The Mathematical Tourist

The Mathematical Tourist
Author: Ivars Peterson
Publisher: Macmillan
Total Pages: 273
Release: 1998-04-15
Genre: Mathematics
ISBN: 0805071598

In the first edition of The Mathematical Tourist, renowned science journalist Ivars Peterson took readers on an unforgettable tour through the sometimes bizarre, but always fascinating, landscape of modern mathematics. Now the journey continues in a new, updated edition that includes all the latest information on mathematical proofs, fractals, prime numbers, and chaos, as well as new material on * the relationship between mathematical knots and DNA * how computers based on quantum logic can significantly speed up the factoring of large composite numbers * the relationship between four-dimensional geometry and physical theories of the nature of matter * the application of cellular automata models to social questions and the peregrinations of virtual ants * a novel mathematical model of quasicrystals based on decagon-shaped tiles Blazing a trail through rows of austere symbols and dense lines of formulae, Peterson explores the central ideas behind the work of professional mathematicians-- how and where their pieces of the mathematical puzzle fit in, the sources of their ideas, their fountains of inspiration, and the images that carry them from one discovery to another.

Problems and Solutions from The Mathematical Visitor, 1877-1896

Problems and Solutions from The Mathematical Visitor, 1877-1896
Author: Stanley Rabinowitz
Publisher: MathPro Press
Total Pages: 276
Release: 1996
Genre: Juvenile Nonfiction
ISBN: 9780962640155

This book contains all 344 problems that were originally published in the 19th century journal, The Mathematical Visitor, classified by subject. Little-known to most mathematicians today, these problems represent lost treasure from mathematical antiquity. All solutions that were originally published in the journal are also included.

The Mathematical Tourist

The Mathematical Tourist
Author: Ivars Peterson
Publisher:
Total Pages: 266
Release: 2001
Genre: Mathematics
ISBN:

A revised, updated edition of Peterson's classic work. Presents the latest information on mathematical proofs, fractals, prime numbers, and chaos, as well as new material on such intriguing topics as the relationship between mathematical knots and DNA; the application of cellular automata models to social questions; and the significant increase in the speed of factoring large composite numbers by means of computers based on quantum logic.

Mathematical Principles of the Internet, Volume 1

Mathematical Principles of the Internet, Volume 1
Author: Nirdosh Bhatnagar
Publisher: CRC Press
Total Pages: 957
Release: 2018-11-20
Genre: Computers
ISBN: 1351379143

This two-volume set on Mathematical Principles of the Internet provides a comprehensive overview of the mathematical principles of Internet engineering. The books do not aim to provide all of the mathematical foundations upon which the Internet is based. Instead, they cover a partial panorama and the key principles. Volume 1 explores Internet engineering, while the supporting mathematics is covered in Volume 2. The chapters on mathematics complement those on the engineering episodes, and an effort has been made to make this work succinct, yet self-contained. Elements of information theory, algebraic coding theory, cryptography, Internet traffic, dynamics and control of Internet congestion, and queueing theory are discussed. In addition, stochastic networks, graph-theoretic algorithms, application of game theory to the Internet, Internet economics, data mining and knowledge discovery, and quantum computation, communication, and cryptography are also discussed. In order to study the structure and function of the Internet, only a basic knowledge of number theory, abstract algebra, matrices and determinants, graph theory, geometry, analysis, optimization theory, probability theory, and stochastic processes, is required. These mathematical disciplines are defined and developed in the books to the extent that is needed to develop and justify their application to Internet engineering.

Newton's Clock

Newton's Clock
Author: Ivars Peterson
Publisher: Macmillan
Total Pages: 341
Release: 1993
Genre: Science
ISBN: 0716723964

With his critically acclaimed best-sellers The Mathematical Tourism and Islands of Truth, Ivars Peterson took readers to the frontiers of modern mathematics. His new book provides an up-to-date look at one of science's greatest detective stories: the search for order in the workings of the solar system. In the late 1600s, Sir Isaac Newton provided what astronomers had long sought: a seemingly reliable way of calculating planetary orbits and positions. Newton's laws of motion and his coherent, mathematical view of the universe dominated scientific discourse for centuries. At the same time, observers recorded subtle, unexpected movements of the planets and other bodies, suggesting that the solar system is not as placid and predictable as its venerable clock work image suggests. Today, scientists can go beyond the hand calculations, mathematical tables, and massive observational logs that limited the explorations of Newton, Copernicus, Galileo, Kepler, Tycho Brahe, and others. Using supercomputers to simulate the dynamics of the solar system, modern astronomers are learning more about the motions they observe and uncovering some astonishing examples of chaotic behavior in the heavens. Nonetheless, the long-term stability of the solar system remains a perplexing, unsolved issue, with each step toward its resolution exposing additional uncertainties and deeper mysteries. To show how our view of the solar system has changed from clocklike precision to chaos and complexity, Newton's Clock describes the development of celestial mechanics through the ages - from the star charts of ancient navigators to the seminal discoveries of the 17th century from the crucial work of Poincare to thestartling, sometimes controversial findings and theories made possible by modern mathematics and computer simulations. The result makes for entertaining and provocative reading, equal parts science, history and intellectual adventure.

Work Book Of Vedic Mathematics, Volume 1

Work Book Of Vedic Mathematics, Volume 1
Author: Vijay Kulkarni
Publisher: BFC Publications
Total Pages: 52
Release: 2023-06-03
Genre: Education
ISBN: 9357643133

We are delighted to announce the release of our new workbook, "Vedic Maths Volume-I." This workbook has been meticulously crafted to provide a comprehensive and user-friendly approach to learning Vedic Mathematics. It includes detailed explanations of various sutras, making it accessible to students of all levels. Our aim with this workbook is to foster an enjoyable learning experience for each and every student. By presenting Vedic Maths sutras alongside illustrated examples, we strive to enhance understanding and make the subject more engaging. This workbook covers Vedic Ganit Sutra for Addition, Subtraction, and Multiplication, offering a well-rounded foundation in Vedic Mathematics. It is particularly beneficial for school students preparing for scholarships, Olympiads, NTS, and other competitive exams. However, even students with average mathematical abilities can find value in this workbook, as it simplifies complex concepts and facilitates a better grasp of mathematics.

Advances In The History Of Mathematics Education

Advances In The History Of Mathematics Education
Author: Alexander Karp
Publisher: Springer Nature
Total Pages: 262
Release: 2022-06-20
Genre: Education
ISBN: 3030952355

This book is a collection of scholarly studies in the history of mathematics education, very abbreviated versions of which were presented at the ICMI Congress in 2021. The book discusses issues in education in Brazil and Belgium, in Poland and Spain, in Russia and the United States. Probably the main factor that unifies the chapters of the book is their attention to key moments in the formation of the field of mathematics education. Topics discussed in the book include the formation and development of mathematics education for women; the role of the research mathematician in the formation of standards for writing textbooks; the formation of curricula and the most active figures in this formation during the New Math period; the formation of certain distinctive features of curricula in Poland; the formation of the views of David Eugene Smith and the influence of European mathematics education on him; the formation of the American mathematics community; and the creation of such forms of student assessment as entrance exams to higher educational institutions. The book is of interest not only to historians of mathematics education, but also to wide segments of specialists in other areas of mathematics education.