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Set Theory eBooks

If you like Set Theory eBooks, then you'll love these top picks.
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  • Everything and More: A Compact History of Infinity

    "A gripping guide to the modern taming of the infinite."—The New York Times. With a new introduction by Neal Stephenson.Is infinity a valid mathematical property or a meaningless abstraction? David Foster Wallace brings his intellectual ambition and characteristic bravura style to the story of how mathematicians have struggled to understand the infinite, from the ancient Greeks to the nineteenth ... Read more

    $12.99 USD

  • How to Prove It

    A Structured Approach

    Proofs play a central role in advanced mathematics and theoretical computer science, yet many students struggle the first time they take a course in which proofs play a significant role. This bestselling text's third edition helps students transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. Featuring over 150 new exercises and a new ... Read more

    $32.99 USD

  • Journey to the Edge of Reason: The Life of Kurt Gödel

    **A New York Times Critics' Top Book of 2021 • A Booklist Top Ten Biography of 2021 • A Kirkus Reviews Best Science Book of 2021The first major biography written for a general audience of the logician and mathematician whose Incompleteness Theorems helped launch a modern scientific revolution.**Nearly a hundred years after its publication, Kurt Gödel’s famous proof that every mathematical system ... Read more

    $18.99 USD

  • Set Theory

    A First Course

    Series series Cambridge Mathematical Textbooks
    Set theory is a rich and beautiful subject whose fundamental concepts permeate virtually every branch of mathematics. One could say that set theory is a unifying theory for mathematics, since nearly all mathematical concepts and results can be formalized within set theory. This textbook is meant for an upper undergraduate course in set theory. In this text, the fundamentals of abstract sets, ... Read more

    $55.99 USD

  • Category Theory for the Sciences

    An introduction to category theory as a rigorous, flexible, and coherent modeling language that can be used across the sciences.Category theory was invented in the 1940s to unify and synthesize different areas in mathematics, and it has proven remarkably successful in enabling powerful communication between disparate fields and subfields within mathematics. This book shows that category theory can ... Read more

    $33.99 USD

  • An Introduction to Matrices, Sets and Groups for Science Students

    by G. Stephenson ...
    Series series Dover Books on Mathematics
    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 book is virtually self-contained, requiring a minimum of mathematical knowledge and providing all the background necessary to develop a thorough comprehension of the subject.Beginning with a chapter on ... Read more

    $12.95 USD or Free with Kobo Plus

  • Axiomatic Set Theory

    Series series Dover Books on Mathematics
    One of the most pressingproblems of mathematics over the last hundred years has been the question: What is a number? One of the most impressive answers has been the axiomatic development of set theory. The question raised is: "Exactly what assumptions, beyond those of elementary logic, are required as a basis for modern mathematics?" Answering this question by means of the Zermelo-Fraenkel system, ... Read more

    $14.95 USD or Free with Kobo Plus

  • A Book of Set Theory

    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 concepts. Starting with a repetition of the familiar arguments of elementary set theory, the level of abstract thinking gradually rises for a progressive increase in complexity.A historical introduction ... Read more

    $14.95 USD or Free with Kobo Plus

  • Set Theory: The Structure of Arithmetic

    Series series Dover Books on Mathematics
    This text is formulated on the fundamental idea that much of mathematics, including the classical number systems, can best be based on set theory. Beginning with a discussion of the rudiments of set theory, authors Norman T. Hamilton and Joseph Landin lead readers through a construction of the natural number system, discussing the integers and the rational numbers, and concluding with an in-depth ... Read more

    $19.95 USD or Free with Kobo Plus

  • Fundamentals of Mathematical Logic

    This introductory graduate text covers modern mathematical logic from propositional, first-order and infinitary logic and Gödel's Incompleteness Theorems to extensive introductions to set theory, model theory and recursion (computability) theory. Based on the author's more than 35 years of teaching experience, the book develops students' intuition by presenting complex ideas in the simplest ... Read more

    $150.99 USD

  • The Baseball Mysteries

    Challenging Puzzles for Logical Detectives

    Series series AK Peters/CRC Recreational Mathematics Series
    The Baseball Mysteries: Challenging Puzzles for Logical Detectives is a book of baseball puzzles, logical baseball puzzles. To jump in, all you need is logic and a casual fan’s knowledge of the game. The puzzles are solved by reasoning from the rules of the game and a few facts.The logic in the puzzles is like legal reasoning. A solution must argue from evidence (the facts) and law (the rules). ... Read more

    $31.99 USD

  • The Philosophy of Set Theory

    An Historical Introduction to Cantor's Paradise

    by Mary Tiles ...
    Series series Dover Books on Mathematics
    A century ago, Georg Cantor demonstrated the possibility of a series of transfinite infinite numbers. His methods, unorthodox for the time, enabled him to derive theorems that established a mathematical reality for a hierarchy of infinities. Cantor's innovation was opposed, and ignored, by the establishment; years later, the value of his work was recognized and appreciated as a landmark in ... Read more

    $14.95 USD or Free with Kobo Plus

  • Beginner's Further Guide To Mathematical Logic, A

    'A wealth of examples to which solutions are given permeate the text so the reader will certainly be active.'The Mathematical GazetteThis is the final book written by the late great puzzle master and logician, Dr. Raymond Smullyan.This book is a sequel to my Beginner's Guide to Mathematical Logic.The previous volume deals with elements of propositional and first-order logic, contains a bit on ... Read more

