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Author : Nicolas Bourbaki
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (776 download)
Download or read book Elements of Mathematics written by Nicolas Bourbaki and published by . This book was released on 1966 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Nicolas Bourbaki
Publisher :
ISBN 13 :
Total Pages : 432 pages
Book Rating : 4.3/5 (121 download)
Download or read book Elements of Mathematics written by Nicolas Bourbaki and published by . This book was released on 1968 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : N. Bourbaki
Publisher : Springer Science & Business Media
ISBN 13 : 9783540642435
Total Pages : 750 pages
Book Rating : 4.6/5 (424 download)
Download or read book Algebra I written by N. Bourbaki and published by Springer Science & Business Media. This book was released on 1998-08-03 with total page 750 pages. Available in PDF, EPUB and Kindle. Book excerpt: An exposition of the fundamentals of general, linear and multilinear algebra. The first chapter introduces the basic objects: groups, actions, rings, fields. The second chapter studies the properties of modules and linear maps, and the third investigatesalgebras, particularly tensor algebras.
Author : N. Bourbaki
Publisher : Springer Science & Business Media
ISBN 13 : 9783540647676
Total Pages : 316 pages
Book Rating : 4.6/5 (476 download)
Download or read book Elements of the History of Mathematics written by N. Bourbaki and published by Springer Science & Business Media. This book was released on 1998-11-18 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Each volume of Nicolas Bourbakis well-known work, The Elements of Mathematics, contains a section or chapter devoted to the history of the subject. This book collects together those historical segments with an emphasis on the emergence, development, and interaction of the leading ideas of the mathematical theories presented in the Elements. In particular, the book provides a highly readable account of the evolution of algebra, geometry, infinitesimal calculus, and of the concepts of number and structure, from the Babylonian era through to the 20th century.
Author : John Stillwell
Publisher : Princeton University Press
ISBN 13 : 0691171688
Total Pages : 440 pages
Book Rating : 4.6/5 (911 download)
Download or read book Elements of Mathematics written by John Stillwell and published by Princeton University Press. This book was released on 2016 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: An exciting look at the world of elementary mathematics Elements of Mathematics takes readers on a fascinating tour that begins in elementary mathematics--but, as John Stillwell shows, this subject is not as elementary or straightforward as one might think. Not all topics that are part of today's elementary mathematics were always considered as such, and great mathematical advances and discoveries had to occur in order for certain subjects to become "elementary." Stillwell examines elementary mathematics from a distinctive twenty-first-century viewpoint and describes not only the beauty and scope of the discipline, but also its limits. From Gaussian integers to propositional logic, Stillwell delves into arithmetic, computation, algebra, geometry, calculus, combinatorics, probability, and logic. He discusses how each area ties into more advanced topics to build mathematics as a whole. Through a rich collection of basic principles, vivid examples, and interesting problems, Stillwell demonstrates that elementary mathematics becomes advanced with the intervention of infinity. Infinity has been observed throughout mathematical history, but the recent development of "reverse mathematics" confirms that infinity is essential for proving well-known theorems, and helps to determine the nature, contours, and borders of elementary mathematics. Elements of Mathematics gives readers, from high school students to professional mathematicians, the highlights of elementary mathematics and glimpses of the parts of math beyond its boundaries.
Author : N. Bourbaki
Publisher : Springer Science & Business Media
ISBN 13 : 3642617158
Total Pages : 368 pages
Book Rating : 4.6/5 (426 download)
Download or read book Topological Vector Spaces written by N. Bourbaki and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a softcover reprint of the 1987 English translation of the second edition of Bourbaki's Espaces Vectoriels Topologiques. Much of the material has been rearranged, rewritten, or replaced by a more up-to-date exposition, and a good deal of new material has been incorporated in this book, reflecting decades of progress in the field.
Author : N. Bourbaki
Publisher : Springer Science & Business Media
ISBN 13 : 3642593151
Total Pages : 343 pages
Book Rating : 4.6/5 (425 download)
Download or read book Functions of a Real Variable written by N. Bourbaki and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an English translation of Bourbaki’s Fonctions d'une Variable Réelle. Coverage includes: functions allowed to take values in topological vector spaces, asymptotic expansions are treated on a filtered set equipped with a comparison scale, theorems on the dependence on parameters of differential equations are directly applicable to the study of flows of vector fields on differential manifolds, etc.
