Mathematical methods physics engineering de chong (28 resultados)

Condición: New.

Paperback. Condición: New. This book provides an accessible introduction to mathematical methods essential for physics, engineering, and modern computational analysis. Starting from foundational topics such as ordinary and partial differential equations, readers are then introduced to powerful techniques including Fourier and Laplace transforms, series expansions, matrix and eigenvalue methods, and numerical strategies such as iterative refinement."Mathematical Methods for Physics and Engineering: Practical Applications" emphasizes intuitive understanding and real-world applications: why the Lagrangian in classical mechanics takes the form T?V; how stability and sensitivity analysis connect to condition numbers and perturbation theory; and how matrix representations provide insight into optimisation and numerical stability.Numerical examples and step-by-step derivations encourage active problem-solving and demonstrate how abstract methods translate into practical computations. It also highlights how these mathematical tools form the foundation of many techniques used in contemporary machine learning; from optimization algorithms and least-squares regression to spectral methods, kernel functions, and high-dimensional data analysis.This is an ideal textbook for advanced undergraduate and graduate students studying mathematical methods for physics and/or engineering. Readers are equipped not only a versatile toolkit of methods, but also a deeper conceptual understanding of when, where, and why each tool is appropriate - empowering them to approach problems in physics and engineering.Key features:Provides a toolkit of mathematical methodsPedagogically focused, with homework problems included with each chapterCovers exciting topics including high-dimensional data analysis and machine learningChong Qi is an Associate Professor in the Division of Nuclear Science and Engineering, Department of Physics, at the KTH Royal Institute of Technology, Stockholm. His research spans theoretical nuclear physics, many-body physics, and computational physics. He teaches courses in mathematical physics, subatomic and nuclear physics, and quantum many-body theory, and supervises students at both undergraduate and graduate levels in nuclear physics and nuclear engineering. He earned his PhD from Peking University, followed by postdoctoral research at KTH, and has since held visiting professorships at several universities around the world, including Sun Yat-sen University, where a large part of this book was written. He also serves in various editorial roles and is an honorary member of the Romanian Academy of Scientists.…

Paperback. Condición: Brand New. 306 pages. 9.18x6.12x10.00 inches. In Stock.

PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000.

PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000.

Condición: New.

Condición: New. Chong Qi is an Associate Professor in the Division of Nuclear Science and Engineering, Department of Physics, at the KTH Royal Institute of Technology, Stockholm. His research spans theoretical nuclear physics, many-body physics, and computational.

Paperback. Condición: New. This book provides an accessible introduction to mathematical methods essential for physics, engineering, and modern computational analysis. Starting from foundational topics such as ordinary and partial differential equations, readers are then introduced to powerful techniques including Fourier and Laplace transforms, series expansions, matrix and eigenvalue methods, and numerical strategies such as iterative refinement."Mathematical Methods for Physics and Engineering: Practical Applications" emphasizes intuitive understanding and real-world applications: why the Lagrangian in classical mechanics takes the form T?V; how stability and sensitivity analysis connect to condition numbers and perturbation theory; and how matrix representations provide insight into optimisation and numerical stability.Numerical examples and step-by-step derivations encourage active problem-solving and demonstrate how abstract methods translate into practical computations. It also highlights how these mathematical tools form the foundation of many techniques used in contemporary machine learning; from optimization algorithms and least-squares regression to spectral methods, kernel functions, and high-dimensional data analysis.This is an ideal textbook for advanced undergraduate and graduate students studying mathematical methods for physics and/or engineering. Readers are equipped not only a versatile toolkit of methods, but also a deeper conceptual understanding of when, where, and why each tool is appropriate - empowering them to approach problems in physics and engineering.Key features:Provides a toolkit of mathematical methodsPedagogically focused, with homework problems included with each chapterCovers exciting topics including high-dimensional data analysis and machine learningChong Qi is an Associate Professor in the Division of Nuclear Science and Engineering, Department of Physics, at the KTH Royal Institute of Technology, Stockholm. His research spans theoretical nuclear physics, many-body physics, and computational physics. He teaches courses in mathematical physics, subatomic and nuclear physics, and quantum many-body theory, and supervises students at both undergraduate and graduate levels in nuclear physics and nuclear engineering. He earned his PhD from Peking University, followed by postdoctoral research at KTH, and has since held visiting professorships at several universities around the world, including Sun Yat-sen University, where a large part of this book was written. He also serves in various editorial roles and is an honorary member of the Romanian Academy of Scientists.…

Condición: New.

