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Algebra The Beautiful
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Book Synopsis Algebra the Beautiful by : G. Arnell Williams
Download or read book Algebra the Beautiful written by G. Arnell Williams and published by Hachette UK. This book was released on 2022-08-23 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: A mathematician reveals the hidden beauty, power, and—yes—fun of algebra What comes to mind when you think about algebra? For many of us, it’s memories of dull or frustrating classes in high school. Award-winning mathematics professor G. Arnell Williams is here to change that. Algebra the Beautiful is a journey into the heart of fundamental math that proves just how amazing this subject really is. Drawing on lessons from twenty-five years of teaching mathematics, Williams blends metaphor, history, and storytelling to uncover algebra’s hidden grandeur. Whether you’re a teacher looking to make math come alive for your students, a parent hoping to get your children engaged, a student trying to come to terms with a sometimes bewildering subject, or just a lover of mathematics, this book has something for you. With a passion that’s contagious, G. Arnell Williams shows how each of us can grasp the beauty and harmony of algebra.
Book Synopsis Nonlinearity and Chaos in Molecular Vibrations by : Guozhen Wu
Download or read book Nonlinearity and Chaos in Molecular Vibrations written by Guozhen Wu and published by Elsevier. This book was released on 2005-07-01 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinearity and Chaos in Molecular Vibrations deals systematically with a Lie algebraic approach to the study of nonlinear properties of molecular highly excited vibrations. The fundamental concepts of nonlinear dynamics such as chaos, fractals, quasiperiodicity, resonance, and the Lyapunov exponent, and their roles in the study of molecular vibrations are presented. The 20 chapters cover the basic ideas, the concept of dynamical groups, the integrable two-mode SU(2) system, the unintegrable three-mode SU(3) system, the noncompact su(1,1) algebraic application, su(3) symmetry breaking and its application and the quantal effect of asymmetric molecular rotation. Emphasis is given to: resonance and chaos, the fractal structure of eigencoefficients, the C-H bend motion of acetylene, regular and chaotic motion of DCN, the existence of approximately conserved quantum numbers, one-electronic motion in multi-sites, the Lyapunov exponent, actions of periodic trajectories and quantization, the H function and its application in vibrational relaxation as well as the Dixon dip and its destruction and chaos in the transitional states. This approach bridges the gap between molecular vibrational spectroscopy and nonlinear dynamics. The book presents a framework of information that readers can use to build their knowledge, and is therefore highly recommended for all those working in or studying molecular physics, molecular spectroscopy, chemical physics and theoretical physics. * Discusses nonlinearity and chaotic phenomena in molecular vibrations * Approaches the complicated highly excited molecular vibration * Provides clear information for students and researchers looking to expand knowledge in this field
Book Synopsis Thinking Through Project-Based Learning by : Jane Krauss
Download or read book Thinking Through Project-Based Learning written by Jane Krauss and published by Corwin Press. This book was released on 2013-03-05 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: Everything you need to know to lead effective and engaging project-based learning! This timely and practical book shows how to implement academically-rich classroom projects that teach the all-important skill of inquiry. Teachers will find: A research-driven case for project-based learning, supported by current findings on brain development and connections with Common Core standards Numerous sample projects for every K-12 grade level Strategies for integrating project-based learning within all main subject areas, across disciplines, and with current technology and social media Ideas for involving the community through student field research, special guests, and showcasing student work
Book Synopsis Linear Algebra and Matrices: Topics for a Second Course by : Helene Shapiro
Download or read book Linear Algebra and Matrices: Topics for a Second Course written by Helene Shapiro and published by American Mathematical Soc.. This book was released on 2015-10-08 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear algebra and matrix theory are fundamental tools for almost every area of mathematics, both pure and applied. This book combines coverage of core topics with an introduction to some areas in which linear algebra plays a key role, for example, block designs, directed graphs, error correcting codes, and linear dynamical systems. Notable features include a discussion of the Weyr characteristic and Weyr canonical forms, and their relationship to the better-known Jordan canonical form; the use of block cyclic matrices and directed graphs to prove Frobenius's theorem on the structure of the eigenvalues of a nonnegative, irreducible matrix; and the inclusion of such combinatorial topics as BIBDs, Hadamard matrices, and strongly regular graphs. Also included are McCoy's theorem about matrices with property P, the Bruck-Ryser-Chowla theorem on the existence of block designs, and an introduction to Markov chains. This book is intended for those who are familiar with the linear algebra covered in a typical first course and are interested in learning more advanced results.
