Download Full eBooks in PDF
Lectures On Classical Differential Geometry Second Printing Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Lectures On Classical Differential Geometry Second Printing book. This book definitely worth reading, it is an incredibly well-written.
Author : Dirk Jan STRUIK
Publisher : Unknown
Page : 221 pages
File Size : 50,7 Mb
Release : 1957
Category : Electronic
ISBN : OCLC:503836650
Author : Dirk Jan Struik
Publisher : Courier Corporation
Page : 254 pages
File Size : 46,8 Mb
Release : 1961-01-01
Category : Mathematics
ISBN : 0486656098
Elementary, yet authoritative and scholarly, this book offers an excellent brief introduction to the classical theory of differential geometry. It is aimed at advanced undergraduate and graduate students who will find it not only highly readable but replete with illustrations carefully selected to help stimulate the student's visual understanding of geometry. The text features an abundance of problems, most of which are simple enough for class use, and often convey an interesting geometrical fact. A selection of more difficult problems has been included to challenge the ambitious student. Written by a noted mathematician and historian of mathematics, this volume presents the fundamental conceptions of the theory of curves and surfaces and applies them to a number of examples. Dr. Struik has enhanced the treatment with copious historical, biographical, and bibliographical references that place the theory in context and encourage the student to consult original sources and discover additional important ideas there. For this second edition, Professor Struik made some corrections and added an appendix with a sketch of the application of Cartan's method of Pfaffians to curve and surface theory. The result was to further increase the merit of this stimulating, thought-provoking text — ideal for classroom use, but also perfectly suited for self-study. In this attractive, inexpensive paperback edition, it belongs in the library of any mathematician or student of mathematics interested in differential geometry.
Author : Dirk J. Struik
Publisher : Courier Corporation
Page : 254 pages
File Size : 52,6 Mb
Release : 2012-04-26
Category : Mathematics
ISBN : 9780486138183
Elementary, yet authoritative and scholarly, this book offers an excellent brief introduction to the classical theory of differential geometry. It is aimed at advanced undergraduate and graduate students who will find it not only highly readable but replete with illustrations carefully selected to help stimulate the student's visual understanding of geometry. The text features an abundance of problems, most of which are simple enough for class use, and often convey an interesting geometrical fact. A selection of more difficult problems has been included to challenge the ambitious student. Written by a noted mathematician and historian of mathematics, this volume presents the fundamental conceptions of the theory of curves and surfaces and applies them to a number of examples. Dr. Struik has enhanced the treatment with copious historical, biographical, and bibliographical references that place the theory in context and encourage the student to consult original sources and discover additional important ideas there. For this second edition, Professor Struik made some corrections and added an appendix with a sketch of the application of Cartan's method of Pfaffians to curve and surface theory. The result was to further increase the merit of this stimulating, thought-provoking text — ideal for classroom use, but also perfectly suited for self-study. In this attractive, inexpensive paperback edition, it belongs in the library of any mathematician or student of mathematics interested in differential geometry.
Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 52,9 Mb
Release : 2024-06-27
Category : Electronic
ISBN : 9789814474771
Author : mary Gray
Publisher : CRC Press
Page : 1094 pages
File Size : 42,7 Mb
Release : 1997-12-29
Category : Mathematics
ISBN : 0849371643
The Second Edition combines a traditional approach with the symbolic manipulation abilities of Mathematica to explain and develop the classical theory of curves and surfaces. You will learn to reproduce and study interesting curves and surfaces - many more than are included in typical texts - using computer methods. By plotting geometric objects and studying the printed result, teachers and students can understand concepts geometrically and see the effect of changes in parameters. Modern Differential Geometry of Curves and Surfaces with Mathematica explains how to define and compute standard geometric functions, for example the curvature of curves, and presents a dialect of Mathematica for constructing new curves and surfaces from old. The book also explores how to apply techniques from analysis. Although the book makes extensive use of Mathematica, readers without access to that program can perform the calculations in the text by hand. While single- and multi-variable calculus, some linear algebra, and a few concepts of point set topology are needed to understand the theory, no computer or Mathematica skills are required to understand the concepts presented in the text. In fact, it serves as an excellent introduction to Mathematica, and includes fully documented programs written for use with Mathematica. Ideal for both classroom use and self-study, Modern Differential Geometry of Curves and Surfaces with Mathematica has been tested extensively in the classroom and used in professional short courses throughout the world.
