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Fel'shtyn A: Dynamical Zeta Functions
Nielsen Theory & Reide

Dynamical Zeta Functions Nielsen Theory & Reide

Number Systems: A Path into Rigorous Mathematics aims to introduce number systems to an undergraduate audience in a way that emphasises the importance of rigour, and with a focus on providing detailed but accessible explanations of theorems and their proofs.The book continually seeks to build upon students' intuitive ideas of how numbers and arithmetic work, and to guide them towards the means to embed this natural understanding into a more structured framework of understanding. The author's motivation for writing this book is that most previous texts, which have complete coverage of the subject, have not provided the level of explanation needed for first-year students. On the other hand, those that do give good explanations tend to focus broadly on Foundations or Analysis and provide incomplete coverage of Number Systems.Features<ul> <li>Approachable for first year undergraduates, but still of interest to more advanced students and postgraduates</li> <li>Does not merely present definitions, theorems and proofs, but also motivates them in terms of intuitive knowledge and discusses methods of proof</li> <li>Draws attention to connections with other areas of mathematics</li> <li>Plenty of exercises for students, both straightforward problems and more in-depth investigations</li> <li>Introduces many concepts that are required in more advanced topics in mathematics</li> </ul>New to the second edition<ul> <li>Complete solutions to all exercises, and hints for the in-depth investigations</li> <li>Extensive changes to chapters 4 and 5, including defining integral domains as distinct from commutative rings, a more complete discussion of irreducibles, primes and unique factorisation, and more topics in elementary number theory</li> <li>A completely revised chapter 8, giving a more coherent account of quadratic rings and their unique (or non-unique) factorisation properties</li> <li>A thorough correction of typos and errors across all chapters</li> <li>Updates to the bibliography</li> </ul>

A Path into Rigorous Mathematics

Number Systems

This book is a concise, self-contained treatment of the finite element method and all the computational techniques needed for its efficient use and practical implementation. It describes many practical engineering analysis solution techniques applied in various industries.

This book is a concise, self-contained treatment of the finite element method and all the computational techniques needed for its efficient use and practical implementation. It describes many practical engineering analysis solution techniques applied in various industries.

What Every Engineer Should Know About Computational Techniques of Finite Element Analysis

Elements in the Philosophy of Mathematics

This Element introduces a young field, the 'philosophy of mathematical practice'. We first offer a general characterisation of the approach to the philosophy of mathematics that takes mathematical practice seriously and contrast it with 'mathematical philosophy'. The latter is traced back to Bertrand Russell and the orientation referred to as 'scientific philosophy' that was active between 1850 and 1930. To give a better sense of the field, the Element further contains two examples of topics studied, that of mathematical structuralism and visual thinking in mathematics. These are in part presented from a methodological point of view, focussing on mathematics as an activity and questions related to how mathematics develops. In addition, the Element contains several examples from mathematics, both historical and contemporary , to illustrate and support the philosophical points.

The Element introduces the philosophy of mathematical practice, which takes mathematical practice and contrasts it with mathematical philosophy, a term traced back to Bertrand Russell's scientific philosophy. It discusses mathematical structuralism and visual thinking, focusing on methodological aspects and historical and contemporary examples.

Introducing the Philosophy of Mathematical Practice

Very Short Introductions

Mathematical biology develops models which are applied to processes in biology and medicine. Philip K. Maini describes the art of modelling, what it is, why we do it.

Mathematical biology develops models which are applied to processes in biology and medicine. Philip K. Maini describes the art of modelling, what it is, why we do it.

A Very Short Introduction

Mathematical Biology

Chapman & Hall/CRC Monographs and Research Notes in Mathematics

Non-Newtonian Sequence Spaces with Applications presents an alternative to the usual calculus based on multiplication instead of addition.

Non-Newtonian Sequence Spaces with Applications presents an alternative to the usual calculus based on multiplication instead of addition.

Non-Newtonian Sequence Spaces with Applications

A Practical Introduction

Elementary Real Analysis

Textbooks in Mathematics

This accessible introduction to the topic covers the theory of measure and integral, as introduced by Lebesgue and developed in the first half of the 20th century. It leads naturally to Banach spaces of functions and linear operators acting on them.

This accessible introduction to the topic covers the theory of measure and integral, as introduced by Lebesgue and developed in the first half of the 20th century. It leads naturally to Banach spaces of functions and linear operators acting on them.

Theory and Practice

Measure and Integral

This popular textbook provides a detailed examination of the central assertions of measure theory in n-dimensional Euclidean space. The book emphasizes the roles of Hausdorff measure and capacity in characterizing the fine properties of sets and functions.

This popular textbook provides a detailed examination of the central assertions of measure theory in n-dimensional Euclidean space. The book emphasizes the roles of Hausdorff measure and capacity in characterizing the fine properties of sets and functions.

Measure Theory and Fine Properties of Functions

This comprehensive compendium addresses a critical need in the AI and machine learning era by bridging foundational information theory (IT) concepts with practical applications in statistical learning. Unlike traditional IT textbooks, this volume emphasizes how IT principles, such as entropy and source coding, underpin modern machine learning techniques like cross-entropy, decision trees, and evidence-lower bounds.This unique book connects IT with probabilistic inference, illustrated through real-world applications, such as decoding LDPC codes for error correction. The inclusion of the Lea probabilistic programming package is particularly valuable for pedagogy, offering students a hands-on tool to solve numerical problems and reinforce theoretical concepts.The useful reference text benefits professionals, researchers, academics and students in the fields of calculus and probability, communications and information sciences.

Introduction To Information Theory And Probabilistic Inference, An

De Gruyter Textbook

Engineering Mechanics is one of the fundamental branches of science which is important to educate professional engineers of any major. Most of the basic engineering courses, such as mechanics of materials, fluid and gas mechanics, machine design, mechatronics, acoustics and vibrations, etc. are based on Engineering Mechanics course. In order to absorb the materials of Engineering Mechanics, it is not enough to consume just a theoretical laws and theorems. A student also must develop an ability to solve practical problems. Therefore, it is necessary to solve many problems independently. The offered series of books are supplement to the Engineering Mechanics course in learning and applying the principles required to solve practical engineering problems in following branches of Mechanics: Statics, Kinematics, Dynamics and Advanced Kinetics. Each book contains several (between 6 and 8) topics of the branch. Each topic has 30 problems to be assigned as homework, tests and midterm/final exams with the consent of the instructor. A solution of one similar sample problem from each topic is provided. The first book contains 7 topics of the Statics, which is the branch of mechanics that is concerned with the analysis of forces acting on construction systems that without an acceleration (a state of the static equilibrium). The book is targeting the undergraduate students of the sophomore/junior level majoring in science and engineering. The author acknowledges that this work is essentially a translation and a revision of selected problems provided by Professor A. A. Yablonski ("Collection of Problems for Course Projects in Theoretical Mechanics, "Vischaya Shkola" Publ., 2nd ed., 1972, in Russian). The author intended to introduce this unique work to the western academia, which is the product of material covered by him in many classes over a period of four decades in a number of universities and colleges.

Problems and Solutions in Statics

Mechanical Engineering: Practical Problems

Implications of Natural-Language Sentences and All Logical Paradoxes Solved

Information-Oriented Logic

Dynamical Zeta Functions Nielsen Theory & Reide

Bibliografische Angaben

Schlagworte

Bibliografische Angaben

Schlagworte

Weitere Titel zum Thema