Book Synopsis Symmetries in Particle Physics by : Itzhak Bars
Download or read book Symmetries in Particle Physics written by Itzhak Bars and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Algebra written by B.L. van der Waerden and published by Springer. This book was released on 2003-11-04 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This beautiful and eloquent text transformed the graduate teaching of algebra in Europe and the United States. It clearly and succinctly formulated the conceptual and structural insights which Noether had expressed so forcefully and combined it with the elegance and understanding with which Artin had lectured. This text is a reprinted version of the original English translation of the first volume of B.L. van der Waerden’s Algebra.
Book Synopsis Introduction to Commutative Algebra and Algebraic Geometry by : Ernst Kunz
Download or read book Introduction to Commutative Algebra and Algebraic Geometry written by Ernst Kunz and published by Springer Science & Business Media. This book was released on 1985 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: It has been estimated that, at the present stage of our knowledge, one could give a 200 semester course on commutative algebra and algebraic geometry without ever repeating himself. So any introduction to this subject must be highly selective. I first want to indicate what point of view guided the selection of material for this book. This introduction arose from lectures for students who had taken a basic course in algebra and could therefore be presumed to have a knowledge of linear algebra, ring and field theory, and Galois theory. The present text shouldn't require much more. In the lectures and in this text I have undertaken with the fewest possible auxiliary means to lead up to some recent results of commutative algebra and algebraic geometry concerning the representation of algebraic varieties as in tersections of the least possible number of hypersurfaces and- a closely related problem-with the most economical generation of ideals in Noetherian rings. The question of the equations needed to describe an algebraic variety was addressed by Kronecker in 1882. In the 1940s it was chiefly Perron who was interested in this question; his discussions with Severi made the problem known and contributed to sharpening the rei event concepts. Thanks to the general progress of commutative algebra many beautiful results in this circle of questions have been obtained, mainly after the solution of Serre's problem on projective modules. Because of their relatively elementary character they are especially suitable for an introduction to commutative algebra.
Book Synopsis Aristotle and Plotinus on the Intellect by : Mark J. Nyvlt
Download or read book Aristotle and Plotinus on the Intellect written by Mark J. Nyvlt and published by Lexington Books. This book was released on 2012 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book emphasizes that Aristotle was aware of the philosophical attempt to subordinate divine Intellect to a prior and absolute principle. Nyvlt argues that Aristotle transforms the Platonic doctrine of Ideal Numbers into an astronomical account of the unmoved movers, which function as the multiple intelligible content of divine Intellect. Thus, within Aristotle we have in germ the Plotinian doctrine that the intelligibles are within the Intellect. While the content of divine Intellect is multiple, it does not imply that divine Intellect possesses a degree of potentiality, given that potentiality entails otherness and contraries. Rather, the very content of divine Intellect is itself; it is Thought Thinking Itself. The pure activity of divine Intellect, moreover, allows for divine Intellect to know the world, and the acquisition of this knowledge does not infect divine Intellect with potentiality. The status of the intelligible object(s) within divine Intellect is pure activity that is identical with divine Intellect itself, as T. De Koninck and H. Seidl have argued. Therefore, the intelligible objects within divine Intellect are not separate entities that determine divine Intellect, as is the case in Plotinus.-- Book Description from Website.
