Variations On A Theme Of Euler

Download Variations On A Theme Of Euler full books in PDF, epub, and Kindle. Read online Variations On A Theme Of Euler ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Variations on a Theme of Euler

Author : Takashi Ono
Publisher : Springer Science & Business Media
ISBN 13 : 1475723261
Total Pages : 356 pages
Book Rating : 4.4/5 (757 download)

DOWNLOAD NOW!

Book Synopsis Variations on a Theme of Euler by : Takashi Ono

Download or read book Variations on a Theme of Euler written by Takashi Ono and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first six chapters and Appendix 1 of this book appeared in Japanese in a book of the same title 15years aga (Jikkyo, Tokyo, 1980).At the request of some people who do not wish to learn Japanese, I decided to rewrite my old work in English. This time, I added a chapter on the arithmetic of quadratic maps (Chapter 7) and Appendix 2, A Short Survey of Subsequent Research on Congruent Numbers, by M. Kida. Some 20 years ago, while rifling through the pages of Selecta Heinz Hopj (Springer, 1964), I noticed a system of three quadratic forms in four variables with coefficientsin Z that yields the map of the 3-sphere to the 2-sphere with the Hopf invariant r =1 (cf. Selecta, p. 52). Immediately I feit that one aspect of classical and modern number theory, including quadratic forms (Pythagoras, Fermat, Euler, and Gauss) and space elliptic curves as intersection of quadratic surfaces (Fibonacci, Fermat, and Euler), could be considered as the number theory of quadratic maps-especially of those maps sending the n-sphere to the m-sphere, i.e., the generalized Hopf maps. Having these in mind, I deliveredseverallectures at The Johns Hopkins University (Topics in Number Theory, 1973-1974, 1975-1976, 1978-1979, and 1979-1980). These lectures necessarily contained the following three basic areas of mathematics: v vi Preface Theta Simple Functions Aigebras Elliptic Curves Number Theory Figure P.l.

Variations on a Theme of Euler

Author : Takashi Ono
Publisher :
ISBN 13 : 9781475723274
Total Pages : 360 pages
Book Rating : 4.7/5 (232 download)

DOWNLOAD NOW!

Book Synopsis Variations on a Theme of Euler by : Takashi Ono

Download or read book Variations on a Theme of Euler written by Takashi Ono and published by . This book was released on 2014-01-15 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Euler's Gem

Author : David S. Richeson
Publisher : Princeton University Press
ISBN 13 : 0691191999
Total Pages : 336 pages
Book Rating : 4.6/5 (911 download)

DOWNLOAD NOW!

Book Synopsis Euler's Gem by : David S. Richeson

Download or read book Euler's Gem written by David S. Richeson and published by Princeton University Press. This book was released on 2019-07-23 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: How a simple equation reshaped mathematics Leonhard Euler’s polyhedron formula describes the structure of many objects—from soccer balls and gemstones to Buckminster Fuller’s buildings and giant all-carbon molecules. Yet Euler’s theorem is so simple it can be explained to a child. From ancient Greek geometry to today’s cutting-edge research, Euler’s Gem celebrates the discovery of Euler’s beloved polyhedron formula and its far-reaching impact on topology, the study of shapes. Using wonderful examples and numerous illustrations, David Richeson presents this mathematical idea’s many elegant and unexpected applications, such as showing why there is always some windless spot on earth, how to measure the acreage of a tree farm by counting trees, and how many crayons are needed to color any map. Filled with a who’s who of brilliant mathematicians who questioned, refined, and contributed to a remarkable theorem’s development, Euler’s Gem will fascinate every mathematics enthusiast. This paperback edition contains a new preface by the author.

Proofs and Refutations

Author : Imre Lakatos
Publisher : Cambridge University Press
ISBN 13 : 9780521290388
Total Pages : 190 pages
Book Rating : 4.2/5 (93 download)

DOWNLOAD NOW!

Book Synopsis Proofs and Refutations by : Imre Lakatos

Download or read book Proofs and Refutations written by Imre Lakatos and published by Cambridge University Press. This book was released on 1976 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proofs and Refutations is for those interested in the methodology, philosophy and history of mathematics.

