tag:blogger.com,1999:blog-45442738817944013382017-06-21T19:58:30.536-07:00Mathematics LibraryMathematics Notes and BooksScotthttp://www.blogger.com/profile/18374120619122253208noreply@blogger.comBlogger211125tag:blogger.com,1999:blog-4544273881794401338.post-695418946779234172015-10-15T23:01:00.001-07:002015-10-15T23:01:56.728-07:00 Probability and Random Processes 3rd Edition by Grimmett, Stirzaker PDF Download<div dir="ltr" style="text-align: left;" trbidi="on"><a href="http://ecx.images-amazon.com/images/I/51cFeR5-5yL._SX353_BO1,204,203,200_.jpg" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" src="http://ecx.images-amazon.com/images/I/51cFeR5-5yL._SX353_BO1,204,203,200_.jpg" height="320" width="204" /></a> This book gives an introduction to probability and its many practical application by providing a thorough, entertaining account of basic probability and important random processes, covering a range of important topics. Emphasis is on modelling rather than abstraction and there are new sections on sampling and Markov chain Monte Carlo, renewal-reward, queueing networks, stochastic calculus, and option pricing in the Black-Scholes model for financial markets. In addition, there are almost 400 exercises and problems relevant to the material. Solutions can be found in One Thousand Exercises in Probability.<br /><br /><a href="http://sh.st/bnR4c" target="_blank">Download</a></div>Scotthttp://www.blogger.com/profile/18374120619122253208noreply@blogger.com2tag:blogger.com,1999:blog-4544273881794401338.post-84938739900282909762015-10-13T07:03:00.000-07:002015-10-13T07:03:37.862-07:00 Introduction to Probability Theory 1st Edition by Hoel, Port, Stone <div dir="ltr" style="text-align: left;" trbidi="on"><a href="http://ecx.images-amazon.com/images/I/41T4HIbNIOL._SX318_BO1,204,203,200_.jpg" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" src="http://ecx.images-amazon.com/images/I/41T4HIbNIOL._SX318_BO1,204,203,200_.jpg" height="320" width="204" /></a> An excellent book to learn probability theory for both undergraduates and graduate students. <br /><br /><a href="http://sh.st/bcCkH" target="_blank">Download</a></div>Scotthttp://www.blogger.com/profile/18374120619122253208noreply@blogger.com0tag:blogger.com,1999:blog-4544273881794401338.post-69844033072532398522015-10-12T00:27:00.000-07:002015-10-12T00:27:08.499-07:00 Understanding Probability 3rd Edition by Henk Tijms PDF Download<div dir="ltr" style="text-align: left;" trbidi="on"><a href="http://ecx.images-amazon.com/images/I/515HWD2b57L._SX331_BO1,204,203,200_.jpg" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" src="http://ecx.images-amazon.com/images/I/515HWD2b57L._SX331_BO1,204,203,200_.jpg" height="320" width="204" /></a> Understanding Probability is a unique and stimulating approach to a first course in probability. The first part of the book demystifies probability and uses many wonderful probability applications from everyday life to help the reader develop a feel for probabilities. The second part, covering a wide range of topics, teaches clearly and simply the basics of probability. This fully revised third edition has been packed with even more exercises and examples and it includes new sections on Bayesian inference, Markov chain Monte-Carlo simulation, hitting probabilities in random walks and Brownian motion, and a new chapter on continuous-time Markov chains with applications. Here you will find all the material taught in an introductory probability course. The first part of the book, with its easy-going style, can be read by anybody with a reasonable background in high school mathematics. The second part of the book requires a basic course in calculus.