Автор: A. S. Troelstra Название: Basic Proof Theory ISBN: 0521779111 ISBN-13(EAN): 9780521779111 Издательство: Cambridge Academ Рейтинг: Цена: 49630.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This is an introduction to the basic ideas of structural proof theory. For the new edition, many sections have been rewritten to improve clarity, new sections have been added on cut elimination, and solutions to selected exercises have been included.
Автор: Madden Название: An Introduction to Proof through Real Analysis ISBN: 1119314720 ISBN-13(EAN): 9781119314721 Издательство: Wiley Рейтинг: Цена: 91820.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
An engaging and accessible introduction to mathematical proof incorporating ideas from real analysis
A mathematical proof is an inferential argument for a mathematical statement. Since the time of the ancient Greek mathematicians, the proof has been a cornerstone of the science of mathematics. The goal of this book is to help students learn to follow and understand the function and structure of mathematical proof and to produce proofs of their own.
An Introduction to Proof through Real Analysis is based on course material developed and refined over thirty years by Professor Daniel J. Madden and was designed to function as a complete text for both first proofs and first analysis courses. Written in an engaging and accessible narrative style, this book systematically covers the basic techniques of proof writing, beginning with real numbers and progressing to logic, set theory, topology, and continuity. The book proceeds from natural numbers to rational numbers in a familiar way, and justifies the need for a rigorous definition of real numbers. The mathematical climax of the story it tells is the Intermediate Value Theorem, which justifies the notion that the real numbers are sufficient for solving all geometric problems.
- Concentrates solely on designing proofs by placing instruction on proof writing on top of discussions of specific mathematical subjects
- Departs from traditional guides to proofs by incorporating elements of both real analysis and algebraic representation
- Written in an engaging narrative style to tell the story of proof and its meaning, function, and construction
- Uses a particular mathematical idea as the focus of each type of proof presented
- Developed from material that has been class-tested and fine-tuned over thirty years in university introductory courses
An Introduction to Proof through Real Analysis is the ideal introductory text to proofs for second and third-year undergraduate mathematics students, especially those who have completed a calculus sequence, students learning real analysis for the first time, and those learning proofs for the first time.
Daniel J. Madden, PhD, is an Associate Professor of Mathematics at The University of Arizona, Tucson, Arizona, USA. He has taught a junior level course introducing students to the idea of a rigorous proof based on real analysis almost every semester since 1990. Dr. Madden is the winner of the 2015 Southwest Section of the Mathematical Association of America Distinguished Teacher Award.
Jason A. Aubrey, PhD, is Assistant Professor of Mathematics and Director, Mathematics Center of the University of Arizona.
Автор: Aczel Название: Proof Theory ISBN: 052141413X ISBN-13(EAN): 9780521414135 Издательство: Cambridge Academ Рейтинг: Цена: 98210.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: A collection of expository and research articles derived from the SERC `Logic for IT` Summer School and Conference on Proof Theory.
Автор: Reinhard Kahle; Peter Schroeder-Heister; Robert St Название: Proof Theory in Computer Science ISBN: 354042752X ISBN-13(EAN): 9783540427520 Издательство: Springer Рейтинг: Цена: 65210.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This text constitutes the refereed proceedings of the International Seminar on Proof Theory in Computer Science, PTCS 2001, and includes 13 revised papers. Among the topics addressed are higher type recursion, lambda calculus, complexity theory, transfinite induction, and iterate logic.
Автор: Banerjee Название: Fractals, Patterns In Nonlinear Dyn ISBN: 1498741355 ISBN-13(EAN): 9781498741354 Издательство: Taylor&Francis Рейтинг: Цена: 137810.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book describes the basic idea, history, structure, methodology and analysis of fractals, the relationship between fractals and nonlinear dynamics, the applications of fractal and multifractal analysis in biomedical science, and how fractal signals and images are modelled by Iterated Function system.
Автор: Jorge Buescu; Paulo M.S.T. de Castro; Ana Paula Di Название: Bifurcation, Symmetry and Patterns ISBN: 3034896425 ISBN-13(EAN): 9783034896429 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: It shows the range of dissemination of the work of Martin Golubitsky and Ian Stewart and its influence in modern mathematics at the same time as it contains work of young mathematicians in new directions.
Автор: Jay Bonner; Craig Kaplan Название: Islamic Geometric Patterns ISBN: 1441902163 ISBN-13(EAN): 9781441902160 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Поставка под заказ. Описание: Islamic Geometric Patterns presents an in-depth examination of the polygonal technique, the primary method used in creating Islamic geometric patterns. The text details the methodology behind this dead art form, and presents historical evidence, both of which are vital to the ornamental tradition.
Автор: Pavel Gurevich; Juliette Hell; Bj?rn Sandstede; Ar Название: Patterns of Dynamics ISBN: 3319641727 ISBN-13(EAN): 9783319641720 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
Theoretical advances in dynamical-systems theory and their applications to pattern-forming processes in the sciences and engineering are discussed in this volume that resulted from the conference Patterns in Dynamics held in honor of Bernold Fiedler, in Berlin, July 25-29, 2016.The contributions build and develop mathematical techniques, and use mathematical approaches for prediction and control of complex systems. The underlying mathematical theories help extract structures from experimental observations and, conversely, shed light on the formation, dynamics, and control of spatio-temporal patterns in applications. Theoretical areas covered include geometric analysis, spatial dynamics, spectral theory, traveling-wave theory, and topological data analysis; also discussed are their applications to chemotaxis, self-organization at interfaces, neuroscience, and transport processes.
Автор: Anant P. Godbole; Stavros G. Papastavridis Название: Runs and Patterns in Probability: Selected Papers ISBN: 1461336376 ISBN-13(EAN): 9781461336372 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The Probability Theory of Patterns and Runs has had a long and distinguished history, starting with the work of de Moivre in the 18th century and that of von Mises in the early 1920`s, and continuing with the renewal-theoretic results in Feller`s classic text An Introduction to Probability Theory and its Applications, Volume 1.
Автор: L.A. Peletier; W.C. Troy Название: Spatial Patterns ISBN: 1461266289 ISBN-13(EAN): 9781461266280 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: In the study of these phenomena an important role is played by well-chosen model equations, which are often simpler than the full equations describing the physical or biological system, but still capture its essential features.
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