The Crown of Thorns

Author:Felix Klein

Publisher:Cosimo, Inc.

ISBN:1602064172

Total Pages:96

Viewed:745

GET EBOOK

Books Description:

"This short book, first published in 1897, addresses three geometry puzzles that have been passed down from ancient times. Written for high school students, this book aims to show a younger audience why math should matter and to make the problems found in math intriguing. Klein presents for his readers an investigation of the possibility or impossibility of finding solutions for the following problems in light of mathematics available to him: duplication of the cube trisection of an angle quadrature of the circle Mathematicians and students of the history of math will find this an intriguing work. German mathematician FELIX KLEIN (1849 1925), a great teacher and scientific thinker, significantly advanced the field of mathematical physics and made a number of profound discoveries in the field of geometry. His published works include Elementary Mathematics from an Advanced Standpoint: Arithmetic, Algebra, Analysis and Elementary Mathematics from an Advanced Standpoint: Geometry."

Related Titles:

Famous Problems of Geometry and How to Solve Them

Author:Benjamin Bold

Publisher:Courier Corporation

ISBN:0486137635

Total Pages:144

Viewed:1883

DOWNLOAD

Books Description:

Delve into the development of modern mathematics and match wits with Euclid, Newton, Descartes, and others. Each chapter explores an individual type of challenge, with commentary and practice problems. Solutions.

Lectures on the Icosahedron and the Solution of the Fifth Degree

Author:Felix Klein

Publisher:Cosimo, Inc.

ISBN:1602063060

Total Pages:308

Viewed:432

DOWNLOAD

Books Description:

In this classic of mathematical literature, first published in 1884, Felix Klein elegantly demonstrates how the rotation of icosahedron can be used to solve complex quintic equations. Divided into two parts-"Theory of the Icosahedron" and "The Theory of Equations of the Fifth Degree"-The Icosahedron covers: . the regular solids and the theory of groups . introduction of (x + iy) . statement and discussion of the fundamental problem, according to the theory of functions . the algebraical character of the fundamental problem . general theorems and survey of the subject . the historical development of the theory of equations of the fifth degree . introduction of geometrical material . the canonical equations of the fifth degree . the problem of the A's and the Jacobian equations of the sixth degree . the general equation of the fifth degree Complete with detailed equations and instructive material, The Icosahedron will be valued by experts in higher mathematics and students of algebra alike. German mathematician FELIX KLEIN (1849-1925) specialized in function theory, group theory, and non-Euclidean geometry. His published works include Elementary Mathematics from an Advanced Standpoint: Arithmetic, Algebra, Analysis; Elementary Mathematics from an Advanced Standpoint: Geometry; and Famous Problems of Elementary Geometry.

CRC Concise Encyclopedia of Mathematics

Author:Eric W. Weisstein

Publisher:CRC Press

ISBN:1420035223

Total Pages:3252

Viewed:697

DOWNLOAD

Books Description:

Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d

Elementary Mathematics from an Advanced Standpoint

Author:Felix Klein

Publisher:Cosimo, Inc.

ISBN:1605209317

Total Pages:284

Viewed:833

DOWNLOAD

Books Description:

When the mathematician Felix Klein first went to university, he was surprised at just how little what he had learned up to that point was relevant to his new studies. Professors had their own interests, and these they conveyed without regard for the math students of the future that these prospective secondary schoolteachers would one day instruct. Elementary Mathematics from an Advanced Standpoint was written to help remedy that problem. Though highly regarded as one of the finest mathematical minds of his day, Professor Klein took a great deal of interest in guiding teachers and "reducing the gap between the school and the university." Readers will come away impressed at the clarity of Klein's writing, and the ease with which he conveys complex mathematical ideas. Divided into three parts-arithmetic, algebra, and analysis-and covering such topics as complex numbers, real equations, and logarithmic and exponential functions, Klein's classic is essential reading for math instructors and students planning to become math instructors. German mathematician FELIX KLEIN (1849-1925), a great teacher and scientific thinker, significantly advanced the field of mathematical physics and made a number of profound discoveries in the field of geometry. His published works include Elementary Mathematics from an Advanced Standpoint: Geometry and Famous Problems of Elementary Geometry.

Problem-Solving and Selected Topics in Euclidean Geometry

Author:Sotirios E. Louridas,Michael Th. Rassias

Publisher:Springer Science & Business Media

ISBN:1461472733

Total Pages:235

Viewed:1000

DOWNLOAD

Books Description:

"Problem-Solving and Selected Topics in Euclidean Geometry: in the Spirit of the Mathematical Olympiads" contains theorems which are of particular value for the solution of geometrical problems. Emphasis is given in the discussion of a variety of methods, which play a significant role for the solution of problems in Euclidean Geometry. Before the complete solution of every problem, a key idea is presented so that the reader will be able to provide the solution. Applications of the basic geometrical methods which include analysis, synthesis, construction and proof are given. Selected problems which have been given in mathematical olympiads or proposed in short lists in IMO's are discussed. In addition, a number of problems proposed by leading mathematicians in the subject are included here. The book also contains new problems with their solutions. The scope of the publication of the present book is to teach mathematical thinking through Geometry and to provide inspiration for both students and teachers to formulate "positive" conjectures and provide solutions.

