Proving It Her Way

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Proving It Her Way

Author : David E. Rowe
Publisher :
ISBN 13 : 3030628116
Total Pages : 259 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Proving It Her Way by : David E. Rowe

Download or read book Proving It Her Way written by David E. Rowe and published by . This book was released on 2020 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: The name Emmy Noether is one of the most celebrated in the history of mathematics. A brilliant algebraist and iconic figure for women in modern science, Noether exerted a strong influence on the younger mathematicians of her time and long thereafter; today, she is known worldwide as the "mother of modern algebra." Drawing on original archival material and recent research, this book follows Emmy Noethers career from her early years in Erlangen up until her tragic death in the United States. After solving a major outstanding problem in Einsteins theory of relativity, she was finally able to join the Göttingen faculty in 1919. Proving It Her Way offers a new perspective on an extraordinary career, first, by focusing on important figures in Noethers life and, second, by showing how she selflessly promoted the careers of several other talented individuals. By exploring her mathematical world, it aims to convey the personality and impact of a remarkable mathematician who literally changed the face of modern mathematics, despite the fact that, as a woman, she never held a regular professorship. Written for a general audience, this study uncovers the human dimensions of Noethers key relationships with a younger generation of mathematicians. Thematically, the authors took inspiration from their cooperation with the ensemble portraittheater Vienna in producing the play "Diving into Math with Emmy Noether." Four of the young mathematicians portrayed in Proving It Her Way - B.L. van der Waerden, Pavel Alexandrov, Helmut Hasse, and Olga Taussky - also appear in "Diving into Math.".

Emmy Noether's Wonderful Theorem

Author : Dwight E. Neuenschwander
Publisher : JHU Press
ISBN 13 : 1421422689
Total Pages : 338 pages
Book Rating : 4.4/5 (214 download)

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Book Synopsis Emmy Noether's Wonderful Theorem by : Dwight E. Neuenschwander

Download or read book Emmy Noether's Wonderful Theorem written by Dwight E. Neuenschwander and published by JHU Press. This book was released on 2017-04-01 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most important—and beautiful—mathematical solutions ever devised, Noether’s theorem touches on every aspect of physics. "In the judgment of the most competent living mathematicians, Fräulein Noether was the most significant creative mathematical genius thus far produced since the higher education of women began."—Albert Einstein The year was 1915, and the young mathematician Emmy Noether had just settled into Göttingen University when Albert Einstein visited to lecture on his nearly finished general theory of relativity. Two leading mathematicians of the day, David Hilbert and Felix Klein, dug into the new theory with gusto, but had difficulty reconciling it with what was known about the conservation of energy. Knowing of her expertise in invariance theory, they requested Noether’s help. To solve the problem, she developed a novel theorem, applicable across all of physics, which relates conservation laws to continuous symmetries—one of the most important pieces of mathematical reasoning ever developed. Noether’s “first” and “second” theorem was published in 1918. The first theorem relates symmetries under global spacetime transformations to the conservation of energy and momentum, and symmetry under global gauge transformations to charge conservation. In continuum mechanics and field theories, these conservation laws are expressed as equations of continuity. The second theorem, an extension of the first, allows transformations with local gauge invariance, and the equations of continuity acquire the covariant derivative characteristic of coupled matter-field systems. General relativity, it turns out, exhibits local gauge invariance. Noether’s theorem also laid the foundation for later generations to apply local gauge invariance to theories of elementary particle interactions. In Dwight E. Neuenschwander’s new edition of Emmy Noether’s Wonderful Theorem, readers will encounter an updated explanation of Noether’s “first” theorem. The discussion of local gauge invariance has been expanded into a detailed presentation of the motivation, proof, and applications of the “second” theorem, including Noether’s resolution of concerns about general relativity. Other refinements in the new edition include an enlarged biography of Emmy Noether’s life and work, parallels drawn between the present approach and Noether’s original 1918 paper, and a summary of the logic behind Noether’s theorem.

Book of Proof

Author : Richard H. Hammack
Publisher :
ISBN 13 : 9780989472111
Total Pages : 314 pages
Book Rating : 4.4/5 (721 download)

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Book Synopsis Book of Proof by : Richard H. Hammack

Download or read book Book of Proof written by Richard H. Hammack and published by . This book was released on 2016-01-01 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity.

