• Study Resource
  • Explore
    • Arts & Humanities
    • Business
    • Engineering & Technology
    • Foreign Language
    • History
    • Math
    • Science
    • Social Science

    Top subcategories

    • Advanced Math
    • Algebra
    • Basic Math
    • Calculus
    • Geometry
    • Linear Algebra
    • Pre-Algebra
    • Pre-Calculus
    • Statistics And Probability
    • Trigonometry
    • other →

    Top subcategories

    • Astronomy
    • Astrophysics
    • Biology
    • Chemistry
    • Earth Science
    • Environmental Science
    • Health Science
    • Physics
    • other →

    Top subcategories

    • Anthropology
    • Law
    • Political Science
    • Psychology
    • Sociology
    • other →

    Top subcategories

    • Accounting
    • Economics
    • Finance
    • Management
    • other →

    Top subcategories

    • Aerospace Engineering
    • Bioengineering
    • Chemical Engineering
    • Civil Engineering
    • Computer Science
    • Electrical Engineering
    • Industrial Engineering
    • Mechanical Engineering
    • Web Design
    • other →

    Top subcategories

    • Architecture
    • Communications
    • English
    • Gender Studies
    • Music
    • Performing Arts
    • Philosophy
    • Religious Studies
    • Writing
    • other →

    Top subcategories

    • Ancient History
    • European History
    • US History
    • World History
    • other →

    Top subcategories

    • Croatian
    • Czech
    • Finnish
    • Greek
    • Hindi
    • Japanese
    • Korean
    • Persian
    • Swedish
    • Turkish
    • other →
 
Profile Documents Logout
Upload
A , B
A , B

Decision Procedures for Flat Array Properties
Decision Procedures for Flat Array Properties

Algebra Ready & 7 3 1
Algebra Ready & 7 3 1

A Geometric Proof that e is Irrational and a New
A Geometric Proof that e is Irrational and a New

2.5-updated - WordPress.com
2.5-updated - WordPress.com

on partially conservative sentences and interpretability
on partially conservative sentences and interpretability

Patterns - UNL Math Department
Patterns - UNL Math Department

PowerPoint file for CSL 02, Edinburgh, UK
PowerPoint file for CSL 02, Edinburgh, UK

Graphs of tan, cot, csc, and sec Functions
Graphs of tan, cot, csc, and sec Functions

MATH 225A PROBLEMS OCTOBER 2, 2012 (1)
MATH 225A PROBLEMS OCTOBER 2, 2012 (1)

... (i) Show that T rL/K : L × L → K; (x, y) 7→ T rL/K (xy) is a non-degenerate, symmetric, K-bilinear form on L. (ii) Show that the map T rL/K : L → K; x 7→ T rL/K (x) is surjective. (Hint for both (i) and (ii): Artin’s theorem on linear independence of characters.) (4) Suppose that K is a number field ...
A GENERALIZATION OF FIBONACCI FAR
A GENERALIZATION OF FIBONACCI FAR

Chapter 2 Polynomial and Rational Functions
Chapter 2 Polynomial and Rational Functions

Relations and Functions
Relations and Functions

... f(x) means function of x and is read “f of x.” f(x) = 2x + 1 is written in function notation. The notation f(1) means to replace x with 1 resulting in the function value. f(1) = 2x + 1 ...
1. Sets, relations and functions. 1.1. Set theory. We assume the
1. Sets, relations and functions. 1.1. Set theory. We assume the

Relations and Functions
Relations and Functions

... f(x) means function of x and is read “f of x.” f(x) = 2x + 1 is written in function notation. The notation f(1) means to replace x with 1 resulting in the function value. f(1) = 2x + 1 ...
PPT
PPT

Lecture Notes on Elements of Discrete Mathematics: Sets, Functions
Lecture Notes on Elements of Discrete Mathematics: Sets, Functions

Section 7.2 The Calculus of Complex Functions
Section 7.2 The Calculus of Complex Functions

Notes on Infinite Sets
Notes on Infinite Sets

1 Enumerability - George Belic Philosophy
1 Enumerability - George Belic Philosophy

Chapter 2 ELEMENTARY SET THEORY
Chapter 2 ELEMENTARY SET THEORY

file
file

... The prior discussion may already have helped some students to identify the rule is ‘6, +1’ and so it is relatively easy to work out A = 25, B = −17 (although a common misconception would be −19, with students subtracting the 1 rather than adding) and C = 1. Ask students their methods for finding th ...
Bridging Units: Resource Pocket 2
Bridging Units: Resource Pocket 2

On Integer Numbers with Locally Smallest Order of
On Integer Numbers with Locally Smallest Order of

What is a Function?
What is a Function?

< 1 ... 52 53 54 55 56 57 58 59 60 ... 132 >

Non-standard calculus

In mathematics, non-standard calculus is the modern application of infinitesimals, in the sense of non-standard analysis, to differential and integral calculus. It provides a rigorous justification for some arguments in calculus that were previously considered merely heuristic.Calculations with infinitesimals were widely used before Karl Weierstrass sought to replace them with the (ε, δ)-definition of limit starting in the 1870s. (See history of calculus.) For almost one hundred years thereafter, mathematicians like Richard Courant viewed infinitesimals as being naive and vague or meaningless.Contrary to such views, Abraham Robinson showed in 1960 that infinitesimals are precise, clear, and meaningful, building upon work by Edwin Hewitt and Jerzy Łoś. According to Jerome Keisler, ""Robinson solved a three hundred year old problem by giving a precise treatment of infinitesimals. Robinson's achievement will probably rank as one of the major mathematical advances of the twentieth century.""
  • studyres.com © 2025
  • DMCA
  • Privacy
  • Terms
  • Report