Set Theory 2

Suitable for upper-level undergraduates, this accessible approach to set theory poses rigorous but simple arguments. Each definition is accompanied by commentary that motivates and explains new conc……続きを見る

This book originates as an essential underlying component of a modern, imaginative three-semester honors program (six undergraduate courses) in Mathematical Studies. In its entirety, it covers Algeb……続きを見る

Few mathematical results capture the imagination like Georg Cantor's groundbreaking work on infinity in the late nineteenth century. This opened the door to an intricate axiomatic theory of sets whi……続きを見る

Psychic abilities are innate to all humans. This illustrated book helps you to explore and develop this inner part of yourself through a series of meditations and exercises. Through these you will l……続きを見る

This volume presents the lecture notes of short courses given by three leading experts in mathematical logic at the 2012 Asian Initiative for Infinity Logic Summer School. The major topics cover set……続きを見る

Relation theory originates with Hausdorff (Mengenlehre 1914) and Sierpinski (Nombres transfinis, 1928) with the study of order types, specially among chains = total orders = linear orders. One of it……続きを見る

This book provides a comprehensive and up-to-date introduction to Hodge theoryーone of the central and most vibrant areas of contemporary mathematicsーfrom leading specialists on the subject. The to……続きを見る

Fuzzy set and logic theory suggest that all natural language linguistic expressions are imprecise and must be assessed as a matter of degree. But in general membership degree is an imprecise notion ……続きを見る

This book provides a comprehensive exposition of the use of set-theoretic methods in abelian group theory, module theory, and homological algebra, including applications to Whitehead's Problem, the ……続きを見る

This volume covers the integration of fuzzy logic and expert systems. A vital resource in the field, it includes techniques for applying fuzzy systems to neural networks for modeling and control, sy……続きを見る

This volume is based on the talks given at the Workshop on Infinity and Truth held at the Institute for Mathematical Sciences, National University of Singapore, from 25 to 29 July 2011. The chapters……続きを見る

This volume provides a forum which highlights new achievements and overviews of recent developments of the thriving logic groups in the Asia-Pacific region. It contains papers by leading logicians a……続きを見る

In the mathematical practice, the Baire category method is a tool for establishing the existence of a rich array of generic structures. However, in mathematics, the Baire category method is also beh……続きを見る

Ever since Paul Cohen's spectacular use of the forcing concept to prove the independence of the continuum hypothesis from the standard axioms of set theory, forcing has been seen by the general math……続きを見る

The primary mechanism for ideological and theoretical unification in modern mathematics, set theory forms an essential element of any comprehensive treatment of the philosophy of mathematics. This u……続きを見る

The book is a research monograph on the notions of truth and assertibility as they relate to the foundations of mathematics. It is aimed at a general mathematical and philosophical audience. The cen……続きを見る

This volume presents the lecture notes of short courses given by three leading experts in mathematical logic at the 2010 and 2011 Asian Initiative for Infinity Logic Summer Schools. The major topics……続きを見る

This collection of articles, originating from a short course held at the University of Manchester, explores the ideas behind Pila's proof of the Andre–Oort conjecture for products of modular curves.……続きを見る

This book presents a new approach to the epistemology of mathematics by viewing mathematics as a human activity whose knowledge is intimately linked with practice. Charting an exciting new direction……続きを見る

The proceedings of the Los Angeles Caltech-UCLA 'Cabal Seminar' were originally published in the 1970s and 1980s. Ordinal Definability and Recursion Theory is the third in a series of four books col……続きを見る

'Circularity' is the story of a Janus-faced conceptual structure, that on the one hand led to deep scientific discoveries, and on the other hand is used to trick the mind into believing the impossib……続きを見る

Si on se rappelle à quel point l’œuvre de Poincaré est comme adéquate à toute la science mathématique, pure ou appliquée, que notre époque a produite……続きを見る

Aprenda 50 estratégias para ganhar na lotomania, um dos jogos mais bem elaborados da Caixa Econômica Federal.Com esse e-book você vai aprender a eliminar dezenas fracas, jogar apenas 80 dezenas mais……続きを見る

Algebra & Geometry: An Introduction to University Mathematics provides a bridge between high school and undergraduate mathematics courses on algebra and geometry. The author shows students how mathe……続きを見る

Infinitary logic, the logic of languages with infinitely long conjunctions, plays an important role in model theory, recursion theory and descriptive set theory. This book is the first modern introd……続きを見る

'The book is well written, and there is a welcome breadth in the choice of topics. I think this book is a valuable resource. Students who meticulously work through all the problems in the book in an……続きを見る

'A wealth of examples to which solutions are given permeate the text so the reader will certainly be active.' The Mathematical Gazette This is the final book written by the late great puzzle master ……続きを見る

Null Set collects the slightly obsessive possibilities that rise when we give them the spaceーodd jobs, trouble-making, and farm boy rambling, all in dialogue with mathematics, or William Faulkner, ……続きを見る

This outstanding text offers undergraduate students of physics, chemistry, and engineering a concise, readable introduction to matrices, sets, and groups. Concentrating mainly on matrix theory, the ……続きを見る

Anyone can appreciate the beauty, depth, and vitality of mathematics with the help of this highly readable text, specially developed from a college course designed to appeal to students in a variety……続きを見る