Series and Products in the Development of Mathematics: Volume 2

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Publisher : Cambridge University Press
ISBN 13 : 1108573150
Total Pages : 480 pages
Book Rating : 4.1/5 (85 download)

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Book Synopsis Series and Products in the Development of Mathematics: Volume 2 by : Ranjan Roy

Download or read book Series and Products in the Development of Mathematics: Volume 2 written by Ranjan Roy and published by Cambridge University Press. This book was released on 2021-03-18 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second volume of a two-volume work that traces the development of series and products from 1380 to 2000 by presenting and explaining the interconnected concepts and results of hundreds of unsung as well as celebrated mathematicians. Some chapters deal with the work of primarily one mathematician on a pivotal topic, and other chapters chronicle the progress over time of a given topic. This updated second edition of Sources in the Development of Mathematics adds extensive context, detail, and primary source material, with many sections rewritten to more clearly reveal the significance of key developments and arguments. Volume 1, accessible even to advanced undergraduate students, discusses the development of the methods in series and products that do not employ complex analytic methods or sophisticated machinery. Volume 2 examines more recent results, including deBranges' resolution of Bieberbach's conjecture and Nevanlinna's theory of meromorphic functions.

Series and Products in the Development of Mathematics: Volume 1

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Publisher : Cambridge University Press
ISBN 13 : 1108573185
Total Pages : pages
Book Rating : 4.1/5 (85 download)

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Book Synopsis Series and Products in the Development of Mathematics: Volume 1 by : Ranjan Roy

Download or read book Series and Products in the Development of Mathematics: Volume 1 written by Ranjan Roy and published by Cambridge University Press. This book was released on 2021-03-18 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume of a two-volume work that traces the development of series and products from 1380 to 2000 by presenting and explaining the interconnected concepts and results of hundreds of unsung as well as celebrated mathematicians. Some chapters deal with the work of primarily one mathematician on a pivotal topic, and other chapters chronicle the progress over time of a given topic. This updated second edition of Sources in the Development of Mathematics adds extensive context, detail, and primary source material, with many sections rewritten to more clearly reveal the significance of key developments and arguments. Volume 1, accessible to even advanced undergraduate students, discusses the development of the methods in series and products that do not employ complex analytic methods or sophisticated machinery. Volume 2 treats more recent work, including deBranges' solution of Bieberbach's conjecture, and requires more advanced mathematical knowledge.

Sources in the Development of Mathematics

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Publisher : Cambridge University Press
ISBN 13 : 1139497758
Total Pages : pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Sources in the Development of Mathematics by : Ranjan Roy

Download or read book Sources in the Development of Mathematics written by Ranjan Roy and published by Cambridge University Press. This book was released on 2011-06-13 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The discovery of infinite products by Wallis and infinite series by Newton marked the beginning of the modern mathematical era. It allowed Newton to solve the problem of finding areas under curves defined by algebraic equations, an achievement beyond the scope of the earlier methods of Torricelli, Fermat and Pascal. While Newton and his contemporaries, including Leibniz and the Bernoullis, concentrated on mathematical analysis and physics, Euler's prodigious accomplishments demonstrated that series and products could also address problems in algebra, combinatorics and number theory. In this book, Ranjan Roy describes many facets of the discovery and use of infinite series and products as worked out by their originators, including mathematicians from Asia, Europe and America. The text provides context and motivation for these discoveries, with many detailed proofs, offering a valuable perspective on modern mathematics. Mathematicians, mathematics students, physicists and engineers will all read this book with benefit and enjoyment.

The Development of Mathematics

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Publisher : Courier Corporation
ISBN 13 : 0486152286
Total Pages : 657 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis The Development of Mathematics by : E. T. Bell

Download or read book The Development of Mathematics written by E. T. Bell and published by Courier Corporation. This book was released on 2012-09-11 with total page 657 pages. Available in PDF, EPUB and Kindle. Book excerpt: Time-honored study by a prominent scholar of mathematics traces decisive epochs from the evolution of mathematical ideas in ancient Egypt and Babylonia to major breakthroughs in the 19th and 20th centuries. 1945 edition.

