Foundations Of College Mathematics 1 PDF Download
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Author | : James Fulton |
Publisher | : |
Total Pages | : 372 |
Release | : 2017-08-07 |
Genre | : |
ISBN | : 9781548160708 |
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This book is for a basic introduction to the prerequisite mathematics needed for college level math and science courses.
Author | : Pearson Custom Publishing |
Publisher | : |
Total Pages | : 54 |
Release | : 1997-09 |
Genre | : |
ISBN | : 9780536004307 |
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Author | : Lial |
Publisher | : |
Total Pages | : 775 |
Release | : 1999-05 |
Genre | : Algebra |
ISBN | : 9780201388091 |
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Author | : Edward D. Laughbaum |
Publisher | : |
Total Pages | : 726 |
Release | : 2000-09 |
Genre | : Equations, Quadratic |
ISBN | : 9780981753607 |
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Author | : Lial |
Publisher | : Addison Wesley Longman |
Total Pages | : 800 |
Release | : 1997-08 |
Genre | : Mathematics |
ISBN | : 9780201304817 |
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Author | : James Fulton |
Publisher | : |
Total Pages | : 422 |
Release | : 2018-07-20 |
Genre | : |
ISBN | : 9781723483073 |
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This book is for a basic introduction to the prerequisite mathematics needed for college level math and science courses.
Author | : Kenneth Kunen |
Publisher | : |
Total Pages | : 251 |
Release | : 2009 |
Genre | : Mathematics |
ISBN | : 9781904987147 |
Download The Foundations of Mathematics Book in PDF, ePub and Kindle
Mathematical logic grew out of philosophical questions regarding the foundations of mathematics, but logic has now outgrown its philosophical roots, and has become an integral part of mathematics in general. This book is designed for students who plan to specialize in logic, as well as for those who are interested in the applications of logic to other areas of mathematics. Used as a text, it could form the basis of a beginning graduate-level course. There are three main chapters: Set Theory, Model Theory, and Recursion Theory. The Set Theory chapter describes the set-theoretic foundations of all of mathematics, based on the ZFC axioms. It also covers technical results about the Axiom of Choice, well-orderings, and the theory of uncountable cardinals. The Model Theory chapter discusses predicate logic and formal proofs, and covers the Completeness, Compactness, and Lowenheim-Skolem Theorems, elementary submodels, model completeness, and applications to algebra. This chapter also continues the foundational issues begun in the set theory chapter. Mathematics can now be viewed as formal proofs from ZFC. Also, model theory leads to models of set theory. This includes a discussion of absoluteness, and an analysis of models such as H( ) and R( ). The Recursion Theory chapter develops some basic facts about computable functions, and uses them to prove a number of results of foundational importance; in particular, Church's theorem on the undecidability of logical consequence, the incompleteness theorems of Godel, and Tarski's theorem on the non-definability of truth.
Author | : Jeffrey Humpherys |
Publisher | : SIAM |
Total Pages | : 710 |
Release | : 2017-07-07 |
Genre | : Mathematics |
ISBN | : 1611974895 |
Download Foundations of Applied Mathematics, Volume I Book in PDF, ePub and Kindle
This book provides the essential foundations of both linear and nonlinear analysis necessary for understanding and working in twenty-first century applied and computational mathematics. In addition to the standard topics, this text includes several key concepts of modern applied mathematical analysis that should be, but are not typically, included in advanced undergraduate and beginning graduate mathematics curricula. This material is the introductory foundation upon which algorithm analysis, optimization, probability, statistics, differential equations, machine learning, and control theory are built. When used in concert with the free supplemental lab materials, this text teaches students both the theory and the computational practice of modern mathematical analysis. Foundations of Applied Mathematics, Volume 1: Mathematical Analysis includes several key topics not usually treated in courses at this level, such as uniform contraction mappings, the continuous linear extension theorem, Daniell?Lebesgue integration, resolvents, spectral resolution theory, and pseudospectra. Ideas are developed in a mathematically rigorous way and students are provided with powerful tools and beautiful ideas that yield a number of nice proofs, all of which contribute to a deep understanding of advanced analysis and linear algebra. Carefully thought out exercises and examples are built on each other to reinforce and retain concepts and ideas and to achieve greater depth. Associated lab materials are available that expose students to applications and numerical computation and reinforce the theoretical ideas taught in the text. The text and labs combine to make students technically proficient and to answer the age-old question, "When am I going to use this?
Author | : Kysh |
Publisher | : |
Total Pages | : 0 |
Release | : 2002-06 |
Genre | : Algebra |
ISBN | : 9781931287029 |
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Author | : Raymond L. Wilder |
Publisher | : Courier Corporation |
Total Pages | : 352 |
Release | : 2013-09-26 |
Genre | : Mathematics |
ISBN | : 0486276201 |
Download Introduction to the Foundations of Mathematics Book in PDF, ePub and Kindle
Classic undergraduate text acquaints students with fundamental concepts and methods of mathematics. Topics include axiomatic method, set theory, infinite sets, groups, intuitionism, formal systems, mathematical logic, and much more. 1965 second edition.