Steps into Analytic Number Theory

Author : Paul Pollack
Publisher : Springer Nature
ISBN 13 : 3030650774
Total Pages : 191 pages
Book Rating : 4.0/5 (36 download)

DOWNLOAD NOW!

Book Synopsis Steps into Analytic Number Theory by : Paul Pollack

Download or read book Steps into Analytic Number Theory written by Paul Pollack and published by Springer Nature. This book was released on 2021-02-08 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: This problem book gathers together 15 problem sets on analytic number theory that can be profitably approached by anyone from advanced high school students to those pursuing graduate studies. It emerged from a 5-week course taught by the first author as part of the 2019 Ross/Asia Mathematics Program held from July 7 to August 9 in Zhenjiang, China. While it is recommended that the reader has a solid background in mathematical problem solving (as from training for mathematical contests), no possession of advanced subject-matter knowledge is assumed. Most of the solutions require nothing more than elementary number theory and a good grasp of calculus. Problems touch at key topics like the value-distribution of arithmetic functions, the distribution of prime numbers, the distribution of squares and nonsquares modulo a prime number, Dirichlet's theorem on primes in arithmetic progressions, and more. This book is suitable for any student with a special interest in developing problem-solving skills in analytic number theory. It will be an invaluable aid to lecturers and students as a supplementary text for introductory Analytic Number Theory courses at both the undergraduate and graduate level.

SIAM Journal on Control and Optimization

Author : Society for Industrial and Applied Mathematics
Publisher :
ISBN 13 :
Total Pages : 692 pages
Book Rating : 4.:/5 (318 download)

DOWNLOAD NOW!

Book Synopsis SIAM Journal on Control and Optimization by : Society for Industrial and Applied Mathematics

Download or read book SIAM Journal on Control and Optimization written by Society for Industrial and Applied Mathematics and published by . This book was released on 2002 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Variational Methods in Optimization

Author : Donald R. Smith
Publisher : Courier Corporation
ISBN 13 : 9780486404554
Total Pages : 406 pages
Book Rating : 4.4/5 (45 download)

DOWNLOAD NOW!

Book Synopsis Variational Methods in Optimization by : Donald R. Smith

Download or read book Variational Methods in Optimization written by Donald R. Smith and published by Courier Corporation. This book was released on 1998-01-01 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: Highly readable text elucidates applications of the chain rule of differentiation, integration by parts, parametric curves, line integrals, double integrals, and elementary differential equations. 1974 edition.

Proceedings of the Japan Academy

Author : Nihon Gakushiin
Publisher :
ISBN 13 :
Total Pages : 736 pages
Book Rating : 4.3/5 (91 download)

DOWNLOAD NOW!

Book Synopsis Proceedings of the Japan Academy by : Nihon Gakushiin

Download or read book Proceedings of the Japan Academy written by Nihon Gakushiin and published by . This book was released on 1996 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 788 pages
Book Rating : 4.X/5 (6 download)

DOWNLOAD NOW!

Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2000 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Time Capsules

Author : Dick Jardine
Publisher : MAA
ISBN 13 : 088385984X
Total Pages : 305 pages
Book Rating : 4.8/5 (838 download)

DOWNLOAD NOW!

Book Synopsis Mathematical Time Capsules by : Dick Jardine

Download or read book Mathematical Time Capsules written by Dick Jardine and published by MAA. This book was released on 2011 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Time Capsules offers teachers historical modules for immediate use in the mathematics classroom. Readers will find articles and activities from mathematics history that enhance the learning of topics covered in the undergraduate or secondary mathematics curricula. Each capsule presents at least one topic or a historical thread that can be used throughout a course. The capsules were written by experienced practitioners to provide teachers with historical background and classroom activities designed for immediate use in the classroom, along with further references and resources on the chapter subject. --Publisher description.

Symmetry: A Very Short Introduction

Author : Ian Stewart
Publisher : OUP Oxford
ISBN 13 : 0199651981
Total Pages : 161 pages
Book Rating : 4.1/5 (996 download)

DOWNLOAD NOW!