Book Synopsis Boost Your STEAM Program with Great Literature and Activities by : Liz Knowles
Download or read book Boost Your STEAM Program with Great Literature and Activities written by Liz Knowles and published by Bloomsbury Publishing USA. This book was released on 2018-06-01 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: You've created a STEAM program in your library, but how do you work literacy into the curriculum? With this collection of resource recommendations, direction for program development, and activities, you'll have students reading proficiently in no time. Many schools and libraries are implementing STEAM programs in the school library makerspace to promote problem solving by allowing students to create their own solutions to a problem through trial and error. In order to enhance literacy development in the STEAM program, however, they need resources for integrating literature into the curriculum. In this collection of resources for doing just that, veteran education professionals and practiced coauthors Liz Knowles and Martha Smith bring readers over eight hundred recommended and annotated books and web resources, selected based on research on successfully integrating STEAM and literacy programs and organized by the five STEAM areas. Titles are complemented by discussion questions and problem-solving activities that will aid educators in both adding and using the best literature to their STEAM programs for encouraging learning. In addition to promoting literacy, these resources will help to develop creativity, lateral thinking skills, and confidence in students.
Book Synopsis It Must be Beautiful by : Graham Farmelo
Download or read book It Must be Beautiful written by Graham Farmelo and published by Granta Books (Uk). This book was released on 2002 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: A stunning and unique look at the great equations that lie at the heart of many of the most successful scientific theories.
Book Synopsis Unsupervised Feature Extraction Applied to Bioinformatics by : Y-h. Taguchi
Download or read book Unsupervised Feature Extraction Applied to Bioinformatics written by Y-h. Taguchi and published by Springer Nature. This book was released on 2019-08-23 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book proposes applications of tensor decomposition to unsupervised feature extraction and feature selection. The author posits that although supervised methods including deep learning have become popular, unsupervised methods have their own advantages. He argues that this is the case because unsupervised methods are easy to learn since tensor decomposition is a conventional linear methodology. This book starts from very basic linear algebra and reaches the cutting edge methodologies applied to difficult situations when there are many features (variables) while only small number of samples are available. The author includes advanced descriptions about tensor decomposition including Tucker decomposition using high order singular value decomposition as well as higher order orthogonal iteration, and train tenor decomposition. The author concludes by showing unsupervised methods and their application to a wide range of topics. Allows readers to analyze data sets with small samples and many features; Provides a fast algorithm, based upon linear algebra, to analyze big data; Includes several applications to multi-view data analyses, with a focus on bioinformatics.
Book Synopsis Algebras, Rings and Modules by : Michiel Hazewinkel
Download or read book Algebras, Rings and Modules written by Michiel Hazewinkel and published by American Mathematical Soc.. This book was released on 2010 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting an introduction to the theory of Hopf algebras, the authors also discuss some important aspects of the theory of Lie algebras. This book includes a chapters on the Hopf algebra of symmetric functions, the Hopf algebra of representations of the symmetric groups, the Hopf algebras of the nonsymmetric and quasisymmetric functions, and the Hopf algebra of permutations.
Book Synopsis Projective Differential Geometry Old and New by : V. Ovsienko
Download or read book Projective Differential Geometry Old and New written by V. Ovsienko and published by Cambridge University Press. This book was released on 2004-12-13 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ideas of projective geometry keep reappearing in seemingly unrelated fields of mathematics. The authors' main goal in this 2005 book is to emphasize connections between classical projective differential geometry and contemporary mathematics and mathematical physics. They also give results and proofs of classic theorems. Exercises play a prominent role: historical and cultural comments set the basic notions in a broader context. The book opens by discussing the Schwarzian derivative and its connection to the Virasoro algebra. One-dimensional projective differential geometry features strongly. Related topics include differential operators, the cohomology of the group of diffeomorphisms of the circle, and the classical four-vertex theorem. The classical theory of projective hypersurfaces is surveyed and related to some very recent results and conjectures. A final chapter considers various versions of multi-dimensional Schwarzian derivative. In sum, here is a rapid route for graduate students and researchers to the frontiers of current research in this evergreen subject.
