Pythagorean Triangles

Author: Waclaw Sierpinski

Publisher: Courier Corporation

ISBN: 0486174832

Category: Mathematics

Page: 128

View: 1797

This classic text, written by a distinguished mathematician and teacher, focuses on a fundamental theory of geometry. Topics include all types of Pythagorean triangles.

The Pythagorean Triangle

Or, The Science of Numbers

Author: George Oliver

Publisher: N.A


Category: Symbolism of numbers

Page: 237

View: 9697

Elementary Theory of Numbers

Second English Edition (edited by A. Schinzel)

Author: W. Sierpinski

Publisher: Elsevier

ISBN: 0080960197

Category: Mathematics

Page: 513

View: 4391

Since the publication of the first edition of this work, considerable progress has been made in many of the questions examined. This edition has been updated and enlarged, and the bibliography has been revised. The variety of topics covered here includes divisibility, diophantine equations, prime numbers (especially Mersenne and Fermat primes), the basic arithmetic functions, congruences, the quadratic reciprocity law, expansion of real numbers into decimal fractions, decomposition of integers into sums of powers, some other problems of the additive theory of numbers and the theory of Gaussian integers.

Das Mathebuch

Von Pythagoras bis in die 57. Dimension. 250 Meilensteine in der Geschichte der Mathematik

Author: Clifford A. Pickover

Publisher: N.A

ISBN: 9789089982803


Page: 527

View: 8496

Elementary Number Theory with Applications

Author: Thomas Koshy

Publisher: Elsevier

ISBN: 9780080547091

Category: Mathematics

Page: 800

View: 3343

This second edition updates the well-regarded 2001 publication with new short sections on topics like Catalan numbers and their relationship to Pascal's triangle and Mersenne numbers, Pollard rho factorization method, Hoggatt-Hensell identity. Koshy has added a new chapter on continued fractions. The unique features of the first edition like news of recent discoveries, biographical sketches of mathematicians, and applications--like the use of congruence in scheduling of a round-robin tournament--are being refreshed with current information. More challenging exercises are included both in the textbook and in the instructor's manual. Elementary Number Theory with Applications 2e is ideally suited for undergraduate students and is especially appropriate for prospective and in-service math teachers at the high school and middle school levels. * Loaded with pedagogical features including fully worked examples, graded exercises, chapter summaries, and computer exercises * Covers crucial applications of theory like computer security, ISBNs, ZIP codes, and UPC bar codes * Biographical sketches lay out the history of mathematics, emphasizing its roots in India and the Middle East

Guided Math Stretch: Pythagorean Theorem--Magic Triangles

Author: Lanney Sammons

Publisher: Teacher Created Materials

ISBN: 148078012X


Page: 6

View: 461

Engage your mathematics students at the beginning of class with this whole-class warm-up activity. This product features a step-by-step lesson, assessment information, and a snapshot of what the warm-up looks like in the classroom.

Trigonometrie für Dummies

Author: Mary Jane Sterling

Publisher: John Wiley & Sons

ISBN: 3527638563

Category: Mathematics

Page: 377

View: 6084

Trigonometrie besch?ftigt sich mit Winkeln und Dreiecken. Das h?rt sich ja ganz einfach an, aber jeder, der sich schon mit Trigonometrie besch?ftigen durfte, wei? wie verdammt kniffelig sie sein kann. ?Trigonometrie f?r Dummies? f?hrt die Leser in diese sonderbare Welt ein und versucht dabei auch zu zeigen wo, wann und warum es sinnvoll ist, sich mit diesem Thema zu besch?ftigen. Am Ende sind dann Sinus, Cosinus, Tangens und Cotangens keine Fremden mehr sondern gute alte Bekannte.

Pythagoras And His Theorem

Author: Paul Strathern

Publisher: Random House

ISBN: 1448106559

Category: Science

Page: 96

View: 8988

At a moment of great discovery, one Big Idea can change the world... Pythagoras was arguably the first 'genius' of Western culture, establishing a blend of high intellect and high lunacy, both of which have become recurrent features of this scholarly heritage.Most memorably, he created the Pythagorean Theorem, and established the concept of proofs in mathematics. Less well known was the religion he founded which forbade his disciples from eating beans or stepping over fallen poles! Pythagoras & His Theorem tells the remarkable story of the life of this poorly understood genius and the transformation his work brought about in mathematics. Pythagoras' Big Idea is presented in an accessible and enthralling way, providing an explanation of the meaning of his work, its historical and scientific context, and significance for the world in which we live. The Big Idea series is a fascinating look at the greatest advances in our scientific history, and at the men and women who made these fundamental breakthroughs.

Elementary Number Theory in Nine Chapters

Author: James J. Tattersall

Publisher: Cambridge University Press

ISBN: 9780521850148

Category: Mathematics

Page: 430

View: 7376

This textbook is intended to serve as a one-semester introductory course in number theory and in this second edition it has been revised throughout and many new exercises have been added. At the heart of the book are the major number theoretic accomplishments of Euclid, Fermat, Gauss, Legendre, and Euler, and to fully illustrate the properties of numbers and concepts developed in the text, a wealth of exercises have been included. For students new to number theory, whatever their background, this is a stimulating and entertaining introduction to the subject.

Number Theory and Its History

Author: Oystein Ore

Publisher: Courier Corporation

ISBN: 0486136434

Category: Mathematics

Page: 400

View: 3948

Unusually clear, accessible introduction covers counting, properties of numbers, prime numbers, Aliquot parts, Diophantine problems, congruences, much more. Bibliography.

A Pythagorean Introduction to Number Theory

Right Triangles, Sums of Squares, and Arithmetic

Author: Ramin Takloo-Bighash

Publisher: Springer

ISBN: 3030026043

Category: Mathematics

Page: 279

View: 1652

Right triangles are at the heart of this textbook’s vibrant new approach to elementary number theory. Inspired by the familiar Pythagorean theorem, the author invites the reader to ask natural arithmetic questions about right triangles, then proceeds to develop the theory needed to respond. Throughout, students are encouraged to engage with the material by posing questions, working through exercises, using technology, and learning about the broader context in which ideas developed. Progressing from the fundamentals of number theory through to Gauss sums and quadratic reciprocity, the first part of this text presents an innovative first course in elementary number theory. The advanced topics that follow, such as counting lattice points and the four squares theorem, offer a variety of options for extension, or a higher-level course; the breadth and modularity of the later material is ideal for creating a senior capstone course. Numerous exercises are included throughout, many of which are designed for SageMath. By involving students in the active process of inquiry and investigation, this textbook imbues the foundations of number theory with insights into the lively mathematical process that continues to advance the field today. Experience writing proofs is the only formal prerequisite for the book, while a background in basic real analysis will enrich the reader’s appreciation of the final chapters.

Mathematical Constants

Author: Steven R. Finch

Publisher: Cambridge University Press

ISBN: 9780521818056

Category: Mathematics

Page: 602

View: 4899

Steven Finch provides 136 essays, each devoted to a mathematical constant or a class of constants, from the well known to the highly exotic. This book is helpful both to readers seeking information about a specific constant, and to readers who desire a panoramic view of all constants coming from a particular field, for example, combinatorial enumeration or geometric optimization. Unsolved problems appear virtually everywhere as well. This work represents an outstanding scholarly attempt to bring together all significant mathematical constants in one place.