Series And Products In The Development Of Mathematics Volume 1

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Series and Products in the Development of Mathematics: Volume 1

Author : Ranjan Roy
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.

Series and Products in the Development of Mathematics: Volume 2

Author : Ranjan Roy
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.

Sources in the Development of Mathematics

Author : Ranjan Roy
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

Author : E. T. Bell
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.

The Great Mathematicians of Bharat

Author : Partha Pratim Ray
Publisher : Rajmangal Prakashan
ISBN 13 :
Total Pages : 685 pages
Book Rating : 4./5 ( download)

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Book Synopsis The Great Mathematicians of Bharat by : Partha Pratim Ray

Download or read book The Great Mathematicians of Bharat written by Partha Pratim Ray and published by Rajmangal Prakashan. This book was released on 2023-12-20 with total page 685 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The Great Mathematicians of Bharat" emerges as a seminal work, aligning perfectly with the vision of the National Education Policy (NEP) 2020, which emphasizes the integration and appreciation of Indian Knowledge Systems (IKS) in contemporary education. This book meticulously documents the rich legacy of India's mathematical geniuses, serving as a crucial resource in rekindling interest and respect for Bharat's profound mathematical traditions. It underscores the symbiotic relationship between cultural ethos and scientific inquiry, highlighting how Indian mathematicians not only contributed to the field of mathematics but also how their work was deeply interwoven with Hindu spiritual and cultural practices. By chronicling the journey from ancient sages to modern masters, the book provides a comprehensive view of the evolution of mathematical thought in Bharat, thus fulfilling NEP 2020's objective of integrating indigenous knowledge with modern academic frameworks. In doing so, it not only educates but also inspires, setting a precedent for future academic endeavours to explore and celebrate India's rich intellectual heritage.

Series and Products in the Development of Mathematics

Author : Ranjan Roy
Publisher : Cambridge University Press
ISBN 13 : 1108709370
Total Pages : 479 pages
Book Rating : 4.1/5 (87 download)

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

Download or read book Series and Products in the Development of Mathematics written by Ranjan Roy and published by Cambridge University Press. This book was released on 2021-03-18 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: Second of two volumes tracing the development of series and products. Second edition adds extensive material from original works.

A History of Mathematics in the United States and Canada

Author : David E. Zitarelli
Publisher : American Mathematical Society
ISBN 13 : 1470472570
Total Pages : 500 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis A History of Mathematics in the United States and Canada by : David E. Zitarelli

Download or read book A History of Mathematics in the United States and Canada written by David E. Zitarelli and published by American Mathematical Society. This book was released on 2022-10-25 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first truly comprehensive and thorough history of the development of mathematics and a mathematical community in the United States and Canada. This first volume of the multi-volume work takes the reader from the European encounters with North America in the fifteenth century up to the emergence of a research community the United States in the last quarter of the nineteenth. In the story of the colonial period, particular emphasis is given to several prominent colonial figures—Jefferson, Franklin, and Rittenhouse—and four important early colleges—Harvard, Québec, William & Mary, and Yale. During the first three-quarters of the nineteenth century, mathematics in North America was largely the occupation of scattered individual pioneers: Bowditch, Farrar, Adrain, B. Peirce. This period is given a fuller treatment here than previously in the literature, including the creation of the first PhD programs and attempts to form organizations and found journals. With the founding of Johns Hopkins in 1876 the American mathematical research community was finally, and firmly, founded. The programs at Hopkins, Chicago, and Clark are detailed as are the influence of major European mathematicians including especially Klein, Hilbert, and Sylvester. Klein's visit to the US and his Evanston Colloquium are extensively detailed. The founding of the American Mathematical Society is thoroughly discussed. David Zitarelli was emeritus Professor of Mathematics at Temple University. A decorated and acclaimed teacher, scholar, and expositor, he was one of the world's leading experts on the development of American mathematics. Author or co-author of over a dozen books, this was his magnum opus—sure to become the leading reference on the topic and essential reading, not just for historians. In clear and compelling prose Zitarelli spins a tale accessible to experts, generalists, and anyone interested in the history of science in North America.

A Short Account of the History of Mathematics

Author : Walter William Rouse Ball
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:

Science Formative Assessment, Volume 1

Author : Page Keeley
Publisher : Corwin Press
ISBN 13 : 1483352196
Total Pages : 307 pages
Book Rating : 4.4/5 (833 download)

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Book Synopsis Science Formative Assessment, Volume 1 by : Page Keeley

Download or read book Science Formative Assessment, Volume 1 written by Page Keeley and published by Corwin Press. This book was released on 2015-09-09 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: Formative assessment informs the design of learning opportunities that take students from their existing ideas of science to the scientific ideas and practices that support conceptual understanding. Science Formative Assessment shows K-12 educators how to weave formative assessment into daily instruction. Discover 75 assessment techniques linked to the Next Generation Science Standards and give classroom practices a boost with: Descriptions of how each technique promotes learning Charts linking core concepts at each grade level to scientific practices Implementation guidance, such as required materials and student grouping Modifications for different learning styles Ideas for adapting techniques to other content areas

What's Happening in the Mathematical Sciences

Author : Barry Cipra
Publisher : American Mathematical Soc.
ISBN 13 : 9780821890431
Total Pages : 108 pages
Book Rating : 4.8/5 (94 download)

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Book Synopsis What's Happening in the Mathematical Sciences by : Barry Cipra

