Jacques Hadamard

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The Mathematician's Mind

Author : Jacques Hadamard
Publisher : Princeton University Press
ISBN 13 : 0691212902
Total Pages : 168 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis The Mathematician's Mind by : Jacques Hadamard

Download or read book The Mathematician's Mind written by Jacques Hadamard and published by Princeton University Press. This book was released on 2020-05-05 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fifty years ago when Jacques Hadamard set out to explore how mathematicians invent new ideas, he considered the creative experiences of some of the greatest thinkers of his generation, such as George Polya, Claude Lévi-Strauss, and Albert Einstein. It appeared that inspiration could strike anytime, particularly after an individual had worked hard on a problem for days and then turned attention to another activity. In exploring this phenomenon, Hadamard produced one of the most famous and cogent cases for the existence of unconscious mental processes in mathematical invention and other forms of creativity. Written before the explosion of research in computers and cognitive science, his book, originally titled The Psychology of Invention in the Mathematical Field, remains an important tool for exploring the increasingly complex problem of mental life. The roots of creativity for Hadamard lie not in consciousness, but in the long unconscious work of incubation, and in the unconscious aesthetic selection of ideas that thereby pass into consciousness. His discussion of this process comprises a wide range of topics, including the use of mental images or symbols, visualized or auditory words, "meaningless" words, logic, and intuition. Among the important documents collected is a letter from Albert Einstein analyzing his own mechanism of thought.

Jacques Hadamard

Author : Vladimir Gilelevič Mazʹâ
Publisher : American Mathematical Soc.
ISBN 13 : 9780821819234
Total Pages : 604 pages
Book Rating : 4.8/5 (192 download)

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Book Synopsis Jacques Hadamard by : Vladimir Gilelevič Mazʹâ

Download or read book Jacques Hadamard written by Vladimir Gilelevič Mazʹâ and published by American Mathematical Soc.. This book was released on 1999 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a fascinating story of the long life and great accomplishments of Jacques Hadamard (1865-1963), who was once called 'the living legend of mathematics'. As one of the last universal mathematicians, Hadamard's contributions to mathematics are landmarks in various fields. His life is linked with world history of the 20th century in a dramatic way. This work provides an inspiring view of the development of various branches of mathematics during the 19th and 20th centuries.Part I of the book portrays Hadamard's family, childhood and student years, scientific triumphs, and his personal life and trials during the first two world wars. The story is told of his involvement in the Dreyfus affair and his subsequent fight for justice and human rights. Also recounted are Hadamard's worldwide travels, his famous seminar, his passion for botany, his home orchestra, where he played the violin with Einstein, and his interest in the psychology of mathematical creativity. Hadamard's life is described in a readable and inviting way.The authors humorously weave throughout the text his jokes and the myths about him. They also movingly recount the tragic side of his life. Stories about his relatives and friends, and old letters and documents create an authentic and colorful picture. The book contains over 300 photographs and illustrations. Part II of the book includes a lucid overview of Hadamard's enormous work, spanning over six decades. The authors do an excellent job of connecting his results to current concerns.While the book is accessible to beginners, it also provides rich information of interest to experts. Vladimir Mazya and Tatyana Shaposhnikova were the 2003 laureates of the Insitut de France's Prix Alfred Verdaguer. One or more prizes are awarded each year, based on suggestions from the Academie francaise, the Academie de sciences, and the Academie de beaux-arts, for the most remarkable work in the arts, literature, and the sciences. In 2003, the award for excellence was granted in recognition of Mazya and Shaposhnikova's book, ""Jacques Hadamard, A Universal Mathematician"", which is both an historical book about a great citizen and a scientific book about a great mathematician.

An Essay on the Psychology of Invention in the Mathematical Field

Author : Jacques Hadamard
Publisher : Read Books Ltd
ISBN 13 : 1447493273
Total Pages : 130 pages
Book Rating : 4.4/5 (474 download)

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Book Synopsis An Essay on the Psychology of Invention in the Mathematical Field by : Jacques Hadamard

Download or read book An Essay on the Psychology of Invention in the Mathematical Field written by Jacques Hadamard and published by Read Books Ltd. This book was released on 2011-10-25 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many of the earliest books, particularly those dating back to the 1900s and before, are now extremely scarce and increasingly expensive. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork.

