Download (Sample) Algebra Vol 1 for Boards/ JEE Main/ Advanced/ Olympiads/ KVPY PDF

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Publisher : Disha Publications
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Download (Sample) Algebra Vol 1 for Boards/ JEE Main/ Advanced/ Olympiads/ KVPY PDF by Gajendra Kumar Full Free and published by Disha Publications. This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebra Vol 1 for Boards/ JEE Main/ Advanced/ Olympiads/ KVPY is a unique book as it starts from the scratch and goes up to Olympiad level. The salient features are: Each of the chapters can be divided into 2 parts - JEE Main Comprehensive theory with numerous Illustrations followed by 2 level of exercises & JEE Advanced Theory with Illustrations followed by 3 level of exercises. • Concept Applicator (CA) In chapter exercise in Part A • Concept Builder (CB) Post chapter exercise containing easy questions in Part A • Concept Cracker (CC) Post chapter exercise containing past exam questions & difficult questions for JEE Main • Concept Deviator (CD) - contains all variety of JEE Advanced problems • Concept Eliminator (CE) - Olympiad level difficult problems The book also contains questions from the past years IIT JEE/ AIEEE questions. Each and every question is given with detailed solution.


Download Grassmann Algebra Volume 1: Foundations PDF

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Publisher : John M Browne
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ISBN 10 : 9781479197637
Pages : 588 pages
Rating : 4.4/5 (479 users)

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Download Grassmann Algebra Volume 1: Foundations PDF by John Browne Full Free and published by John M Browne. This book was released on 2012-10-25 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: Grassmann Algebra Volume 1: Foundations Exploring extended vector algebra with Mathematica Grassmann algebra extends vector algebra by introducing the exterior product to algebraicize the notion of linear dependence. With it, vectors may be extended to higher-grade entities: bivectors, trivectors, … multivectors. The extensive exterior product also has a regressive dual: the regressive product. The pair behaves a little like the Boolean duals of union and intersection. By interpreting one of the elements of the vector space as an origin point, points can be defined, and the exterior product can extend points into higher-grade located entities from which lines, planes and multiplanes can be defined. Theorems of Projective Geometry are simply formulae involving these entities and the dual products. By introducing the (orthogonal) complement operation, the scalar product of vectors may be extended to the interior product of multivectors, which in this more general case may no longer result in a scalar. The notion of the magnitude of vectors is extended to the magnitude of multivectors: for example, the magnitude of the exterior product of two vectors (a bivector) is the area of the parallelogram formed by them. To develop these foundational concepts, we need only consider entities which are the sums of elements of the same grade. This is the focus of this volume. But the entities of Grassmann algebra need not be of the same grade, and the possible product types need not be constricted to just the exterior, regressive and interior products. For example quaternion algebra is simply the Grassmann algebra of scalars and bivectors under a new product operation. Clifford, geometric and higher order hypercomplex algebras, for example the octonions, may be defined similarly. If to these we introduce Clifford's invention of a scalar which squares to zero, we can define entities (for example dual quaternions) with which we can perform elaborate transformations. Exploration of these entities, operations and algebras will be the focus of the volume to follow this. There is something fascinating about the beauty with which the mathematical structures that Hermann Grassmann discovered describe the physical world, and something also fascinating about how these beautiful structures have been largely lost to the mainstreams of mathematics and science. He wrote his seminal Ausdehnungslehre (Die Ausdehnungslehre. Vollständig und in strenger Form) in 1862. But it was not until the latter part of his life that he received any significant recognition for it, most notably by Gibbs and Clifford. In recent times David Hestenes' Geometric Algebra must be given the credit for much of the emerging awareness of Grass­mann's innovation. In the hope that the book be accessible to scientists and engineers, students and professionals alike, the text attempts to avoid any terminology which does not make an essential contribution to an understanding of the basic concepts. Some familiarity with basic linear algebra may however be useful. The book is written using Mathematica, a powerful system for doing mathematics on a computer. This enables the theory to be cross-checked with computational explorations. However, a knowledge of Mathematica is not essential for an appreciation of Grassmann's beautiful ideas.


