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Naive Set Theory

by Paul R. Halmos ...

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

$10.99 USD

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
Everything and More: A Compact History of Infinity

A Compact History of Infinity

by David Foster Wallace ...

"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

"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
Journey to the Edge of Reason

The Life of Kurt Gödel

by Stephen Budiansky ...

The 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 must contain propositions that are true—yet never provable—continues to unsettle mathematics, philosophy, and computer science. Yet ... Read more

$14.99 USD

The 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 must contain propositions that are true—yet never provable—continues to unsettle mathematics, philosophy, and computer science. Yet
... Read more
Category Theory for the Sciences

by David I. Spivak ...

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 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
Set Theory

A First Course

by Daniel W. Cunningham ...

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

$59.99 USD

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
The Baseball Mysteries

Challenging Puzzles for Logical Detectives

by Jerry Butters, Jim Henle ...

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

$38.99 USD

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
Mathematical Logic

by Joseph R. Shoenfield ...

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

$70.99 USD

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
Fundamentals of Mathematical Logic

by Peter G. Hinman ...

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

$176.99 USD

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

by Douglas Cenzer, Jean Larson, Christopher Porter, Jindrich Zapletal ...

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

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
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

$63.99 USD

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
Elements of Set Theory

by Herbert B. Enderton ...

This is an introductory undergraduate textbook in set theory. In mathematics these days, essentially everything is a set. Some knowledge of set theory is necessary part of the background everyone needs for further study of mathematics. It is also possible to study set theory for its own interest--it is a subject with intruiging results anout simple objects. This book starts with material that ... Read more

$52.99 USD

This is an introductory undergraduate textbook in set theory. In mathematics these days, essentially everything is a set. Some knowledge of set theory is necessary part of the background everyone needs for further study of mathematics. It is also possible to study set theory for its own interest--it is a subject with intruiging results anout simple objects. This book starts with material that
... Read more
Discrete Mathematics

An Open Introduction

by Oscar Levin ...

Series series Discrete Mathematics and Its Applications
Discrete Mathematics: An Open Introduction, Fourth Edition aims to provide an introduction to select topics in discrete mathematics at a level appropriate for first or second year undergraduate math and computer science majors, especially those who intend to teach middle and high school mathematics. The book began as a set of notes for the Discrete Mathematics course at the University of Northern ... Read more

$70.99 USD

Discrete Mathematics: An Open Introduction, Fourth Edition aims to provide an introduction to select topics in discrete mathematics at a level appropriate for first or second year undergraduate math and computer science majors, especially those who intend to teach middle and high school mathematics. The book began as a set of notes for the Discrete Mathematics course at the University of Northern
... Read more
Computability Theory

by S. Barry Cooper, S. Barry Cooper ...

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

$145.99 USD

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
A Gentle Introduction to Group Theory

by Bana Al Subaiei, Muneerah Al Nuwairan ...

Series series Mathematics and Statistics (R0)
The book is intended to serve as an introductory course in group theory geared towards second-year university students. It aims to provide them with the background needed to pursue more advanced courses in algebra and to provide a rich source of examples and exercises. Studying group theory began in the late eighteenth century and is still gaining importance due to its applications in physics, ... Read more

$49.99 USD

The book is intended to serve as an introductory course in group theory geared towards second-year university students. It aims to provide them with the background needed to pursue more advanced courses in algebra and to provide a rich source of examples and exercises. Studying group theory began in the late eighteenth century and is still gaining importance due to its applications in physics,
... Read more
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

$58.99 USD

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
Beginner's Further Guide To Mathematical Logic, A

by Raymond M Smullyan ...

'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

'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
Maths Hacks

by Richard Cochrane ...

Series series Hacks
Everything you need to know about 100 key mathematical concepts condensed into easy-to-understand sound bites designed to stick in your memory and give you an instant grasp of the concept.On each topic, you'll start with a helicopter overview of the subject, which will give you an introduction to the idea and some context surrounding it. Next, you'll zoom in on the core elements of the theory, ... Read more

$2.99 USD

Everything you need to know about 100 key mathematical concepts condensed into easy-to-understand sound bites designed to stick in your memory and give you an instant grasp of the concept.On each topic, you'll start with a helicopter overview of the subject, which will give you an introduction to the idea and some context surrounding it. Next, you'll zoom in on the core elements of the theory,
... Read more
Set Theory-Based Spacecraft Dynamics and Control

by Chen Yang, Yuanqing Xia ...

Series series Mathematics and Statistics (R0)
This book presents a unified set theory-based framework for spacecraft dynamics and control under multi-source uncertainties and data-sparse conditions. First, it develops reduced-order modeling techniques for high-dimensional spacecraft dynamics by introducing interval and convex set-based uncertainty descriptions, enabling efficient model reduction while rigorously quantifying unknown-but ... Read more

$179.99 USD

This book presents a unified set theory-based framework for spacecraft dynamics and control under multi-source uncertainties and data-sparse conditions. First, it develops reduced-order modeling techniques for high-dimensional spacecraft dynamics by introducing interval and convex set-based uncertainty descriptions, enabling efficient model reduction while rigorously quantifying unknown-but
... Read more
O-Minimality and Diophantine Geometry

Edited by G. O. Jones, A. J. Wilkie ...