An Eassay on the Psychology of Invention in the Mathematical Field

Author : Jacques Hadamard
Publisher : Franklin Classics Trade Press
ISBN 13 : 9780353358430
Total Pages : 164 pages
Book Rating : 4.3/5 (584 download)

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Book Synopsis An Eassay on the Psychology of Invention in the Mathematical Field by : Jacques Hadamard

Download or read book An Eassay on the Psychology of Invention in the Mathematical Field written by Jacques Hadamard and published by Franklin Classics Trade Press. This book was released on 2018-11-11 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Lectures on Cauchy's Problem in Linear Partial Differential Equations

Author : Jacques Hadamard
Publisher :
ISBN 13 :
Total Pages : 336 pages
Book Rating : 4.:/5 (1 download)

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Book Synopsis Lectures on Cauchy's Problem in Linear Partial Differential Equations by : Jacques Hadamard

Download or read book Lectures on Cauchy's Problem in Linear Partial Differential Equations written by Jacques Hadamard and published by . This book was released on 1923 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Four Lectures on Mathematics

Author : Jacques Hadamard
Publisher :
ISBN 13 :
Total Pages : 68 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Four Lectures on Mathematics by : Jacques Hadamard

Download or read book Four Lectures on Mathematics written by Jacques Hadamard and published by . This book was released on 1915 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Non-Euclidean Geometry in the Theory of Automorphic Functions

Author : Jacques Hadamard
Publisher : American Mathematical Soc.
ISBN 13 : 9780821890479
Total Pages : 116 pages
Book Rating : 4.8/5 (94 download)

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Book Synopsis Non-Euclidean Geometry in the Theory of Automorphic Functions by : Jacques Hadamard

Download or read book Non-Euclidean Geometry in the Theory of Automorphic Functions written by Jacques Hadamard and published by American Mathematical Soc.. This book was released on 1999-01-01 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the English translation of a volume originally published only in Russian and now out of print. The book was written by Jacques Hadamard on the work of Poincare. Poincare's creation of a theory of automorphic functions in the early 1880s was one of the most significant mathematical achievements of the nineteenth century. It directly inspired the uniformization theorem, led to a class of functions adequate to solve all linear ordinary differential equations, and focused attention on a large new class of discrete groups. It was the first significant application of non-Euclidean geometry. This unique exposition by Hadamard offers a fascinating and intuitive introduction to the subject of automorphic functions and illuminates its connection to differential equations, a connection not often found in other texts.

Introduction to Optimization and Hadamard Semidifferential Calculus, Second Edition

Author : Michel C. Delfour
Publisher : SIAM
ISBN 13 : 1611975964
Total Pages : 446 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Introduction to Optimization and Hadamard Semidifferential Calculus, Second Edition by : Michel C. Delfour

Download or read book Introduction to Optimization and Hadamard Semidifferential Calculus, Second Edition written by Michel C. Delfour and published by SIAM. This book was released on 2019-12-19 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition provides an enhanced exposition of the long-overlooked Hadamard semidifferential calculus, first introduced in the 1920s by mathematicians Jacques Hadamard and Maurice René Fréchet. Hadamard semidifferential calculus is possibly the largest family of nondifferentiable functions that retains all the features of classical differential calculus, including the chain rule, making it a natural framework for initiating a large audience of undergraduates and non-mathematicians into the world of nondifferentiable optimization. Introduction to Optimization and Hadamard Semidifferential Calculus, Second Edition builds upon its prior editions foundations in Hadamard semidifferential calculus, showcasing new material linked to convex analysis and nonsmooth optimization. It presents a modern treatment of optimization and Hadamard semidifferential calculus while remaining at a level that is accessible to undergraduate students, and challenges students with exercises related to problems in such fields as engineering, mechanics, medicine, physics, and economics. Answers are supplied in Appendix B. Students of mathematics, physics, engineering, economics, and other disciplines that demand a basic knowledge of mathematical analysis and linear algebra will find this a fitting primary or companion resource for their studies. This textbook has been designed and tested for a one-term course at the undergraduate level. In its full version, it is appropriate for a first-year graduate course and as a reference.