How to Prove It

Author : Daniel J. Velleman
Publisher : Cambridge University Press
ISBN 13 : 0521861241
Total Pages : 401 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis How to Prove It by : Daniel J. Velleman

Download or read book How to Prove It written by Daniel J. Velleman and published by Cambridge University Press. This book was released on 2006-01-16 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman's successful text will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. The author shows how complex proofs are built up from these smaller steps, using detailed 'scratch work' sections to expose the machinery of proofs about the natural numbers, relations, functions, and infinite sets. To give students the opportunity to construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. This book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and of course mathematicians.

Reading, Writing, and Proving

Author : Ulrich Daepp
Publisher : Springer Science & Business Media
ISBN 13 : 0387215603
Total Pages : 391 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Reading, Writing, and Proving by : Ulrich Daepp

Download or read book Reading, Writing, and Proving written by Ulrich Daepp and published by Springer Science & Business Media. This book was released on 2006-04-18 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, based on Pólya's method of problem solving, aids students in their transition to higher-level mathematics. It begins by providing a great deal of guidance on how to approach definitions, examples, and theorems in mathematics and ends by providing projects for independent study. Students will follow Pólya's four step process: learn to understand the problem; devise a plan to solve the problem; carry out that plan; and look back and check what the results told them.

Mathematics for Human Flourishing

Author : Francis Su
Publisher : Yale University Press
ISBN 13 : 0300237138
Total Pages : 287 pages
Book Rating : 4.3/5 (2 download)

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Book Synopsis Mathematics for Human Flourishing by : Francis Su

Download or read book Mathematics for Human Flourishing written by Francis Su and published by Yale University Press. This book was released on 2020-01-07 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The ancient Greeks argued that the best life was filled with beauty, truth, justice, play and love. The mathematician Francis Su knows just where to find them."--Kevin Hartnett, Quanta Magazine" This is perhaps the most important mathematics book of our time. Francis Su shows mathematics is an experience of the mind and, most important, of the heart."--James Tanton, Global Math Project For mathematician Francis Su, a society without mathematical affection is like a city without concerts, parks, or museums. To miss out on mathematics is to live without experiencing some of humanity's most beautiful ideas. In this profound book, written for a wide audience but especially for those disenchanted by their past experiences, an award-winning mathematician and educator weaves parables, puzzles, and personal reflections to show how mathematics meets basic human desires--such as for play, beauty, freedom, justice, and love--and cultivates virtues essential for human flourishing. These desires and virtues, and the stories told here, reveal how mathematics is intimately tied to being human. Some lessons emerge from those who have struggled, including philosopher Simone Weil, whose own mathematical contributions were overshadowed by her brother's, and Christopher Jackson, who discovered mathematics as an inmate in a federal prison. Christopher's letters to the author appear throughout the book and show how this intellectual pursuit can--and must--be open to all.

Incompleteness

Author : Rebecca Goldstein
Publisher : W. W. Norton & Company
ISBN 13 : 0393327604
Total Pages : 299 pages
Book Rating : 4.3/5 (933 download)

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Book Synopsis Incompleteness by : Rebecca Goldstein

Download or read book Incompleteness written by Rebecca Goldstein and published by W. W. Norton & Company. This book was released on 2006-01-31 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: "An introduction to the life and thought of Kurt Gödel, who transformed our conception of math forever"--Provided by publisher.

Emmy Noether

Author : Helaine Becker
Publisher : Kids Can Press Ltd
ISBN 13 : 1525305867
Total Pages : 40 pages
Book Rating : 4.5/5 (253 download)

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Book Synopsis Emmy Noether by : Helaine Becker

Download or read book Emmy Noether written by Helaine Becker and published by Kids Can Press Ltd. This book was released on 2020-10-06 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: An engaging picture book biography of a groundbreaking female mathematician. Emmy Noether is not pretty, quiet or good at housework — all the things a girl of her time is expected to be. What she is, though, is brilliant at math. And when she grows up, she skirts the rules to first study math at a university and then teach it. She also helps to solve of the most pressing mathematical and physics problems of the day. And though she doesn’t get much credit during her lifetime, her discoveries continue to influence how we understand the world today. One of the most influential mathematicians of the twentieth century finally gets her due!