Download (SAMPLE) Algebra Vol 2 for JEE Main & Advanced/ Boards/ Olympiads/ KVPY PDF

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Publisher : Disha Publications
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Download (SAMPLE) Algebra Vol 2 for JEE Main & Advanced/ Boards/ Olympiads/ KVPY PDF by Gajendra Kumar Full Free and published by Disha Publications. This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebra Vol 2 for JEE Main & Advanced/ Boards/ Olympiads/ KVPY is a unique book as it starts from the scratch and goes up to Olympiad level. The salient features are: Each of the chapters can be divided into 2 parts - JEE Main Comprehensive theory with numerous Illustrations followed by 2 level of exercises & JEE Advanced Theory with Illustrations followed by 3 level of exercises. • Concept Applicator (CA) In chapter exercise in Part A • Concept Builder (CB) Post chapter exercise containing easy questions in Part A • Concept Cracker (CC) Post chapter exercise containing past exam questions & difficult questions for JEE Main • Concept Deviator (CD) - contains all variety of JEE Advanced problems • Concept Eliminator (CE) - Olympiad level difficult problems The book also contains questions from the past years IIT JEE/ AIEEE questions. Each and every question is given with detailed solution.


Download International Symposium on History of Machines and Mechanisms PDF

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Publisher : Springer Science & Business Media
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ISBN 10 : 9781402094859
Pages : 378 pages
Rating : 4.4/5 (42 users)

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Download International Symposium on History of Machines and Mechanisms PDF by Hong-Sen Yan Full Free and published by Springer Science & Business Media. This book was released on 2009-01-11 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International Symposium on the History of Machines and Mechanisms is the main activity of the Permanent Commission (PC) for the History of Mechanism and Machine Science (HMM) of the International Federation for the Promotion of Mechanism and Machine Science (IFToMM). The first symposium, HMM2000, was initiated by Dr. Marco Ceccarelli and was held at the University of Cassino (Cassino, Italy) on May 11–13, 2000. The second symposium, HMM2004, was chaired by Dr. Marco Ceccarelli and held at the same venue on May 12–15, 2004. The third symposium, HMM2008, was chaired by Dr. Hong-Sen Yan and held at the National Cheng Kung University (Tainan, Taiwan) on November 11–14, 2008. The mission of IFToMM is to promote research and development in the field of machines and mechanisms by theoretical and experimental methods, along with their practical applications. The aim of HMM2008 is to establish an international forum for presenting and discussing historical developments in the field of Mechanism and Machine Science (MMS). The subject area covers all aspects of the development of HMM, such as machine, mechanism, kinematics, design method, etc., that are related to people, events, objects, anything that assisted in the development of the HMM, and presented in the forms of reasoning and ar- ments, demonstration and identification, and description and evaluation.


Download A Mathematical Bridge PDF

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Publisher : World Scientific Publishing Company
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ISBN 10 : 9789813101241
Pages : 672 pages
Rating : 4.8/5 (813 users)

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Download A Mathematical Bridge PDF by Stephen Hewson Full Free and published by World Scientific Publishing Company. This book was released on 2009-01-20 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although higher mathematics is beautiful, natural and interconnected, to the uninitiated it can feel like an arbitrary mass of disconnected technical definitions, symbols, theorems and methods. An intellectual gulf needs to be crossed before a true, deep appreciation of mathematics can develop. This book bridges this mathematical gap. It focuses on the process of discovery as much as the content, leading the reader to a clear, intuitive understanding of how and why mathematics exists in the way it does. The narrative does not evolve along traditional subject lines: each topic develops from its simplest, intuitive starting point; complexity develops naturally via questions and extensions. Throughout, the book includes levels of explanation, discussion and passion rarely seen in traditional textbooks. The choice of material is similarly rich, ranging from number theory and the nature of mathematical thought to quantum mechanics and the history of mathematics. It rounds off with a selection of thought-provoking and stimulating exercises for the reader.


Download EUROCAL '85. European Conference on Computer Algebra. Linz, Austria, April 1-3, 1985. Proceedings PDF

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Publisher : Springer Science & Business Media
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ISBN 10 : 3540159835
Pages : 233 pages
Rating : 4.1/5 (159 users)

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Download EUROCAL '85. European Conference on Computer Algebra. Linz, Austria, April 1-3, 1985. Proceedings PDF by Bruno Buchberger Full Free and published by Springer Science & Business Media. This book was released on 1985 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Download The Power of Geometric Algebra Computing PDF

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Publisher : CRC Press
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ISBN 10 : 9781000461237
Pages : 202 pages
Rating : 4.0/5 ( users)

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Download The Power of Geometric Algebra Computing PDF by Dietmar Hildenbrand Full Free and published by CRC Press. This book was released on 2021-09-30 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric Algebra is a very powerful mathematical system for an easy and intuitive treatment of geometry, but the community working with it is still very small. The main goal of this book is to close this gap from a computing perspective in presenting the power of Geometric Algebra Computing for engineering applications and quantum computing. The Power of Geometric Algebra Computing is based on GAALOPWeb, a new user-friendly, web-based tool for the generation of optimized code for different programming languages as well as for the visualization of Geometric Algebra algorithms for a wide range of engineering applications. Key Features: Introduces a new web-based optimizer for Geometric Algebra algorithms Supports many programming languages as well as hardware Covers the advantages of high-dimensional algebras Includes geometrically intuitive support of quantum computing This book includes applications from the fields of computer graphics, robotics and quantum computing and will help students, engineers and researchers interested in really computing with Geometric Algebra.