Representations and Cohomology: Volume 2, Cohomology of Groups and Modules

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Publisher : Cambridge University Press
ISBN 13 : 9780521636520
Total Pages : 296 pages
Book Rating : 4.6/5 (365 download)

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Book Synopsis Representations and Cohomology: Volume 2, Cohomology of Groups and Modules by : D. J. Benson

Download or read book Representations and Cohomology: Volume 2, Cohomology of Groups and Modules written by D. J. Benson and published by Cambridge University Press. This book was released on 1991-08-22 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: A further introduction to modern developments in the representation theory of finite groups and associative algebras.

Methods of Mathematical Physics

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Publisher : John Wiley & Sons
ISBN 13 : 3527617248
Total Pages : 852 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Methods of Mathematical Physics by : Richard Courant

Download or read book Methods of Mathematical Physics written by Richard Courant and published by John Wiley & Sons. This book was released on 2008-09-26 with total page 852 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the first volume of this work came out in Germany in 1937, this book, together with its first volume, has remained standard in the field. Courant and Hilbert's treatment restores the historically deep connections between physical intuition and mathematical development, providing the reader with a unified approach to mathematical physics. The present volume represents Richard Courant's final revision of 1961.

A Short Account of the History of Mathematics

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Publisher :
ISBN 13 :
Total Pages : 576 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis A Short Account of the History of Mathematics by : Walter William Rouse Ball

Download or read book A Short Account of the History of Mathematics written by Walter William Rouse Ball and published by . This book was released on 1908 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The History of Mathematics: A Source-Based Approach, Volume 2

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Author :
Publisher : American Mathematical Society
ISBN 13 : 1470443821
Total Pages : 703 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis The History of Mathematics: A Source-Based Approach, Volume 2 by : June Barrow-Green

Download or read book The History of Mathematics: A Source-Based Approach, Volume 2 written by June Barrow-Green and published by American Mathematical Society. This book was released on 2022-05-26 with total page 703 pages. Available in PDF, EPUB and Kindle. Book excerpt: The History of Mathematics: A Source-Based Approach is a comprehensive history of the development of mathematics. This, the second volume of a two-volume set, takes the reader from the invention of the calculus to the beginning of the twentieth century. The initial discoverers of calculus are given thorough investigation, and special attention is also paid to Newton's Principia. The eighteenth century is presented as primarily a period of the development of calculus, particularly in differential equations and applications of mathematics. Mathematics blossomed in the nineteenth century and the book explores progress in geometry, analysis, foundations, algebra, and applied mathematics, especially celestial mechanics. The approach throughout is markedly historiographic: How do we know what we know? How do we read the original documents? What are the institutions supporting mathematics? Who are the people of mathematics? The reader learns not only the history of mathematics, but also how to think like a historian. The two-volume set was designed as a textbook for the authors' acclaimed year-long course at the Open University. It is, in addition to being an innovative and insightful textbook, an invaluable resource for students and scholars of the history of mathematics. The authors, each among the most distinguished mathematical historians in the world, have produced over fifty books and earned scholarly and expository prizes from the major mathematical societies of the English-speaking world.

Calculus

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Publisher : Wellesley-Cambridge Press
ISBN 13 : 9780980232752
Total Pages : 500 pages
Book Rating : 4.2/5 (327 download)

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Book Synopsis Calculus by : Gilbert Strang

Download or read book Calculus written by Gilbert Strang and published by Wellesley-Cambridge Press. This book was released on 2017-09-14 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gilbert Strang's clear, direct style and detailed, intensive explanations make this textbook ideal as both a course companion and for self-study. Single variable and multivariable calculus are covered in depth. Key examples of the application of calculus to areas such as physics, engineering and economics are included in order to enhance students' understanding. New to the third edition is a chapter on the 'Highlights of calculus', which accompanies the popular video lectures by the author on MIT's OpenCourseWare. These can be accessed from math.mit.edu/~gs.