    $18.99 USD

  • Un'equazione semplice per i numeri Primi

    Ogni curioso dei numeri Primi, “i mattoni con cui si costruiscono tutti gli altri numeri”, sa che la ricerca di una semplice formula per “distinguere nell'ambito degli interi positivi tutti i numeri Primi e solo essi” è un enigma tuttora irrisolto.Il libro lo affronta coraggiosamente, esibendo subito una semplice equazione, e mostrando, con dovizia di esempi, che essa è in grado non solo di ... Read more

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  • Set Theory and Logic

    Series series Dover Books on Mathematics
    Set Theory and Logic is the result of a course of lectures for advanced undergraduates, developed at Oberlin College for the purpose of introducing students to the conceptual foundations of mathematics. Mathematics, specifically the real number system, is approached as a unity whose operations can be logically ordered through axioms. One of the most complex and essential of modern mathematical ... Read more

    $21.95 USD or Free with Kobo Plus

  • Mathematical Logic

    This classic introduction to the main areas of mathematical logic provides the basis for a first graduate course in the subject. It embodies the viewpoint that mathematical logic is not a collection of vaguely related results, but a coherent method of attacking some of the most interesting problems, which face the mathematician. The author presents the basic concepts in an unusually clear and ... Read more

    $61.99 USD

  • Basic Category Theory

    by Tom Leinster ...
    Series Book 143 - Cambridge Studies in Advanced Mathematics
    At the heart of this short introduction to category theory is the idea of a universal property, important throughout mathematics. After an introductory chapter giving the basic definitions, separate chapters explain three ways of expressing universal properties: via adjoint functors, representable functors, and limits. A final chapter ties all three together. The book is suitable for use in ... Read more

    $57.99 USD

  • Naive Set Theory

    Series series Dover Books on Mathematics
    This classic by one of the twentieth century's most prominent mathematicians offers a concise introduction to set theory. Suitable for advanced undergraduates and graduate students in mathematics, it employs the language and notation of informal mathematics. There are very few displayed theorems; most of the facts are stated in simple terms, followed by a sketch of the proof. Only a few exercises ... Read more

    $12.95 USD or Free with Kobo Plus

  • Set Theory And Foundations Of Mathematics: An Introduction To Mathematical Logic - Volume I: Set Theory

    This book provides an introduction to axiomatic set theory and descriptive set theory. It is written for the upper level undergraduate or beginning graduate students to help them prepare for advanced study in set theory and mathematical logic as well as other areas of mathematics, such as analysis, topology, and algebra.The book is designed as a flexible and accessible text for a one-semester ... Read more

    $28.99 USD

  • The Birth of Ontological Mathematics: The Origin of the Ultimate Intellectual Revolution

    Birth of Ontological Mathematics, #1

    by Jack Tanner ...
    Series Book 1 - Birth of Ontological Mathematics
    Ontological mathematics is the rational and logical explanation of everything. Where did it come from?If you wish to develop a profound understanding of ontological mathematics, the science that will shape the future of the human race, you need to know the context in which it evolved, and how it diverged from scientific materialism.Ontological mathematics is the subject that accomplished what ... Read more

    $9.99 USD or Free with Kobo Plus

  • The Universal Computer

    The Road from Leibniz to Turing, Third Edition

    by Martin Davis ...
    The breathtakingly rapid pace of change in computing makes it easy to overlook the pioneers who began it all. The Universal Computer: The Road from Leibniz to Turing explores the fascinating lives, ideas, and discoveries of seven remarkable mathematicians. It tells the stories of the unsung heroes of the computer age – the logicians. ... Read more

    $49.99 USD

  • Computability Theory

    Series series Chapman Hall/CRC Mathematics Series
    Computability theory originated with the seminal work of Gödel, Church, Turing, Kleene and Post in the 1930s. This theory includes a wide spectrum of topics, such as the theory of reducibilities and their degree structures, computably enumerable sets and their automorphisms, and subrecursive hierarchy classifications. Recent work in computability theory has focused on Turing definability and ... Read more

    $125.99 USD

  • Monoidal Topology

    A Categorical Approach to Order, Metric, and Topology

    Series Book 153 - Encyclopedia of Mathematics and its Applications
    Monoidal Topology describes an active research area that, after various past proposals on how to axiomatize 'spaces' in terms of convergence, began to emerge at the beginning of the millennium. It combines Barr's relational presentation of topological spaces in terms of ultrafilter convergence with Lawvere's interpretation of metric spaces as small categories enriched over the extended real half ... Read more

    $137.99 USD

  • Proof Theory

    Sequent Calculi and Related Formalisms

    by Katalin Bimbo ...
    Series series Discrete Mathematics and Its Applications
    Although sequent calculi constitute an important category of proof systems, they are not as well known as axiomatic and natural deduction systems. Addressing this deficiency, Proof Theory: Sequent Calculi and Related Formalisms presents a comprehensive treatment of sequent calculi, including a wide range of variations. It focuses on sequent calculi ... Read more

    $64.99 USD