Leapfrog Numbers Ahoy

Prime Numbers: The Holy Grail Of Mathematics: A brief introduction to prime numbers  eBooks & eLearning

Posted by yoyoloit at Oct. 19, 2021
Prime Numbers: The Holy Grail Of Mathematics: A brief introduction to prime numbers

Prime Numbers: The Holy Grail Of Mathematics: A brief introduction to prime numbers
by Naouech, Thamer

English | 2021 | ISBN: ‎ B09J45FDQ7 | 390 pages | EPUB AZW3 | 30.16 MB

Mersenne Numbers and Fermat Numbers  eBooks & eLearning

Posted by yoyoloit at Oct. 20, 2021
Mersenne Numbers and Fermat Numbers

Mersenne Numbers And Fermat Numbers
by Deza, Elena;

English | 2021 | ISBN: ‎ 9811230315 | 327 pages | True PDF EPUB | 24.73 MB

Integers, Real, Rational, Natural, and Irrational Numbers  eBooks & eLearning

Posted by Free butterfly at Nov. 12, 2021
Integers, Real, Rational, Natural, and Irrational Numbers

Integers, Real, Rational, Natural, and Irrational Numbers: 4000 Arithmetic and Number Theory Exercises by Norman Sanko
English | 2021 | ISBN: N/A | ASIN: B09H652J3P | 355 pages | EPUB | 0.16 Mb

The Mathematical Traveler: Exploring the Grand History of Numbers  eBooks & eLearning

Posted by AvaxGenius at Feb. 14, 2023
The Mathematical Traveler: Exploring the Grand History of Numbers

The Mathematical Traveler: Exploring the Grand History of Numbers by Calvin C. Clawson
English | PDF | 1994 | 310 Pages | ISBN : 0306446456 | 33.5 MB

The story of numbers is a rich, sweeping history that shows how our mathematical achievements contributed to the greatest innovations of civilization. Calvin Clawson, acclaimed author of Conquering Math Phobia, weaves a story of numbers that spans thousands of years.

How Numbers Work: Discover the strange and beautiful world of mathematics  eBooks & eLearning

Posted by DZ123 at Feb. 1, 2024
How Numbers Work: Discover the strange and beautiful world of mathematics

Richard Webb, Alison George, Jeremy Webb, "How Numbers Work: Discover the strange and beautiful world of mathematics"
English | 2018 | ASIN: 1529382041 | EPUB | pages: 181 | 3.8 mb

Complex Numbers from A to ...Z  eBooks & eLearning

Posted by AvaxGenius at June 19, 2024
Complex Numbers from A to ...Z

Complex Numbers from A to …Z by Titu Andreescu, Dorin Andrica
English | PDF | 2005 | 335 Pages | ISBN : N/A | 2.2 MB

It is impossible to imagine modern mathematics without complex numbers. Complex Numbers from A to . . . Z introduces the reader to this fascinating subject that, from the time of L. Euler, has become one of the most utilized ideas in mathematics.
The Mathematics of Minkowski Space-Time: With an Introduction to Commutative Hypercomplex Numbers (Repost)

The Mathematics of Minkowski Space-Time: With an Introduction to Commutative Hypercomplex Numbers by The Mathematics of Minkowski Space-Time: With an Introduction to Commutative Hypercomplex Numbers
English | PDF | 2008 | 267 Pages | ISBN : 3764386134 | 1.8 MB

Hyperbolic numbers are proposed for a rigorous geometric formalization of the space-time symmetry of two-dimensional Special Relativity. The system of hyperbolic numbers as a simple extension of the field of complex numbers is extensively studied in the book. In particular, an exhaustive solution of the "twin paradox" is given, followed by a detailed exposition of space-time geometry and trigonometry. Finally, an appendix on general properties of commutative hypercomplex systems with four unities is presented.