<br /><br /><a href="http://sh.st/bxPBK" target="_blank">Download</a></div>Scotthttp://www.blogger.com/profile/18374120619122253208noreply@blogger.com1tag:blogger.com,1999:blog-4544273881794401338.post-63763411767604010382015-10-08T00:30:00.002-07:002015-10-08T00:30:22.490-07:00A Walk Through Combinatorics: An Introduction to Enumeration and Graph Theory PDF Download<div dir="ltr" style="text-align: left;" trbidi="on"><a href="http://ecx.images-amazon.com/images/I/51SGJ6uUJZL._SX332_BO1,204,203,200_.jpg" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" src="http://ecx.images-amazon.com/images/I/51SGJ6uUJZL._SX332_BO1,204,203,200_.jpg" height="320" width="204" /></a> This is a textbook for an introductory combinatorics course lasting one or two semesters. An extensive list of problems, ranging from routine exercises to research questions, is included. In each section, there are also exercises that contain material not explicitly discussed in the preceding text, so as to provide instructors with extra choices if they want to shift the emphasis of their course. Just as with the first two editions, the new edition walks the reader through the classic parts of combinatorial enumeration and graph theory, while also discussing some recent progress in the area: on the one hand, providing material that will help students learn the basic techniques, and on the other hand, showing that some questions at the forefront of research are comprehensible and accessible to the talented and hardworking undergraduate. The basic topics discussed are: the twelvefold way, cycles in permutations, the formula of inclusion and exclusion, the notion of graphs and trees, matchings, Eulerian and Hamiltonian cycles, and planar graphs.<br /><br /><a href="http://sh.st/bjrRq" target="_blank">Download</a></div>Scotthttp://www.blogger.com/profile/18374120619122253208noreply@blogger.com0tag:blogger.com,1999:blog-4544273881794401338.post-79440113814426493412015-10-08T00:21:00.001-07:002015-10-08T00:21:18.257-07:00An Invitation to Discrete Mathematics by Jiri Matousek, Jaroslav Nesetril PDF Download<div dir="ltr" style="text-align: left;" trbidi="on"><a href="http://ecx.images-amazon.com/images/I/51BOh0Xi14L._SX331_BO1,204,203,200_.jpg" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" src="http://ecx.images-amazon.com/images/I/51BOh0Xi14L._SX331_BO1,204,203,200_.jpg" height="320" width="204" /></a> This book is a clear and self-contained introduction to discrete mathematics. Aimed mainly at undergraduate and early graduate students of mathematics and computer science. It is written with the goal of stimulating interest in mathematics and an active, problem-solving approach to the presented material. The reader is led to an understanding of the basic principles and methods of actually doing mathematics (and having fun at that) Being more narrowly focused than many discrete mathematics textbooks and treating selected topics in an unusual depth and from several points of view, the book reflects the conviction of the authors, active and internationally renowned mathematicians, that the most important gain from studying mathematics is the cultivation of clear and logical thinking and habits useful for attacking new problems.<br /><br /><a href="http://sh.st/bjreW" target="_blank">Download</a></div>Scotthttp://www.blogger.com/profile/18374120619122253208noreply@blogger.com0tag:blogger.com,1999:blog-4544273881794401338.post-12975509389935936772015-10-08T00:13:00.000-07:002015-10-08T00:13:02.323-07:00Flatland: A Romance of Many Dimensions by Edwin A. Abbott PDF Download<div dir="ltr" style="text-align: left;" trbidi="on"><a href="http://ecx.images-amazon.com/images/I/51WITI8AHjL._AC_UL320_SR200,320_.jpg" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" src="http://ecx.images-amazon.com/images/I/51WITI8AHjL._AC_UL320_SR200,320_.jpg" height="320" width="204" /></a> This masterpiece of science (and mathematical) fiction is a delightfully unique and highly entertaining satire that has charmed readers for more than 100 years. The work of English clergyman, educator and Shakespearean scholar Edwin A. Abbott (1838-1926), it describes the journeys of A. Square, a mathematician and resident of the two-dimensional Flatland, where women-thin, straight lines-are the lowliest of shapes, and where men may have any number of sides, depending on their social status.<br />Through strange occurrences that bring him into contact with a host of geometric forms, Square has adventures in Spaceland (three dimensions), Lineland (one dimension) and Pointland (no dimensions) and ultimately entertains thoughts of visiting a land of four dimensions—a revolutionary idea for which he is returned to his two-dimensional world. Charmingly illustrated by the author, Flatland is not only fascinating reading, it is still a first-rate fictional introduction to the concept of the multiple dimensions of space. "Instructive, entertaining, and stimulating to the imagination.