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Author : Arthur William Larsen
Publisher :
ISBN 13 :
Total Pages : 148 pages
Book Rating : 4.:/5 (89 download)
Download or read book A Study of the Groups of Rotations of the Regular Solids Into Themselves written by Arthur William Larsen and published by . This book was released on 1915 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Frank J. Swetz
Publisher : Courier Corporation
ISBN 13 : 0486474429
Total Pages : 194 pages
Book Rating : 4.4/5 (864 download)
Download or read book The Search for Certainty written by Frank J. Swetz and published by Courier Corporation. This book was released on 2012-01-01 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Self-contained and authoritative, this history of mathematics is suited to those with no math background. Its absorbing, entertaining essays focus on the era from 1800 to 2000. Contributors include Henri Poincaré, Judith V. Grabiner, and H. S. M. Coxeter, who discuss topics ranging from logic and infinity to Fermat's Last Theorem.
Author : Hans Wussing
Publisher : Courier Corporation
ISBN 13 : 0486458687
Total Pages : 338 pages
Book Rating : 4.4/5 (864 download)
Download or read book The Genesis of the Abstract Group Concept written by Hans Wussing and published by Courier Corporation. This book was released on 2007-01-01 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: "It is a pleasure to turn to Wussing's book, a sound presentation of history," declared the Bulletin of the American Mathematical Society. The author, Director of the Institute for the History of Medicine and Science at Leipzig University, traces the axiomatic formulation of the abstract notion of group. 1984 edition.
Author : Israel Kleiner
Publisher : Springer Science & Business Media
ISBN 13 : 0817646841
Total Pages : 175 pages
Book Rating : 4.8/5 (176 download)
Download or read book A History of Abstract Algebra written by Israel Kleiner and published by Springer Science & Business Media. This book was released on 2007-10-02 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the history of abstract algebra. It shows how abstract algebra has arisen in attempting to solve some of these classical problems, providing a context from which the reader may gain a deeper appreciation of the mathematics involved.
Author : Renate Tobies
Publisher : Springer Nature
ISBN 13 : 3030757854
Total Pages : 677 pages
Book Rating : 4.0/5 (37 download)
Download or read book Felix Klein written by Renate Tobies and published by Springer Nature. This book was released on 2021-06-23 with total page 677 pages. Available in PDF, EPUB and Kindle. Book excerpt: About Felix Klein, the famous Greek mathematician Constantin Carathéodory once said: “It is only by illuminating him from all angles that one can come to understand his significance.” The author of this biography has done just this. A detailed study of original sources has made it possible to uncover new connections; to create a more precise representation of this important mathematician, scientific organizer, and educational reformer; and to identify misconceptions. Because of his edition of Julius Plücker’s work on line geometry and due to his own contributions to non-Euclidean geometry, Klein was already well known abroad before he received his first full professorship at the age of 23. By exchanging ideas with his most important cooperation partner, the Norwegian Sophus Lie, Klein formulated his Erlangen Program. Various other visionary programs followed, in which Klein involved mathematicians from Germany and abroad. Klein was the most active promoter of Riemann’s geometric-physical approach to function theory, but he also integrated the analytical approaches of the Weierstrass school into his arsenal of methods. Klein was a citizen of the world who repeatedly travelled to France, Great Britain, Italy, the United States, and elsewhere. Despite what has often been claimed, it must be emphasized that Klein expressly opposed national chauvinism. He promoted mathematically gifted individuals regardless of their nationality, religion, or gender. Many of his works have been translated into English, French, Italian, Russian, and other languages; more than 300 supporters from around the world made it possible for his portrait to be painted by the prominent impressionist Max Liebermann. Inspired by international developments, Klein paved the way for women to work in the field of mathematics. He was instrumental in reforming mathematical education, and he endorsed an understanding of mathematics that affirmed its cultural importance as well as its fundamental significance to scientific and technological progress.
Author : Florian Cajori
Publisher : American Mathematical Soc.
ISBN 13 : 9780821821022
Total Pages : 540 pages
Book Rating : 4.8/5 (21 download)
Download or read book A History of Mathematics written by Florian Cajori and published by American Mathematical Soc.. This book was released on 1999 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Fifth Edition (1991) of a book first published in 1893 covers the period from antiquity to the close of World War I, with major emphasis on advanced mathematics and, in particular, the advanced mathematics of the nineteenth and early twentieth centuries. In one concise volume this unique book presents an interesting and reliable account of mathematics history for those who cannot devote themselves to an intensive study. The book is a must for personal and departmental librariesalike.Cajori has mastered the art of incorporating an enormous amount of specific detail into a smooth-flowing narrative. The Index--for example--contains not just the 300 to 400 names one would expect to find, but over 1,600. And, for example, one will not only find John Pell, but will learn who he was and some specifics of what he did (and that the Pell equation was named erroneously after him). In addition, one will come across Anna J. Pell and learn of her work on biorthogonal systems; one willfind not only H. Lebesgue but the not unimportant (even if not major) V.A. Lebesgue. Of the Bernoullis one will find not three or four but all eight. One will find R. Sturm as well as C. Sturm; M. Ricci as well as G. Ricci; V. Riccati as well as J.F. Riccati; Wolfgang Bolyai as well as J. Bolyai; themathematician Martin Ohm as well as the physicist G.S. Ohm; M. Riesz as well as F. Riesz; H.G. Grassmann as well as H. Grassmann; H.P. Babbage who continued the work of his father C. Babbage; R. Fuchs as well as the more famous L. Fuchs; A. Quetelet as well as L.A.J. Quetelet; P.M. Hahn and Hans Hahn; E. Blaschke and W. Blaschke; J. Picard as well as the more famous C.E. Picard; B. Pascal (of course) and also Ernesto Pascal and Etienne Pascal; and the historically important V.J. Bouniakovskiand W.A. Steklov, seldom mentioned at the time outside the Soviet literature.