Taschenbuch. Condición: Neu. Neuware - This book provides an accessible introduction to mathematical methods essential for physics, engineering, and modern computational analysis. Starting from foundational topics such as ordinary and partial differential equations, readers are then introduced to powerful techniques including Fourier and Laplace transforms, series expansions, matrix and eigenvalue methods, and numerical strategies such as iterative refinement.'Mathematical Methods for Physics and Engineering: Practical Applications' emphasizes intuitive understanding and real-world applications: why the Lagrangian in classical mechanics takes the form T¿V; how stability and sensitivity analysis connect to condition numbers and perturbation theory; and how matrix representations provide insight into optimisation and numerical stability.Numerical examples and step-by-step derivations encourage active problem-solving and demonstrate how abstract methods translate into practical computations. It also highlights how these mathematical tools form the foundation of many techniques used in contemporary machine learning; from optimization algorithms and least-squares regression to spectral methods, kernel functions, and high-dimensional data analysis.This is an ideal textbook for advanced undergraduate and graduate students studying mathematical methods for physics and/or engineering. Readers are equipped not only a versatile toolkit of methods, but also a deeper conceptual understanding of when, where, and why each tool is appropriate - empowering them to approach problems in physics and engineering.Key features: - Provides a toolkit of mathematical methods - Pedagogically focused, with homework problems included with each chapter - Covers exciting topics including high-dimensional data analysis and machine learning Chong Qi is an Associate Professor in the Division of Nuclear Science and Engineering, Department of Physics, at the KTH Royal Institute of Technology, Stockholm. His research spans theoretical nuclear physics, many-body physics, and computational physics. He teaches courses in mathematical physics, subatomic and nuclear physics, and quantum many-body theory, and supervises students at both undergraduate and graduate levels in nuclear physics and nuclear engineering. He earned his PhD from Peking University, followed by postdoctoral research at KTH, and has since held visiting professorships at several universities around the world, including Sun Yat-sen University, where a large part of this book was written. He also serves in various editorial roles and is an honorary member of the Romanian Academy of Scientists.…

Paperback. Condición: New. This book provides an accessible introduction to mathematical methods essential for physics, engineering, and modern computational analysis. Starting from foundational topics such as ordinary and partial differential equations, readers are then introduced to powerful techniques including Fourier and Laplace transforms, series expansions, matrix and eigenvalue methods, and numerical strategies such as iterative refinement."Mathematical Methods for Physics and Engineering: Practical Applications" emphasizes intuitive understanding and real-world applications: why the Lagrangian in classical mechanics takes the form T?V; how stability and sensitivity analysis connect to condition numbers and perturbation theory; and how matrix representations provide insight into optimisation and numerical stability.Numerical examples and step-by-step derivations encourage active problem-solving and demonstrate how abstract methods translate into practical computations. It also highlights how these mathematical tools form the foundation of many techniques used in contemporary machine learning; from optimization algorithms and least-squares regression to spectral methods, kernel functions, and high-dimensional data analysis.This is an ideal textbook for advanced undergraduate and graduate students studying mathematical methods for physics and/or engineering. Readers are equipped not only a versatile toolkit of methods, but also a deeper conceptual understanding of when, where, and why each tool is appropriate - empowering them to approach problems in physics and engineering.Key features:Provides a toolkit of mathematical methodsPedagogically focused, with homework problems included with each chapterCovers exciting topics including high-dimensional data analysis and machine learningChong Qi is an Associate Professor in the Division of Nuclear Science and Engineering, Department of Physics, at the KTH Royal Institute of Technology, Stockholm. His research spans theoretical nuclear physics, many-body physics, and computational physics. He teaches courses in mathematical physics, subatomic and nuclear physics, and quantum many-body theory, and supervises students at both undergraduate and graduate levels in nuclear physics and nuclear engineering. He earned his PhD from Peking University, followed by postdoctoral research at KTH, and has since held visiting professorships at several universities around the world, including Sun Yat-sen University, where a large part of this book was written. He also serves in various editorial roles and is an honorary member of the Romanian Academy of Scientists.…