The History of Cartography

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Publisher :
ISBN 13 : 9780226534695
Total Pages : 1728 pages
Book Rating : 4.5/5 (346 download)

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Book Synopsis The History of Cartography by : John Brian Harley

Download or read book The History of Cartography written by John Brian Harley and published by . This book was released on 1987 with total page 1728 pages. Available in PDF, EPUB and Kindle. Book excerpt: When the University of Chicago Press launched the landmark History of Cartography series nearly thirty years ago, founding editors J.B. Harley and David Woodward hoped to create a new basis for map history. They did not, however, anticipate the larger renaissance in map studies that the series would inspire. But as the renown of the series and the comprehensiveness and acuity of the present volume demonstrate, the history of cartography has proven to be unexpectedly fertile ground.--Amazon.com.

Resources in Education

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Publisher :
ISBN 13 :
Total Pages : 340 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Resources in Education by :

Download or read book Resources in Education written by and published by . This book was released on 1998 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The World of Mathematics

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Publisher : Courier Corporation
ISBN 13 : 9780486411507
Total Pages : 728 pages
Book Rating : 4.4/5 (115 download)

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Book Synopsis The World of Mathematics by : James Roy Newman

Download or read book The World of Mathematics written by James Roy Newman and published by Courier Corporation. This book was released on 2000-01-01 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vol. 2 of a monumental 4-volume set covers mathematics and the physical world, mathematics and social science, and the laws of chance, with non-technical essays by eminent mathematicians, economists, scientists, and others.

Research in Education

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Publisher :
ISBN 13 :
Total Pages : 1280 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Research in Education by :

Download or read book Research in Education written by and published by . This book was released on 1974 with total page 1280 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Methods For Physicists International Student Edition

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Publisher : Elsevier
ISBN 13 : 0080470696
Total Pages : 1200 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Mathematical Methods For Physicists International Student Edition by : George B. Arfken

Download or read book Mathematical Methods For Physicists International Student Edition written by George B. Arfken and published by Elsevier. This book was released on 2005-07-05 with total page 1200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This best-selling title provides in one handy volume the essential mathematical tools and techniques used to solve problems in physics. It is a vital addition to the bookshelf of any serious student of physics or research professional in the field. The authors have put considerable effort into revamping this new edition. Updates the leading graduate-level text in mathematical physics Provides comprehensive coverage of the mathematics necessary for advanced study in physics and engineering Focuses on problem-solving skills and offers a vast array of exercises Clearly illustrates and proves mathematical relations New in the Sixth Edition: Updated content throughout, based on users' feedback More advanced sections, including differential forms and the elegant forms of Maxwell's equations A new chapter on probability and statistics More elementary sections have been deleted

Advanced Calculus

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Publisher : World Scientific Publishing Company
ISBN 13 : 9814583952
Total Pages : 596 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Advanced Calculus by : Lynn Harold Loomis

Download or read book Advanced Calculus written by Lynn Harold Loomis and published by World Scientific Publishing Company. This book was released on 2014-02-26 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades. This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis. The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives. In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.

The History of Mathematics

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Publisher : WCB/McGraw-Hill
ISBN 13 :
Total Pages : 712 pages
Book Rating : 4.X/5 (4 download)

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Book Synopsis The History of Mathematics by : David M. Burton

Download or read book The History of Mathematics written by David M. Burton and published by WCB/McGraw-Hill. This book was released on 1991 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is designed for the junior/senior mathematics major who intends to teach mathematics in high school or college. It concentrates on the history of those topics typically covered in an undergraduate curriculum or in elementary schools or high schools. At least one year of calculus is a prerequisite for this course. This book contains enough material for a 2 semester course but it is flexible enough to be used in the more common 1 semester course.

Catalogue of Publications

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Publisher :
ISBN 13 :
Total Pages : 206 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis Catalogue of Publications by : Carnegie Institution of Washington

Download or read book Catalogue of Publications written by Carnegie Institution of Washington and published by . This book was released on 1919 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: