clarify are quite abstract. The fictional tour guides at each port of call are helpful in humanizing the intimidating subject matter.