Paperback. Condición: New. This book provides an accessible introduction to mathematical methods essential for physics, engineering, and modern computational analysis. Starting from foundational topics such as ordinary and partial differential equations, readers are then introduced to powerful techniques including Fourier and Laplace transforms, series expansions, matrix and eigenvalue methods, and numerical strategies such as iterative refinement."Mathematical Methods for Physics and Engineering: Practical Applications" emphasizes intuitive understanding and real-world applications: why the Lagrangian in classical mechanics takes the form T?V; how stability and sensitivity analysis connect to condition numbers and perturbation theory; and how matrix representations provide insight into optimisation and numerical stability.Numerical examples and step-by-step derivations encourage active problem-solving and demonstrate how abstract methods translate into practical computations. It also highlights how these mathematical tools form the foundation of many techniques used in contemporary machine learning; from optimization algorithms and least-squares regression to spectral methods, kernel functions, and high-dimensional data analysis.This is an ideal textbook for advanced undergraduate and graduate students studying mathematical methods for physics and/or engineering. Readers are equipped not only a versatile toolkit of methods, but also a deeper conceptual understanding of when, where, and why each tool is appropriate - empowering them to approach problems in physics and engineering.Key features:Provides a toolkit of mathematical methodsPedagogically focused, with homework problems included with each chapterCovers exciting topics including high-dimensional data analysis and machine learningChong Qi is an Associate Professor in the Division of Nuclear Science and Engineering, Department of Physics, at the KTH Royal Institute of Technology, Stockholm. His research spans theoretical nuclear physics, many-body physics, and computational physics. He teaches courses in mathematical physics, subatomic and nuclear physics, and quantum many-body theory, and supervises students at both undergraduate and graduate levels in nuclear physics and nuclear engineering. He earned his PhD from Peking University, followed by postdoctoral research at KTH, and has since held visiting professorships at several universities around the world, including Sun Yat-sen University, where a large part of this book was written. He also serves in various editorial roles and is an honorary member of the Romanian Academy of Scientists.…

Condición: New.

Condición: New.

HRD. Condición: New. New Book. Shipped from UK. Established seller since 2000.

HRD. Condición: New. New Book. Shipped from UK. Established seller since 2000.

Condición: New. Chong Qi is an Associate Professor in the Division of Nuclear Science and Engineering, Department of Physics, at the KTH Royal Institute of Technology, Stockholm. His research spans theoretical nuclear physics, many-body physics, and computational.

Condición: New.

Condición: New.

Buch. Condición: Neu. Neuware - This book provides an accessible introduction to mathematical methods essential for physics, engineering, and modern computational analysis. Starting from foundational topics such as ordinary and partial differential equations, readers are then introduced to powerful techniques including Fourier and Laplace transforms, series expansions, matrix and eigenvalue methods, and numerical strategies such as iterative refinement.'Mathematical Methods for Physics and Engineering: Practical Applications' emphasizes intuitive understanding and real-world applications: why the Lagrangian in classical mechanics takes the form T¿V; how stability and sensitivity analysis connect to condition numbers and perturbation theory; and how matrix representations provide insight into optimisation and numerical stability.Numerical examples and step-by-step derivations encourage active problem-solving and demonstrate how abstract methods translate into practical computations. It also highlights how these mathematical tools form the foundation of many techniques used in contemporary machine learning; from optimization algorithms and least-squares regression to spectral methods, kernel functions, and high-dimensional data analysis.This is an ideal textbook for advanced undergraduate and graduate students studying mathematical methods for physics and/or engineering. Readers are equipped not only a versatile toolkit of methods, but also a deeper conceptual understanding of when, where, and why each tool is appropriate - empowering them to approach problems in physics and engineering.Key features: - Provides a toolkit of mathematical methods - Pedagogically focused, with homework problems included with each chapter - Covers exciting topics including high-dimensional data analysis and machine learning Chong Qi is an Associate Professor in the Division of Nuclear Science and Engineering, Department of Physics, at the KTH Royal Institute of Technology, Stockholm. His research spans theoretical nuclear physics, many-body physics, and computational physics. He teaches courses in mathematical physics, subatomic and nuclear physics, and quantum many-body theory, and supervises students at both undergraduate and graduate levels in nuclear physics and nuclear engineering. He earned his PhD from Peking University, followed by postdoctoral research at KTH, and has since held visiting professorships at several universities around the world, including Sun Yat-sen University, where a large part of this book was written. He also serves in various editorial roles and is an honorary member of the Romanian Academy of Scientists.…

Hardcover. Condición: Brand New. 306 pages. 9.18x6.12x10.24 inches. In Stock.