Author : J.M. Aarts
Publisher : Springer Science & Business Media
ISBN 13 : 0387782419
Total Pages : 357 pages
Book Rating : 4.3/5 (877 download)
Download or read book Plane and Solid Geometry written by J.M. Aarts and published by Springer Science & Business Media. This book was released on 2009-04-28 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book on Euclidean geometry that covers the standard material in a completely new way, while also introducing a number of new topics that would be suitable as a junior-senior level undergraduate textbook. The author does not begin in the traditional manner with abstract geometric axioms. Instead, he assumes the real numbers, and begins his treatment by introducing such modern concepts as a metric space, vector space notation, and groups, and thus lays a rigorous basis for geometry while at the same time giving the student tools that will be useful in other courses.
Author : Mark A. Armstrong
Publisher : Springer Science & Business Media
ISBN 13 : 1475740344
Total Pages : 197 pages
Book Rating : 4.4/5 (757 download)
Download or read book Groups and Symmetry written by Mark A. Armstrong and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a gentle introduction to the vocabulary and many of the highlights of elementary group theory. Written in an informal style, the material is divided into short sections, each of which deals with an important result or a new idea. Includes more than 300 exercises and approximately 60 illustrations.
Author : S. Mitra
Publisher : Springer Science & Business Media
ISBN 13 : 1468418637
Total Pages : 613 pages
Book Rating : 4.4/5 (684 download)
Download or read book Far-Infrared Properties of Solids written by S. Mitra and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 613 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an account of modern aspects relating far infrared radiation to properties of solids; it encompasses both theoretical and experimental considerations. Written at the gradu ate level, it attempts a threefold purpose; an indication of the breadth of the subject, an in-depth examination of important areas, and reference material to complement a text for a course. The treatment and organization of material here is compatible with a preceding volume of this series on "Optical Properties of Solids." Chapters 1-6 present material concerned principally with experimental considerations necessary to the carrying out of meas urements in the far infrared spectral region. They also serve to provide considerable introductory material for the remaining chap ters which deal with various areas that offer theoretical treat ments utilizing and understanding far infrared properties of solids. Several lectures presented at the Institute could not be in cluded in this book for two reasons: (i) Final versions of the lecture notes suitable for publication never arrived from several lecturers; (ii) Some materials were deliberately left out fro~ this book as they were also presented at an earlier NATO Institute and form part of a preceding volume edited by us in this series. In particular, it is recommended that Chapters 14 and 15, viz., in frared and Raman spectra due to lattice vibrations by S. S. Mitra and impurity induced lattice absorption by L. Genzel in "Optical Properties of Solids'· be read concurrently with the present volume.
Author : Vanderbilt University
Publisher :
ISBN 13 :
Total Pages : 692 pages
Book Rating : 4.:/5 (3 download)
Download or read book Abstracts of Theses written by Vanderbilt University and published by . This book was released on 1941 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Craig D. Jamison
Publisher :
ISBN 13 :
Total Pages : 15 pages
Book Rating : 4.:/5 (994 download)
Download or read book Symmetry Groups of the Five Platonic Solids in R3 written by Craig D. Jamison and published by . This book was released on 1997 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 700 pages
Book Rating : 4.:/5 (45 download)
Download or read book Mathematics Magazine written by and published by . This book was released on 1986 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ian Stewart
Publisher : OUP Oxford
ISBN 13 : 0191652741
Total Pages : 161 pages
Book Rating : 4.1/5 (916 download)
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: In the 1800s mathematicians introduced a formal theory of symmetry: group theory. Now a branch of abstract algebra, this subject first arose in the theory of equations. Symmetry is an immensely important concept in mathematics and throughout the sciences, and its applications range across the entire subject. Symmetry governs the structure of crystals, innumerable types of pattern formation, how systems change their state as parameters vary; and fundamental physics is governed by symmetries in the laws of nature. It is highly visual, with applications that include animal markings, locomotion, evolutionary biology, elastic buckling, waves, the shape of the Earth, and the form of galaxies. In this Very Short Introduction, Ian Stewart demonstrates its deep implications, and shows how it plays a major role in the current search to unify relativity and quantum theory. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
Author : Mildred S. Dresselhaus
Publisher : Springer Science & Business Media
ISBN 13 : 3540328998
Total Pages : 576 pages
Book Rating : 4.5/5 (43 download)
Download or read book Group Theory written by Mildred S. Dresselhaus and published by Springer Science & Business Media. This book was released on 2007-12-18 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise, class-tested book was refined over the authors’ 30 years as instructors at MIT and the University Federal of Minas Gerais (UFMG) in Brazil. The approach centers on the conviction that teaching group theory along with applications helps students to learn, understand and use it for their own needs. Thus, the theoretical background is confined to introductory chapters. Subsequent chapters develop new theory alongside applications so that students can retain new concepts, build on concepts already learned, and see interrelations between topics. Essential problem sets between chapters aid retention of new material and consolidate material learned in previous chapters.