Author : Serge Lang
Publisher : Springer Science & Business Media
ISBN 13 : 1475768982
Total Pages : 380 pages
Book Rating : 4.4/5 (757 download)
Download or read book Undergraduate Algebra written by Serge Lang and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: The companion title, Linear Algebra, has sold over 8,000 copies The writing style is very accessible The material can be covered easily in a one-year or one-term course Includes Noah Snyder's proof of the Mason-Stothers polynomial abc theorem New material included on product structure for matrices including descriptions of the conjugation representation of the diagonal group
Author : Steven G. Krantz
Publisher : CRC Press
ISBN 13 : 1439898340
Total Pages : 368 pages
Book Rating : 4.4/5 (398 download)
Download or read book Elements of Advanced Mathematics, Third Edition written by Steven G. Krantz and published by CRC Press. This book was released on 2012-03-19 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: For many years, this classroom-tested, best-selling text has guided mathematics students to more advanced studies in topology, abstract algebra, and real analysis. Elements of Advanced Mathematics, Third Edition retains the content and character of previous editions while making the material more up-to-date and significant. This third edition adds four new chapters on point-set topology, theoretical computer science, the P/NP problem, and zero-knowledge proofs and RSA encryption. The topology chapter builds on the existing real analysis material. The computer science chapters connect basic set theory and logic with current hot topics in the technology sector. Presenting ideas at the cutting edge of modern cryptography and security analysis, the cryptography chapter shows students how mathematics is used in the real world and gives them the impetus for further exploration. This edition also includes more exercises sets in each chapter, expanded treatment of proofs, and new proof techniques. Continuing to bridge computationally oriented mathematics with more theoretically based mathematics, this text provides a path for students to understand the rigor, axiomatics, set theory, and proofs of mathematics. It gives them the background, tools, and skills needed in more advanced courses.
Author : N. Bourbaki
Publisher : Springer Science & Business Media
ISBN 13 : 3642616933
Total Pages : 299 pages
Book Rating : 4.6/5 (426 download)
Download or read book Elements of the History of Mathematics written by N. Bourbaki and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: Each volume of Nicolas Bourbakis well-known work, The Elements of Mathematics, contains a section or chapter devoted to the history of the subject. This book collects together those historical segments with an emphasis on the emergence, development, and interaction of the leading ideas of the mathematical theories presented in the Elements. In particular, the book provides a highly readable account of the evolution of algebra, geometry, infinitesimal calculus, and of the concepts of number and structure, from the Babylonian era through to the 20th century.
Author : Marc Peter Deisenroth
Publisher : Cambridge University Press
ISBN 13 : 1108569323
Total Pages : 392 pages
Book Rating : 4.1/5 (85 download)
Download or read book Mathematics for Machine Learning written by Marc Peter Deisenroth and published by Cambridge University Press. This book was released on 2020-04-23 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fundamental mathematical tools needed to understand machine learning include linear algebra, analytic geometry, matrix decompositions, vector calculus, optimization, probability and statistics. These topics are traditionally taught in disparate courses, making it hard for data science or computer science students, or professionals, to efficiently learn the mathematics. This self-contained textbook bridges the gap between mathematical and machine learning texts, introducing the mathematical concepts with a minimum of prerequisites. It uses these concepts to derive four central machine learning methods: linear regression, principal component analysis, Gaussian mixture models and support vector machines. For students and others with a mathematical background, these derivations provide a starting point to machine learning texts. For those learning the mathematics for the first time, the methods help build intuition and practical experience with applying mathematical concepts. Every chapter includes worked examples and exercises to test understanding. Programming tutorials are offered on the book's web site.
Author : Erich Steiner
Publisher : Oxford University Press
ISBN 13 : 9780199205356
Total Pages : 681 pages
Book Rating : 4.2/5 (53 download)
Download or read book The Chemistry Maths Book written by Erich Steiner and published by Oxford University Press. This book was released on 2008 with total page 681 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Topics are organized into three parts: algebra, calculus, differential equations, and expansions in series; vectors, determinants and matrices; and numerical analysis and statistics. The extensive use of examples illustrates every important concept and method in the text, and are used to demonstrate applications of the mathematics in chemistry and several basic concepts in physics. The exercises at the end of each chapter, are an essential element of the development of the subject, and have been designed to give students a working understanding of the material in the text."--BOOK JACKET.
