Masters Of Mathematics

Author : Frank Swetz,John Fauvel,Otto Bekken,Bengt Johansson,Victor Katz
Publisher : American Mathematical Soc.
Page : 303 pages
File Size : 55,6 Mb
Release : 1995-12-31
Category : Mathematics
ISBN : 9781470458287

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Learn from the Masters by Frank Swetz,John Fauvel,Otto Bekken,Bengt Johansson,Victor Katz Pdf

This book is for high school and college teachers who want to know how they can use the history of mathematics as a pedagogical tool to help their students construct their own knowledge of mathematics. Often, a historical development of a particular topic is the best way to present a mathematical topic, but teachers may not have the time to do the research needed to present the material. This book provides its readers with historical ideas and insights which can be immediately applied in the classroom. The book is divided into two sections: the first on the use of history in high school mathematics, and the second on its use in university mathematics. The articles are diverse, covering fields such as trigonometry, mathematical modeling, calculus, linear algebra, vector analysis, and celestial mechanics. Also included are articles of a somewhat philosophical nature, which give general ideas on why history should be used in teaching and how it can be used in various special kinds of courses. Each article contains a bibliography to guide the reader to further reading on the subject.

Author : Robert A. Nowlan
Publisher : Springer
Page : 24 pages
File Size : 53,5 Mb
Release : 2017-05-13
Category : Education
ISBN : 9789463008938

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Masters of Mathematics by Robert A. Nowlan Pdf

The original title for this work was “Mathematical Literacy, What Is It and Why You Need it”. The current title reflects that there can be no real learning in any subject, unless questions of who, what, when, where, why and how are raised in the minds of the learners. The book is not a mathematical text, and there are no assigned exercises or exams. It is written for reasonably intelligent and curious individuals, both those who value mathematics, aware of its many important applications and others who have been inappropriately exposed to mathematics, leading to indifference to the subject, fear and even loathing. These feelings are all consequences of meaningless presentations, drill, rote learning and being lost as the purpose of what is being studied. Mathematics education needs a radical reform. There is more than one way to accomplish this. Here the author presents his approach of wrapping mathematical ideas in a story. To learn one first must develop an interest in a problem and the curiosity to find how masters of mathematics have solved them. What is necessary to be mathematically literate? It’s not about solving algebraic equations or even making a geometric proof. These are valuable skills but not evidence of literacy. We often seek answers but learning to ask pertinent questions is the road to mathematical literacy. Here is the good news: new mathematical ideas have a way of finding applications. This is known as “the unreasonable effectiveness of mathematics.”

Author : Rob Colson
Publisher : Stem-Gineers
Page : 0 pages
File Size : 52,8 Mb
Release : 2018-12-15
Category : Juvenile Nonfiction
ISBN : 0778758230

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Masters of Math by Rob Colson Pdf

"First published in Great Britain in 2018 by Wayland"--Copyright page.

Author : Thomas A. Garrity
Publisher : 清华大学出版社有限公司
Page : 380 pages
File Size : 42,9 Mb
Release : 2004
Category : Mathematics
ISBN : 7302090858

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All the Mathematics You Missed by Thomas A. Garrity Pdf

Author : Andrew Warwick
Publisher : University of Chicago Press
Page : 587 pages
File Size : 48,8 Mb
Release : 2003-07
Category : Education
ISBN : 9780226873756

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Masters of Theory by Andrew Warwick Pdf

Table of contents

Author : Raymond G. Ayoub
Publisher : American Mathematical Society
Page : 301 pages
File Size : 50,9 Mb
Release : 2004-06-01
Category : Mathematics
ISBN : 9781470458546

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Musings of the Masters by Raymond G. Ayoub Pdf

The anthology is a collection of articles contiguous to the humanities written by renowned mathematicians of the twentieth century. The articles cover a variety of topics that, for want of a better name, shall be referred to as humanistic. An important criterion, thereby limiting the choice, is that the articles should be accessible to the literate reader who may or may not have technical knowledge of mathematics. The articles span roughly a century in time and a wide range in subject. They are by mathematicians acknowledged by their peers as outstanding creators whose work has added richly to the discipline. Each article is preceded by a brief biographical sketch of the author and a brief indication of the content. The material is accessible to a wide audience, lay as well as academic.