Book Synopsis Algebraic Topology: New Trends in Localization and Periodicity by : Carles Broto
Download or read book Algebraic Topology: New Trends in Localization and Periodicity written by Carles Broto and published by Birkhäuser. This book was released on 2012-12-06 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: Central to this collection of papers are new developments in the general theory of localization of spaces. This field has undergone tremendous change of late and is yielding new insight into the mysteries of classical homotopy theory. The present volume comprises the refereed articles submitted at the Conference on Algebraic Topology held in Sant Feliu de Guíxols, Spain, in June 1994. Several comprehensive articles on general localization clarify the basic tools and give a report on the state of the art in the subject matter. The text is therefore accessible not only to the professional mathematician but also to the advanced student.
Book Synopsis North vs. South Collection by : Jules Verne
Download or read book North vs. South Collection written by Jules Verne and published by DigiCat. This book was released on 2022-05-17 with total page 10753 pages. Available in PDF, EPUB and Kindle. Book excerpt: DigiCat Publishing presents to you this unique collection of the carefully picked out Civil War novels and stories:_x000D_ History of the Civil War, 1861-1865 (James Ford Rhodes)_x000D_ The Red Badge of Courage (Stephen Crane)_x000D_ The Little Regiment (Stephen Crane)_x000D_ The Veteran (Stephen Crane)_x000D_ An Occurrence at Owl Creek Bridge (Ambrose Bierce)_x000D_ A Horseman in the Sky (Ambrose Bierce)_x000D_ Chickamauga (Ambrose Bierce)_x000D_ The Private History of a Campaign That Failed (Mark Twain)_x000D_ A Curious Experience (Mark Twain)_x000D_ The Guns of Bull Run (Joseph A. Altsheler)_x000D_ The Guns of Shiloh (Joseph A. Altsheler)_x000D_ The Scouts of Stonewall (Joseph A. Altsheler)_x000D_ The Sword of Antietam (Joseph A. Altsheler)_x000D_ The Star of Gettysburg (Joseph A. Altsheler)_x000D_ The Rock of Chickamauga (Joseph A. Altsheler)_x000D_ The Shades of the Wilderness (Joseph A. Altsheler)_x000D_ The Tree of Appomattox (Joseph A. Altsheler)_x000D_ The Crisis (Winston Churchill)_x000D_ Miss Ravenel's Conversion from Secession to Loyalty (John William De Forest)_x000D_ With Lee in Virginia (G. A. Henty)_x000D_ Who Would Have Thought It? (María Ruiz de Burton)_x000D_ The Long Roll (Mary Johnston)_x000D_ Cease Firing (Mary Johnston)_x000D_ The Victim: A Romance of the Real Jefferson Davis (Thomas Dixon Jr.)_x000D_ Kincaid's Battery (George Washington Cable)_x000D_ The Border Spy (Harry Hazelton)_x000D_ The Battle Ground (Ellen Glasgow)_x000D_ Who Goes There? (B. K. Benson)_x000D_ Ailsa Paige (Robert W. Chambers)_x000D_ Special Messenger (Robert W. Chambers)_x000D_ How Private George W. Peck Put Down the Rebellion (George W. Peck)_x000D_ Raiding with Morgan (Byron A. Dunn)_x000D_ Mohun; Or, the Last Days of Lee and His Paladins (John Esten Cooke)_x000D_ Brother Against Brother (John R. Musick)_x000D_ The Last Three Soldiers (W. H. Shelton)_x000D_ A War-Time Wooing (Charles King)_x000D_ The Iron Game (Henry F. Keenan)_x000D_ The Blockade Runners (Jules Verne)_x000D_ The Lost Despatch (Natalie Sumner Lincoln)_x000D_ My Lady of the North (Randall Parrish)_x000D_ Uncle Daniel's Story of "Tom" Anderson (John McElroy)_x000D_ The Red Acorn (John McElroy)_x000D_ Winning His Way (Charles Carleton Coffin)_x000D_ A Daughter of the Union (Lucy Foster Madison)_x000D_ Chasing an Iron Horse (Edward Robins)_x000D_ The Man Without a Country (Edward Everett Hale)
