Excursions In Calculus

Author : Robert M. Young
Publisher : Cambridge University Press
ISBN 13 : 9780883853177
Total Pages : 436 pages
Book Rating : 4.75/5 ( download)

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Download or read book Excursions in Calculus written by Robert M. Young and published by Cambridge University Press. This book was released on 1992 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the interplay between the two main currents of mathematics, the continuous and the discrete.

Author : Charles Stanley Ogilvy
Publisher : Courier Corporation
ISBN 13 : 9780486257785
Total Pages : 196 pages
Book Rating : 4.89/5 ( download)

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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.

Author : C. Stanley Ogilvy
Publisher : Courier Corporation
ISBN 13 : 9780486282831
Total Pages : 196 pages
Book Rating : 4.3X/5 ( download)

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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.

Author : Alexander J. Hahn
Publisher : Princeton University Press
ISBN 13 : 1400841992
Total Pages : 336 pages
Book Rating : 4.98/5 ( download)

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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.

Author : Hongwei Chen
Publisher : American Mathematical Soc.
ISBN 13 : 0883859351
Total Pages : 301 pages
Book Rating : 4.53/5 ( download)

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Download or read book Excursions in Classical Analysis written by Hongwei Chen and published by American Mathematical Soc.. This book was released on 2010-12-31 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excursions in Classical Analysis will introduce students to advanced problem solving and undergraduate research in two ways: it will provide a tour of classical analysis, showcasing a wide variety of problems that are placed in historical context, and it will help students gain mastery of mathematical discovery and proof. The [Author]; presents a variety of solutions for the problems in the book. Some solutions reach back to the work of mathematicians like Leonhard Euler while others connect to other beautiful parts of mathematics. Readers will frequently see problems solved by using an idea that, at first glance, might not even seem to apply to that problem. Other solutions employ a specific technique that can be used to solve many different kinds of problems. Excursions emphasizes the rich and elegant interplay between continuous and discrete mathematics by applying induction, recursion, and combinatorics to traditional problems in classical analysis. The book will be useful in students' preparations for mathematics competitions, in undergraduate reading courses and seminars, and in analysis courses as a supplement. The book is also ideal for self study, since the chapters are independent of one another and may be read in any order.

Author : Antonio Caminha Muniz Neto
Publisher : Springer
ISBN 13 : 9783319538709
Total Pages : 652 pages
Book Rating : 4.05/5 ( download)

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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.

Author : Dan Kalman
Publisher : American Mathematical Soc.
ISBN 13 : 1470458446
Total Pages : 265 pages
Book Rating : 4.47/5 ( download)

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Download or read book Uncommon Mathematical Excursions written by Dan Kalman and published by American Mathematical Soc.. This book was released on 2020-07-29 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Steven Strogatz
Publisher : Princeton University Press
ISBN 13 : 9781400830886
Total Pages : 184 pages
Book Rating : 4.85/5 ( download)

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Download or read book The Calculus of Friendship written by Steven Strogatz and published by Princeton University Press. This book was released on 2011-03-07 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Calculus of Friendship is the story of an extraordinary connection between a teacher and a student, as chronicled through more than thirty years of letters between them. What makes their relationship unique is that it is based almost entirely on a shared love of calculus. For them, calculus is more than a branch of mathematics; it is a game they love playing together, a constant when all else is in flux. The teacher goes from the prime of his career to retirement, competes in whitewater kayaking at the international level, and loses a son. The student matures from high school math whiz to Ivy League professor, suffers the sudden death of a parent, and blunders into a marriage destined to fail. Yet through it all they take refuge in the haven of calculus--until a day comes when calculus is no longer enough. Like calculus itself, The Calculus of Friendship is an exploration of change. It's about the transformation that takes place in a student's heart, as he and his teacher reverse roles, as they age, as they are buffeted by life itself. Written by a renowned teacher and communicator of mathematics, The Calculus of Friendship is warm, intimate, and deeply moving. The most inspiring ideas of calculus, differential equations, and chaos theory are explained through metaphors, images, and anecdotes in a way that all readers will find beautiful, and even poignant. Math enthusiasts, from high school students to professionals, will delight in the offbeat problems and lucid explanations in the letters. For anyone whose life has been changed by a mentor, The Calculus of Friendship will be an unforgettable journey.

Author : Rozsa Peter
Publisher :
ISBN 13 : 9780844652351
Total Pages : pages
Book Rating : 4.50/5 ( download)

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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.

Author : Peter Borwein
Publisher : Springer Science & Business Media
ISBN 13 : 0387216529
Total Pages : 220 pages
Book Rating : 4.22/5 ( download)

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Download or read book Computational Excursions in Analysis and Number Theory written by Peter Borwein and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to computational number theory is centered on a number of problems that live at the interface of analytic, computational and Diophantine number theory, and provides a diverse collection of techniques for solving number- theoretic problems. There are many exercises and open research problems included.