Do Not Erase

Author : Jessica Wynne
Publisher : Princeton University Press
ISBN 13 : 0691222827
Total Pages : 248 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Do Not Erase by : Jessica Wynne

Download or read book Do Not Erase written by Jessica Wynne and published by Princeton University Press. This book was released on 2021-06-22 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: A photographic exploration of mathematicians’ chalkboards “A mathematician, like a painter or poet, is a maker of patterns,” wrote the British mathematician G. H. Hardy. In Do Not Erase, photographer Jessica Wynne presents remarkable examples of this idea through images of mathematicians’ chalkboards. While other fields have replaced chalkboards with whiteboards and digital presentations, mathematicians remain loyal to chalk for puzzling out their ideas and communicating their research. Wynne offers more than one hundred stunning photographs of these chalkboards, gathered from a diverse group of mathematicians around the world. The photographs are accompanied by essays from each mathematician, reflecting on their work and processes. Together, pictures and words provide an illuminating meditation on the unique relationships among mathematics, art, and creativity. The mathematicians featured in this collection comprise exciting new voices alongside established figures, including Sun-Yung Alice Chang, Alain Connes, Misha Gromov, Andre Neves, Kasso Okoudjou, Peter Shor, Christina Sormani, Terence Tao, Claire Voisin, and many others. The companion essays give insights into how the chalkboard serves as a special medium for mathematical expression. The volume also includes an introduction by the author, an afterword by New Yorker writer Alec Wilkinson, and biographical information for each contributor. Do Not Erase is a testament to the myriad ways that mathematicians use their chalkboards to reveal the conceptual and visual beauty of their discipline—shapes, figures, formulas, and conjectures created through imagination, argument, and speculation.

Symbolic Dynamics

Author : Bruce P. Kitchens
Publisher : Springer Science & Business Media
ISBN 13 : 3642588220
Total Pages : 263 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Symbolic Dynamics by : Bruce P. Kitchens

Download or read book Symbolic Dynamics written by Bruce P. Kitchens and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nearly one hundred years ago Jacques Hadamard used infinite sequences of symbols to analyze the distribution of geodesics on certain surfaces. That was the beginning of symbolic dynamics. In the 1930's and 40's Arnold Hedlund and Marston Morse again used infinite sequences to investigate geodesics on surfaces of negative curvature. They coined the term symbolic dynamics and began to study sequence spaces with the shift transformation as dynamical systems. In the 1940's Claude Shannon used sequence spaces to describe infor mation channels. Since that time symbolic dynamics has been used in ergodic theory, topological dynamics, hyperbolic dynamics, information theory and complex dynamics. Symbolic dynamical systems with a finite memory are stud ied in this book. They are the topological Markov shifts. Each can be defined by transition rules and the rules can be summarized by a transition matrix. The study naturally divides into two parts. The first part is about topological Markov shifts where the alphabet is finite. The second part is concerned with topological Markov shifts whose alphabet is count ably infinite. The techniques used in the two cases are quite different. When the alphabet is finite most of the methods are combinatorial or algebraic. When the alphabet is infinite the methods are much more analytic. This book grew from notes for a graduate course taught at Wesleyan Uni versity in the fall of 1994 and is intended as a graduate text and as a reference book for mathematicians working in related fields.