Book Synopsis The Warfare of Divided Allegiances: Civil War Collection by : Stephen Crane
Download or read book The Warfare of Divided Allegiances: Civil War Collection written by Stephen Crane and published by e-artnow. This book was released on 2021-04-01 with total page 10764 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Madison & Adams edition presents the greatest novels and stories written in the aftermath of the Civil War, trying to show the truth in disguise of fiction, the trauma, the turmoil, the massacre and the heroism of all people involved:_x000D_ Stephen Crane:_x000D_ The Red Badge of Courage_x000D_ The Little Regiment_x000D_ The Veteran_x000D_ The Private History of a Campaign That Failed & A Curious Experience (Mark Twain)_x000D_ Ambrose Bierce:_x000D_ An Occurrence at Owl Creek Bridge_x000D_ A Horseman in the Sky_x000D_ Chickamauga_x000D_ Joseph A. Altsheler: _x000D_ The Guns of Bull Run_x000D_ The Guns of Shiloh_x000D_ The Scouts of Stonewall_x000D_ The Sword of Antietam_x000D_ The Star of Gettysburg_x000D_ The Rock of Chickamauga_x000D_ The Shades of the Wilderness_x000D_ The Tree of Appomattox_x000D_ The Crisis (Winston Churchill)_x000D_ Miss Ravenel's Conversion from Secession to Loyalty (John William De Forest)_x000D_ With Lee in Virginia (G. A. Henty)_x000D_ Who Would Have Thought It? (María Ruiz de Burton)_x000D_ The Long Roll (Mary Johnston)_x000D_ Cease Firing (Mary Johnston)_x000D_ The Victim: A Romance of the Real Jefferson Davis (Thomas Dixon Jr.)_x000D_ Kincaid's Battery (George Washington Cable)_x000D_ The Border Spy (Harry Hazelton)_x000D_ The Battle Ground (Ellen Glasgow)_x000D_ Who Goes There? (B. K. Benson)_x000D_ Ailsa Paige (Robert W. Chambers)_x000D_ Special Messenger (Robert W. Chambers)_x000D_ How Private George W. Peck Put Down the Rebellion (George W. Peck)_x000D_ Raiding with Morgan (Byron A. Dunn)_x000D_ Mohun; Or, the Last Days of Lee and His Paladins (John Esten Cooke)_x000D_ Brother Against Brother (John R. Musick)_x000D_ The Last Three Soldiers (W. H. Shelton)_x000D_ A War-Time Wooing (Charles King)_x000D_ The Iron Game (Henry F. Keenan)_x000D_ The Blockade Runners (Jules Verne)_x000D_ The Lost Despatch (Natalie Sumner Lincoln)_x000D_ My Lady of the North (Randall Parrish)_x000D_ Uncle Daniel's Story of "Tom" Anderson (John McElroy)_x000D_ The Red Acorn (John McElroy)_x000D_ Winning His Way (Charles Carleton Coffin)_x000D_ A Daughter of the Union (Lucy Foster Madison)_x000D_ Chasing an Iron Horse (Edward Robins)_x000D_ The Man Without a Country (Edward Everett Hale)_x000D_ History of the Civil War, 1861-1865 (James Ford Rhodes)
Book Synopsis Wolf Prize in Mathematics by : Shiing-Shen Chern
Download or read book Wolf Prize in Mathematics written by Shiing-Shen Chern and published by World Scientific. This book was released on 2000 with total page 944 pages. Available in PDF, EPUB and Kindle. Book excerpt:
