A Mathematical Bridge

Author : Stephen Hewson
Publisher : World Scientific Publishing Company
Page : 672 pages
File Size : 47,5 Mb
Release : 2009-01-20
Category : Mathematics
ISBN : 9789813101241

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A Mathematical Bridge by Stephen Hewson Pdf

Although higher mathematics is beautiful, natural and interconnected, to the uninitiated it can feel like an arbitrary mass of disconnected technical definitions, symbols, theorems and methods. An intellectual gulf needs to be crossed before a true, deep appreciation of mathematics can develop. This book bridges this mathematical gap. It focuses on the process of discovery as much as the content, leading the reader to a clear, intuitive understanding of how and why mathematics exists in the way it does. The narrative does not evolve along traditional subject lines: each topic develops from its simplest, intuitive starting point; complexity develops naturally via questions and extensions. Throughout, the book includes levels of explanation, discussion and passion rarely seen in traditional textbooks. The choice of material is similarly rich, ranging from number theory and the nature of mathematical thought to quantum mechanics and the history of mathematics. It rounds off with a selection of thought-provoking and stimulating exercises for the reader.

Author : Titu Andreescu,Cristinel Mortici,Marian Tetiva
Publisher : Birkhäuser
Page : 309 pages
File Size : 55,9 Mb
Release : 2017-02-17
Category : Mathematics
ISBN : 9780817646295

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Mathematical Bridges by Titu Andreescu,Cristinel Mortici,Marian Tetiva Pdf

Building bridges between classical results and contemporary nonstandard problems, this highly relevant work embraces important topics in analysis and algebra from a problem-solving perspective. The book is structured to assist the reader in formulating and proving conjectures, as well as devising solutions to important mathematical problems by making connections between various concepts and ideas from different areas of mathematics. Instructors and motivated mathematics students from high school juniors to college seniors will find the work a useful resource in calculus, linear and abstract algebra, analysis and differential equations. Students with an interest in mathematics competitions must have this book in their personal libraries.

Author : Stephen Fletcher Hewson
Publisher : World Scientific
Page : 672 pages
File Size : 41,7 Mb
Release : 2009
Category : Education
ISBN : 9789812834072

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A Mathematical Bridge by Stephen Fletcher Hewson Pdf

Although higher mathematics is beautiful, natural and interconnected, to the uninitiated it can feel like an arbitrary mass of disconnected technical definitions, symbols, theorems and methods. An intellectual gulf needs to be crossed before a true, deep appreciation of mathematics can develop. This book bridges this mathematical gap. It focuses on the process of discovery as much as the content, leading the reader to a clear, intuitive understanding of how and why mathematics exists in the way it does.The narrative does not evolve along traditional subject lines: each topic develops from its simplest, intuitive starting point; complexity develops naturally via questions and extensions. Throughout, the book includes levels of explanation, discussion and passion rarely seen in traditional textbooks. The choice of material is similarly rich, ranging from number theory and the nature of mathematical thought to quantum mechanics and the history of mathematics. It rounds off with a selection of thought-provoking and stimulating exercises for the reader.

Author : Jim Kelly
Publisher : Allison & Busby Ltd
Page : 329 pages
File Size : 43,8 Mb
Release : 2019-02-21
Category : Fiction
ISBN : 9780749022624

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The Mathematical Bridge by Jim Kelly Pdf

Cambridge, 1940. It is the first winter of the war, and snow is falling. When an evacuee drowns in the river, his body swept away, Detective Inspector Eden Brooke sets out to investigate what seems to be a deliberate attack. The following night, a local electronics factory is attacked, and an Irish republican slogan is left at the scene. The IRA are campaigning to win freedom for Ulster, but why has Cambridge been chosen as a target? And when Brooke learns that the drowned boy was part of the close-knit local Irish Catholic community, he begins to question whether there may be a connection between the boy's death and the attack at the factory. As more riddles come to light, can Brooke solve the mystery before a second attack claims a famous victim?

Author : Filippo Gazzola
Publisher : Springer
Page : 259 pages
File Size : 50,8 Mb
Release : 2015-05-29
Category : Mathematics
ISBN : 9783319154343

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Mathematical Models for Suspension Bridges by Filippo Gazzola Pdf

This work provides a detailed and up-to-the-minute survey of the various stability problems that can affect suspension bridges. In order to deduce some experimental data and rules on the behavior of suspension bridges, a number of historical events are first described, in the course of which several questions concerning their stability naturally arise. The book then surveys conventional mathematical models for suspension bridges and suggests new nonlinear alternatives, which can potentially supply answers to some stability questions. New explanations are also provided, based on the nonlinear structural behavior of bridges. All the models and responses presented in the book employ the theory of differential equations and dynamical systems in the broader sense, demonstrating that methods from nonlinear analysis can allow us to determine the thresholds of instability.

