The Discrete Mathematical Charms of Paul Erd?s, Va?ek Chv?tal

Автор: Daniel J. Velleman
Название: How to Prove It : A Structured Approach
ISBN: 1108439535 ISBN-13(EAN): 9781108439534
Издательство: Cambridge Academ
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Цена: 39070.00 T
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Описание: Proofs play a central role in advanced mathematics and theoretical computer science, and this bestselling text`s third edition will help students transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs, with a new chapter on number theory and over 150 new exercises.

Автор: Chowdhury Sujaul
Название: Monte Carlo Methods: A Hands-On Computational Introduction Utilizing Excel
ISBN: 1636390730 ISBN-13(EAN): 9781636390734
Издательство: Mare Nostrum (Eurospan)
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Цена: 69300.00 T
Наличие на складе: Нет в наличии.
Описание: This book is intended for undergraduate students of Mathematics, Statistics, and Physics who know nothing about Monte Carlo Methods but wish to know how they work. All treatments have been done as much manually as is practicable. The treatments are deliberately manual to let the readers get the real feel of how Monte Carlo Methods work.

Definite integrals of a total of five functions ��(��), namely Sin(��), Cos(��), e��, loge(��), and 1/(1+��2), have been evaluated using constant, linear, Gaussian, and exponential probability density functions ��(��). It is shown that results agree with known exact values better if ��(��) is proportional to ��(��). Deviation from the proportionality results in worse agreement.

This book is on Monte Carlo Methods which are numerical methods for Computational Physics. These are parts of a syllabus for undergraduate students of Mathematics and Physics for the course titled "Computational Physics."

Need for the book: Besides the three referenced books, this is the only book that teaches how basic Monte Carlo methods work. This book is much more explicit and easier to follow than the three referenced books. The two chapters on the Variational Quantum Monte Carlo method are additional contributions of the book.

Pedagogical features: After a thorough acquaintance with background knowledge in Chapter 1, five thoroughly worked out examples on how to carry out Monte Carlo integration is included in Chapter 2. Moreover, the book contains two chapters on the Variational Quantum Monte Carlo method applied to a simple harmonic oscillator and a hydrogen atom.

The book is a good read; it is intended to make readers adept at using the method. The book is intended to aid in hands-on learning of the Monte Carlo methods.

Автор: Cimini Giulio, Mastrandrea Rossana, Squartini Tiziano
Название: Reconstructing Networks
ISBN: 110872681X ISBN-13(EAN): 9781108726818
Издательство: Cambridge University Press
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Цена: 29970.00 T
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Описание: This Element provides an overview of the ideas, methods and techniques to deal with the problem of missing information in complex networks datasets.

Автор: K. R. Chowdhary
Название: Fundamentals Of Discrete Mathematical Structures
ISBN: 8120345061 ISBN-13(EAN): 9788120345065
Издательство: Mare Nostrum (Eurospan)
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Цена: 14790.00 T
Наличие на складе: Невозможна поставка.
Описание: This thoroughly revised and updated text, now in its Second Edition, continues to provide the basic concepts of discrete mathematics and its applications at an appropriate level of rigour.<br><br> The text teaches mathematical logic, discusses how to work with discrete structures, analyses combinatorial approach to problem-solving and develops an ability to create and understand mathematical models and algorithms essentials for writing computer programs. Every concept introduced in the text is first explained from the point of view of mathematics, followed by its relation to Computer Science. In addition, it offers excellent coverage of graph theory, mathematical reasoning, foundational material on set theory, relations and their computer representation, supported by a number of Worked-out Examples and Exercises to reinforce the students’ skill. <br><br> Primarily intended for undergraduate students of Computer Science and Engineering, and Information Technology, this text will be also useful for undergraduate and postgraduate students of Computer Applications.

Автор: Noam Nisan, Yannai A. Gonczarowski
Название: Mathematical Logic through Python
ISBN: 1108949479 ISBN-13(EAN): 9781108949477
Издательство: Cambridge Academ
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Цена: 25350.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Using a unique pedagogical approach, this text introduces mathematical logic by guiding students in implementing the underlying logical concepts and mathematical proofs via Python programming. This approach, tailored to the unique intuitions and strengths of the ever-growing population of programming-savvy students, brings mathematical logic into the comfort zone of these students and provides clarity that can only be achieved by a deep hands-on understanding and the satisfaction of having created working code. While the approach is unique, the text follows the same set of topics typically covered in a one-semester undergraduate course, including propositional logic and first-order predicate logic, culminating in a proof of Godel's completeness theorem. A sneak peek to Godel's incompleteness theorem is also provided. The textbook is accompanied by an extensive collection of programming tasks, code skeletons, and unit tests. Familiarity with proofs and basic proficiency in Python is assumed.

