Algebra and arithmetic

Ebook "Advanced number theory" presents the following content: Review of elementary number theory and croup theory; characters; some algebraic concepts; basis theorems; further applications of basis theorems; unique factorization and units; unique factorization into ideals; norms and ideal classes; glass structure in quadratic fields; class number formulas and primes in arithmetic progression; quadratic reciprucity; quadratic forms and ideals; compositions, orders, and genera.
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Ebook "Pre algebra demystified: A self teaching guide" presents the basic topics in arithmetic and introductory algebra in a logical, easytoread format. This book can be used as an independent study course or as a supplement to a prealgebra course. To learn mathematics, you must know the vocabulary, understand the rules and procedures, and be able to apply these rules and procedures to mathematical problems in order to solve them. This book is written in a style that will help you with learning. Important terms have been bold faced, and important rules and procedures have been italicized.
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This book presents the basic concepts of probability in a simple, straightforward, easytounderstand way. It does require, however, a knowledge of arithmetic (fractions, decimals, and percents) and a knowledge of basic algebra (formulas, exponents, order of operations, etc.). If you need a review of these concepts, you can consult another of my books in this series entitled PreAlgebra Demystified.
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The equal symbol has been used in diverse mathematical frameworks, such as arithmetic, algebra, trigonometry, set theory, and so on. In mathematical terms, the equal sign has been used in fixed command of standings. The study reports on the students meaning and interpretations of the equal sign.
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Part 1 book "VLSI architectures for modern errorcorrecting codes" includes content: Finite field arithmetic, VLSI architecture design fundamentals, root computations for polynomials over finite fields, algebraic softdecision ReedSolomon decoder architectures, ReedSolomon encoder and harddecision and erasure decoder architectures, interpolationbased Chase and generalized minimum distance decoders.
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Part 1 book "Introduction to digital systems" includes content: Boolean algebra and combinational logic; combinational network design; numeral systems and binary arithmetic; complements in combinational network design; introduction to sequential networks.
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Part 1 book "Basic engineering mathematics" includes content: Basic arithmetic; fractions, decimals and percentages; indices, standard form and engineering notation; calculations and evaluation of formulae; computer numbering systems; algebra; simple equations; transposition of formulae; simultaneous equations; quadratic equations; inequalities; straight line graphs; graphical solution of equations; logarithms; exponential functions; reduction of nonlinear laws to linearform; graphs with logarithmic scales.
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Ebook "Digital design with CPLD applications and VHDL" includes content: Basic principles of digital systems, logic functions & gates, boolean algebra & combinational logic, combinational logic functions, digital arithmetic & arithmetic circuits, introduction to sequential logic, introduction to programmable logic architectures,... and other contents.
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Part 1 of ebook "The essence of mathematics: Through elementary problems" provides readers with contents including: mental skills; direct and inverse procedures; structural arithmetic; pythagoras' theorem; arithmetic; standard written algorithms; commutative, associative and distributive laws; word problems; algebra; the binary numeral system; simultaneous linear equations and symmetry;...
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The paper extends author’s method of modular distributions to arithmetic automorphic L functions on general classical groups. Main resultat gives a padic interpolation of their critical L values in the form of integrals of distributions constructed from a given eigen function of Hecke algebras by applying BGG modules.
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Part 1 of ebook "Computing handbook: Computer science and software engineering" provides readers with contents including: structure and organization of computing; computational thinking; data structures; basic techniques for design and analysis of algorithms; graph and network algorithms; computational geometry; complexity theory; formal models and computability; cryptography; algebraic algorithms; some practical randomized algorithms and data structures;...
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Part 1 of ebook "Basic engineering mathematics (Fifth edition)" has presents the following content: basic arithmetic; using a calculator; ratio and proportion; powers, roots and laws of indices; units, prefixes and engineering notation; basic algebra; further algebra; solving simple equations; transposing formulae; solving simultaneous equations; solving quadratic equations; exponential functions; straight line graphs; graphs reducing nonlinear laws to linear form; graphical solution of equations; angles and triangles;...
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Part 1 of ebook "Higher engineering mathematics (Sixth edition)" has presents the following content: algebra; partial fractions; logarithms; exponential functions; hyperbolic functions; arithmetic and geometric progressions; the binomial series; maclaurin’s series; solving equations by iterative methods; binary, octal and hexadecimal; introduction to trigonometry; cartesian and polar coordinates; the circle and its properties; trigonometric waveforms;...
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Ebook Digital electronics: Principles, Devices and Applications  Part 1 includes contents: Chapter 6 boolean algebra and simplification techniques, chapter 7 arithmetic circuits, chapter 8 multiplexers and demultiplexers, chapter 9 programmable logic devices, chapter 10 flipflops and related devices, chapter 11 counters and registers, chapter 12 data conversion circuits – D/A and A/D converters, chapter 13 microprocessors, chapter 14 microcontrollers, chapter 15 computer fundamentals, chapter 16 troubleshooting digital circuits and test equipment.
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Handbook of elliptic and hyperelliptic curve cryptography: Part 1 presents the following content: Chapter 1 introduction to publickey cryptography, chapter 2 algebraic background, chapter 3 background on padic numbers, chapter 4 background on curves and jacobians, chapter 5 varieties over special fields, chapter 6 background on pairings, chapter 7 background on weil descent, chapter 8 cohomological backgroundon point counting, chapter 9 exponentiation, chapter 10 integer arithmetic, chapter 11 finite field arithmetic, chapter 12 arithmetic of padic numbers, chapter 13 arithmetic of ellip...
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Handbook of elliptic and hyperelliptic curve cryptography: Part 2 presents the following content: Chapter 16 implementation of pairings, chapter 17 point counting on elliptic and hyperelliptic curves, chapter 18 complex multiplication, chapter 19 generic algorithms for computing discrete logarithms, chapter 20 index calculus, chapter 21 index calculus for hyperelliptic curves, chapter 22 transfer of discrete logarithms, chapter 23 algebraic realizations of DL systems, chapter 24 pairingbased cryptography, chapter 25 compositeness and primality testing factoring, chapter 26 fast arithmetic ...
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This collection of exercises is designed to provide a framework for discussion in a junior level linear algebra class such as the one I have conducted fairly regularly at Portland State University. There is no assigned text. Students are free to choose their own sources of information. Students are encouraged to find books, papers, and web sites whose writing style they find congenial, whose emphasis matches their interests, and whose price fits their budgets.
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After studying this chapter you will be able to: Understand multiplication and division, know various models for arithmetic operations (multiplication, and division) with natural numbers, apply multiplication and division to solve word problems.
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Chapter 9  Supplement "Mini review of differential arithmetic", after completing this chapter, you should be able to: Differentiate basic algebraic functions, find the optimal values of the decision variables and the objective function in problems that involve two decision variables and one inequality constraint, solve twodecisionvariable problems with a nonlinear objective function and multiple constraints using Excel.
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Lecture 9  After studying this chapter you will be able to understand: How computer stores data, text codes, binary arithmetic, boolean algebra, central processing unit (CPU), control unit and ALU, machine cycle, memory.
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