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Proofs and Ideas: A Prelude to Advanced Mathematics, B. Sethuraman


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Цена: 71060.00T
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Автор: B. Sethuraman
Название:  Proofs and Ideas: A Prelude to Advanced Mathematics
ISBN: 9781470465148
Издательство: Mare Nostrum (Eurospan)
Классификация:
ISBN-10: 1470465140
Обложка/Формат: Paperback
Страницы: 339
Вес: 0.61 кг.
Дата издания: 30.01.2022
Серия: Ams/maa textbooks
Язык: English
Размер: 180 x 260 x 22
Ключевые слова: Combinatorics & graph theory,Discrete mathematics,Mathematical foundations,Mathematical logic
Подзаголовок: A prelude to advanced mathematics
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Поставляется из: Англии
Описание: Proofs and Ideas serves as a gentle introduction to advanced mathematics for students who previously have not had extensive exposure to proofs. It is intended to ease the students transition from algorithmic mathematics to the world of mathematics that is built around proofs and concepts.The spirit of the book is that the basic tools of abstract mathematics are best developed in context and that creativity and imagination are at the core of mathematics. So, while the book has chapters on statements and sets and functions and induction, the bulk of the book focuses on core mathematical ideas and on developing intuition. Along with chapters on elementary combinatorics and beginning number theory, this book contains introductory chapters on real analysis, group theory, and graph theory that serve as gentle first exposures to their respective areas. The book contains hundreds of exercises, both routine and non-routine.This book has been used for a transition to advanced mathematics courses at California State University, Northridge, as well as for a general education course on mathematical reasoning at Krea University, India.
Дополнительное описание: Discrete mathematics|Combinatorics and graph theory|Mathematical logic|Mathematical foundations


Proofs and Refutations

Автор: Lakatos
Название: Proofs and Refutations
ISBN: 1107534054 ISBN-13(EAN): 9781107534056
Издательство: Cambridge Academ
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Цена: 22170.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Imre Lakatos`s influential and enduring work on the nature of mathematic discovery and development continues to be relevant to philosophers of mathematics. Including a specially commissioned preface written by Paolo Mancosu, and presented in a fresh twenty-first-century series livery, it is now available for a new generation of readers.

Proofs 101

Автор: Kirtland, Joseph
Название: Proofs 101
ISBN: 0367536811 ISBN-13(EAN): 9780367536817
Издательство: Taylor&Francis
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Цена: 54090.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book serves as an introduction to proofs for mathematics majors who have completed the calculus sequence (at least Calculus I and II) and Linear Algebra. It prepares students for the proofs they will need to analyse and write, the axiomatic nature of mathematics, and the rigors of upper-level mathematics courses.

Science of Learning Mathematical Proofs, The: An Introductory Course

Автор: Reiser Elana
Название: Science of Learning Mathematical Proofs, The: An Introductory Course
ISBN: 9811225516 ISBN-13(EAN): 9789811225512
Издательство: World Scientific Publishing
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Цена: 36960.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: College students struggle with the switch from thinking of mathematics as a calculation based subject to a problem solving based subject. This book describes how the introduction to proofs course can be taught in a way that gently introduces students to this new way of thinking. This introduction utilizes recent research in neuroscience regarding how the brain learns best. Rather than jumping right into proofs, students are first taught how to change their mindset about learning, how to persevere through difficult problems, how to work successfully in a group, and how to reflect on their learning. With these tools in place, students then learn logic and problem solving as a further foundation.Next various proof techniques such as direct proofs, proof by contraposition, proof by contradiction, and mathematical induction are introduced. These proof techniques are introduced using the context of number theory. The last chapter uses Calculus as a way for students to apply the proof techniques they have learned.