Author : Stephen Fletcher Hewson
Publisher : Unknown
Page : 549 pages
File Size : 47,5 Mb
Release : 2003
Category : Electronic books
ISBN : 9812795065

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A Mathematical Bridge by Stephen Fletcher Hewson Pdf

Author : Ralph W. Oberste-Vorth,Bonita A. Lawrence
Publisher : American Mathematical Soc.
Page : 232 pages
File Size : 45,7 Mb
Release : 2012
Category : Education
ISBN : 9780883857793

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Bridge to Abstract Mathematics by Ralph W. Oberste-Vorth,Bonita A. Lawrence Pdf

A Bridge to Abstract Mathematics will prepare the mathematical novice to explore the universe of abstract mathematics. Mathematics is a science that concerns theorems that must be proved within the constraints of a logical system of axioms and definitions rather than theories that must be tested, revised, and retested. Readers will learn how to read mathematics beyond popular computational calculus courses. Moreover, readers will learn how to construct their own proofs. The book is intended as the primary text for an introductory course in proving theorems, as well as for self-study or as a reference. Throughout the text, some pieces (usually proofs) are left as exercises. Part V gives hints to help students find good approaches to the exercises. Part I introduces the language of mathematics and the methods of proof. The mathematical content of Parts II through IV were chosen so as not to seriously overlap the standard mathematics major. In Part II, students study sets, functions, equivalence and order relations, and cardinality. Part III concerns algebra. The goal is to prove that the real numbers form the unique, up to isomorphism, ordered field with the least upper bound. In the process, we construct the real numbers starting with the natural numbers. Students will be prepared for an abstract linear algebra or modern algebra course. Part IV studies analysis. Continuity and differentiation are considered in the context of time scales (nonempty, closed subsets of the real numbers). Students will be prepared for advanced calculus and general topology courses. There is a lot of room for instructors to skip and choose topics from among those that are presented.

Author : Émile Borel,André Chéron
Publisher : Unknown
Page : 434 pages
File Size : 52,8 Mb
Release : 1954
Category : Contract bridge
ISBN : OCLC:758941919

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The Mathematical Theory of Bridge by Émile Borel,André Chéron Pdf

Author : Michael Guillen
Publisher : Tarcher
Page : 222 pages
File Size : 50,7 Mb
Release : 1983
Category : Body, Mind & Spirit
ISBN : 0874773458

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Bridges to Infinity by Michael Guillen Pdf

This book is an endlessly fascinating journey through a mathematician's looking glass.

Author : Terry Gannon
Publisher : Cambridge University Press
Page : 493 pages
File Size : 51,7 Mb
Release : 2023-07-31
Category : Science
ISBN : 9781009401586

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Moonshine beyond the Monster by Terry Gannon Pdf

Author : Chung C. Fu,Shuqing Wang
Publisher : CRC Press
Page : 632 pages
File Size : 45,8 Mb
Release : 2014-12-11
Category : Technology & Engineering
ISBN : 9781466579859

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Computational Analysis and Design of Bridge Structures by Chung C. Fu,Shuqing Wang Pdf

Gain Confidence in Modeling Techniques Used for Complicated Bridge StructuresBridge structures vary considerably in form, size, complexity, and importance. The methods for their computational analysis and design range from approximate to refined analyses, and rapidly improving computer technology has made the more refined and complex methods of ana

Author : Alexander J. Hahn
Publisher : Princeton University Press
Page : 336 pages
File Size : 53,9 Mb
Release : 2012-07-22
Category : Mathematics
ISBN : 9781400841998

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Mathematical Excursions to the World's Great Buildings by Alexander J. Hahn Pdf

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 : Sam Vandervelde
Publisher : Lulu.com
Page : 258 pages
File Size : 46,5 Mb
Release : 2010
Category : Mathematics
ISBN : 9780557503377

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Bridge to Higher Mathematics by Sam Vandervelde Pdf

This engaging math textbook is designed to equip students who have completed a standard high school math curriculum with the tools and techniques that they will need to succeed in upper level math courses. Topics covered include logic and set theory, proof techniques, number theory, counting, induction, relations, functions, and cardinality.

Author : Biplab Das Gupta
Publisher : Sankalp Publication
Page : 94 pages
File Size : 45,5 Mb
Release : 2024-07-02
Category : Mathematics
ISBN : 9789390468447

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Bridge Course In Mathematical Physics by Biplab Das Gupta Pdf

When a student begins with the course of Class XI he/she is bound to encounter difficulty at initial level of study due to huge gap in the syllabus of secondary and higher secondary stage. This book will serve as a Bridge course for all students moving from class X to class XI, who will take the course of Physics. This book can act as a Prerequisite for learning Physics in class XI and XII. Since this book has been aimed at the students to cover the essential mathematics Calculus & Vectors in quick time, the number of problems and questions has been restricted. Stress has been given to develop the fine link or connection between mathematics and physics and application of mathematical ideas in understanding Physics. This book will also be useful for those students who are preparing for NEET or similar Biological examinations but do not have mathematics at 10+2, but have Physics in their course of study.

Author : Mount Holyoke College
Publisher : Springer Science & Business Media
Page : 308 pages
File Size : 42,7 Mb
Release : 1997-03
Category : Mathematics
ISBN : 0387949224

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Laboratories in Mathematical Experimentation by Mount Holyoke College Pdf

The text is composed of a set of sixteen laboratory investigations which allow the student to explore rich and diverse ideas and concepts in mathematics. The approach is hands-on, experimental, an approach that is very much in the spirit of modern pedagogy. The course is typically offered in one semester, at the sophomore (second year) level of college. It requires completion of one year of calculus. The course provides a transition to the study of higher, abstract mathematics. The text is written independent of any software. Supplements will be available on the projects' web site.