<br /><br /><a href="http://sh.st/bjeGN" target="_blank">Download</a></div>Scotthttp://www.blogger.com/profile/18374120619122253208noreply@blogger.com0tag:blogger.com,1999:blog-4544273881794401338.post-46246682495056555712015-10-08T00:03:00.001-07:002015-10-08T00:03:57.172-07:00Gödel, Escher, Bach: An Eternal Golden Braid by Douglas R. Hofstadter PDF Download<div dir="ltr" style="text-align: left;" trbidi="on"><a href="http://ecx.images-amazon.com/images/I/4193iI6WHqL._SY344_BO1,204,203,200_.jpg" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" src="http://ecx.images-amazon.com/images/I/4193iI6WHqL._SY344_BO1,204,203,200_.jpg" height="320" width="204" /></a> Gödel, Escher, Bach: An Eternal Golden Braid, also known as GEB, is a 1979 book by Douglas Hofstadter. The tagline "a metaphorical fugue on minds and machines in the spirit of Lewis Carroll" was used by the publisher to describe the book.[1] By exploring common themes in the lives and works of logician Kurt Gödel, artist M. C. Escher and composer Johann Sebastian Bach, GEB expounds concepts fundamental to mathematics, symmetry, and intelligence. Through illustration and analysis, the book discusses how self-reference and formal rules allow systems to acquire meaning despite being made of "meaningless" elements. It also discusses what it means to communicate, how knowledge can be represented and stored, the methods and limitations of symbolic representation, and even the fundamental notion of "meaning" itself.<br /><br /><a href="http://sh.st/bjekn" target="_blank">Download</a></div>Scotthttp://www.blogger.com/profile/18374120619122253208noreply@blogger.com0tag:blogger.com,1999:blog-4544273881794401338.post-54509388975839237582015-10-07T23:49:00.000-07:002015-10-07T23:49:30.123-07:00Logicomix: An epic search for truth by Doxiadis, Papadimitriou PDF Download<div dir="ltr" style="text-align: left;" trbidi="on"><a href="http://ecx.images-amazon.com/images/I/51ExA-wU3BL._SY344_BO1,204,203,200_.jpg" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" src="http://ecx.images-amazon.com/images/I/51ExA-wU3BL._SY344_BO1,204,203,200_.jpg" height="320" width="204" /></a> Logicomix: An Epic Search for Truth is a graphic novel about the foundational quest in mathematics, written by Apostolos Doxiadis, author of Uncle Petros and Goldbach's Conjecture, and theoretical computer scientist Christos Papadimitriou of the University of California, Berkeley. Character design and artwork are by Alecos Papadatos and color is by Annie Di Donna.<br /><br /> <a href="http://sh.st/bjwLh" target="_blank">Download</a></div>Scotthttp://www.blogger.com/profile/18374120619122253208noreply@blogger.com0tag:blogger.com,1999:blog-4544273881794401338.post-19304801740281928432015-09-24T01:53:00.001-07:002015-09-24T01:53:57.005-07:00Sage Beginner's Guide by Craig Finch PDF Download<div dir="ltr" style="text-align: left;" trbidi="on"><a href="http://ecx.images-amazon.com/images/I/41pzFnuM4YL._SX258_BO1,204,203,200_.jpg" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" src="http://ecx.images-amazon.com/images/I/41pzFnuM4YL._SX258_BO1,204,203,200_.jpg" height="320" width="204" /></a> This is a beginner's guide with clear step-by-step instructions, explanations, and advice. Each concept is illustrated with a complete example that you can use as a starting point for your own work. If you are an engineer, scientist, mathematician, or student, this book is for you. To get the most from Sage by using the Python programming language, we'll give you the basics of the language to get you started. For this, it will be helpful if you have some experience with basic programming concepts.