A Handbook of Proofs and Theorems

Автор: Maria Catherine C. Borres
Название: A Handbook of Proofs and Theorems
ISBN: 1680945882 ISBN-13(EAN): 9781680945881
Издательство: Mare Nostrum (Eurospan)
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Цена: 141370.00 T
Наличие на складе: Невозможна поставка.
Описание: A theorem is a statement that can be demonstrated to be true by accepted mathematical operations and arguments. In general, a theorem is an embodiment of some general principle that makes it part of a larger theory. The process of showing a theorem to be correct is called a proof. This handbook offers an introduction to proofs and theorems.

Reverse Mathematics: Proofs from the Inside Out

Автор: Stillwell John
Название: Reverse Mathematics: Proofs from the Inside Out
ISBN: 0691196419 ISBN-13(EAN): 9780691196411
Издательство: Wiley
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Цена: 19000.00 T
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Описание:

The first book surveying the history and ideas behind reverse mathematics

Reverse mathematics is a new field that seeks to find the axioms needed to prove given theorems. In Reverse Mathematics, John Stillwell offers a historical and representative view, emphasizing basic analysis and giving a novel approach to logic. By using a minimum of mathematical logic in a well-motivated way, Reverse Mathematics will engage advanced undergraduates and all mathematicians interested in the foundations of mathematics.


Discrete Mathematics

Автор: Garnier, Rowan
Название: Discrete Mathematics
ISBN: 1439812802 ISBN-13(EAN): 9781439812808
Издательство: Taylor&Francis
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Цена: 102080.00 T
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How to Read and Do Proofs - An Introduction to Mathematical Thought Processes, Sixth Edition

Автор: Solow
Название: How to Read and Do Proofs - An Introduction to Mathematical Thought Processes, Sixth Edition
ISBN: 1118164024 ISBN-13(EAN): 9781118164020
Издательство: Wiley
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Цена: 80200.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This text makes a great supplement and provides a systematic approach for teaching undergraduate and graduate students how to read, understand, think about, and do proofs.

Modern Cryptography, Probabilistic Proofs and Pseudorandomness

Автор: Oded Goldreich
Название: Modern Cryptography, Probabilistic Proofs and Pseudorandomness
ISBN: 364208432X ISBN-13(EAN): 9783642084324
Издательство: Springer
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Цена: 121110.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Cryptography is one of the most active areas in current mathematics research and applications. This book focuses on cryptography along with two related areas: the study of probabilistic proof systems, and the theory of computational pseudorandomness.

Proofs of the Cantor-Bernstein Theorem

Автор: Arie Hinkis
Название: Proofs of the Cantor-Bernstein Theorem
ISBN: 3034807880 ISBN-13(EAN): 9783034807883
Издательство: Springer
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Цена: 88470.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This `excursion` through the evolution of research mathematics takes in some 40 papers, published up to the 1970s, on proofs of the Cantor-Bernstein theorem. It provides a detailed example of proof-processing in the derivation of Bernstein`s division theorem.

Reverse Mathematics

Автор: Dzhafarov
Название: Reverse Mathematics
ISBN: 3031113667 ISBN-13(EAN): 9783031113666
Издательство: Springer
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Цена: 60550.00 T
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Описание: Reverse mathematics studies the complexity of proving mathematical theorems and solving mathematical problems.

Sets, Models and Proofs

Автор: Moerdijk
Название: Sets, Models and Proofs
ISBN: 3319924133 ISBN-13(EAN): 9783319924137
Издательство: Springer
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Цена: 30740.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This textbook provides a concise and self-contained introduction to mathematical logic, with a focus on the fundamental topics in first-order logic and model theory.

Proofs 101: An Introduction to Formal Mathematics

Автор: Kirtland Joseph
Название: Proofs 101: An Introduction to Formal Mathematics
ISBN: 0367536935 ISBN-13(EAN): 9780367536930
Издательство: Taylor&Francis
Рейтинг:
Цена: 148010.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book serves as an introduction to proofs for mathematics majors who have completed the calculus sequence (at least Calculus I and II) and Linear Algebra. It prepares students for the proofs they will need to analyse and write, the axiomatic nature of mathematics, and the rigors of upper-level mathematics courses.


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