Linear Perspectives A Journey Through Vector Spaces
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Linear Perspectives A Journey Through Vector Spaces
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-07-13
Linear Perspectives A Journey Through Vector Spaces written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-13 with Mathematics categories.
Embark on a transformative journey into the world of linear algebra with "Linear Perspectives: A Journey Through Vector Spaces", a comprehensive guide that unveils the elegance and power of this fundamental mathematical discipline. Written with clarity and accessibility, this book invites readers of all backgrounds to explore the captivating world of vectors, matrices, and linear transformations. Discover the essence of vector spaces, the underlying structures that govern the behavior of vectors. Delve into linear combinations, subspaces, linear independence, and dimension, gaining a deep understanding of the fundamental building blocks of linear algebra. Unravel the mysteries of linear transformations, powerful mathematical tools that map vectors from one space to another. Explore the concept of invertibility, unlocking the conditions under which a linear transformation can be reversed. Witness the elegance of matrix representations, providing a concise and efficient way to manipulate and analyze linear transformations. Journey into the realm of inner product spaces, a special class of vector spaces where vectors can be measured and compared using an inner product. Discover the beauty of orthogonality, projections, and the Gram-Schmidt process, unlocking new insights into solving systems of linear equations and understanding the geometry of vector spaces. Encounter eigenvalues and eigenvectors, two fundamental concepts that reveal the secrets of linear operators. Learn how eigenvalues and eigenvectors can be used to diagonalize matrices, transforming them into a simpler and more easily understandable form. Delve into the profound implications of the spectral theorem, a cornerstone of linear algebra that provides a deep and insightful understanding of linear operators. Explore the diverse applications of linear algebra across a wide range of disciplines, from computer graphics and machine learning to quantum mechanics, economics, and signal processing. Witness the remarkable versatility of linear algebra as it empowers researchers and practitioners to solve complex problems and gain new insights into the world around us. "Linear Perspectives: A Journey Through Vector Spaces" is an essential resource for students, researchers, and professionals seeking a comprehensive and engaging introduction to linear algebra. With its clear explanations, insightful examples, and thought-provoking exercises, this book will transform your understanding of this fundamental mathematical discipline and open up new avenues of exploration and discovery. If you like this book, write a review!
Mathematical Perspectives On Theoretical Physics
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Author : Nirmala Prakash
language : en
Publisher: World Scientific Publishing Company
Release Date : 2003-09-02
Mathematical Perspectives On Theoretical Physics written by Nirmala Prakash and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-09-02 with Science categories.
This book presents the basics of mathematics that are needed for learning the physics of today. It describes briefly the theories of groups and operators, finite- and infinite-dimensional algebras, concepts of symmetry and supersymmetry, and then delineates their relations to theories of relativity and black holes, classical and quantum physics, electroweak fields and Yang-Mills. It concludes with a chapter on (the complex theory of) strings and superstrings and their link to black holes — an idea that fascinates both the physicist and the mathematician. Contents:Complex Functions, Riemann Surfaces and Two-Dimensional Conformal Field Theory (an Introduction)Elements of Group Theory and Group RepresentationsA Primer on OperatorsBasics of Algebras and Related ConceptsInfinite-Dimensional AlgebrasThe Role of Symmetry in Physics and MathematicsAll That's Super — An IntroductionGravitation, Relativity and Black HolesBasics of Quantum TheoryTheory of Yang–Mills and the Yang–Mills–Higgs MechanismStrings and Superstrings (Elementary Aspects) Readership: Upper level undergraduates, graduate students, lecturers and researchers in theoretical physics, mathematical physics, quantum physics and astrophysics as well as Yang-Mills and superstring theory.
Mastering Linear Algebra
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Author : Cybellium
language : en
Publisher: Cybellium Ltd
Release Date :
Mastering Linear Algebra written by Cybellium and has been published by Cybellium Ltd this book supported file pdf, txt, epub, kindle and other format this book has been release on with Computers categories.