<br /><br /><br /><a href="http://sh.st/bwtBN" target="_blank">Download</a></div>Scotthttp://www.blogger.com/profile/18374120619122253208noreply@blogger.com0tag:blogger.com,1999:blog-4544273881794401338.post-74084452639109765962015-09-23T21:18:00.001-07:002015-09-23T21:57:04.427-07:00Mathematics The Loss of Certainty by Morris Kline<div dir="ltr" style="text-align: left;" trbidi="on"><a href="http://ecx.images-amazon.com/images/I/51WK7j43ioL._SX326_BO1,204,203,200_.jpg" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" src="http://ecx.images-amazon.com/images/I/51WK7j43ioL._SX326_BO1,204,203,200_.jpg" height="320" width="204" /></a> This work stresses the illogical manner in which mathematics has developed, the question of applied mathematics as against 'pure' mathematics, and the challenges to the consistency of mathematics' logical structure that have occurred in the twentieth century.<br /><br /><a href="http://sh.st/bq5ru" target="_blank">Download</a></div>Scotthttp://www.blogger.com/profile/18374120619122253208noreply@blogger.com0tag:blogger.com,1999:blog-4544273881794401338.post-48340354001777060372015-09-22T04:58:00.000-07:002015-09-22T04:58:02.399-07:00A First Course in Probability 8th Edition by Sheldon Ross PDF Download<div dir="ltr" style="text-align: left;" trbidi="on"><a href="http://ecx.images-amazon.com/images/I/415Tc8uE%2B1L._SX398_BO1,204,203,200_.jpg" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" src="http://ecx.images-amazon.com/images/I/415Tc8uE%2B1L._SX398_BO1,204,203,200_.jpg" height="320" width="204" /></a>A First Course in Probability, Eighth Edition, features clear and intuitive explanations of the mathematics of probability theory, outstanding problem sets, and a variety of diverse examples and applications. This book is ideal for an upper-level undergraduate or graduate level introduction to probability for math, science, engineering and business students. It assumes a background in elementary calculus. <br /><br /><a href="http://sh.st/v9CJe" target="_blank">Download</a></div>Scotthttp://www.blogger.com/profile/18374120619122253208noreply@blogger.com0tag:blogger.com,1999:blog-4544273881794401338.post-90943097174448744902015-09-22T04:41:00.001-07:002015-09-22T04:41:17.502-07:00 Probability Theory: The Logic of Science 1st Edition by Jaynes and Bretthorst PDF Download<div dir="ltr" style="text-align: left;" trbidi="on"><a href="http://ecx.images-amazon.com/images/I/41MZRPr2JEL._SX346_BO1,204,203,200_.jpg" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" src="http://ecx.images-amazon.com/images/I/41MZRPr2JEL._SX346_BO1,204,203,200_.jpg" height="320" width="204" /></a> Going beyond the conventional mathematics of probability theory, this study views the subject in a wider context. It discusses new results, along with applications of probability theory to a variety of problems. The book contains many exercises and is suitable for use as a textbook on graduate-level courses involving data analysis. Aimed at readers already familiar with applied mathematics at an advanced undergraduate level or higher, it is of interest to scientists concerned with inference from incomplete information.<br /><br /><a href="http://sh.st/v9X2o" target="_blank">Download</a></div>Scotthttp://www.blogger.com/profile/18374120619122253208noreply@blogger.com0tag:blogger.com,1999:blog-4544273881794401338.post-38805798566851911002015-09-13T23:33:00.002-07:002015-09-13T23:33:59.154-07:00Algebraic Geometry and Arithmetic Curves by Qing Liu PDF Download<div dir="ltr" style="text-align: left;" trbidi="on"><a href="http://ecx.images-amazon.com/images/I/41q9-Sr3zSL._SX331_BO1,204,203,200_.jpg" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" src="http://ecx.images-amazon.com/images/I/41q9-Sr3zSL._SX331_BO1,204,203,200_.jpg" height="320" width="204" /></a> This new-in-paperback edition provides a general introduction to algebraic and arithmetic geometry, starting with the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves. The first part introduces basic objects such as schemes, morphisms, base change, local properties (normality, regularity, Zariski's Main Theorem) This is followed by the more global aspect: coherent sheaves and a finiteness theorem for their cohomology groups. Then follows a chapter on sheaves of differentials, dualizing sheaves, and Grothendieck's duality theory. The first part ends with the theorem of Riemann-Roch and its application to the study of smooth projective curves over a field. Singular curves are treated through a detailed study of the Picard