Book Synopsis Symmetry: A Very Short Introduction by : Ian Stewart

Download or read book Symmetry: A Very Short Introduction written by Ian Stewart and published by OUP Oxford. This book was released on 2013-05-30 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetry is an immensely important concept in mathematics and throughout the sciences. In this Very Short Introduction, Ian Stewart highlights the deep implications of symmetry and its important scientific applications across the entire subject.

Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics

Author : D.H. Sattinger
Publisher : Springer Science & Business Media
ISBN 13 : 1475719108
Total Pages : 218 pages
Book Rating : 4.4/5 (757 download)

DOWNLOAD NOW!

Book Synopsis Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics by : D.H. Sattinger

Download or read book Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics written by D.H. Sattinger and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended as an introductory text on the subject of Lie groups and algebras and their role in various fields of mathematics and physics. It is written by and for researchers who are primarily analysts or physicists, not algebraists or geometers. Not that we have eschewed the algebraic and geo metric developments. But we wanted to present them in a concrete way and to show how the subject interacted with physics, geometry, and mechanics. These interactions are, of course, manifold; we have discussed many of them here-in particular, Riemannian geometry, elementary particle physics, sym metries of differential equations, completely integrable Hamiltonian systems, and spontaneous symmetry breaking. Much ofthe material we have treated is standard and widely available; but we have tried to steer a course between the descriptive approach such as found in Gilmore and Wybourne, and the abstract mathematical approach of Helgason or Jacobson. Gilmore and Wybourne address themselves to the physics community whereas Helgason and Jacobson address themselves to the mathematical community. This book is an attempt to synthesize the two points of view and address both audiences simultaneously. We wanted to present the subject in a way which is at once intuitive, geometric, applications oriented, mathematically rigorous, and accessible to students and researchers without an extensive background in physics, algebra, or geometry.

Statistics on the Table

Author : Stephen M. Stigler
Publisher : Harvard University Press
ISBN 13 : 0674267613
Total Pages : 503 pages
Book Rating : 4.6/5 (742 download)

DOWNLOAD NOW!

Book Synopsis Statistics on the Table by : Stephen M. Stigler

Download or read book Statistics on the Table written by Stephen M. Stigler and published by Harvard University Press. This book was released on 2002-09-30 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: This lively collection of essays examines in witty detail the history of some of the concepts involved in bringing statistical argument "to the table," and some of the pitfalls that have been encountered. The topics range from seventeenth-century medicine and the circulation of blood, to the cause of the Great Depression and the effect of the California gold discoveries of 1848 upon price levels, to the determinations of the shape of the Earth and the speed of light, to the meter of Virgil's poetry and the prediction of the Second Coming of Christ. The title essay tells how the statistician Karl Pearson came to issue the challenge to put "statistics on the table" to the economists Marshall, Keynes, and Pigou in 1911. The 1911 dispute involved the effect of parental alcoholism upon children, but the challenge is general and timeless: important arguments require evidence, and quantitative evidence requires statistical evaluation. Some essays examine deep and subtle statistical ideas such as the aggregation and regression paradoxes; others tell of the origin of the Average Man and the evaluation of fingerprints as a forerunner of the use of DNA in forensic science. Several of the essays are entirely nontechnical; all examine statistical ideas with an ironic eye for their essence and what their history can tell us about current disputes.

Variational Calculus

Author : Jean-Pierre Bourguignon
Publisher : Springer Nature
ISBN 13 : 303118307X
Total Pages : 284 pages
Book Rating : 4.0/5 (311 download)

DOWNLOAD NOW!

Book Synopsis Variational Calculus by : Jean-Pierre Bourguignon

Download or read book Variational Calculus written by Jean-Pierre Bourguignon and published by Springer Nature. This book was released on 2022-12-14 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive introduction to the Calculus of Variations and its use in modelling mechanics and physics problems. Presenting a geometric approach to the subject, it progressively guides the reader through this very active branch of mathematics, accompanying key statements with a huge variety of exercises, some of them solved. Stressing the need to overcome limitations of the initial point of view, and emphasising the interconnectivity of various branches of mathematics (algebra, analysis and geometry), the book includes some advanced material to challenge the most motivated students. Systematic, short historical notes provide details on the subject’s odyssey, and how new tools have been developed over the last two centuries. This English translation updates a set of notes for a course first given at the École polytechnique in 1987. It will be accessible to graduate students and advanced undergraduates.