Download Introduction to Geometric Algebra Computing PDF

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Publisher : CRC Press
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ISBN 10 : 9781351648219
Pages : 194 pages
Rating : 4.3/5 (351 users)

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Download Introduction to Geometric Algebra Computing PDF by Dietmar Hildenbrand Full Free and published by CRC Press. This book was released on 2020-12-30 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the Foreword: "Dietmar Hildenbrand's new book, Introduction to Geometric Algebra Computing, in my view, fills an important gap in Clifford's geometric algebra literature...I can only congratulate the author for the daring simplicity of his novel educational approach taken in this book, consequently combined with hands on computer based exploration. Without noticing, the active reader will thus educate himself in elementary geometric algebra algorithm development, geometrically intuitive, highly comprehensible, and fully optimized." --Eckhard Hitzer, International Christian University, Tokyo, Japan Geometric Algebra is a very powerful mathematical system for an easy and intuitive treatment of geometry, but the community working with it is still very small. The main goal of this book is to close this gap with an introduction to Geometric Algebra from an engineering/computing perspective. This book is intended to give a rapid introduction to computing with Geometric Algebra and its power for geometric modeling. From the geometric objects point of view, it focuses on the most basic ones, namely points, lines and circles. This algebra is called Compass Ruler Algebra, since it is comparable to working with a compass and ruler. The book explores how to compute with these geometric objects, and their geometric operations and transformations, in a very intuitive way. The book follows a top-down approach, and while it focuses on 2D, it is also easily expandable to 3D computations. Algebra in engineering applications such as computer graphics, computer vision and robotics are also covered.


Download A New Approach to Differential Geometry using Clifford's Geometric Algebra PDF

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Publisher : Springer Science & Business Media
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ISBN 10 : 9780817682835
Pages : 465 pages
Rating : 4.8/5 (817 users)

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Download A New Approach to Differential Geometry using Clifford's Geometric Algebra PDF by John Snygg Full Free and published by Springer Science & Business Media. This book was released on 2011-12-09 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential geometry is the study of the curvature and calculus of curves and surfaces. A New Approach to Differential Geometry using Clifford's Geometric Algebra simplifies the discussion to an accessible level of differential geometry by introducing Clifford algebra. This presentation is relevant because Clifford algebra is an effective tool for dealing with the rotations intrinsic to the study of curved space. Complete with chapter-by-chapter exercises, an overview of general relativity, and brief biographies of historical figures, this comprehensive textbook presents a valuable introduction to differential geometry. It will serve as a useful resource for upper-level undergraduates, beginning-level graduate students, and researchers in the algebra and physics communities.


Download Clifford Algebra PDF

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Publisher : Oxford University Press on Demand
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ISBN 10 : 9780195098242
Pages : 335 pages
Rating : 4.1/5 (195 users)

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Download Clifford Algebra PDF by John Snygg Full Free and published by Oxford University Press on Demand. This book was released on 1997 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: An increasingly important technique, Clifford algebras have applications in physics ranging from special relativity and rotating tops to general relativity and Dirac's equation. This volume for graduate students and researchers covers the main methods.


Download Quantum Field Theory III: Gauge Theory PDF

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Publisher : Springer Science & Business Media
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ISBN 10 : 9783642224218
Pages : 1141 pages
Rating : 4.6/5 (642 users)

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Download Quantum Field Theory III: Gauge Theory PDF by Eberhard Zeidler Full Free and published by Springer Science & Business Media. This book was released on 2011-08-17 with total page 1141 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this third volume of his modern introduction to quantum field theory, Eberhard Zeidler examines the mathematical and physical aspects of gauge theory as a principle tool for describing the four fundamental forces which act in the universe: gravitative, electromagnetic, weak interaction and strong interaction. Volume III concentrates on the classical aspects of gauge theory, describing the four fundamental forces by the curvature of appropriate fiber bundles. This must be supplemented by the crucial, but elusive quantization procedure. The book is arranged in four sections, devoted to realizing the universal principle force equals curvature: Part I: The Euclidean Manifold as a Paradigm Part II: Ariadne's Thread in Gauge Theory Part III: Einstein's Theory of Special Relativity Part IV: Ariadne's Thread in Cohomology For students of mathematics the book is designed to demonstrate that detailed knowledge of the physical background helps to reveal interesting interrelationships among diverse mathematical topics. Physics students will be exposed to a fairly advanced mathematics, beyond the level covered in the typical physics curriculum. Quantum Field Theory builds a bridge between mathematicians and physicists, based on challenging questions about the fundamental forces in the universe (macrocosmos), and in the world of elementary particles (microcosmos).