group. The second part starts with blowing-ups and desingularization (embedded or not) of fibered surfaces over a Dedekind ring that leads on to intersection theory on arithmetic surfaces. Castelnuovo's criterion is proved and also the existence of the minimal regular model. This leads to the study of reduction of algebraic curves. The case of elliptic curves is studied in detail. The book concludes with the fundamental theorem of stable reduction of Deligne-Mumford. This book is essentially self-contained, including the necessary material on commutative algebra. The prerequisites are few, and including many examples and approximately 600 exercises, the book is ideal for graduate students.<br /><br /> <a href="http://sh.st/vMmkV" target="_blank">Download</a></div>Scotthttp://www.blogger.com/profile/18374120619122253208noreply@blogger.com0tag:blogger.com,1999:blog-4544273881794401338.post-24023903292856247322015-09-13T23:26:00.001-07:002015-09-13T23:26:57.305-07:00 An Invitation to Algebraic Geometry by Karen Smith PDF Download<div dir="ltr" style="text-align: left;" trbidi="on"><a href="http://ecx.images-amazon.com/images/I/411Fj0LUKcL._SX324_BO1,204,203,200_.jpg" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" src="http://ecx.images-amazon.com/images/I/411Fj0LUKcL._SX324_BO1,204,203,200_.jpg" height="320" width="204" /></a> This is a description of the underlying principles of algebraic geometry, some of its important developments in the twentieth century, and some of the problems that occupy its practitioners today. It is intended for the working or the aspiring mathematician who is unfamiliar with algebraic geometry but wishes to gain an appreciation of its foundations and its goals with a minimum of prerequisites. Few algebraic prerequisites are presumed beyond a basic course in linear algebra.<br /><br /><a href="http://sh.st/vMn7G" target="_blank">Download</a></div>Scotthttp://www.blogger.com/profile/18374120619122253208noreply@blogger.com0tag:blogger.com,1999:blog-4544273881794401338.post-79971002823814306892015-09-13T23:21:00.003-07:002015-09-13T23:21:48.573-07:00Principles of Algebraic Geometry by Phillip Griffiths and Joseph Harris PDF Download<div dir="ltr" style="text-align: left;" trbidi="on"><a href="http://ecx.images-amazon.com/images/I/418gBRrCKqL._SX329_BO1,204,203,200_.jpg" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" src="http://ecx.images-amazon.com/images/I/418gBRrCKqL._SX329_BO1,204,203,200_.jpg" height="320" width="204" /></a> This is the newly revised and expanded edition of the most suitable textbook for introducing undergraduate students in computer science and mathematics to the design of geometry algorithms. Such algorithms lie at the core of a variety of practical areas, including 3D game program design, geographical information systems, manufacturing design, and robotics. The self-contained treatment presumes only an elementary knowledge of mathematics, but reaches topics on the frontier of current research. Thus, though it is designed for a course at the advanced undergraduate level, it can be used for graduate courses as well. Numerous exercises are provided at the end of every section; a partial solutions manual is available.A novel aspect of the book is the inclusion of working computer programs for many of the algorithms. Students will enjoy the interplay between practical programming issues and the latest theoretical developments; many student projects can be built on the provided code.<br /><br /><a href="http://sh.st/vMnKC" target="_blank">Download</a></div>Scotthttp://www.blogger.com/profile/18374120619122253208noreply@blogger.com0tag:blogger.com,1999:blog-4544273881794401338.post-31869904002390634052015-09-13T23:14:00.002-07:002015-09-13T23:14:42.644-07:00CRC Standard Mathematical Tables and Formulae, 32nd Edition PDF Download<div dir="ltr" style="text-align: left;" trbidi="on"><a href="http://ecx.images-amazon.com/images/I/51U6A5CNa9L._SX327_BO1,204,203,200_.jpg" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" src="http://ecx.images-amazon.com/images/I/51U6A5CNa9L._SX327_BO1,204,203,200_.jpg" height="320" width="204" /></a> With over 6,000 entries, <b>CRC Standard Mathematical Tables and Formulae, 32nd Edition</b> continues to provide essential formulas, tables, figures, and descriptions, including many diagrams, group tables, and integrals not available online. This new edition incorporates important topics that are unfamiliar to some readers, such as visual proofs and sequences, and illustrates how mathematical information is interpreted. Material is presented in a multisectional format, with each section containing a valuable collection of fundamental tabular and expository reference material.