Author : György Darvas
Publisher : Springer Nature
ISBN 13 : 3030880591
Total Pages : 262 pages
Book Rating : 4.0/5 (38 download)
Download or read book Complex Symmetries written by György Darvas and published by Springer Nature. This book was released on 2022-01-01 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of essays on complex symmetries. It is curated, emphasizing the analysis of the symmetries, not the various phenomena that display those symmetries themselves. With this, the volume provides insight to nonspecialist readers into how individual simple symmetries constitute complex symmetry. The authors and the topics cover many different disciplines in various sciences and arts. Simple symmetries, such as reflection, rotation, translation, similitude, and a few other simple manifestations of the phenomenon, are all around, and we are aware of them in our everyday lives. However, there are myriads of complex symmetries (composed of a bulk of simple symmetries) as well. For example, the well-known helix represents the combination of translational and rotational symmetry. Nature produces a great variety of such complex symmetries. So do the arts. The contributions in this volume analyse selected examples (not limited to geometric symmetries). These include physical symmetries, functional (meaning not morphological) symmetries, such as symmetries in the construction of the genetic code, symmetries in human perception (e.g., in geometry education as well as in constructing physical theories), symmetries in fractal structures and structural morphology, including quasicrystal and fullerene structures in stable bindings and their applications in crystallography and architectural design, as well as color symmetries in the arts. The volume is rounded of with beautiful illustrations and presents a fascinating panorama of this interdisciplinary topic.
Author : A. W. Joshi
Publisher : New Age International
ISBN 13 : 9788122409758
Total Pages : 324 pages
Book Rating : 4.4/5 (97 download)
Download or read book Elements of Group Theory for Physicists written by A. W. Joshi and published by New Age International. This book was released on 1997 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematical Study Of Group Theory Was Initiated In The Early Nineteenth Century By Such Mathematicians As Gauss, Cauchy, Abel, Hamilton, Galois, Cayley, And Many Others. However, The Advantages Of Group Theory In Physics Were Not Recognized Till 1925 When It Was Applied For Formal Study Of Theoretical Foundations Of Quantum Mechanics, Atomic Structures And Spectra By, To Name A Few, H A Bethe, E P Wigner, Etc. It Has Now Become Indispensable In Several Branches Of Physics And Physical Chemistry.Dr. Joshi Develops The Mathematics Of Group Theory And Then Goes On To Present Its Applications To Quantum Mechanics, Crystallography, And Solid State Physics. For Proper Comprehension Of Representation Theory, He Has Covered Thoroughly Such Diverse But Relevant Topics As Hilbert Spaces, Function Spaces, Operators, And Direct Sum And Product Of Matrices. He Often Proceeds From The Particular To The General So That The Beginning Student Does Not Have An Impression That Group Theory Is Merely A Branch Of Abstract Mathematics. Various Concepts Have Been Explained Consistently By The Use Of The C4V. Besides, It Contains An Improved And More General Proof Of The Schurs First Lemma And An Interpretation Of The Orthogonality Theorem In The Language Of Vector Spaces (Chapter 3).Throughout The Text The Author Gives Attention To Details And Avoids Complicated Notation. This Is A Valuable Book For Senior Students And Researchers In Physics And Physical Chemistry. A Thorough Understanding Of The Methodology And Results Contained In This Book Will Provide The Reader Sound Theoretical Foundations For Advanced Study Of Quantum Mechanics, Solid State Physics And Atomic And Particle Physics To Help Students A Flow-Chart Explaining Step By Step The Method Of Determining A Parallel-Running Example Illustrating The Procedure In Full Details Have Been Included. An Appendix On Mappings And Functions Has Also Been Added.
Author : James McKeen Cattell
Publisher :
ISBN 13 :
Total Pages : 888 pages
Book Rating : 4.3/5 (91 download)
Download or read book School & Society written by James McKeen Cattell and published by . This book was released on 1936 with total page 888 pages. Available in PDF, EPUB and Kindle. Book excerpt:
