A Mathematical Bridge

Author : Stephen Hewson
Publisher : World Scientific Publishing Company
ISBN 13 : 9813101245
Total Pages : 672 pages
Book Rating : 4.41/5 ( download)

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Download or read book A Mathematical Bridge written by Stephen Hewson and published by World Scientific Publishing Company. This book was released on 2009-01-20 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Publisher : Birkhäuser
ISBN 13 : 0817646299
Total Pages : 309 pages
Book Rating : 4.95/5 ( download)

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Download or read book Mathematical Bridges written by Titu Andreescu and published by Birkhäuser. This book was released on 2017-02-17 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
ISBN 13 : 9812834079
Total Pages : 672 pages
Book Rating : 4.72/5 ( download)

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Download or read book A Mathematical Bridge written by Stephen Fletcher Hewson and published by World Scientific. This book was released on 2009 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
ISBN 13 : 0749022620
Total Pages : 329 pages
Book Rating : 4.24/5 ( download)

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Download or read book The Mathematical Bridge written by Jim Kelly and published by Allison & Busby Ltd. This book was released on 2019-02-21 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Ralph W. Oberste-Vorth
Publisher : American Mathematical Soc.
ISBN 13 : 0883857790
Total Pages : 232 pages
Book Rating : 4.93/5 ( download)

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Download or read book Bridge to Abstract Mathematics written by Ralph W. Oberste-Vorth and published by American Mathematical Soc.. This book was released on 2012 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Filippo Gazzola
Publisher : Springer
ISBN 13 : 3319154346
Total Pages : 274 pages
Book Rating : 4.43/5 ( download)

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Download or read book Mathematical Models for Suspension Bridges written by Filippo Gazzola and published by Springer. This book was released on 2015-05-29 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 :
ISBN 13 : 9789812795069
Total Pages : 549 pages
Book Rating : 4.65/5 ( download)

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Download or read book A Mathematical Bridge written by Stephen Fletcher Hewson and published by . This book was released on 2003 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Émile Borel
Publisher :
ISBN 13 :
Total Pages : 434 pages
Book Rating : 4.19/5 ( download)

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Download or read book The Mathematical Theory of Bridge written by Émile Borel and published by . This book was released on 1954 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Mount Holyoke College
Publisher : Springer Science & Business Media
ISBN 13 : 9780387949222
Total Pages : 308 pages
Book Rating : 4.24/5 ( download)

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Download or read book Laboratories in Mathematical Experimentation written by Mount Holyoke College and published by Springer Science & Business Media. This book was released on 1997-03 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : COMAP
Publisher : Macmillan
ISBN 13 : 9780716707806
Total Pages : 632 pages
Book Rating : 4.02/5 ( download)

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Download or read book Modeling With Mathematics written by COMAP and published by Macmillan. This book was released on 2006-02-28 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Designed for juniors and seniors in high school who have not succeeded using traditional approaches to teaching mathematics, but want to prepare for Algebra II or a College Algebra course" -- Publisher.