Set Theory And Its Applications In Physics And Computing
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A01=Yair Shapira
Algorithm
Author_Yair Shapira
Axiom of Choice
Banach
Bifurcation
Binary
Binom
Binomial
Binomial Formula
Bit
C++
Cantor Set
Cardinality
Category=PBCH
Category=PHU
Chaos
Classical Mechanics
Code
Coding
Complete Order
Computational
Computing
Contraction
Coprime
Countable
Cryptography
Decoding
Differentiable Manifold
Einstein
Encoding
Entangle
Entangled
Entanglement
Entropy
eq_bestseller
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
eq_non-fiction
eq_science
Error Correction
Factoring
Feynman Diagram
FFT
Finite Element
Finite Set
Fourier
Function
Group Testing
Hadamard
Han
Homomorphism
Infinite Set
Infinity
Instability
Isomorphism
Key Exchange
Mathematical Equivalence
Mathematical Induction
Maxwell Equations
Mechanics
Natural Number
Newton Binomial
Nonlinear Maxwell
Nonprime
Normal Coordinates
Null Set
Olbers
Order
Ordinal
Parity
Partial Order
Pascal Triangle
Physics
Pigeon Principle
Poincare
Pool Testing
Pooled Testing
Pooling
Power Set
Prime
Probably Prime
Programming
Quantum
Quantum Algorithm
Quantum FFT
Quaternary
Qubit
Reed Solomon
Riemann
Russel Paradox
Set Theory
Spacetime
Stability
Strict Order
Subset
Tensor
Transfinite
Transform
Tree
Trinom
Trinomial
Trinomial Formula
Uncountable
Well Order
Zorn
Zorn Lemma
Product details
- ISBN 9789811261770
- Publication Date: 20 Jul 2022
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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Why learn set theory? This book provides the answer — it is interesting, and also useful! Taking a new approach and looking from a fresh perspective, the discussion flows in a friendly and transparent way, supplemented with a lot of examples and figures. This makes the theory easily comprehensible: the proofs get vivid and visual, enveloped with interesting applications for students in (applied) math, physics, and engineering. Given the theory and the applications, the book could serve as a textbook in four (undergraduate) math courses: Introduction to set theory and its application; Chaos theory and stability — a geometrical point of view; Functional analysis — Han-Banach theory; and Cryptography with quantum computing. It teaches set theory from the basics, including the axiom of choice, the well ordering theorem, and Zorn's lemma. Furthermore, it uses Cantor's set to introduce chaos theory from a geometrical point of view. Moreover, it introduces the binomial formula (and other related formulas), and uses them in quantum statistical mechanics. And finally, it uses Zorn's lemma in functional analysis, general relativity, and quantum mechanics. There are also practical applications in cryptography, error correction, quantum computing and programming.
