Tag Archives: Mathematics

A History of Mathematics in America Before 1900 (Smith)

A History of Mathematics in America Before 1900 (Carus Mathematical Monograph #5; Chicago: Mathematical Association of America with the Open Court Pub. Co., c1934), by David Eugene Smith and Jekuthiel Ginsburg (page images at HathiTrust) New Online Books http://catalog.hathitrust.org/Record/000166499

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A Short History of Greek Mathematics (Gow)

A Short History of Greek Mathematics (Cambridge, UK: At the University Press, 1884), by James Gow (stable link) New Online Books http://onlinebooks.library.upenn.edu/webbin/book//lookupid?key=olbp64630

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Mathematics for Materials Science and Engineers

Mathematics for Materials Science and Engineers Lecture Notes CONTENTS Introduction to Mathematica I-4 Linear Algebra: vectors, matrices, multiplication, inversion and relations to linear systems of equations Uniqueness, Vector Spaces, Rank, Nullity, Geometry and Symmetry Complex numbers and Operations, Euler’s Formula … Continue reading

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Mathematics of Statistics (Kenney)

Mathematics of Statistics (2 volumes (first volume is second edition); New York: D. Van Nostrand, 1947), by John F. Kenney (page images at HathiTrust) New Online Books

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Mathematics of the DFT (Discrete Fourier Transform) with Audio Applications

Mathematics of the DFT (Discrete Fourier Transform) with Audio Applications JULIUS O. SMITH III TOC Introduction to the DFT Complex Numbers Proof of Euler’s Identity Sinusoids and Exponentials Geometric Signal Theory The DFT Derived Fourier Theorems for the DFT DFT … Continue reading

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Mathematics for the Physical Science

Mathematics for the Physical Science TOC Chapter 1 Vector Spaces and Matrices 1.1 Vector Spaces 1.2 Schwarz Inequality and Orthogonal Sets 1.3 Linear Dependence and Independence 1.4 Linear Operators on a Vector Space 1.5 Eigenvalues and Hermitian Operators 1.6 Unitary … Continue reading

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Mathematics for Computer Science

Mathematics for Computer Science Eric Lehman and Tom Leighton 2004 TOC 1 What is a Proof? 1.1 Propositions 1.2 Axioms 1.3 Logical Deductions 1.4 Examples of Proofs 1.4.1 A Tautology 1.4.2 A Proof by Contradiction 2 Induction I 2.1 AWarmup … Continue reading

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Introduction to Finite Mathematics (Kemeny)

Introduction to Finite Mathematics (second and third published editions, with an electronic fourth edition in preparation), by John G. Kemeny, J. Laurie Snell, and Gerald Luther Thompson (PDF files at Dartmouth) New Online Books

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The Fundamentals of Abstract Mathematics – Proof and Concepts

Proofs and Concepts – The Fundamentals of Abstract Mathematics TOC Part I. Introduction to Logic and Proofs 1. What is Logic? 1A. Assertions and deductions 1B. Two ways that deductions can go wrong 1C. Deductive validity 1D. Other logical notions … Continue reading

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