Unlock the Language of Vectors and Matrices for Enhanced Problem Solving In the realm of mathematics and science, linear algebra stands as a powerful language that underlies numerous disciplines. "Mastering Linear Algebra" is your definitive guide to understanding and harnessing the potential of this essential mathematical framework, empowering you to solve complex problems with clarity and precision. About the Book: As mathematical concepts become more integral to various fields, a strong grasp of linear algebra becomes increasingly valuable. "Mastering Linear Algebra" offers a comprehensive exploration of this foundational subject—a cornerstone of mathematics and its applications. This book caters to both newcomers and experienced learners aiming to excel in linear algebra concepts, computations, and applications. Key Features: Linear Algebra Fundamentals: Begin by understanding the core principles of linear algebra. Learn about vectors, matrices, and linear transformations—the fundamental building blocks of the subject. Matrix Operations: Dive into matrix operations. Explore techniques for matrix addition, multiplication, inversion, and determinant computation. Vector Spaces: Grasp the art of vector spaces and subspaces. Understand how to define, visualize, and analyze vector spaces for various applications. Eigenvalues and Eigenvectors: Explore the significance of eigenvalues and eigenvectors. Learn how they enable the analysis of dynamic systems and transformations. Linear Systems: Understand how linear algebra solves systems of linear equations. Explore techniques for Gaussian elimination, LU decomposition, and matrix factorization. Applications in Science and Engineering: Delve into real-world applications of linear algebra. Discover how it's applied in physics, computer graphics, data analysis, and more. Inner Product Spaces: Grasp the concepts of inner product spaces and orthogonality. Explore applications in geometric interpretations and least-squares solutions. Singular Value Decomposition: Explore the power of singular value decomposition. Understand how it enables data compression, noise reduction, and dimensionality reduction. Why This Book Matters: In a world driven by data and technological advancement, mastering linear algebra offers a competitive edge. "Mastering Linear Algebra" empowers students, researchers, scientists, and technology enthusiasts to leverage this fundamental mathematical language, enabling them to analyze and solve problems across diverse fields. Unlock the Power of Mathematical Insight: In the landscape of mathematics and science, linear algebra is the key to understanding complex relationships and transformations. "Mastering Linear Algebra" equips you with the knowledge needed to leverage linear algebra concepts, enabling you to solve intricate problems with clarity and precision. Whether you're a seasoned learner or new to the world of linear algebra, this book will guide you in building a solid foundation for effective mathematical analysis and application. Your journey to mastering linear algebra starts here. © 2023 Cybellium Ltd. All rights reserved. www.cybellium.com
Human And The 5th Dimension Volume 1
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Author : Prof. Dr. Bilal Semih Bozdemir
language : en
Publisher: Prof. Dr. Bilal Semih Bozdemir
Release Date :
Human And The 5th Dimension Volume 1 written by Prof. Dr. Bilal Semih Bozdemir and has been published by Prof. Dr. Bilal Semih Bozdemir this book supported file pdf, txt, epub, kindle and other format this book has been release on with Art categories.
Human and the 5th Dimension The Mysteries of the Universe From the Fourth Dimension to the Fifth Exploring the Unknown Theories of Multidimensional Space The Nature of Reality Breaking Free from the 3D World Consciousness and the Fifth Dimension Quantum Mechanics and the Fifth Dimension The Fabric of Space-Time The Holographic Universe Hypothesis Transcending the Physical Realm Accessing Higher Planes of Existence Mystical Experiences and the Fifth Dimension Out-of-Body Experiences Near-Death Experiences The Pineal Gland and Extrasensory Perception Astral Projection and Lucid Dreaming Remote Viewing and Psychic Abilities The Influence of Ancient Cultures The Concept of Enlightenment Meditation and Spiritual Awakening The Power of Intention and Manifestation Synchronicity and Meaningful Coincidences The Interconnectedness of All Things The Multiverse Theory and Parallel Universes String Theory and the Fifth Dimension The Unified Field Theory The Bridge Between Science and Spirituality The Implications for Human Evolution Bridging the Gap Between the Physical and the Metaphysical Exploring the Nature of Consciousness The Search for Higher Dimensions Expanding Our Perception of Reality The Transformation of Human Consciousness Unlocking the Potential of the Human Mind The Fifth Dimension and the Future of Humanity Embracing the Mysteries of the Universe Transcending the Limitations of the Physical World The Spiritual Journey of Humanity The Path to Enlightenment and Higher Dimensions Conclusion: The Infinite Possibilities of the Fifth Dimension Q&A and Discussion
Conical Approach To Linear Programming
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Author : P D'Alessandro
language : en
Publisher: CRC Press
Release Date : 2024-12-11
Conical Approach To Linear Programming written by P D'Alessandro and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-11 with Mathematics categories.