<br /><br /><a href="http://sh.st/vMnx5" target="_blank">Download</a></div>Scotthttp://www.blogger.com/profile/18374120619122253208noreply@blogger.com1tag:blogger.com,1999:blog-4544273881794401338.post-79631344176033169662015-09-13T22:31:00.002-07:002015-09-13T22:31:53.653-07:00A Course in Model Theory: An Introduction to Contemporary Mathematical Logic by Bruno Poizat PDF Download<div dir="ltr" style="text-align: left;" trbidi="on"><a href="http://ecx.images-amazon.com/images/I/41u%2BcPyi90L._SX328_BO1,204,203,200_.jpg" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" src="http://ecx.images-amazon.com/images/I/41u%2BcPyi90L._SX328_BO1,204,203,200_.jpg" height="320" width="204" /></a> Translated from the French, this book is an introduction to first-order model theory. Starting from scratch, it quickly reaches the essentials, namely, the back-and-forth method and compactness, which are illustrated with examples taken from algebra. It also introduces logic via the study of the models of arithmetic, and it gives complete but accessible exposition of stability theory.<br /><br /><a href="http://sh.st/vMv5A" target="_blank">Download</a></div>Scotthttp://www.blogger.com/profile/18374120619122253208noreply@blogger.com0tag:blogger.com,1999:blog-4544273881794401338.post-91371426491254117182015-09-13T22:23:00.000-07:002015-09-13T22:23:01.037-07:00 A Shorter Model Theory 1st Edition by Wilfrid Hodges PDF Dowonload<div dir="ltr" style="text-align: left;" trbidi="on"><a href="http://ecx.images-amazon.com/images/I/41-gxvAR6%2BL._SX319_BO1,204,203,200_.jpg" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" src="http://ecx.images-amazon.com/images/I/41-gxvAR6%2BL._SX319_BO1,204,203,200_.jpg" height="320" width="204" /></a> This is an up-to-date textbook of model theory taking the reader from first definitions to Morley's theorem and the elementary parts of stability theory. Besides standard results such as the compactness and omitting types theorems, it also describes various links with algebra, including the Skolem-Tarski method of quantifier elimination, model completeness, automorphism groups and omega-categoricity, ultraproducts, O-minimality and structures of finite Morley rank. The material on back-and-forth equivalences, interpretations and zero-one laws can serve as an introduction to applications of model theory in computer science. Each chapter finishes with a brief commentary on the literature and suggestions for further reading. This book will benefit graduate students with an interest in model theory.<br /><br /><a href="http://sh.st/vMvSP" target="_blank">Download</a></div>Scotthttp://www.blogger.com/profile/18374120619122253208noreply@blogger.com0tag:blogger.com,1999:blog-4544273881794401338.post-3466437135896502622015-09-13T22:17:00.000-07:002015-09-13T22:17:00.131-07:00Model Theory: Third Edition by C.C. Chang PDF Download<div dir="ltr" style="text-align: left;" trbidi="on"><a href="http://ecx.images-amazon.com/images/I/51llUbu53DL._SX332_BO1,204,203,200_.jpg" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" src="http://ecx.images-amazon.com/images/I/51llUbu53DL._SX332_BO1,204,203,200_.jpg" height="320" width="204" /></a> Model theory deals with a branch of mathematical logic showing connections between a formal language and its interpretations or models. This is the first and most successful textbook in logical model theory. Extensively updated and corrected in 1990 to accommodate developments in model theoretic methods — including classification theory and nonstandard analysis — the third edition added entirely new sections, exercises, and references.