Automorphic Green's Functions on Spin Shimura Varieties and Kummer Periods - 17/05/2024
Explore automorphic Green's functions on spin Shimura varieties and their connection to motivic cohomology classes, with insights into Birch-Swinnerton-Dyer and Beilinson-Bloch conjectures.
Logic and Decidability in Programming Languages - Session Preview II
Explore logic and decidability in programming languages. Gain insights into theories of arithmetic, linear real rings, and state machines. Discover new minimization algorithms and their applications.
How to Learn Basic Arithmetic Fast - Online Tutorial Lessons
Comprehensive tutorial covering basic arithmetic operations, fractions, percentages, exponents, and algebraic concepts. Includes practice problems and mental math techniques for rapid skill improvement.
Mental Math Tricks - Addition, Subtraction, Multiplication & Division
Learn quick mental math techniques for basic arithmetic operations, enhancing calculation speed and accuracy without relying on calculators.
How to Do Maths Without a Calculator - With Rob Eastaway
Explore quick estimation techniques for everyday math problems without a calculator. Learn engaging methods for mental calculations, conversions, and probability assessments with amusing anecdotes and practical tips.
The Power of Mathematical Visualization - The Power of a Mathematical Picture
Discover the power of visual mathematics with Professor James S. Tanton, exploring innovative problem-solving techniques across various mathematical fields through engaging graphics and practical projects.
The Big Mathematics Divide - Between "Exact" and "Approximate" - Sociology and Pure Maths
Explores the divide between exact and approximate theories in pure mathematics, challenging conventional views on arithmetic, algebra, topology, and number theory, including the Riemann Hypothesis.
A Multiset Approach to Arithmetic - Math Foundations
Explore a new framework for arithmetic using multisets, introducing natural numbers, polynumbers, and multinumbers. Learn innovative definitions and operations that offer profound insights into mathematical structures.
Numbers and Arithmetic - Math Terminology
A comprehensive review of fundamental mathematical concepts and terminology for university-level math, covering number systems, arithmetic operations, fractions, and basic number theory.
Arithmetic and Practice Problems with Index Laws - Year 9 Maths - NJ Wildberger
Comprehensive exploration of index laws, covering various bases and practice problems. Enhances understanding through examples and introduces an additional law relating powers with different bases.
Stevin Numbers, Infinitesimals and Complex Numbers - Famous Math Problems
Explore the evolution of decimal numbers, infinitesimals, and complex numbers in mathematics. Delve into Stevin's contributions, calculus challenges, and modern perspectives on real and complex numbers.
Differential Geometry With Finite Fields - Differential Geometry
Exploring differential geometry in finite fields, introducing arithmetic in prime fields, polynomial operations, and tangent conics to cubics. Highlights unique patterns and combinatorial structures in finite calculus.
Sociology and Pure Mathematics - Pure Mathematics Relies on a Fake Arithmetic
Challenges modern pure mathematics' reliance on "fake arithmetic," proposing alternative approaches to calculus without infinite processes and calling for sociological analysis of mathematical practices.
Adding Bigger Sums Using Open Numbers - Elementary Mathematics Explained
Learn a novel approach to adding larger sums using open numbers, focusing on a big end approach. Discover advantages and practice approximating sums by finding ranges for answers.
Making Change by Counting Up - Elementary Mathematics Explained
Learn a simple method for making change by counting up, strengthening mental arithmetic skills without subtraction. Ideal for young students and Monopoly players.
Arithmetic with Money - Elementary Mathematics Explained
Explore arithmetic using money to connect math with the real world. Learn a novel number representation system and understand the "Problem of Carrying" in traditional numerals.
Measuring Weight - Elementary Mathematics Explained
Explore the fundamentals of weight measurement, from ancient techniques to modern systems. Learn about scales, metric units, and practical applications in everyday life and science.
The Realm of Natural Numbers - Data Structures in Mathematics
Explore natural numbers through multisets, examining addition, union, and intersection operations. Discover unique properties, including a new distributive law that forms the basis for tropical calculus.
A New Look at Hindu Arabic Numbers and Their Arithmetic - Data Structures in Math Foundations
Exploring base-10 arithmetic using vexels, extending from binary to decimal systems. Covers addition, multiplication, and Hindu-Arabic numerals, providing insights into foundational mathematics.
The Hindu Arabic Number System Revisited - Data Structures in Mathematics Math Foundations
Explores three approaches to Hindu Arabic numerals, examining their mathematical foundations and practical applications in arithmetic and number representation.
The Essential Dichotomy Underlying Mathematics - Data Structures Math Foundations
Explore the fundamental dichotomy underlying mathematics, challenging traditional views on natural numbers and geometry to uncover the core essence of mathematical thinking.