The conical approach provides a geometrical understanding of optimization and is a powerful research tool and useful problem-solving technique (for example, in decision support and real time control applications). Conical optimality conditions are first stated in a very general optimization framework, and then applied to linear programming. A complete theory along with primal and dual algorithms is given, and solutions and algorithms are also provided for vector and robust linear optimization. The advantages of parameter dependence of conical methods are fully discussed. In addition to numerical results, the book provides source codes and detailed documentation of a Modula-2 implementation for the main algorithms.
A Journey Through Discrete Mathematics
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Author : Martin Loebl
language : en
Publisher: Springer
Release Date : 2017-10-11
A Journey Through Discrete Mathematics written by Martin Loebl and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-11 with Computers categories.
This collection of high-quality articles in the field of combinatorics, geometry, algebraic topology and theoretical computer science is a tribute to Jiří Matoušek, who passed away prematurely in March 2015. It is a collaborative effort by his colleagues and friends, who have paid particular attention to clarity of exposition – something Jirka would have approved of. The original research articles, surveys and expository articles, written by leading experts in their respective fields, map Jiří Matoušek’s numerous areas of mathematical interest.
Linear Algebra Unraveled
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-04-12
Linear Algebra Unraveled written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-12 with Mathematics categories.
"Linear Algebra Unraveled" is an illuminating journey through the captivating world of linear algebra, a branch of mathematics that holds the key to understanding the patterns and relationships that govern our universe. This comprehensive guide unveils the power of linear algebra in transforming complex problems into elegant solutions, making it an indispensable tool for students, researchers, and professionals alike. With a friendly and engaging narrative, this book brings abstract concepts to life, making linear algebra accessible and enjoyable to learn. From the fundamental building blocks of vectors and matrices to the intricate world of linear transformations, the reader is guided through a carefully crafted progression of topics, building a deep understanding of the subject. Discover the elegance of linear algebra in solving real-world problems, from analyzing complex data sets to unraveling the mysteries of quantum mechanics. Witness how matrices and vectors dance together to reveal hidden patterns and relationships in fields as diverse as computer graphics, engineering, finance, and physics. "Linear Algebra Unraveled" is more than just a textbook; it's an invitation to embark on an intellectual adventure, to explore the beauty and power of a mathematical language that has revolutionized our understanding of the world around us. With clear explanations, engaging examples, and thought-provoking exercises, this book empowers readers to unlock the secrets of linear algebra and apply its transformative power to their own fields of study or work. Written with passion and clarity, "Linear Algebra Unraveled" is an essential resource for anyone seeking to master this fundamental branch of mathematics. Whether you're a student seeking a solid foundation, a researcher delving into advanced concepts, or a professional seeking to expand your mathematical horizons, this book will illuminate your path to mastery. If you like this book, write a review on google books!
Symmetries Unveiled
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Author : Oliver Vella
language : en
Publisher: eBookIt.com
Release Date : 2025-02-27
Symmetries Unveiled written by Oliver Vella and has been published by eBookIt.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-27 with Mathematics categories.
Exploring the Mysteries of Representation Theory Dive into the fascinating universe of symmetries and representations, where mathematics unravels the secrets of the universe. Symmetries Unveiled: A Journey Through Representation Theory invites readers on a thrilling expedition through the intricate landscape of mathematical theory and its profound impact on science. As you embark on this mathematical voyage, you'll uncover foundational concepts and historical development behind representation theory. From the elegant symmetries of groups to the groundbreaking applications of linear representations, this book is your gateway to a deeper understanding of the subject. Through chapters dedicated to Lie algebras, root systems, and quantum groups, the narrative weaves a tapestry of knowledge that connects abstract theory with real-world applications. Imagine navigating the compelling world of Kac-Moody algebras, discovering the role of crystal bases, and unlocking the mysteries of non-linear realisations. Each chapter promises to ignite curiosity with insights into symmetries in quantum mechanics and their implications in modern physics. Whether you're captivated by symmetry breaking or intrigued by the concept of duality, this book offers a profound exploration of these topics and more. Symmetries Unveiled is not just a book for mathematicians; it's a treasure trove for anyone passionate about the interplay between theory and application in theoretical physics. With chapters on computational approaches, educational techniques, and interdisciplinary impacts, it also serves as a comprehensive guide for educators and researchers alike. The culmination of the journey is an exploration of open problems and philosophical insights, paving the way for future exploration and discovery. Join this intellectual adventure and let Symmetries Unveiled transform your understanding of the mathematical principles that underpin the very fabric of reality.
