Mathematics Commons^™

Discrete Math For Computer Science - Chapter 14: Summations, Houman Kamran Habibkhani

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Discrete Math For Computer Science - Chapter 19: Number Representation, Houman Kamran Habibkhani

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Discrete Math For Computer Science - Chapter 27: Paths And Cycles: Graph Connectivity, Houman Kamran Habibkhani

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Discrete Math For Computer Science - Chapter 28: Introduction To Trees: Properties Of Trees, Houman Kamran Habibkhani

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Discrete Math For Computer Science - Chapter 29: Tree Traversals: Spanning Trees, Houman Kamran Habibkhani

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Discrete Math For Computer Science - Chapter 3: Predicates And Quantifiers: Quantified Statements, Houman Kamran Habibkhani

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Discrete Math For Computer Science - Chapter 1: Proposition, Logical Operations, And Conditional Statements, Houman Kamran Habibkhani

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Discrete Math For Computer Science - Chapter 22: Counting By Complement: Permutations With Repetitions: Inclusion/Exclusion Principle, Houman Kamran Habibkhani

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Discrete Math For Computer Science - Chapter 20: Sum And Product Rules, Houman Kamran Habibkhani

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Discrete Math For Computer Science - Chapter 25: Conditional Probability And Independence, Houman Kamran Habibkhani

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Discrete Math For Computer Science - Chapter 24: Unions And Complements Of Events, Houman Kamran Habibkhani

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Discrete Math For Computer Science - Chapter 17: The Division Algorithm: Modular Arithmetic, Houman Kamran Habibkhani

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Discrete Math For Computer Science - Chapter 23: Probability Of An Event, Houman Kamran Habibkhani

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Discrete Math For Computer Science - Chapter 12: Introduction To Binary Relations, Houman Kamran Habibkhani

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Discrete Math For Computer Science - Chapter 21: Counting Permutations And Subsets, Houman Kamran Habibkhani

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Discrete Math For Computer Science - Chapter 18: Prime Factorization: Gcd And Euclid’S Algorithm, Houman Kamran Habibkhani

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Discrete Math For Computer Science - Chapter 9: Cartesian Products, Houman Kamran Habibkhani

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Discrete Math For Computer Science - Chapter 10: Definition Of Functions: Properties Of Functions, Houman Kamran Habibkhani

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Discrete Math For Computer Science - Chapter 6: Proofs By Contradiction: Proofs By Cases, Houman Kamran Habibkhani

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Discrete Math For Computer Science - Chapter 5: Direct Proofs: Proofs By Contrapositive, Houman Kamran Habibkhani

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Discrete Math For Computer Science - Chapter 7: Sets And Subsets: Set Of Sets, Houman Kamran Habibkhani

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Euler Archive Spotlight: Ed Sandifer's Influence, Erik Tou

Euleriana

The Euler Archive owes its existence to the work and enthusiasm of C. Edward Sandifer. In this issue, we give a history of Ed's work and influence on the creation and growth of the Euler Archive.

Translating Scientific Latin Texts With Artificial Intelligence: The Works Of Euler And Contemporaries, Sylvio R. Bistafa

Euleriana

The major hindrance in the study of earlier scientific literature is the availability of Latin translations into modern languages. This is particularly true for the works of Euler who authored about 850 manuscripts and wrote a thousand letters and received back almost two thousand more. The translation of many of these manuscripts, books and letters have been published in various sources over the last two centuries, but many more have not yet appeared. Fortunately, nowadays, artificial intelligence (AI) translation can be used to circumvent the challenges of translating such substantial number of texts. To validate this tool, benchmark tests have …

On The Vibration Of Strings: An English Translation Of Leonhard Euler’S `Sur La Vibration Des Cordes' (E140), Reilly R. Fortune

Euleriana

We present an English translation of E140 - 'Sur la Vibration des cordes.'

About The Cases In Which The Formula X^4+Mxxyy+Y^4 Can Be Reduced To A Square, Georg Ehlers

Euleriana

Euler continues a previous study on the title Quartic (E696) with a new approach. His starting point here is the observation that, when the title Quartic is solved for m, the resulting fraction becomes an integer when z=ax^2y^2-(x^2±y^2). He provides many quadratic forms for m that allow special solutions, and tables for |m|≤200. Even though the tables are known today to be incomplete, they allow an insight into the enormous amount of work that was needed for their compilation.

The interest in the title Quartic predates Euler, and the fact that he resumed the study indicates a …

Ed Sandifer: A Running Mathematician And Mathematical Runner, Rick Cleary

Euleriana

Historian of mathematics C. Edward Sandifer was an outstanding marathon runner as well as a first rate mathematician. This note is a review of Prof. Sandifer's athletic successes, and a look at the attributes that he brought to both his professional and running careers.

How Ed Did It - A Memorial Conference To Honor Ed Sandifer, Lawrence D'Antonio

Euleriana

I look back at the virtual conference from February 2023 that was organized to honor the memory of the historian of mathematics Ed Sandifer, who had died in August 2022. The program of the conference is given at the end of the article.

Looking Back And Looking Forward, Christopher Goff, Erik Tou

Euleriana

An introduction to the contents in Issue 2, Volume 4 of Euleriana.

Math 75: Introduction To Linear Algebra, Sarah K. Merz

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This text is intended to use in a first course of Linear Algebra with a prerequisite of Calculus 1. Topics covered include systems of linear equations, matrix operations and inverses, linear transformations, Markov chains, determinants, eigenvalues and eigenvectors, diagonalization, vector geometry, projections and planes, homogeneous coordinates, subspaces, spanning sets, linear independence, orthogonality, fundamental subspaces, and least squares.

Euler Archive Spotlight: Multiple Search Options, Christopher Goff

Euleriana

The Euler Archive houses PDF versions of almost all of Euler's original publications. While most visitors search the archive via a work's Eneström number, the Archive can be searched via source publication name, date written, or decade of publication. The Archive also provides context for Euler's publications through short pieces of historical information.