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Author: Hans Wussing
Publisher: Courier Corporation
Published: 2007-01-01
Total Pages: 338
ISBN-13: 0486458687
DOWNLOAD EBOOK"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
Published: 2007-09-20
Total Pages: 175
ISBN-13: 081764685X
DOWNLOAD EBOOKThis book does nothing less than provide an account of the intellectual lineage of abstract algebra. The development of abstract algebra was propelled by the need for new tools to address certain classical problems that appeared insoluble by classical means. A major theme of the book is to show 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. Mathematics instructors, algebraists, and historians of science will find the work a valuable reference.
Author: Michiel Hazewinkel
Publisher: Springer Science & Business Media
Published: 1988
Total Pages: 540
ISBN-13: 9781556080036
DOWNLOAD EBOOKV.1. A-B v.2. C v.3. D-Feynman Measure. v.4. Fibonaccimethod H v.5. Lituus v.6. Lobachevskii Criterion (for Convergence)-Optical Sigman-Algebra. v.7. Orbi t-Rayleigh Equation. v.8. Reaction-Diffusion Equation-Stirling Interpolation Fo rmula. v.9. Stochastic Approximation-Zygmund Class of Functions. v.10. Subject Index-Author Index.
Author: Charles C Pinter
Publisher: Courier Corporation
Published: 2010-01-14
Total Pages: 402
ISBN-13: 0486474178
DOWNLOAD EBOOKAccessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.
Author: David A.R. Wallace
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 256
ISBN-13: 1447104250
DOWNLOAD EBOOKThis is a basic introduction to modern algebra, providing a solid understanding of the axiomatic treatment of groups and then rings, aiming to promote a feeling for the evolutionary and historical development of the subject. It includes problems and fully worked solutions, enabling readers to master the subject rather than simply observing it.
Author: Hans-Joachim Petsche
Publisher: Springer Science & Business Media
Published: 2009-12-30
Total Pages: 320
ISBN-13: 3764388609
DOWNLOAD EBOOKHermann Günther Graßmann was one of the most remarkable personalities in 19th-century science. A "small-town genius", he developed a groundbreaking n-dimensional algebra of space and contributed to a revolution in the understanding of mathematics. His work fascinated great mathematicians such as W. R. Hamilton, J. W. Gibbs and A. N. Whitehead. This intellectual biography traces Graßmann’s steps towards scientific brilliance by untangling a complicated web of influences: the force of unsolved problems in mathematics, Friedrich Schleiermacher’s Dialectic, German Romanticism and life in 19th-century Prussia. The book also introduces the reader to the details of Graßmann’s mathematical work without neglecting his achievements in Sanskrit philology and physics. And, for the first time, it makes many original sources accessible to the English-language reader.
Author: B. Chandler
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 240
ISBN-13: 1461394872
DOWNLOAD EBOOKOne of the pervasive phenomena in the history of science is the development of independent disciplines from the solution or attempted solutions of problems in other areas of science. In the Twentieth Century, the creation of specialties witqin the sciences has accelerated to the point where a large number of scientists in any major branch of science cannot understand the work of a colleague in another subdiscipline of his own science. Despite this fragmentation, the development of techniques or solutions of problems in one area very often contribute fundamentally to solutions of problems in a seemingly unrelated field. Therefore, an examination of this phenomenon of the formation of independent disciplines within the sciences would contrib ute to the understanding of their evolution in modern times. We believe that in this context the history of combinatorial group theory in the late Nineteenth Century and the Twentieth Century can be used effectively as a case study. It is a reasonably well-defined independent specialty, and yet it is closely related to other mathematical disciplines. The fact that combinatorial group theory has, so far, not been influenced by the practical needs of science and technology makes it possible for us to use combinatorial group theory to exhibit the role of the intellectual aspects of the development of mathematics in a clearcut manner. There are other features of combinatorial group theory which appear to make it a reasona ble choice as the object of a historical study.
Author: Arne Hessenbruch
Publisher: Routledge
Published: 2013-12-16
Total Pages: 965
ISBN-13: 1134262949
DOWNLOAD EBOOKThe Reader's Guide to the History of Science looks at the literature of science in some 550 entries on individuals (Einstein), institutions and disciplines (Mathematics), general themes (Romantic Science) and central concepts (Paradigm and Fact). The history of science is construed widely to include the history of medicine and technology as is reflected in the range of disciplines from which the international team of 200 contributors are drawn.
Author: Shlomo Sternberg
Publisher: Cambridge University Press
Published: 1995-09-07
Total Pages: 456
ISBN-13: 9780521558853
DOWNLOAD EBOOKThis textbook, based on courses taught at Harvard University, is an introduction to group theory and its application to physics. The physical applications are considered as the mathematical theory is developed so that the presentation is unusually cohesive and well-motivated. Many modern topics are dealt with, and there is much discussion of the group SU(n) and its representations. This is of great significance in elementary particle physics. Applications to solid state physics are also considered. This stimulating account will prove to be an essential resource for senior undergraduate students and their teachers.
Author: Jean Lassègue
Publisher: Springer Nature
Published: 2020-03-11
Total Pages: 198
ISBN-13: 3030429059
DOWNLOAD EBOOKThis book presents the transformation of Cassirer’s transcendental point of view. At an early stage, Cassirer was confronted with a scientific crisis triggered by the emergence of various forms of objective knowledge, such as the plurality of geometric axiom systems and non-Euclidean geometry in relativistic physics. He finally developed a solution to the problematic unity of objective knowledge by replacing the overarching notion of objectivity with that of forms of objectification. This led him to consider the notion of “symbolic forms” as the driving force in the objectification process. This concept would become instrumental in demonstrating that the objective and human sciences are not adversaries; they merely differ in their modes of semiotic construction. These modes cannot be summarized in a fixed list of symbolic forms but operate transversally, at a level where Cassirer distinguishes between three specific operators: Expression, Evocation and Objectification. The last part of the book investigates how the relationships between these three operators stabilize specific symbolic forms. Four of these forms are then studied as examples: Myth and Ritual, Language, Scientific Knowledge, and Technology.