Proofs from THE BOOK

Author : Martin Aigner
Publisher : Springer Science & Business Media
ISBN 13 : 3662223430
Total Pages : 194 pages
Book Rating : 4.6/5 (622 download)

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Book Synopsis Proofs from THE BOOK by : Martin Aigner

Download or read book Proofs from THE BOOK written by Martin Aigner and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: According to the great mathematician Paul Erdös, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "perfect proofs," those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, analysis, combinatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics.

Interactive Theorem Proving and Program Development

Author : Yves Bertot
Publisher : Springer Science & Business Media
ISBN 13 : 366207964X
Total Pages : 492 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Interactive Theorem Proving and Program Development by : Yves Bertot

Download or read book Interactive Theorem Proving and Program Development written by Yves Bertot and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: A practical introduction to the development of proofs and certified programs using Coq. An invaluable tool for researchers, students, and engineers interested in formal methods and the development of zero-fault software.

Living Proof

Author : Allison K. Henrich
Publisher :
ISBN 13 : 9781470452810
Total Pages : 136 pages
Book Rating : 4.4/5 (528 download)

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Book Synopsis Living Proof by : Allison K. Henrich

Download or read book Living Proof written by Allison K. Henrich and published by . This book was released on 2019 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wow! This is a powerful book that addresses a long-standing elephant in the mathematics room. Many people learning math ask ``Why is math so hard for me while everyone else understands it?'' and ``Am I good enough to succeed in math?'' In answering these questions the book shares personal stories from many now-accomplished mathematicians affirming that ``You are not alone; math is hard for everyone'' and ``Yes; you are good enough.'' Along the way the book addresses other issues such as biases and prejudices that mathematicians encounter, and it provides inspiration and emotional support for mathematicians ranging from the experienced professor to the struggling mathematics student. --Michael Dorff, MAA President This book is a remarkable collection of personal reflections on what it means to be, and to become, a mathematician. Each story reveals a unique and refreshing understanding of the barriers erected by our cultural focus on ``math is hard.'' Indeed, mathematics is hard, and so are many other things--as Stephen Kennedy points out in his cogent introduction. This collection of essays offers inspiration to students of mathematics and to mathematicians at every career stage. --Jill Pipher, AMS President This book is published in cooperation with the Mathematical Association of America.

A History of Abstract Algebra

Author : Israel Kleiner
Publisher : Springer Science & Business Media
ISBN 13 : 0817646841
Total Pages : 175 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis A History of Abstract Algebra by : Israel Kleiner

Download or read book A History of Abstract Algebra written by Israel Kleiner and published by Springer Science & Business Media. This book was released on 2007-10-02 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the history of abstract algebra. It shows 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.

Finding Our Way

Author : Rene Saldana, Jr.
Publisher : Laurel Leaf
ISBN 13 : 030743334X
Total Pages : 130 pages
Book Rating : 4.3/5 (74 download)

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Book Synopsis Finding Our Way by : Rene Saldana, Jr.

Download or read book Finding Our Way written by Rene Saldana, Jr. and published by Laurel Leaf. This book was released on 2007-12-18 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: THESE STORIES TAKE the reader to meet mochos; cholos; Mr. and Mrs. Special; Manny with his mysterious phone calls; Melly, who dreams of being the first girl to take the Dive; Andy and Ruthie, who find that being “boyfriend-girlfriend” takes on new meaning the night of the prom; and Chuy, who seems determined to get kicked out of school. Each distinct voice shares secret thoughts that draw the reader into daily dramas of love, danger, loyalty, and pride. In the final story, a shocking tragedy reverberates through the barrio. “With this collection, Saldaña makes a significant contribution to the field of Latino short stories for young readers.”—VOYA, Starred “These powerfully written, provocative selections have universal appeal and subtle, thoughtful themes.”—School Library Journal “While much is revealed, just as much is implied, making the stories layered and rich while still rendering them accessible.”—The Bulletin

Nothing to Prove

Author : Jennie Allen
Publisher : WaterBrook
ISBN 13 : 1601429614
Total Pages : 258 pages
Book Rating : 4.6/5 (14 download)

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Book Synopsis Nothing to Prove by : Jennie Allen

Download or read book Nothing to Prove written by Jennie Allen and published by WaterBrook. This book was released on 2017 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Allen understands the daily struggle so many of us face with the fear that we are not enough. And she invites us into a different experience, one in which our souls overflow with contentment and joy"--Amazon.com.

