Download or read book The Cauchy Schwarz Master Class written by J. Michael Steele and published by Cambridge University Press. This book was released on 2004-04-26 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This lively, problem-oriented text, first published in 2004, is designed to coach readers toward mastery of the most fundamental mathematical inequalities. With the Cauchy-Schwarz inequality as the initial guide, the reader is led through a sequence of fascinating problems whose solutions are presented as they might have been discovered - either by one of history's famous mathematicians or by the reader. The problems emphasize beauty and surprise, but along the way readers will find systematic coverage of the geometry of squares, convexity, the ladder of power means, majorization, Schur convexity, exponential sums, and the inequalities of Hölder, Hilbert, and Hardy. The text is accessible to anyone who knows calculus and who cares about solving problems. It is well suited to self-study, directed study, or as a supplement to courses in analysis, probability, and combinatorics.
Download or read book The Cauchy Schwarz Master Class written by J. Michael Steele and published by Cambridge University Press. This book was released on 2004-04-26 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: This lively, problem-oriented text, first published in 2004, is designed to coach readers toward mastery of the most fundamental mathematical inequalities. With the Cauchy-Schwarz inequality as the initial guide, the reader is led through a sequence of fascinating problems whose solutions are presented as they might have been discovered - either by one of history's famous mathematicians or by the reader. The problems emphasize beauty and surprise, but along the way readers will find systematic coverage of the geometry of squares, convexity, the ladder of power means, majorization, Schur convexity, exponential sums, and the inequalities of Hölder, Hilbert, and Hardy. The text is accessible to anyone who knows calculus and who cares about solving problems. It is well suited to self-study, directed study, or as a supplement to courses in analysis, probability, and combinatorics.
Download or read book Cauchy s Cours d analyse written by Robert E. Bradley and published by Springer Science & Business Media. This book was released on 2010-01-14 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1821, Augustin-Louis Cauchy (1789-1857) published a textbook, the Cours d’analyse, to accompany his course in analysis at the Ecole Polytechnique. It is one of the most influential mathematics books ever written. Not only did Cauchy provide a workable definition of limits and a means to make them the basis of a rigorous theory of calculus, but he also revitalized the idea that all mathematics could be set on such rigorous foundations. Today, the quality of a work of mathematics is judged in part on the quality of its rigor, and this standard is largely due to the transformation brought about by Cauchy and the Cours d’analyse. For this translation, the authors have also added commentary, notes, references, and an index.
Download or read book The Cauchy Schwarz Master Class written by John Michael Steele and published by . This book was released on 2004 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using the Cauchy-Schwarz inequality as the initial guide, this text explains the concepts of mathematical inequalities by presenting a sequence of problems as they might have been discovered, the solutions to which can either be found with one of history's great mathematicians or by the reader themselves.
Download or read book The Cauchy Schwarz Master Class ICM Edition written by J. Michael Steele and published by . This book was released on 2010-07-23 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book When Less is More written by Claudi Alsina and published by American Mathematical Soc.. This book was released on 2009-12-31 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces the richness and variety of inequalities in mathematics using illustration and visualisation.
Download or read book Number Theory and Related Fields written by Jonathan M. Borwein and published by Springer Science & Business Media. This book was released on 2013-05-16 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Number Theory and Related Fields” collects contributions based on the proceedings of the "International Number Theory Conference in Memory of Alf van der Poorten," hosted by CARMA and held March 12-16th 2012 at the University of Newcastle, Australia. The purpose of the conference was to promote number theory research in Australia while commemorating the legacy of Alf van der Poorten, who had written over 170 papers on the topic of number theory and collaborated with dozens of researchers. The research articles and surveys presented in this book were written by some of the most distinguished mathematicians in the field of number theory, and articles will include related topics that focus on the various research interests of Dr. van der Poorten.
Download or read book Elliptic Functions According to Eisenstein and Kronecker written by Andre Weil and published by Springer Science & Business Media. This book was released on 1999 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawn from the Foreword: (...) On the other hand, since much of the material in this volume seems suitable for inclusion in elementary courses, it may not be superfluous to point out that it is almost entirely self-contained. Even the basic facts about trigonometric functions are treated ab initio in Ch. II, according to Eisenstein's method. It would have been both logical and convenient to treat the gamma -function similarly in Ch. VII; for the sake of brevity, this has not been done, and a knowledge of some elementary properties of T(s) has been assumed. One further prerequisite in Part II is Dirichlet's theorem on Fourier series, together with the method of Poisson summation which is only a special case of that theorem; in the case under consideration (essentially no more than the transformation formula for the theta-function) this presupposes the calculation of some classical integrals. (...) As to the final chapter, it concerns applications to number theory (...).
Download or read book Mathematical Analysis II written by Claudio Canuto and published by Springer Science & Business Media. This book was released on 2011-01-01 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this textbook is to present an array of topics in Calculus, and conceptually follow our previous effort Mathematical Analysis I.The present material is partly found, in fact, in the syllabus of the typical second lecture course in Calculus as offered in most Italian universities. While the subject matter known as `Calculus 1' is more or less standard, and concerns real functions of real variables, the topics of a course on `Calculus 2'can vary a lot, resulting in a bigger flexibility. For these reasons the Authors tried to cover a wide range of subjects, not forgetting that the number of credits the current programme specifications confers to a second Calculus course is not comparable to the amount of content gathered here. The reminders disseminated in the text make the chapters more independent from one another, allowing the reader to jump back and forth, and thus enhancing the versatility of the book. On the website: http://calvino.polito.it/canuto-tabacco/analisi 2, the interested reader may find the rigorous explanation of the results that are merely stated without proof in the book, together with useful additional material. The Authors have completely omitted the proofs whose technical aspects prevail over the fundamental notions and ideas. The large number of exercises gathered according to the main topics at the end of each chapter should help the student put his improvements to the test. The solution to all exercises is provided, and very often the procedure for solving is outlined.