Hadamard Transforms

Author : S. S. Agaian
Publisher : SPIE-International Society for Optical Engineering
ISBN 13 : 9780819486479
Total Pages : 0 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Hadamard Transforms by : S. S. Agaian

Download or read book Hadamard Transforms written by S. S. Agaian and published by SPIE-International Society for Optical Engineering. This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Hadamard matrix and Hadamard transform are fundamental problem-solving tools in a wide spectrum of scientific disciplines and technologies, such as communication systems, signal and image processing (signal representation, coding, filtering, recognition, and watermarking), digital logic (Boolean function analysis and synthesis), and fault-tolerant system design. Hadamard Transforms intends to bring together different topics concerning current developments in Hadamard matrices, transforms, and their applications. Each chapter begins with the basics of the theory, progresses to more advanced topics, and then discusses cutting-edge implementation techniques. The book covers a wide range of problems related to these matrices/transforms, formulates open questions, and points the way to potential advancements. Hadamard Transforms is suitable for a wide variety of audiences, including graduate students in electrical and computer engineering, mathematics, or computer science. Readers are not presumed to have a sophisticated mathematical background, but some mathematical background is helpful. This book will prepare readers for further exploration and will support aspiring researchers in the field.

Mind and Matter

Author : John Urschel
Publisher :
ISBN 13 : 0735224862
Total Pages : 258 pages
Book Rating : 4.7/5 (352 download)

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Book Synopsis Mind and Matter by : John Urschel

Download or read book Mind and Matter written by John Urschel and published by . This book was released on 2019 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: "For John Urschel, what began as an insatiable appetite for puzzles as a child quickly evolved into mastery of the elegant systems and rules of mathematics. By the time he was thirteen, Urschel was auditing college-level calculus courses. But when he joined his high school football team, a new interest began to eclipse the thrill he once felt in the classroom. Football challenged Urschel in an entirely different way, and he became addicted to the physical contact of the sport. Accepting a scholarship to play football at Penn State, Urschel refused to sacrifice one passion for another, and simultaneously pursued his bachelor's and then master's degrees in mathematics. Against the odds, Urschel found a way to manage his double life as a scholar and an athlete, and so when he was drafted to the Baltimore Ravens, he enrolled in his PhD at MIT. Weaving together two separate yet bound narratives, Urschel relives for us the most pivotal moments of his bifurcated life. He explains why, after Penn State was sanctioned for the acts of former coach Jerry Sandusky, he turned his back on offers from Ivy League universities and refused to abandon his team, and contends with his mother's repeated request, at the end of every season, that he quit the sport and pursue a career in rocket science. Perhaps most personally, he opens up about the correlation between football and CTE, and the risks he took for the game he loves. Equally at home with both Bernard Riemann's notion of infinity and Bill Belichick's playbook, Urschel reveals how each challenge - whether on the field or in the classroom - has brought him closer to understanding the two different halves of his own life, and how reason and emotion, the mind and the body, are always working together"--

Contemporary Design Theory

Author : Jeffrey H. Dinitz
Publisher : John Wiley & Sons
ISBN 13 : 9780471531418
Total Pages : 660 pages
Book Rating : 4.5/5 (314 download)

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Book Synopsis Contemporary Design Theory by : Jeffrey H. Dinitz

Download or read book Contemporary Design Theory written by Jeffrey H. Dinitz and published by John Wiley & Sons. This book was released on 1992-08-04 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foremost experts in their field have contributed articles resulting in a compilation of useful and timely surveys in this ever-expanding field. Each of these 12 original papers covers important aspects of design theory including several in areas that have not previously been surveyed. Also contains surveys updating earlier ones where research is particularly active.

The Mathematician's Brain

Author : David Ruelle
Publisher : Princeton University Press
ISBN 13 : 9780691129822
Total Pages : 180 pages
Book Rating : 4.1/5 (298 download)

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Book Synopsis The Mathematician's Brain by : David Ruelle

Download or read book The Mathematician's Brain written by David Ruelle and published by Princeton University Press. This book was released on 2007-08-05 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examines mathematical ideas and the visionary minds behind them. This book provides an account of celebrated mathematicians and their quirks, oddities, personal tragedies, bad behavior, descents into madness, tragic ends, and the beauty of their mathematical discoveries.