One Hundred Years of Chemical Engineering

Author : Nicholas A. Peppas
Publisher : Springer Science & Business Media
ISBN 13 : 9400923074
Total Pages : 411 pages
Book Rating : 4.4/5 (9 download)

DOWNLOAD NOW!

Book Synopsis One Hundred Years of Chemical Engineering by : Nicholas A. Peppas

Download or read book One Hundred Years of Chemical Engineering written by Nicholas A. Peppas and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: One hundred years ago, in September 1888, Professor Lewis Mills Norton (1855-1893) of the Chemistry Department of the Massachusetts Institute of Technology introduced to the curriculum a course on industrial chemical practice. This was the first structured course in chemical engineer ing taught in a University. Ten years later, Norton's successor Frank H. Thorpe published the first textbook in chemical engineering, entitled "Outlines of Industrial Chemistry." Over the years, chemical engineering developed from a simple industrial chemical analysis of processes into a mature field. The volume presented here includes most of the commissioned and contributed papers presented at the American Chemical Society Symposium celebrating the centenary of chemical engineering. The contributions are presented in a logical way, starting first with the history of chemical engineering, followed by analyses of various fields of chemical engineering and concluding with the history of various U.S. and European Departments of Chemical Engineering. I wish to thank the authors of the contributions/chapters of this volume for their enthusiastic response to my idea of publishing this volume and Dr. Gianni Astarita of the University of Naples, Italy, for his encouragement during the initial stages of this project.

Optimal Control and Geometry: Integrable Systems

Author : Velimir Jurdjevic
Publisher : Cambridge University Press
ISBN 13 : 1316586332
Total Pages : 437 pages
Book Rating : 4.3/5 (165 download)

DOWNLOAD NOW!

Book Synopsis Optimal Control and Geometry: Integrable Systems by : Velimir Jurdjevic

Download or read book Optimal Control and Geometry: Integrable Systems written by Velimir Jurdjevic and published by Cambridge University Press. This book was released on 2016-07-04 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: The synthesis of symplectic geometry, the calculus of variations and control theory offered in this book provides a crucial foundation for the understanding of many problems in applied mathematics. Focusing on the theory of integrable systems, this book introduces a class of optimal control problems on Lie groups, whose Hamiltonians, obtained through the Maximum Principle of optimality, shed new light on the theory of integrable systems. These Hamiltonians provide an original and unified account of the existing theory of integrable systems. The book particularly explains much of the mystery surrounding the Kepler problem, the Jacobi problem and the Kovalevskaya Top. It also reveals the ubiquitous presence of elastic curves in integrable systems up to the soliton solutions of the non-linear Schroedinger's equation. Containing a useful blend of theory and applications, this is an indispensable guide for graduates and researchers in many fields, from mathematical physics to space control.

Handbook of Number Theory II

Author : J. Sándor
Publisher : Springer Science & Business Media
ISBN 13 : 1402025467
Total Pages : 637 pages
Book Rating : 4.4/5 (2 download)

DOWNLOAD NOW!

Book Synopsis Handbook of Number Theory II by : J. Sándor

Download or read book Handbook of Number Theory II written by J. Sándor and published by Springer Science & Business Media. This book was released on 2004 with total page 637 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook focuses on some important topics from Number Theory and Discrete Mathematics. These include the sum of divisors function with the many old and new issues on Perfect numbers; Euler's totient and its many facets; the Möbius function along with its generalizations, extensions, and applications; the arithmetic functions related to the divisors or the digits of a number; the Stirling, Bell, Bernoulli, Euler and Eulerian numbers, with connections to various fields of pure or applied mathematics. Each chapter is a survey and can be viewed as an encyclopedia of the considered field, underlining the interconnections of Number Theory with Combinatorics, Numerical mathematics, Algebra, or Probability Theory. This reference work will be useful to specialists in number theory and discrete mathematics as well as mathematicians or scientists who need access to some of these results in other fields of research.