Series Book 421 - London Mathematical Society Lecture Note Series
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. The basic strategy has three main ingredients: the Pila–Wilkie theorem, bounds on Galois orbits, and functional transcendence results. All of these topics are covered in this volume, making it ideal ... Read more

$69.99 USD

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. The basic strategy has three main ingredients: the Pila–Wilkie theorem, bounds on Galois orbits, and functional transcendence results. All of these topics are covered in this volume, making it ideal
... Read more
The System of the World(Best Navigation, Active TOC)

by Isaac Newton ...

The System of the World by Isaac Newton. Sir Isaac Newton (1642–1727) was an English physicist and mathematician who is widely recognised as one of the most influential scientists of all time and as a key figure in the scientific revolution.This great work supplied the momentum for the Scientific Revolution and dominated physics for over 200 years.It was the ancient opinion of not a few, in the ... Read more

$0.99 USD or Free with Kobo Plus

The System of the World by Isaac Newton. Sir Isaac Newton (1642–1727) was an English physicist and mathematician who is widely recognised as one of the most influential scientists of all time and as a key figure in the scientific revolution.This great work supplied the momentum for the Scientific Revolution and dominated physics for over 200 years.It was the ancient opinion of not a few, in the
... Read more
Mathematics Applied to Engineering in Action

Advanced Theories, Methods, and Models

Edited by Nazmul Islam, Satya Bir Singh, Prabhat Ranjan, A. K. Haghi ...

Mathematics Applied to Engineering in Action: Advanced Theories, Methods, and Models focuses on material relevant to solving the kinds of mathematical problems regularly confronted by engineers. This new volume explains how an engineer should properly define the physical and mathematical problem statements, choose the computational approach, and solve the problem by a proven reliable approach. It ... Read more

$169.99 USD

Mathematics Applied to Engineering in Action: Advanced Theories, Methods, and Models focuses on material relevant to solving the kinds of mathematical problems regularly confronted by engineers. This new volume explains how an engineer should properly define the physical and mathematical problem statements, choose the computational approach, and solve the problem by a proven reliable approach. It
... Read more
人口变动与教育资源需求预测：以北京为例

by 赵佳音 ...

伴隨著我國改革開放和社會經濟發展，人口在城鄉之間、城市之間大規模流動。人口城鎮化率不斷上升。北京作為城鎮化過程中的主要人口流入地，在提供均等化的義務教育公共服務方面，面臨著極大的挑戰。加之“全面二孩”政策、及“非首都功能疏解”等相關政策的實施，為北京基礎教育階段的學位需求情況帶來了更多的不確定性。從這些實際問題出發，本書將著重討論以下兩個問題：1. 基礎教育階段適齡人口的預測方法與北京市及各區2010年至2027年基礎教育階段適齡人口的預測2.基礎教育資源需求的預測方法與北京市及各區基礎教育2010年至2027年教育資源需求的預測。本書的創新之處在於：1.對學齡人口預測與教育資源需求預測的方法進行了改進，提高了預測的科學性。2.將學齡人口的預測應用於北京市及其各區，以往的研究多集中於國家或者省級層面，對一個城市及其內部各區縣的預測並不多見。3.將人口預測與教育資源需求預測相結合 ... Read more

$10.99 USD or Free with Kobo Plus

伴隨著我國改革開放和社會經濟發展，人口在城鄉之間、城市之間大規模流動。人口城鎮化率不斷上升。北京作為城鎮化過程中的主要人口流入地，在提供均等化的義務教育公共服務方面，面臨著極大的挑戰。加之“全面二孩”政策、及“非首都功能疏解”等相關政策的實施，為北京基礎教育階段的學位需求情況帶來了更多的不確定性。從這些實際問題出發，本書將著重討論以下兩個問題：1. 基礎教育階段適齡人口的預測方法與北京市及各區2010年至2027年基礎教育階段適齡人口的預測2.基礎教育資源需求的預測方法與北京市及各區基礎教育2010年至2027年教育資源需求的預測。本書的創新之處在於：1.對學齡人口預測與教育資源需求預測的方法進行了改進，提高了預測的科學性。2.將學齡人口的預測應用於北京市及其各區，以往的研究多集中於國家或者省級層面，對一個城市及其內部各區縣的預測並不多見。3.將人口預測與教育資源需求預測相結合
... Read more
Philosophy of Mathematics

Classic and Contemporary Studies

by Ahmet Cevik ...

Series series Textbooks in Mathematics
The philosophy of mathematics is an exciting subject. Philosophy of Mathematics: Classic and Contemporary Studies explores the foundations of mathematical thought. The aim of this book is to encourage young mathematicians to think about the philosophical issues behind fundamental concepts and about different views on mathematical objects and mathematical knowledge.With this new approach, the ... Read more

$77.99 USD

The philosophy of mathematics is an exciting subject. Philosophy of Mathematics: Classic and Contemporary Studies explores the foundations of mathematical thought. The aim of this book is to encourage young mathematicians to think about the philosophical issues behind fundamental concepts and about different views on mathematical objects and mathematical knowledge.With this new approach, the
... Read more
Probability Foundations for Engineers

by Joel A. Nachlas ...

This textbook will continue to be the best suitable textbook written specifically for a first course on probability theory and designed for industrial engineering and operations management students. The book offers theory in an accessible manner and includes numerous practical examples based on engineering applications.Probability Foundations for Engineers, Second Edition continues to focus ... Read more

$68.99 USD

This textbook will continue to be the best suitable textbook written specifically for a first course on probability theory and designed for industrial engineering and operations management students. The book offers theory in an accessible manner and includes numerous practical examples based on engineering applications.Probability Foundations for Engineers, Second Edition continues to focus
... Read more

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