A Delicate Balance: Global Perspectives on Innovation and Tradition in the History of Mathematics

Author:David E. Rowe,Wann-Sheng Horng

Publisher:Birkhäuser

ISBN:3319120301

Total Pages:428

Viewed:1126

DOWNLOAD

Books Description:

Joseph W. Dauben, a leading authority on the history of mathematics in Europe, China, and North America, has played a pivotal role in promoting international scholarship over the last forty years. This Festschrift volume, showcasing recent historical research by leading experts on three continents, offers a global perspective on important themes in this field.

An Elementary Treatise on Fourier's Series

Author:William Elwood Byerly

Publisher:Courier Corporation

ISBN:0486159906

Total Pages:304

Viewed:893

DOWNLOAD

Books Description:

Originally published over a century ago, this work remains among the most useful and practical expositions of Fourier's series, and spherical, cylindrical, and ellipsoidal harmonics. The subsequent growth of science into a diverse range of specialties has enhanced the value of this classic, whose thorough, basic treatment presents material that is assumed in many other studies but seldom available in such concise form. The development of functions, series, and their differential equations receives detailed explanations, and throughout the text, theory is applied to practical problems, with the solutions fully worked out. In addition, 190 problems, many with hints, are included. 1893 edition. Appendix of 6 tables.

Ruler and the Round

Author:Nicholas D. Kazarinoff

Publisher:Courier Corporation

ISBN:0486143619

Total Pages:160

Viewed:1637

DOWNLOAD

Books Description:

An intriguing look at the "impossible" geometric constructions (those that defy completion with just a ruler and a compass), this book covers angle trisection and circle division. 1970 edition.

Theory of Approximation

Author:N. I. Achieser

Publisher:Courier Corporation

ISBN:0486153134

Total Pages:320

Viewed:1404

DOWNLOAD

Books Description:

Graduate-level text by a pioneer of modern developments in approximation theory approaches the subject from the standpoint of functional analysis. Clear treatments of classical topics and an extensive section of problems and applications.

Summation of Series

Author:L.B. W. Jolley

Publisher:Courier Corporation

ISBN:048615338X

Total Pages:272

Viewed:605

DOWNLOAD

Books Description:

More than 1,200 common series appear here. Collected, summed, and grouped for easy reference, they constitute an immensely useful handbook for mathematicians, physicists, computer technicians, engineers, and students.

The Philosophy of Mathematics

Author:Auguste Comte

Publisher:Courier Corporation

ISBN:0486155137

Total Pages:272

Viewed:1676

DOWNLOAD

Books Description:

Written by the nineteenth-century French philosophical founder of positivism, this comprehensive map of mathematical science assigns to each part of the complex whole its true position and value.

The General Theory of Dirichlet's Series

Author:G. H. Hardy,Marcel Riesz

Publisher:Courier Corporation

ISBN:048615517X

Total Pages:96

Viewed:958

DOWNLOAD

Books Description:

This classic work by two distinguished mathematicians explains theory and formulas behind Dirichlet's series and offers first systematic account of Riesz's theory of summation of series by typical means. 1915 edition.

Hill's Equation

Author:Wilhelm Magnus,Stanley Winkler

Publisher:Courier Corporation

ISBN:0486150291

Total Pages:138

Viewed:1250

DOWNLOAD

Books Description:

This two-part treatment explains basic theory and details, including oscillatory solutions, intervals of stability and instability, discriminants, and coexistence. Particular attention to stability problems and coexistence of periodic solutions. 1966 edition.

Mathematical Handbook for Scientists and Engineers

Author:Granino A. Korn,Theresa M. Korn

Publisher:Courier Corporation

ISBN:0486320235

Total Pages:1152

Viewed:1792

DOWNLOAD

Books Description:

Convenient access to information from every area of mathematics: Fourier transforms, Z transforms, linear and nonlinear programming, calculus of variations, random-process theory, special functions, combinatorial analysis, game theory, much more.

100 Great Problems of Elementary Mathematics

Author:Heinrich Dörrie

Publisher:Courier Corporation

ISBN:0486318478

Total Pages:416

Viewed:1665

DOWNLOAD

Books Description:

Problems that beset Archimedes, Newton, Euler, Cauchy, Gauss, Monge, Steiner, and other great mathematical minds. Features squaring the circle, pi, and similar problems. No advanced math is required. Includes 100 problems with proofs.

The Geometry of René Descartes

Author:René Descartes

Publisher:Courier Corporation

ISBN:0486158179

Total Pages:272

Viewed:1141

DOWNLOAD

Books Description:

The great work that founded analytical geometry. Includes the original French text, Descartes' own diagrams, and the definitive Smith-Latham translation. "The greatest single step ever made in the progress of the exact sciences." — John Stuart Mill.