Numbers and Geometry  eBooks & eLearning

Posted by AvaxGenius at June 19, 2024
Numbers and Geometry

Numbers and Geometry by John Stillwell
English | PDF (True) | 1998 | 348 Pages | ISBN : 0387982892 | 23.5 MB

NUMBERS AND GEOMETRY is a beautiful and relatively elementary account of a part of mathematics where three main fields–algebra, analysis and geometry–meet. The aim of this book is to give a broad view of these subjects at the level of calculus, without being a calculus (or a pre-calculus) book. Its roots are in arithmetic and geometry, the two opposite poles of mathematics, and the source of historic conceptual conflict. The resolution of this conflict, and its role in the development of mathematics, is one of the main stories in the book. The key is algebra, which brings arithmetic and geometry together, and allows them to flourish and branch out in new directions. Stillwell has chosen an array of exciting and worthwhile topics and elegantly combines mathematical history with mathematics. He believes that most of mathematics is about numbers, curves and functions, and the links between these concepts can be suggested by a thorough study of simple examples, such as the circle and the square.

Classical Theory of Algebraic Numbers (Repost)  eBooks & eLearning

Posted by AvaxGenius at June 20, 2024
Classical Theory of Algebraic Numbers (Repost)

Classical Theory of Algebraic Numbers by Paulo Ribenboim
English | PDF | 2001 | 676 Pages | ISBN : 0387950702 | 43.3 MB

Gauss created the theory of binary quadratic forms in "Disquisitiones Arithmeticae" and Kummer invented ideals and the theory of cyclotomic fields in his attempt to prove Fermat's Last Theorem. These were the starting points for the theory of algebraic numbers, developed in the classical papers of Dedekind, Dirichlet, Eisenstein, Hermite and many others. This theory, enriched with more recent contributions, is of basic importance in the study of diophantine equations and arithmetic algebraic geometry, including methods in cryptography. This book has a clear and thorough exposition of the classical theory of algebraic numbers, and contains a large number of exercises as well as worked out numerical examples. The Introduction is a recapitulation of results about principal ideal domains, unique factorization domains and commutative fields. Part One is devoted to residue classes and quadratic residues. In Part Two one finds the study of algebraic integers, ideals, units, class numbers, the theory of decomposition, inertia and ramification of ideals. Part Three is devoted to Kummer's theory of cyclomatic fields, and includes Bernoulli numbers and the proof of Fermat's Last Theorem for regular prime exponents. Finally, in Part Four, the emphasis is on analytical methods and it includes Dinchlet's Theorem on primes in arithmetic progressions, the theorem of Chebotarev and class number formulas. A careful study of this book will provide a solid background to the learning of more recent topics.

Complex Numbers  eBooks & eLearning

Posted by AvaxGenius at July 11, 2024
Complex Numbers

Complex Numbers by Walter Ledermann
English | PDF | 1962 | 71 Pages | ISBN : 0710043457 | 3.7 MB

THE purpose of this book is to prescnt a straightforward introduction to complex numbers and their properties. Complex numbers, like other kinds of numbers, are essen­ tially objects with which to perform calculations a:cording to certain rules, and when this principle is borne in mind, the nature of complex numbers is no more mysterious than that of the more familiar types of numbers. This formal approach has recently been recommended in a Reportt prepared for the Mathematical Association. We believe that it has distinct advantages in teaching and that it is more in line with modern algebraical ideas than the alternative geometrical or kinematical definitions of v -1 that used to be proposed. On the other hand, an elementary textbook is clearly not the place to enter into a full discussion of such questions as logical consistency, which would have to be included in a rigorous axiomatic treatment. However, the steps that had to be omitted (with due warning) can easily be filled in by the methods of abstract algebra, which do not conflict with the 'naive' attitude adopted here. I should like to thank my friend and colleague Dr. J. A. Green for a number of valuable suggestions, especially in connection with the chapter on convergence, which is a sequel to his volume Sequences and Series in this Library.