Author : Andrew Russell Forsyth
Publisher : Wentworth Press
Page : 550 pages
File Size : 43,5 Mb
Release : 2019-03-06
Category : History
ISBN : 0530267047
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author : Thomas F. Banchoff,Stephen T. Lovett
Publisher : CRC Press
Page : 345 pages
File Size : 42,7 Mb
Release : 2010-03-01
Category : Mathematics
ISBN : 9781439894057
Students and professors of an undergraduate course in differential geometry will appreciate the clear exposition and comprehensive exercises in this book that focuses on the geometric properties of curves and surfaces, one- and two-dimensional objects in Euclidean space. The problems generally relate to questions of local properties (the properties
Author : Frank L. Pilar
Publisher : Courier Corporation
Page : 646 pages
File Size : 43,7 Mb
Release : 2013-08-22
Category : Science
ISBN : 9780486143873
As the author notes in the Preface to this valuable text, experimental chemists have moved past studying the average behavior of atoms or molecules "to probe the step-by-step behavior of individual atoms and molecules as they collide, form 'transition states,' and ultimately form products." In such experiments, quantum mechanical computations do two useful tasks: They fill in the observational gaps and help to interpret what has been observed. This introductory course — developed by the former chairman of the chemistry department at the University of New Hampshire — covers, among other topics, the origins of the quantum theory, the Schrödinger wave equation, the quantum mechanics of simple systems, the rigid rotator, the hydrogen atom, electron spin and many-electron systems, the quantum states of atoms, the Hartree-Fock self-consistent field method, the electronic structure of molecules, and semi-empirical molecular orbital methods. One of the great values of the course is its calculations and diagrams, which were created specifically for this text and which students will be able to replicate on their home computers. The text will be most useful for advanced undergraduate or beginning graduate students who have had calculus and at least a year of undergraduate physics. A knowledge of differential equations, linear algebra, and atomic physics is helpful but not essential. Seven appendices give a concise exposition of mathematical and physical material that may not be part of the students' background.
Author : Agostino Prastaro,Themistocles M. Rassias
Publisher : World Scientific
Page : 482 pages
File Size : 51,9 Mb
Release : 1994
Category : Mathematics
ISBN : 9810214073
This book emphasizes the interdisciplinary interaction in problems involving geometry and partial differential equations. It provides an attempt to follow certain threads that interconnect various approaches in the geometric applications and influence of partial differential equations. A few such approaches include: Morse-Palais-Smale theory in global variational calculus, general methods to obtain conservation laws for PDEs, structural investigation for the understanding of the meaning of quantum geometry in PDEs, extensions to super PDEs (formulated in the category of supermanifolds) of the geometrical methods just introduced for PDEs and the harmonic theory which proved to be very important especially after the appearance of the Atiyah-Singer index theorem, which provides a link between geometry and topology.