Remarkable Mathematicians

Author : Ioan James
Publisher : Mathematical Association of America
ISBN 13 : 9780521817776
Total Pages : 286 pages
Book Rating : 4.8/5 (177 download)

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Book Synopsis Remarkable Mathematicians by : Ioan James

Download or read book Remarkable Mathematicians written by Ioan James and published by Mathematical Association of America. This book was released on 2003-02-06 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ioan James introduces and profiles sixty mathematicians from the era when mathematics was freed from its classical origins to develop into its modern form. The subjects, all born between 1700 and 1910, come from a wide range of countries, and all made important contributions to mathematics, through their ideas, their teaching, and their influence. James emphasizes their varied life stories, not the details of their mathematical achievements. The book is organized chronologically into ten chapters, each of which contains biographical sketches of six mathematicians. The men and women James has chosen to portray are representative of the history of mathematics, such that their stories, when read in sequence, convey in human terms something of the way in which mathematics developed. Ioan James is a professor at the Mathematical Institute, University of Oxford. He is the author of Topological Topics (Cambridge, 1983), Fibrewise Topology (Cambridge, 1989), Introduction to Uniform Spaces (Cambridge, 1990), Topological and Uniform Spaces (Springer-Verlag New York, 1999), and co-author with Michael C. Crabb of Fibrewise Homotopy Theory (Springer-Verlag New York, 1998). James is the former editor of the London Mathematical Society Lecture Note Series and volume editor of numerous books. He is the organizer of the Oxford Series of Topology symposia and other conferences, and co-chairman of the Task Force for Mathematical Sciences of Campaign for Oxford.

Hadamard's Plane Geometry

Author : Mark E. Saul
Publisher : American Mathematical Soc.
ISBN 13 : 0821843680
Total Pages : 362 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Hadamard's Plane Geometry by : Mark E. Saul

Download or read book Hadamard's Plane Geometry written by Mark E. Saul and published by American Mathematical Soc.. This book was released on 2010-02-10 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Jacques Hadamard, among the greatest mathematicians of the twentieth century, made signal contributions to a number of fields. But his mind could not be confined to the upper reaches of mathematical thought. He also produced a massive two-volume work, on plane and solid geometry, for pre-college teachers in the French school system. In those books, Hadamard's style invites participation. His exposition is minimal, providing only the results necessary to support the solution of the many elegant problems he poses afterwards. That is, the problems interpret the text in the way that harmony interprets melody in a well-composed piece of music. The present volume offers solutions to the problems in the first part of Hadamard's work (Lessons in Geometry. I. Plane Geometry, Jacques Hadamard, Amer. Math. Soc. (2008)), and can be viewed as a reader's companion to that book. It requires of the reader only the background of high school plane geometry, which Lessons in Geometry provides. The solutions strive to connect the general methods given in the text with intuitions that are natural to the subject, giving as much motivation as possible as well as rigorous and formal solutions. Ideas for further exploration are often suggested, as well as hints for classroom use. This book will be of interest to high school teachers, gifted high school students, college students, and those mathematics majors interested in geometry.

Poincare and the Three Body Problem

Author : June Barrow-Green
Publisher : American Mathematical Soc.
ISBN 13 : 9780821803677
Total Pages : 294 pages
Book Rating : 4.8/5 (36 download)

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Book Synopsis Poincare and the Three Body Problem by : June Barrow-Green

Download or read book Poincare and the Three Body Problem written by June Barrow-Green and published by American Mathematical Soc.. This book was released on 1997 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: Poincare's famous memoir on the three body problem arose from his entry in the competition celebrating the 60th birthday of King Oscar of Sweden and Norway. His essay won the prize and was set up in print as a paper in Acta Mathematica when it was found to contain a deep and critical error. In correcting this error Poincare discovered mathematical chaos, as is now clear from June Barrow-Green's pioneering study of a copy of the original memoir annotated by Poincare himself, recently discovered in the Institut Mittag-Leffler in Stockholm. Poincare and the Three Body Problem opens with a discussion of the development of the three body problem itself and Poincare's related earlier work. The book also contains intriguing insights into the contemporary European mathematical community revealed by the workings of the competition. After an account of the discovery of the error and a detailed comparative study of both the original memoir and its rewritten version, the book concludes with an account of the final memoir's reception, influence and impact, and an examination of Poincare's subsequent highly influential work in celestial mechanics.