Author : Charles J. Colbourn
Publisher : Springer
Page : 259 pages
File Size : 46,6 Mb
Release : 2015-09-03
Category : Mathematics
ISBN : 9783319177298

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Algebraic Design Theory and Hadamard Matrices by Charles J. Colbourn Pdf

This volume develops the depth and breadth of the mathematics underlying the construction and analysis of Hadamard matrices, and their use in the construction of combinatorial designs. At the same time, it pursues current research in their numerous applications in security and cryptography, quantum information, and communications. Bridges among diverse mathematical threads and extensive applications make this an invaluable source for understanding both the current state of the art and future directions.​ ​The existence of Hadamard matrices remains one of the most challenging open questions in combinatorics. Substantial progress on their existence has resulted from advances in algebraic design theory using deep connections with linear algebra, abstract algebra, finite geometry, number theory, and combinatorics. Hadamard matrices arise in a very diverse set of applications. Starting with applications in experimental design theory and the theory of error-correcting codes, they have found unexpected and important applications in cryptography, quantum information theory, communications, and networking.

Author : Frank Swetz,John Fauvel,Otto Bekken,Bengt Johansson,Victor Katz
Publisher : American Mathematical Soc.
Page : 303 pages
File Size : 48,9 Mb
Release : 1995-12-31
Category : Mathematics
ISBN : 9780883857038

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Learn from the Masters by Frank Swetz,John Fauvel,Otto Bekken,Bengt Johansson,Victor Katz Pdf

This book is for high school and college teachers who want to know how they can use the history of mathematics as a pedagogical tool to help their students construct their own knowledge of mathematics. Often, a historical development of a particular topic is the best way to present a mathematical topic, but teachers may not have the time to do the research needed to present the material. This book provides its readers with historical ideas and insights which can be immediately applied in the classroom. The book is divided into two sections: the first on the use of history in high school mathematics, and the second on its use in university mathematics. The articles are diverse, covering fields such as trigonometry, mathematical modeling, calculus, linear algebra, vector analysis, and celestial mechanics. Also included are articles of a somewhat philosophical nature, which give general ideas on why history should be used in teaching and how it can be used in various special kinds of courses. Each article contains a bibliography to guide the reader to further reading on the subject.

Author : Deanna Haunsperger,Robert Thompson
Publisher : American Mathematical Soc.
Page : 282 pages
File Size : 41,5 Mb
Release : 2019-09-24
Category : Electronic
ISBN : 9781470450854

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101 Careers in Mathematics: Fourth Edition by Deanna Haunsperger,Robert Thompson Pdf

What can you do with a degree in math? This book addresses this question with 125 career profiles written by people with degrees and backgrounds in mathematics. With job titles ranging from sports analyst to science writer to inventory specialist to CEO, the volume provides ample evidence that one really can do nearly anything with a degree in mathematics. These professionals share how their mathematical education shaped their career choices and how mathematics, or the skills acquired in a mathematics education, is used in their daily work. The degrees earned by the authors profiled here are a good mix of bachelors, masters, and PhDs. With 114 completely new profiles since the third edition, the careers featured within accurately reflect current trends in the job market. College mathematics faculty, high school teachers, and career counselors will all find this a useful resource. Career centers, mathematics departments, and student lounges should have a copy available for student browsing. In addition to the career profiles, the volume contains essays from career counseling professionals on the topics of job-searching, interviewing, and applying to graduate school.