Download Research in Education PDF

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ISBN 10 : UOM:39015023534541
Pages : pages
Rating : 4.3/5 (39 users)

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Download Research in Education PDF by Full Free and published by . This book was released on 1974 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:


Download Resources in Education PDF

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ISBN 10 : MINN:30000005804236
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Download Resources in Education PDF by Full Free and published by . This book was released on 1990-07 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:


Download Such Silver Currents PDF

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Publisher : ISD LLC
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ISBN 10 : 9780718848279
Pages : 210 pages
Rating : 4.7/5 (718 users)

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Download Such Silver Currents PDF by Monty Chisholm Full Free and published by ISD LLC. This book was released on 2021-05-27 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Such Silver Currents is the first biography of a mathematical genius and his literary wife, their wide circle of well-known intellectual and artistic friends, and through them of the age in which they lived. William Clifford is now recognised not only for his innovative and lasting mathematics, but also for his philosophy, which embraced the fundamentals of scientific thought, the nature of the physical universe, Darwinian theory, the nature of consciousness, personal morality and law, and the whole mystery of being. Clifford algebra is seen as the basis for Dirac's theory of the electron, fundamental to modern physics, and Clifford also anticipated Einstein's idea that space is curved. The book includes a personal reflection on William Clifford's mathematics by the Nobel Prize winner Sir Roger Penrose O.M. The year after his election to the Royal Society, Clifford married Lucy Lane, the journalist and novelist. During their four years of marriage they held Sunday salons attended by many well-known scientific, literary and artistic personalities. Following William's early death, Lucy became a close friend and confidante of Henry James. Her wide circle of friends included Rudyard Kipling, Thomas Hardy, George Eliot, Leslie Stephen, Thomas Huxley, Sir Frederick Macmillan and Oliver Wendell Holmes Jr.


Download Clifford Numbers and Spinors PDF

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Publisher : Springer Science & Business Media
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ISBN 10 : 9789401710473
Pages : 246 pages
Rating : 4.4/5 (41 users)

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Download Clifford Numbers and Spinors PDF by Marcel Riesz Full Free and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: Marcellliesz's lectures delivered on October 1957 -January 1958 at the Uni versity of Maryland, College Park, have been previously published only infor mally as a manuscript entitled CLIFFORD NUMBERS AND SPINORS (Chap ters I - IV). As the title says, the lecture notes consist of four Chapters I, II, III and IV. However, in the preface of the lecture notes lliesz refers to Chapters V and VI which he could not finish. Chapter VI is mentioned on pages 1, 3, 16, 38 and 156, which makes it plausible that lliesz was well aware of what he was going to include in the final missing chapters. The present book makes lliesz's classic lecture notes generally available to a wider audience and tries somewhat to fill in one of the last missing chapters. This book also tries to evaluate lliesz's influence on the present research on Clifford algebras and draws special attention to lliesz's contributions in this field - often misunderstood.


Download Mathematical Papers PDF

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ISBN 10 : HARVARD:32044051181139
Pages : 776 pages
Rating : 4.A/5 ( users)

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Download Mathematical Papers PDF by William Kingdon Clifford Full Free and published by . This book was released on 1882 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Download Transitions from Digital Communications to Quantum Communications PDF

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Publisher : John Wiley & Sons
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ISBN 10 : 9781119330196
Pages : 230 pages
Rating : 4.1/5 (119 users)

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Download Transitions from Digital Communications to Quantum Communications PDF by Malek Benslama Full Free and published by John Wiley & Sons. This book was released on 2016-07-14 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the move towards quantum communications, in light of the recent technological developments on photonic crystals and their potential applications in systems. The authors present the state of the art on extensive quantum communications, the first part of the book being dedicated to the relevant theory; quantum gates such as Deutsch gates, Toffoli gates and Dedekind gates are reviewed with regards to their feasibility as electronic circuits and their implementation in systems, and a comparison is performed in parallel with conventional circuits such as FPGAs and DSPs. The specifics of quantum communication are also revealed through the entanglement and Bell states, and mathematical and physical aspects of quantum optical fibers and photonic crystals are considered in order to optimize the quantum transmissions. These concepts are linked with relevant, practical examples in the second part of the book, which presents six integrated applications for quantum communications.