A Richer Picture of Mathematics

Author : David E. Rowe
Publisher : Springer
ISBN 13 : 3319678191
Total Pages : 448 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis A Richer Picture of Mathematics by : David E. Rowe

Download or read book A Richer Picture of Mathematics written by David E. Rowe and published by Springer. This book was released on 2018-02-13 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Historian David E. Rowe captures the rich tapestry of mathematical creativity in this collection of essays from the “Years Ago” column of The Mathematical Intelligencer. With topics ranging from ancient Greek mathematics to modern relativistic cosmology, this collection conveys the impetus and spirit of Rowe’s various and many-faceted contributions to the history of mathematics. Centered on the Göttingen mathematical tradition, these stories illuminate important facets of mathematical activity often overlooked in other accounts. Six sections place the essays in chronological and thematic order, beginning with new introductions that contextualize each section. The essays that follow recount episodes relating to the section’s overall theme. All of the essays in this collection, with the exception of two, appeared over the course of more than 30 years in The Mathematical Intelligencer. Based largely on archival and primary sources, these vignettes offer unusual insights into behind-the-scenes events. Taken together, they aim to show how Göttingen managed to attract an extraordinary array of talented individuals, several of whom contributed to the development of a new mathematical culture during the first decades of the twentieth century.

E-Squared

Author : Pam Grout
Publisher : Hay House, Inc
ISBN 13 : 1401976379
Total Pages : 212 pages
Book Rating : 4.4/5 (19 download)

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Book Synopsis E-Squared by : Pam Grout

Download or read book E-Squared written by Pam Grout and published by Hay House, Inc. This book was released on 2023-08-01 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the 10th anniversary of the #1 New York Times bestseller, a new release complete with a brand-new Manifesting Scavenger Hunt. E-Squared could best be described as a lab manual with simple experiments to prove once and for all that reality is malleable, that consciousness trumps matter, and that you shape your life with your mind. Rather than take it on faith, you are invited to conduct nine 48-hour experiments to prove there really is a positive, loving, totally hip force in the universe. Yes, you read that right. It says prove. The experiments, each of which can be conducted with absolutely no money and very little time expenditure, demonstrate that spiritual principles are as dependable as gravity, as consistent as Newton’s laws of motion. For years, you’ve been hoping and praying that spiritual principles are true. E-Squared lets you know it for sure. NEW in this edition: A note from Pam Grout on the 10th anniversary of E-Squared, plus a brand-new Manifesting Scavenger Hunt with even more opportunities to prove your manifesting mojo. "I absolutely love this book. Pam has combined a writing style as funny as Ellen DeGeneres with a wisdom as deep and profound as Deepak Chopra's to deliver a powerful message and a set of experiments that will prove to you beyond a doubt that our thoughts really do create our reality." — Jack Canfield, co-creator of the New York Times best-selling Chicken Soup for the Soul® series

Birth of a Theorem

Author : Cédric Villani
Publisher : Macmillan + ORM
ISBN 13 : 0374710236
Total Pages : 260 pages
Book Rating : 4.3/5 (747 download)

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Book Synopsis Birth of a Theorem by : Cédric Villani

Download or read book Birth of a Theorem written by Cédric Villani and published by Macmillan + ORM. This book was released on 2015-04-14 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 2010, French mathematician Cédric Villani received the Fields Medal, the most coveted prize in mathematics, in recognition of a proof which he devised with his close collaborator Clément Mouhot to explain one of the most surprising theories in classical physics. Birth of aTheorem is Villani's own account of the years leading up to the award. It invites readers inside the mind of a great mathematician as he wrestles with the most important work of his career. But you don't have to understand nonlinear Landau damping to love Birth of aTheorem. It doesn't simplify or overexplain; rather, it invites readers into collaboration. Villani's diaries, emails, and musings enmesh you in the process of discovery. You join him in unproductive lulls and late-night breakthroughs. You're privy to the dining-hall conversations at the world's greatest research institutions. Villani shares his favorite songs, his love of manga, and the imaginative stories he tells his children. In mathematics, as in any creative work, it is the thinker's whole life that propels discovery—and with Birth of aTheorem, Cédric Villani welcomes you into his.