Author : Alejandro Adem,R. James Milgram
Publisher : Springer Science & Business Media
Page : 329 pages
File Size : 54,9 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9783662062807

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Cohomology of Finite Groups by Alejandro Adem,R. James Milgram Pdf

Some Historical Background This book deals with the cohomology of groups, particularly finite ones. Historically, the subject has been one of significant interaction between algebra and topology and has directly led to the creation of such important areas of mathematics as homo logical algebra and algebraic K-theory. It arose primarily in the 1920's and 1930's independently in number theory and topology. In topology the main focus was on the work ofH. Hopf, but B. Eckmann, S. Eilenberg, and S. MacLane (among others) made significant contributions. The main thrust of the early work here was to try to understand the meanings of the low dimensional homology groups of a space X. For example, if the universal cover of X was three connected, it was known that H2(X; A. ) depends only on the fundamental group of X. Group cohomology initially appeared to explain this dependence. In number theory, group cohomology arose as a natural device for describing the main theorems of class field theory and, in particular, for describing and analyzing the Brauer group of a field. It also arose naturally in the study of group extensions, N

Author : I. Martin Isaacs
Publisher : American Mathematical Soc.
Page : 516 pages
File Size : 51,6 Mb
Release : 2009
Category : Mathematics
ISBN : 9780821847992

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Algebra by I. Martin Isaacs Pdf

as a student." --Book Jacket.

Author : Steven George Krantz
Publisher : American Mathematical Soc.
Page : 242 pages
File Size : 49,5 Mb
Release : 2003
Category : Mathematics
ISBN : 9780821834558

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A Mathematician's Survival Guide by Steven George Krantz Pdf

"When you are a young mathematician, graduate school marks the first step toward a career in mathematics. During this period, you will make important decisions which will affect the rest of your career. This book is a detailed guide to help you navigate graduate school and the years that follow. -- Publisher description.

Author : Harry H. Panjer,American Mathematical Society
Publisher : American Mathematical Soc.
Page : 143 pages
File Size : 44,9 Mb
Release : 1986
Category : Political Science
ISBN : 9780821800966

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Actuarial Mathematics by Harry H. Panjer,American Mathematical Society Pdf

These lecture notes from the 1985 AMS Short Course examine a variety of topics from the contemporary theory of actuarial mathematics. Recent clarification in the concepts of probability and statistics has laid a much richer foundation for this theory. Other factors that have shaped the theory include the continuing advances in computer science, the flourishing mathematical theory of risk, developments in stochastic processes, and recent growth in the theory of finance. In turn, actuarial concepts have been applied to other areas such as biostatistics, demography, economic, and reliability engineering.

Author : Douglas J. LaFountain,William W. Menasco
Publisher : American Mathematical Soc.
Page : 304 pages
File Size : 51,6 Mb
Release : 2017-10-20
Category : Braid theory
ISBN : 9781470436605

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Braid Foliations in Low-Dimensional Topology by Douglas J. LaFountain,William W. Menasco Pdf

Author : Daniel W. Stroock
Publisher : Springer Nature
Page : 296 pages
File Size : 44,6 Mb
Release : 2020-11-24
Category : Mathematics
ISBN : 9783030584788

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Essentials of Integration Theory for Analysis by Daniel W. Stroock Pdf

When the first edition of this textbook published in 2011, it constituted a substantial revision of the best-selling Birkhäuser title by the same author, A Concise Introduction to the Theory of Integration. Appropriate as a primary text for a one-semester graduate course in integration theory, this GTM is also useful for independent study. A complete solutions manual is available for instructors who adopt the text for their courses. This second edition has been revised as follows: §2.2.5 and §8.3 have been substantially reworked. New topics have been added. As an application of the material about Hermite functions in §7.3.2, the author has added a brief introduction to Schwartz's theory of tempered distributions in §7.3.4. Section §7.4 is entirely new and contains applications, including the Central Limit Theorem, of Fourier analysis to measures. Related to this are subsections §8.2.5 and §8.2.6, where Lévy's Continuity Theorem and Bochner's characterization of the Fourier transforms of Borel probability on RN are proven. Subsection 8.1.2 is new and contains a proof of the Hahn Decomposition Theorem. Finally, there are several new exercises, some covering material from the original edition and others based on newly added material.