Author : A Pràstaro,Th M Rassias
Publisher : World Scientific
Page : 476 pages
File Size : 50,5 Mb
Release : 1994-01-17
Category : Mathematics
ISBN : 9789814504133
This book emphasizes the interdisciplinary interaction in problems involving geometry and partial differential equations. It provides an attempt to follow certain threads that interconnect various approaches in the geometric applications and influence of partial differential equations. A few such approaches include: Morse-Palais-Smale theory in global variational calculus, general methods to obtain conservation laws for PDEs, structural investigation for the understanding of the meaning of quantum geometry in PDEs, extensions to super PDEs (formulated in the category of supermanifolds) of the geometrical methods just introduced for PDEs and the harmonic theory which proved to be very important especially after the appearance of the Atiyah-Singer index theorem, which provides a link between geometry and topology. Contents:Some Applications of the Coarea Formula to Partial Differential Equations (F Bethuel & J-M Ghidaglia)Optical Hamiltonian Functions (M Bialy & L Polterovich)On the Geometry of the Hodge-De Rham Laplace Operators (M Craioveanu et al.)Minimal Surfaces in Economic Theory (J Donato)Asymptotic Expansions in Spectral Geometry (P B Gilkey)Deformations and Recursion Operators for Evolution Equations (I S Krasil'shchik & P H M Kersten)Geometric Hamiltonian Forms for the Kadomtsev-Petviashvili and Zabolotskaya-Khokhlov Equations (B A Kupershmidt)Spencer Cohomologies (V Lychagin & L Zilbergleit)Hawking's Radiation via Fourier Integral Operators (P E Parker)Geometry of Super PDE's (A Pràstaro)On a Geometric Approach to an Equation of J d'Alembert (A Pràstaro & Th M Rassias)Geometric Prequantization of the Einstein's Vacuum Field Equations (M Puta)Smooth Marginal Analysis of Bifurcation of Extremals (Y I Sapronov)On the Schrödinger Equation for an N-Electron Atom (C S Sharma)Strings and Membranes (K S Stelle)and other papers Readership: Mathematicians. keywords:PDE's;Geometry;Superequations;Deformations;Hamiltonian-forms;Integrability;Spencer-Cohomology;Prequantization;Corea-Formula;Conservation-Laws;D'Alembert-Equation;Monge-Ampere-Equation;Euler-Darboux-Equation
Author : Oliver Johns
Publisher : OUP Oxford
Page : 653 pages
File Size : 54,8 Mb
Release : 2011-05-19
Category : Science
ISBN : 9780191001628
An innovative and mathematically sound treatment of the foundations of analytical mechanics and the relation of classical mechanics to relativity and quantum theory. It presents classical mechanics in a way designed to assist the student's transition to quantum theory.
Author : British Museum. Department of Printed Books
Publisher : Unknown
Page : 1138 pages
File Size : 55,9 Mb
Release : 1969
Category : English imprints
ISBN : PSU:000030001121
Author : Oliver M. O'Reilly
Publisher : Springer Science & Business Media
Page : 241 pages
File Size : 40,9 Mb
Release : 2010-05-25
Category : Mathematics
ISBN : 9781441963604
This Primer is intended to provide the theoretical background for the standard undergraduate, mechanical engineering course in dynamics. The book contains several worked examples and summaries and exercises at the end of each chapter to aid readers in their understanding of the material. Teachers who wish to have a source of more detailed theory for the course, as well as graduate students who need a refresher course on undergraduate dynamics when preparing for certain first year graduate school examinations, and students taking the course will find the work very helpful.
Author : Anonim
Publisher : Unknown
Page : 0 pages
File Size : 48,5 Mb
Release : 1961
Category : Electronic
ISBN : OCLC:1067908233
Author : Shlomo Sternberg
Publisher : American Mathematical Soc.
Page : 466 pages
File Size : 47,7 Mb
Release : 1999
Category : Geometry, Differential
ISBN : 9780821813850
This book is based on lectures given at Harvard University during the academic year 1960-1961. The presentation assumes knowledge of the elements of modern algebra (groups, vector spaces, etc.) and point-set topology and some elementary analysis. Rather than giving all the basic information or touching upon every topic in the field, this work treats various selected topics in differential geometry. The author concisely addresses standard material and spreads exercises throughout the text. His reprint has two additions to the original volume: a paper written jointly with V. Guillemin at the beginning of a period of intense interest in the equivalence problem and a short description from the author on results in the field that occurred between the first and the second printings.