Author : Thierry Vialar
Publisher : BoD - Books on Demand
ISBN 13 : 2955199001
Total Pages : 1134 pages
Book Rating : 4.9/5 (551 download)
Download or read book Handbook of Mathematics written by Thierry Vialar and published by BoD - Books on Demand. This book was released on 2016-12-07 with total page 1134 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book consists of XI Parts and 28 Chapters covering all areas of mathematics. It is a tool for students, scientists, engineers, students of many disciplines, teachers, professionals, writers and also for a general reader with an interest in mathematics and in science. It provides a wide range of mathematical concepts, definitions, propositions, theorems, proofs, examples, and numerous illustrations. The difficulty level can vary depending on chapters, and sustained attention will be required for some. The structure and list of Parts are quite classical: I. Foundations of Mathematics, II. Algebra, III. Number Theory, IV. Geometry, V. Analytic Geometry, VI. Topology, VII .Algebraic Topology, VIII. Analysis, IX. Category Theory, X. Probability and Statistics, XI. Applied Mathematics. Appendices provide useful lists of symbols and tables for ready reference. The publisher’s hope is that this book, slightly revised and in a convenient format, will serve the needs of readers, be it for study, teaching, exploration, work, or research.
Author : Etienne Bézout
Publisher :
ISBN 13 :
Total Pages : 222 pages
Book Rating : 4.3/5 (91 download)
Download or read book First Principles of the Differential and Integral Calculus, Or, the Doctrines of Fluxions written by Etienne Bézout and published by . This book was released on 1824 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Maurice Mashaal
Publisher : American Mathematical Soc.
ISBN 13 : 9780821839676
Total Pages : 190 pages
Book Rating : 4.8/5 (396 download)
Download or read book Bourbaki written by Maurice Mashaal and published by American Mathematical Soc.. This book was released on 2006 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: The name Bourbaki is known to every mathematician. This book presents accounts of the origins of Bourbaki, their meetings, their seminars, and the members themselves. It also discusses the lasting influence that Bourbaki has had on mathematics, through both the Elements and the Seminaires.
Author : B. Rosenfeld
Publisher : Springer Science & Business Media
ISBN 13 : 147575325X
Total Pages : 414 pages
Book Rating : 4.4/5 (757 download)
Download or read book Geometry of Lie Groups written by B. Rosenfeld and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the result of many years of research in Non-Euclidean Geometries and Geometry of Lie groups, as well as teaching at Moscow State University (1947- 1949), Azerbaijan State University (Baku) (1950-1955), Kolomna Pedagogical Col lege (1955-1970), Moscow Pedagogical University (1971-1990), and Pennsylvania State University (1990-1995). My first books on Non-Euclidean Geometries and Geometry of Lie groups were written in Russian and published in Moscow: Non-Euclidean Geometries (1955) [Ro1] , Multidimensional Spaces (1966) [Ro2] , and Non-Euclidean Spaces (1969) [Ro3]. In [Ro1] I considered non-Euclidean geometries in the broad sense, as geometry of simple Lie groups, since classical non-Euclidean geometries, hyperbolic and elliptic, are geometries of simple Lie groups of classes Bn and D , and geometries of complex n and quaternionic Hermitian elliptic and hyperbolic spaces are geometries of simple Lie groups of classes An and en. [Ro1] contains an exposition of the geometry of classical real non-Euclidean spaces and their interpretations as hyperspheres with identified antipodal points in Euclidean or pseudo-Euclidean spaces, and in projective and conformal spaces. Numerous interpretations of various spaces different from our usual space allow us, like stereoscopic vision, to see many traits of these spaces absent in the usual space.
Author : Emily Riehl
Publisher : Cambridge University Press
ISBN 13 : 1108952194
Total Pages : 782 pages
Book Rating : 4.1/5 (89 download)
Download or read book Elements of ∞-Category Theory written by Emily Riehl and published by Cambridge University Press. This book was released on 2022-02-10 with total page 782 pages. Available in PDF, EPUB and Kindle. Book excerpt: The language of ∞-categories provides an insightful new way of expressing many results in higher-dimensional mathematics but can be challenging for the uninitiated. To explain what exactly an ∞-category is requires various technical models, raising the question of how they might be compared. To overcome this, a model-independent approach is desired, so that theorems proven with any model would apply to them all. This text develops the theory of ∞-categories from first principles in a model-independent fashion using the axiomatic framework of an ∞-cosmos, the universe in which ∞-categories live as objects. An ∞-cosmos is a fertile setting for the formal category theory of ∞-categories, and in this way the foundational proofs in ∞-category theory closely resemble the classical foundations of ordinary category theory. Equipped with exercises and appendices with background material, this first introduction is meant for students and researchers who have a strong foundation in classical 1-category theory.