Mathematics Of Machine Learning
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Author : Tivadar Danka
language : en
Publisher: Packt Publishing Ltd
Release Date : 2025-05-30
Mathematics Of Machine Learning written by Tivadar Danka and has been published by Packt Publishing Ltd this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-30 with Computers categories.
Build a solid foundation in the core math behind machine learning algorithms with this comprehensive guide to linear algebra, calculus, and probability, explained through practical Python examples Purchase of the print or Kindle book includes a free PDF eBook Key Features Master linear algebra, calculus, and probability theory for ML Bridge the gap between theory and real-world applications Learn Python implementations of core mathematical concepts Book DescriptionMathematics of Machine Learning provides a rigorous yet accessible introduction to the mathematical underpinnings of machine learning, designed for engineers, developers, and data scientists ready to elevate their technical expertise. With this book, you’ll explore the core disciplines of linear algebra, calculus, and probability theory essential for mastering advanced machine learning concepts. PhD mathematician turned ML engineer Tivadar Danka—known for his intuitive teaching style that has attracted 100k+ followers—guides you through complex concepts with clarity, providing the structured guidance you need to deepen your theoretical knowledge and enhance your ability to solve complex machine learning problems. Balancing theory with application, this book offers clear explanations of mathematical constructs and their direct relevance to machine learning tasks. Through practical Python examples, you’ll learn to implement and use these ideas in real-world scenarios, such as training machine learning models with gradient descent or working with vectors, matrices, and tensors. By the end of this book, you’ll have gained the confidence to engage with advanced machine learning literature and tailor algorithms to meet specific project requirements. What you will learn Understand core concepts of linear algebra, including matrices, eigenvalues, and decompositions Grasp fundamental principles of calculus, including differentiation and integration Explore advanced topics in multivariable calculus for optimization in high dimensions Master essential probability concepts like distributions, Bayes' theorem, and entropy Bring mathematical ideas to life through Python-based implementations Who this book is for This book is for aspiring machine learning engineers, data scientists, software developers, and researchers who want to gain a deeper understanding of the mathematics that drives machine learning. A foundational understanding of algebra and Python, and basic familiarity with machine learning tools are recommended.
A Wavelet Tour Of Signal Processing
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Author : Stephane Mallat
language : en
Publisher: Elsevier
Release Date : 1999-09-14
A Wavelet Tour Of Signal Processing written by Stephane Mallat and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-09-14 with Computers categories.
This book is intended to serve as an invaluable reference for anyone concerned with the application of wavelets to signal processing. It has evolved from material used to teach "wavelet signal processing" courses in electrical engineering departments at Massachusetts Institute of Technology and Tel Aviv University, as well as applied mathematics departments at the Courant Institute of New York University and ÉcolePolytechnique in Paris. - Provides a broad perspective on the principles and applications of transient signal processing with wavelets - Emphasizes intuitive understanding, while providing the mathematical foundations and description of fast algorithms - Numerous examples of real applications to noise removal, deconvolution, audio and image compression, singularity and edge detection, multifractal analysis, and time-varying frequency measurements - Algorithms and numerical examples are implemented in Wavelab, which is a Matlab toolbox freely available over the Internet - Content is accessible on several level of complexity, depending on the individual reader's needs New to the Second Edition - Optical flow calculation and video compression algorithms - Image models with bounded variation functions - Bayes and Minimax theories for signal estimation - 200 pages rewritten and most illustrations redrawn - More problems and topics for a graduate course in wavelet signal processing, in engineering and applied mathematics