Download or read book What's Happening in the Mathematical Sciences written by Barry Cipra and published by American Mathematical Soc.. This book was released on with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematicians like to point out that mathematics is universal. In spite of this, most people continue to view it as either mundane (balancing a checkbook) or mysterious (cryptography). This fifth volume of the What's Happening series contradicts that view by showing that mathematics is indeed found everywhere-in science, art, history, and our everyday lives. Here is some of what you'll find in this volume: Mathematics and Science Mathematical biology: Mathematics was key tocracking the genetic code. Now, new mathematics is needed to understand the three-dimensional structure of the proteins produced from that code. Celestial mechanics and cosmology: New methods have revealed a multitude of solutions to the three-body problem. And other new work may answer one of cosmology'smost fundamental questions: What is the size and shape of the universe? Mathematics and Everyday Life Traffic jams: New models are helping researchers understand where traffic jams come from-and maybe what to do about them! Small worlds: Researchers have found a short distance from theory to applications in the study of small world networks. Elegance in Mathematics Beyond Fermat's Last Theorem: Number theorists are reaching higher ground after Wiles' astounding 1994 proof: new developments inthe elegant world of elliptic curves and modular functions. The Millennium Prize Problems: The Clay Mathematics Institute has offered a million dollars for solutions to seven important and difficult unsolved problems. These are just some of the topics of current interest that are covered in thislatest volume of What's Happening in the Mathematical Sciences. The book has broad appeal for a wide spectrum of mathematicians and scientists, from high school students through advanced-level graduates and researchers.

The Nature of Mathematics

Author : Philip E. B. Jourdain
Publisher : Courier Corporation
ISBN 13 : 0486154963
Total Pages : 82 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis The Nature of Mathematics by : Philip E. B. Jourdain

Download or read book The Nature of Mathematics written by Philip E. B. Jourdain and published by Courier Corporation. This book was released on 2013-01-09 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: Anyone interested in mathematics will appreciate this survey, which explores the distinction between the body of knowledge known as mathematics and the methods used in its discovery. 1913 edition.

The World of Mathematics

Author : James Roy Newman
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.

A History of Japanese Mathematics

Author : David Eugene Smith
Publisher :
ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis A History of Japanese Mathematics by : David Eugene Smith

Download or read book A History of Japanese Mathematics written by David Eugene Smith and published by . This book was released on 1914 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematics at Work

Author : Holbrook Lynedon Horton
Publisher :
ISBN 13 :
Total Pages : 750 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Mathematics at Work by : Holbrook Lynedon Horton

Download or read book Mathematics at Work written by Holbrook Lynedon Horton and published by . This book was released on 1957 with total page 750 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fourth edition retains the original purpose which has made this book such a large success through every one of its previous editions: to effectively help its readers solve a wide array of mathematical problems specifically related to mechanical work. Aside from its unique compilation of mathematical problems, this book is renowned for its ability to duplicate, as far as possible, personal instruction. Its usefulness as a self-learning guide for the mathematics of mechanical problems is therefore unexcelled. Distinctive Features -The entire text has been carefully reviewed and edited where necessary for greater clarity and accuracy. -Includes new problem materials. -At the request of many users, it now includes trigonometric and common logarithm tables.

Principles of Mathematics Book 1 Set

Author : Katherine Loop
Publisher : Master Books
ISBN 13 : 9780890519141
Total Pages : 0 pages
Book Rating : 4.5/5 (191 download)

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Book Synopsis Principles of Mathematics Book 1 Set by : Katherine Loop

Download or read book Principles of Mathematics Book 1 Set written by Katherine Loop and published by Master Books. This book was released on 2016-09-02 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Katherine Loop has done the remarkable! She has written a solid math course with a truly Biblical worldview. This course goes way beyond the same old Christian math course that teaches math with a few Scriptures sprinkled in and maybe some church-based word problems. This course truly transforms the way we see math. Katherine makes the argument that math is not a neutral subject as most have come to believe. She carefully lays the foundation of how math points to our Creator, the God of the Bible. The nature of God, His Creation, and even the Gospel itself is seen through the study of math. Katherine does a marvelous job of revealing His Glory in this one-of-a-kind math course. Katherine Loop's Principles of Mathematics Biblical Worldview Curriculum is a first of its kind. It takes math to a whole new level students and parents are going to love. It is a guaranteed faith grower!

The History of Mathematics

Author : David M. Burton
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.

Essential Mathematics for Games and Interactive Applications

Author : James M. Van Verth
Publisher : CRC Press
ISBN 13 : 0123742978
Total Pages : 706 pages
Book Rating : 4.1/5 (237 download)

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Book Synopsis Essential Mathematics for Games and Interactive Applications by : James M. Van Verth

Download or read book Essential Mathematics for Games and Interactive Applications written by James M. Van Verth and published by CRC Press. This book was released on 2008-05-19 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: Essential Mathematics for Games and Interactive Applications, 2nd edition presents the core mathematics necessary for sophisticated 3D graphics and interactive physical simulations. The book begins with linear algebra and matrix multiplication and expands on this foundation to cover such topics as color and lighting, interpolation, animation and basic game physics. Essential Mathematics focuses on the issues of 3D game development important to programmers and includes optimization guidance throughout. The new edition Windows code will now use Visual Studio.NET. There will also be DirectX support provided, along with OpenGL - due to its cross-platform nature. Programmers will find more concrete examples included in this edition, as well as additional information on tuning, optimization and robustness. The book has a companion CD-ROM with exercises and a test bank for the academic secondary market, and for main market: code examples built around a shared code base, including a math library covering all the topics presented in the book, a core vector/matrix math engine, and libraries to support basic 3D rendering and interaction.