<br />Each chapter introduces an individual method and discusses specific applications. Basic methods of constructing models include constants, elementary chains, Skolem functions, indiscernibles, ultraproducts, and special models. The final chapters present more advanced topics that feature a combination of several methods. This classic treatment covers most aspects of first-order model theory and many of its applications to algebra and set theory.<br /><br /><a href="http://sh.st/vMvQs" target="_blank">Download</a></div>Scotthttp://www.blogger.com/profile/18374120619122253208noreply@blogger.com0tag:blogger.com,1999:blog-4544273881794401338.post-41257359633782786842015-09-13T21:50:00.003-07:002015-09-13T21:50:44.097-07:00 Book of Proof Revised Edition by Richard Hammack PDF Download<div dir="ltr" style="text-align: left;" trbidi="on"><a href="http://ecx.images-amazon.com/images/I/41ONQ82bmGL._SX348_BO1,204,203,200_.jpg" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" src="http://ecx.images-amazon.com/images/I/41ONQ82bmGL._SX348_BO1,204,203,200_.jpg" height="320" width="204" /></a> This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity. Topics include sets, logic, counting, methods of conditional and non-conditional proof, disproof, induction, relations, functions and infinite cardinality.<br /><br /><a href="http://sh.st/vMcEJ" target="_blank">Download</a></div>Scotthttp://www.blogger.com/profile/18374120619122253208noreply@blogger.com0tag:blogger.com,1999:blog-4544273881794401338.post-61461228920489297252015-09-13T21:39:00.000-07:002015-09-13T21:39:05.512-07:00Theory of Sets by E. Kamke PDF Download<div dir="ltr" style="text-align: left;" trbidi="on"><a href="http://ecx.images-amazon.com/images/I/41IfXkleQcL._SY344_BO1,204,203,200_.jpg" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" src="http://ecx.images-amazon.com/images/I/41IfXkleQcL._SY344_BO1,204,203,200_.jpg" height="320" width="204" /></a> This simple introductory treatment emphasizes fundamentals and is easily comprehensible to readers with some college algebra. Topics include rudiments; arbitrary sets and their cardinal numbers; ordered sets and their ordered types; and well-ordered sets and their ordinal numbers. "Exceptionally well written." — <i>School Science and Mathematics.</i> "A very fine book."<br /><br /><a href="http://sh.st/vMcua" target="_blank">Download</a></div>Scotthttp://www.blogger.com/profile/18374120619122253208noreply@blogger.com1tag:blogger.com,1999:blog-4544273881794401338.post-79218001131449296382015-09-13T21:32:00.001-07:002015-09-13T21:32:18.903-07:00The Philosophy of Set Theory: An Historical Introduction to Cantor's Paradise<div dir="ltr" style="text-align: left;" trbidi="on"><a href="http://ecx.images-amazon.com/images/I/511XR-EEG3L._SX322_BO1,204,203,200_.jpg" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" src="http://ecx.images-amazon.com/images/I/511XR-EEG3L._SX322_BO1,204,203,200_.jpg" height="320" width="204" /></a> 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 mathematical thought, forming the beginning of set theory and the foundation for most of contemporary mathematics.<br />As Cantor's sometime collaborator, David Hilbert, remarked, "No one will drive us from the paradise that Cantor has created." This volume offers a guided tour of modern mathematics' Garden of Eden, beginning with perspectives on the finite universe and classes and Aristotelian logic. Author Mary Tiles further examines permutations, combinations, and infinite cardinalities; numbering the continuum; Cantor's transfinite paradise; axiomatic set theory; logical objects and logical types; and independence results and the universe of sets. She concludes with views of the constructs and reality of mathematical structure.<br /><br /><a href="http://sh.st/vMx3k" target="_blank">Download</a></div>Scotthttp://www.blogger.com/profile/18374120619122253208noreply@blogger.com0tag:blogger.com,1999:blog-4544273881794401338.post-55806827011483387952015-09-13T21:17:00.000-07:002015-09-13T21:17:16.351-07:00Set Theory An Introduction To Independence Proofs by Kenneth Kunen PDF Download<div dir="ltr" style="text-align: left;" trbidi="on"><a href="http://ecx.images-amazon.com/images/I/41f3eqQRTqL._SX331_BO1,204,203,200_.jpg" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" src="http://ecx.images-amazon.com/images/I/41f3eqQRTqL._SX331_BO1,204,203,200_.jpg" height="320" width="204" /></a> Studies in Logic and the Foundations of Mathematics, Volume 102: Set Theory: An Introduction to Independence Proofs offers an introduction to relative consistency proofs in axiomatic set theory, including combinatorics, sets, trees, and forcing.<br /><br />The book first tackles the foundations of set theory and infinitary combinatorics. Discussions focus on the Suslin problem, Martin's axiom, almost disjoint and quasi-disjoint sets, trees, extensionality and comprehension, relations, functions, and well-ordering, ordinals, cardinals, and real numbers. The manuscript then ponders on well-founded sets and easy consistency proofs, including relativization, absoluteness, reflection theorems, properties of well-founded sets, and induction and recursion on well-founded relations. The publication examines constructible sets, forcing, and iterated forcing. Topics include Easton forcing, general iterated forcing, Cohen model, forcing with partial functions of larger cardinality, forcing with finite partial functions, and general extensions.<br /><br /><a href="http://sh.st/vMxb9" target="_blank">Download</a></div>Scotthttp://www.blogger.com/profile/18374120619122253208noreply@blogger.com0tag:blogger.com,1999:blog-4544273881794401338.post-15428765955217975152015-09-13T21:10:00.002-07:002015-09-13T21:10:22.779-07:00A Course on Set Theory by Ernest Schimmerling PDF Download<div dir="ltr" style="text-align: left;" trbidi="on"><a href="http://ecx.images-amazon.com/images/I/31r4LxHLtNL._SX331_BO1,204,203,200_.jpg" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" src="http://ecx.images-amazon.com/images/I/31r4LxHLtNL._SX331_BO1,204,203,200_.jpg" height="320" width="204" /></a> Set theory is the mathematics of infinity and part of the core curriculum for mathematics majors. This book blends theory and connections with other parts of mathematics so that readers can understand the place of set theory within the wider context. Beginning with the theoretical fundamentals, the author proceeds to illustrate applications to topology, analysis and combinatorics, as well as to pure set theory. Concepts such as Boolean algebras, trees, games, dense linear orderings, ideals, filters and club and stationary sets are also developed. Pitched specifically at undergraduate students, the approach is neither esoteric nor encyclopedic. The author, an experienced instructor, includes motivating examples and over 100 exercises designed for homework assignments, reviews and exams. It is appropriate for undergraduates as a course textbook or for self-study. Graduate students and researchers will also find it useful as a refresher or to solidify their understanding of basic set theory.<br /><br /><a href="http://sh.st/vMxo4" target="_blank">Download</a></div>Scotthttp://www.blogger.com/profile/18374120619122253208noreply@blogger.com0tag:blogger.com,1999:blog-4544273881794401338.post-79767884897533156362015-09-13T21:00:00.000-07:002015-09-13T21:00:27.450-07:00Set Theory and the Continuum Hypothesis by Cohen PDF Download<div dir="ltr" style="text-align: left;" trbidi="on"><a href="http://ecx.images-amazon.com/images/I/41VGKsRhGuL._SX329_BO1,204,203,200_.jpg" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" src="http://ecx.images-amazon.com/images/I/41VGKsRhGuL._SX329_BO1,204,203,200_.jpg" height="320" width="204" /></a> This exploration of a notorious mathematical problem is the work of the man who discovered the solution. The independence of the continuum hypothesis is the focus of this study by Paul J. Cohen. It presents not only an accessible technical explanation of the author's landmark proof but also a fine introduction to mathematical logic. An emeritus professor of mathematics at Stanford University, Dr. Cohen won two of the most prestigious awards in mathematics: in 1964, he was awarded the American Mathematical Society's Bôcher Prize for analysis; and in 1966, he received the Fields Medal for Logic.<br /><br /><a href="http://sh.st/vMzMp" target="_blank">Download</a></div>Scotthttp://www.blogger.com/profile/18374120619122253208noreply@blogger.com0