Mathematical Bridges

Mathematical Bridges
Author: Titu Andreescu
Publisher: Birkhäuser
Total Pages: 308
Release: 2017-02-17
Genre: Mathematics
ISBN: 0817646299

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.

Bridges to Infinity

Bridges to Infinity
Author: Michael Guillen
Publisher: Tarcher
Total Pages: 222
Release: 1983
Genre: Body, Mind & Spirit
ISBN: 9780874773453

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

Building Bridges

Building Bridges
Author: Martin Grötschel
Publisher: Springer Science & Business Media
Total Pages: 536
Release: 2010-05-28
Genre: Mathematics
ISBN: 3540852212

Discrete mathematics and theoretical computer science are closely linked research areas with strong impacts on applications and various other scientific disciplines. Both fields deeply cross fertilize each other. One of the persons who particularly contributed to building bridges between these and many other areas is László Lovász, a scholar whose outstanding scientific work has defined and shaped many research directions in the last 40 years. A number of friends and colleagues, all top authorities in their fields of expertise and all invited plenary speakers at one of two conferences in August 2008 in Hungary, both celebrating Lovász’s 60th birthday, have contributed their latest research papers to this volume. This collection of articles offers an excellent view on the state of combinatorics and related topics and will be of interest for experienced specialists as well as young researchers.

Mathematical Bridge, A: An Intuitive Journey In Higher Mathematics (2nd Edition)

Mathematical Bridge, A: An Intuitive Journey In Higher Mathematics (2nd Edition)
Author: Stephen Fletcher Hewson
Publisher: World Scientific Publishing Company
Total Pages: 672
Release: 2009-01-20
Genre: Mathematics
ISBN: 9813101245

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.

Mathematical Models for Suspension Bridges

Mathematical Models for Suspension Bridges
Author: Filippo Gazzola
Publisher: Springer
Total Pages: 274
Release: 2015-05-29
Genre: Mathematics
ISBN: 3319154346

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.

Building Bridges II

Building Bridges II
Author: Imre Bárány
Publisher: Springer Nature
Total Pages: 616
Release: 2020-02-04
Genre: Mathematics
ISBN: 3662592045

This volume collects together research and survey papers written by invited speakers of the conference celebrating the 70th birthday of László Lovász. The topics covered include classical subjects such as extremal graph theory, coding theory, design theory, applications of linear algebra and combinatorial optimization, as well as recent trends such as extensions of graph limits, online or statistical versions of classical combinatorial problems, and new methods of derandomization. László Lovász is one of the pioneers in the interplay between discrete and continuous mathematics, and is a master at establishing unexpected connections, “building bridges” between seemingly distant fields. His invariably elegant and powerful ideas have produced new subfields in many areas, and his outstanding scientific work has defined and shaped many research directions in the last 50 years. The 14 contributions presented in this volume, all of which are connected to László Lovász's areas of research, offer an excellent overview of the state of the art of combinatorics and related topics and will be of interest to experienced specialists as well as young researchers.

The Mathematical Theory of Bridge: 134 Probability Tables, Their Uses, Simple Formulas, Applications and about 4000 Probabilities

The Mathematical Theory of Bridge: 134 Probability Tables, Their Uses, Simple Formulas, Applications and about 4000 Probabilities
Author: Emile Borel
Publisher: Master Point Press
Total Pages: 536
Release: 2017-11-20
Genre: Games & Activities
ISBN: 9781771401814

134 Probability tables, their uses, simple formulas, applications & 4000 probabilities Originally published in 1940, and revised in 1954, this classic work on mathematics and probability as applied to Bridge first appeared in English translation in 1974, but has been unavailable for many years. This new edition corrects numerical errors found in earlier texts; it revises the previous English translation where needed and corrects a number of textual and typographical errors in the 1974 edition. Tables have been included again in the text, as they were in the original edition. The chapter on Contract and Plafond scoring has been retained as continuing to serve its intended purpose. The chapters on shuffling, although no longer applicable to Duplicate Bridge, are included for the benefit of those interested in the mathematics of all card games. All, it is hoped, without too many new errors being introduced.

Computability

Computability
Author: Douglas S. Bridges
Publisher: Springer Science & Business Media
Total Pages: 186
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461208637

Aimed at mathematicians and computer scientists who will only be exposed to one course in this area, Computability: A Mathematical Sketchbook provides a brief but rigorous introduction to the abstract theory of computation, sometimes also referred to as recursion theory. It develops major themes in computability theory, such as Rice's theorem and the recursion theorem, and provides a systematic account of Blum's complexity theory as well as an introduction to the theory of computable real numbers and functions. The book is intended as a university text, but it may also be used for self-study; appropriate exercises and solutions are included.