Download or read book The Cauchy Schwarz Master Class written by J. Michael Steele and published by Mathematical Association of America. This book was released on 2004-04-26 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Michael Steele describes the fundamental topics in mathematical inequalities and their uses. Using the Cauchy-Schwarz inequality as a guide, Steele presents a fascinating collection of problems related to inequalities and coaches readers through solutions, in a style reminiscent of George Polya, by teaching basic concepts and sharpening problem solving skills at the same time. Undergraduate and beginning graduate students in mathematics, theoretical computer science, statistics, engineering, and economics will find the book appropriate for self-study.
Download or read book Master Class in Figure Drawing written by Robert Beverly Hale and published by Watson-Guptill Publications. This book was released on 1991 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explains how to make realistic drawings of the arms, legs, feet, hands, and other parts of the human body
Download or read book From Semantics to Computer Science written by Gilles Kahn and published by Cambridge University Press. This book was released on 2009-09-24 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gilles Kahn was one of the most influential figures in the development of computer science and information technology, not only in Europe but throughout the world. This volume of articles by several leading computer scientists serves as a fitting memorial to Kahn's achievements and reflects the broad range of subjects to which he contributed through his scientific research and his work at INRIA, the French National Institute for Research in Computer Science and Control. The authors also reflect upon the future of computing: how it will develop as a subject in itself and how it will affect other disciplines, from biology and medical informatics, to web and networks in general. Its breadth of coverage, topicality, originality and depth of contribution, make this book a stimulating read for all those interested in the future development of information technology.
Download or read book Sophie Germain written by L.L. Bucciarelli and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why should the story of a woman's role in the development of a scientific theory be written? Is it to celebrate, as some have done, the heroism of a woman's struggle in a man's world? Or is it, rather~to demonstrate that gender is irrelevant to the march of scientific ideas? This book hopes to do neither. Rather, it intends to do justice both to the professional life of a woman in science and to the development of the theory with which she was engaged. Technically, this essay centers on Sophie Germain's analysis of the modes of vibration of elastic surfaces, work which won a competition set by the French Academy of Sciences in 1809. It also evaluates related work on the mathematical theory of elasticity done by men of the Academy. Biographically, it is about a woman who believed in the greatness of science and strove, with some measure of success, to participate in that noble, but wholly male-dominated, enterprise. It explores her failures, analyzes her success, and describes how the members of the Parisian scientific community dealt with her offerings, contributions and demands.
Download or read book Work and Life Integration written by Ellen Ernst Kossek and published by Psychology Press. This book was released on 2004-12-13 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt: Work-family researchers have had much success in encouraging both organizations and individuals to recognize the importance of achieving greater balance in life. Work and Life Integration addresses the intersect between work, life, and family in new and interesting ways. It discusses current challenges in dealing with work-life integration issues and sets the stage for future research agendas. The book enlightens the research community and informs the public debates on how workplaces can be made more family sensitive by providing contributions from psychologists, sociologists, and economists who have not shied away from asserting the policy implications of their findings. This text appeals to both practitioners and academics interested in seeking ways to create meaningful lives.
Download or read book Probability Theory and Combinatorial Optimization written by J. Michael Steele and published by SIAM. This book was released on 1997-01-01 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the state of the art of the probability theory most applicable to combinatorial optimization. The questions that receive the most attention are those that deal with discrete optimization problems for points in Euclidean space, such as the minimum spanning tree, the traveling-salesman tour, and minimal-length matchings.
Download or read book The Geometry and Physics of Knots written by Michael Francis Atiyah and published by Cambridge University Press. This book was released on 1990-08-23 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes deal with an area that lies at the crossroads of mathematics and physics and rest primarily on the pioneering work of Vaughan Jones and Edward Witten, who related polynomial invariants of knots to a topological quantum field theory in 2+1 dimensions.
Download or read book Cultures of Abortion in Weimar Germany written by Cornelie Usborne and published by Berghahn Books. This book was released on 2007-12-01 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abortion in the Weimar Republic is a compelling subject since it provoked public debates and campaigns of an intensity rarely matched elsewhere. It proved so explosive because populationist, ecclesiastical and political concerns were heightened by cultural anxieties of a modernity in crisis. Based on an exceptionally rich source material (e.g., criminal court cases, doctors’ case books, personal diaries, feature films, plays and literary works), this study explores different attitudes and experiences of those women who sought to terminate an unwanted pregnancy and those who helped or hindered them. It analyzes the dichotomy between medical theory and practice, and questions common assumptions, i.e. that abortion was “a necessary evil,” which needed strict regulation and medical control; or that all back-street abortions were dangerous and bad. Above all, the book reveals women’s own voices, frequently contradictory and ambiguous: having internalized medical ideas they often also adhered to older notions of reproduction which opposed scientific approaches.