Автор: Jan Vries
Название: Topological Dynamical Systems: An Introduction to the Dynamics of Continuous Mappings
ISBN: 3110340739 ISBN-13(EAN): 9783110340730
Издательство: Walter de Gruyter
Цена: 148700.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: There is no recent elementary introduction to the theory of discrete dynamical systems that stresses the topological background of the topic. This book fills this gap: it deals with this theory as 'applied general topology'. We treat all important concepts needed to understand recent literature. The book is addressed primarily to graduate students. The prerequisites for understanding this book are modest: a certain mathematical maturity and course in General Topology are sufficient.

Автор: Volker Diekert, Manfred Kufleitner, Gerhard Rosenberger, Ulrich Hertrampf
Название: Discrete Algebraic Methods: Arithmetic, Cryptography, Automata and Groups
ISBN: 3110413329 ISBN-13(EAN): 9783110413328
Издательство: Walter de Gruyter
Цена: 43330.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The idea behind this book is to provide the mathematical foundations for assessing modern developments in the Information Age. It deepens and complements the basic concepts, but it also considers instructive and more advanced topics. The treatise starts with a general chapter on algebraic structures; this part provides all the necessary knowledge for the rest of the book. The next chapter gives a concise overview of cryptography. Chapter 3 on number theoretic algorithms is important for developping cryptosystems, Chapter 4 presents the deterministic primality test of Agrawal, Kayal, and Saxena. The account to elliptic curves again focuses on cryptographic applications and algorithms. With combinatorics on words and automata theory, the reader is introduced to two areas of theoretical computer science where semigroups play a fundamental role.The last chapter is devoted to combinatorial group theory and its connections to automata. Contents:Algebraic structuresCryptographyNumber theoretic algorithmsPolynomial time primality testElliptic curvesCombinatorics on wordsAutomataDiscrete infinite groups

Автор: Watrous, John (university Of Waterloo, Ontario)
Название: The theory of quantum information
ISBN: 1107180562 ISBN-13(EAN): 9781107180567
Издательство: Cambridge Academ
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Цена: 77090.00 T
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Описание: Intended for graduate students and researchers, this book presents a formal development of the mathematical theory of quantum information. Largely self-contained, with clear proofs and a wide range of exercises, it will help the reader grasp the fundamental facts and techniques that form the mathematical foundations of the subject.

Автор: Gross, Benedict H.,
Название: Fat chance :
ISBN: 1108728189 ISBN-13(EAN): 9781108728188
Издательство: Cambridge Academ
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Цена: 25350.00 T
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Описание: Designed for the intellectually curious, this book provides a solid foundation in basic probability theory in a charming style, without technical jargon. This text will immerse the reader in a mathematical view of the world, and teach them techniques to solve real-world problems both inside and outside the casino.

Автор: Liao Heng
Название: Mathematics for Future Computing and Communications
ISBN: 1316513580 ISBN-13(EAN): 9781316513583
Издательство: Cambridge Academ
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Цена: 57030.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: New mathematical ideas go hand-in-hand with innovation in computing, communications and AI. Such innovations are described here in a book that provides a panorama of ideas and applications in computer architecture, software verification, quantum computing, compressed sensing, Bayesian inference, machine learning, reinforcement learning and more.

Автор: David Eppstein
Название: Forbidden Configurations in Discrete Geometry
ISBN: 1108423914 ISBN-13(EAN): 9781108423915
Издательство: Cambridge Academ
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Цена: 116160.00 T
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Описание: This engaging book unifies mathematical and computational properties of finite sets of points in the plane using forbidden configurations, which are patterns that cannot appear in sets with a given property, and helps students and researchers explore the implications of this unified view of discrete geometry.

Автор: Merlin Carl
Название: Ordinal Computability: An Introduction to Infinitary Machines
ISBN: 3110495627 ISBN-13(EAN): 9783110495621
Издательство: Walter de Gruyter
Цена: 123910.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Ordinal Computability discusses models of computation obtained by generalizing classical models, such as Turing machines or register machines, to transfinite working time and space. In particular, recognizability, randomness, and applications to other areas of mathematics are covered.