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Catalogue complet

A Mathematical Tour introduces readers to a selection of mathematical topics chosen for their centrality, importance, historical significance, and intrinsic appeal and beauty.

A Mathematical Tour introduces readers to a selection of mathematical topics chosen for their centrality, importance, historical significance, and intrinsic appeal and beauty.

Bell D: A Mathematical Tour

A Mathematical Tour

Chapter 1. Geometry Chapter 2. Number Theory Chapter 3. Medieval and Renaissance Mathematics Chapter 4. Algebra Chapter 5. Calculus Chapter 6. Complex Variables Chapter 7. Graph theory Chapter 8. Probability Chapter 9. Countability and Computability Solutions to starred exercises Bibliography Index

This book is an accessible introduction to philosophical logic's phenomenological approach, elucidating its principles and demonstrating its utility in uncovering the origins and development of logic. The analytical approach to philosophical logic which dominated early discourse posited that logic serves as a universal tool capable of articulating any consistent thought, representative of an era where formalism and rigor were prized as the ultimate pathways to clarity and precision. In recent times, however, the landscape of foundational mathematics has shifted with the emergence of univalent foundations. They, unlike symbolic logic and set theory, embrace the uncountable, infinite diversity of mathematical objects, something that was inconceivable within the confines of logical positivism.The phenomenological approach dispenses with the need for comprehensive logical calculi, focusing instead on smaller, modular units of logic referred to as logemes. The implications of this approach extend beyond historical analysis, holding significant potential for applications in artificial intelligence, machine learning, and more. By offering an expansive arsenal of homotopic tools, the phenomenological approach equips researchers and practitioners with innovative techniques for tackling complex problems in all fields.

Philosophical Logic: A Phenomenological Approach

The Times Puzzle Books

300 Compelling and Addictive Codewords

The Times Bumper Book of Codewords Book 2

Navigating Across Mathematical Cultures And Times: Exploring The Diversity Of Discoveries And Proofs

Huge Numbers

Plato, Whitehead, Aristotle

On Mathematics, Unity, and the Good

The Times Su Doku

200 Challenging Puzzles

The Times Super Fiendish Su Doku Book 13

200 Lethal Su Doku Puzzles

The Times Killer Su Doku Book 22

How Practical Arithmetic Shaped Commerce and Mathematics in Western Europe, 1200–1600

The Craft of Indo-Arabic Numerals

Oxford Graduate Texts in Mathematics

Graph theory and especially the study of graph homomorphisms has developed exponentially in the last couple of decades. Originally based on the authors' graduate course lecture notes, this is still the only book devoted entirely to graph homomorphisms, bringing together the highlights of the theory and its many applications. It offers a useful perspective on more traditional graph theory topics such as graph reconstruction, various forms of graph colouring, graph products, automorphism groups, chordality, and interval graphs, and has applications in complexity theory, artificial intelligence, telecommunication, and statistical physics. It is intended to be a sampler of this rich subject and focuses on its most interesting results, techniques, and applications, including its algebraic, combinatorial, and algorithmic aspects. The book discusses most of the recent developments in the field, such as the disproof of the Hedetniemi Product Conjecture, the proof of the Feder-Vardi Dichotomy Conjecture of constraint satisfaction problems, as well as the celebrated theory of graph convergence and graphons. The text contains exercises of varying difficulty, intended to support readers' learning and further development.

Graphs and Homomorphisms

Advances in Computers

Quantum Machine Learning (QML): Platform, Tools and Applications: Volume 140

This book serves as an introduction to Banach algebra theory, operator theory, and C*-algebras. It is aimed at graduate students with basic knowledge of functional analysis, or researchers who wish to pursue research in these areas.While covering the standard material necessary to embark on any further exploration of the theory (Gelfand theory, the GNS construction and the spectral theorem for normal operators), the book also presents specialized material and topics of recent interest, including the holomorphic functional calculus and upper-semicontinuity of the spectrum, Jacobson's Density Theorem, the Cohen-Hewitt Factorisation Theorem, Kaplansky's Density Theorem and Kadison's Transitivity Theorem.The presentation is detailed and clear, with special attention to highlighting the scope and limitations of the theory through examples. Each chapter includes Notes and Remarks which provide extra context, and in many instances relate the material to recent results in the research literature and to open problems.The appendices are not normally found in introductory textbooks, which include Fredholm theory for Hilbert space operators, Arens regularity, the injective and projective tensor products of Banach spaces, the Schatten p-classes, and the Sherman-Takeda Theorem.

Introduction To Banach Algebras And Operator Algebras, An

A Mathematical Tour

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