Paperback. Condición: new. Paperback. This book provides an accessible introduction to mathematical methods essential for physics, engineering, and modern computational analysis. Starting from foundational topics such as ordinary and partial differential equations, readers are then introduced to powerful techniques including Fourier and Laplace transforms, series expansions, matrix and eigenvalue methods, and numerical strategies such as iterative refinement.Mathematical Methods for Physics and Engineering: Practical Applications emphasizes intuitive understanding and real-world applications: why the Lagrangian in classical mechanics takes the form TV; how stability and sensitivity analysis connect to condition numbers and perturbation theory; and how matrix representations provide insight into optimisation and numerical stability.Numerical examples and step-by-step derivations encourage active problem-solving and demonstrate how abstract methods translate into practical computations. It also highlights how these mathematical tools form the foundation of many techniques used in contemporary machine learning; from optimization algorithms and least-squares regression to spectral methods, kernel functions, and high-dimensional data analysis.This is an ideal textbook for advanced undergraduate and graduate students studying mathematical methods for physics and/or engineering. Readers are equipped not only a versatile toolkit of methods, but also a deeper conceptual understanding of when, where, and why each tool is appropriate - empowering them to approach problems in physics and engineering.Key features:Provides a toolkit of mathematical methodsPedagogically focused, with homework problems included with each chapterCovers exciting topics including high-dimensional data analysis and machine learningChong Qi is an Associate Professor in the Division of Nuclear Science and Engineering, Department of Physics, at the KTH Royal Institute of Technology, Stockholm. His research spans theoretical nuclear physics, many-body physics, and computational physics. He teaches courses in mathematical physics, subatomic and nuclear physics, and quantum many-body theory, and supervises students at both undergraduate and graduate levels in nuclear physics and nuclear engineering. He earned his PhD from Peking University, followed by postdoctoral research at KTH, and has since held visiting professorships at several universities around the world, including Sun Yat-sen University, where a large part of this book was written. He also serves in various editorial roles and is an honorary member of the Romanian Academy of Scientists. This book provides an accessible introduction to mathematical methods essential for physics, engineering, and modern computational analysis, starting from foundational topics ending with more powerful techniques. This is an ideal textbook for advanced undergraduate and graduate students, equipping readers with a versatile toolkit of methods. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.…

Condición: New. This item is printed on demand.

Paperback. Condición: new. Paperback. This book provides an accessible introduction to mathematical methods essential for physics, engineering, and modern computational analysis. Starting from foundational topics such as ordinary and partial differential equations, readers are then introduced to powerful techniques including Fourier and Laplace transforms, series expansions, matrix and eigenvalue methods, and numerical strategies such as iterative refinement.Mathematical Methods for Physics and Engineering: Practical Applications emphasizes intuitive understanding and real-world applications: why the Lagrangian in classical mechanics takes the form TV; how stability and sensitivity analysis connect to condition numbers and perturbation theory; and how matrix representations provide insight into optimisation and numerical stability.Numerical examples and step-by-step derivations encourage active problem-solving and demonstrate how abstract methods translate into practical computations. It also highlights how these mathematical tools form the foundation of many techniques used in contemporary machine learning; from optimization algorithms and least-squares regression to spectral methods, kernel functions, and high-dimensional data analysis.This is an ideal textbook for advanced undergraduate and graduate students studying mathematical methods for physics and/or engineering. Readers are equipped not only a versatile toolkit of methods, but also a deeper conceptual understanding of when, where, and why each tool is appropriate - empowering them to approach problems in physics and engineering.Key features:Provides a toolkit of mathematical methodsPedagogically focused, with homework problems included with each chapterCovers exciting topics including high-dimensional data analysis and machine learningChong Qi is an Associate Professor in the Division of Nuclear Science and Engineering, Department of Physics, at the KTH Royal Institute of Technology, Stockholm. His research spans theoretical nuclear physics, many-body physics, and computational physics. He teaches courses in mathematical physics, subatomic and nuclear physics, and quantum many-body theory, and supervises students at both undergraduate and graduate levels in nuclear physics and nuclear engineering. He earned his PhD from Peking University, followed by postdoctoral research at KTH, and has since held visiting professorships at several universities around the world, including Sun Yat-sen University, where a large part of this book was written. He also serves in various editorial roles and is an honorary member of the Romanian Academy of Scientists. This book provides an accessible introduction to mathematical methods essential for physics, engineering, and modern computational analysis, starting from foundational topics ending with more powerful techniques. This is an ideal textbook for advanced undergraduate and graduate students, equipping readers with a versatile toolkit of methods. This item is printed on demand. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.…

Paperback. Condición: new. Paperback. This book provides an accessible introduction to mathematical methods essential for physics, engineering, and modern computational analysis. Starting from foundational topics such as ordinary and partial differential equations, readers are then introduced to powerful techniques including Fourier and Laplace transforms, series expansions, matrix and eigenvalue methods, and numerical strategies such as iterative refinement.Mathematical Methods for Physics and Engineering: Practical Applications emphasizes intuitive understanding and real-world applications: why the Lagrangian in classical mechanics takes the form TV; how stability and sensitivity analysis connect to condition numbers and perturbation theory; and how matrix representations provide insight into optimisation and numerical stability.Numerical examples and step-by-step derivations encourage active problem-solving and demonstrate how abstract methods translate into practical computations. It also highlights how these mathematical tools form the foundation of many techniques used in contemporary machine learning; from optimization algorithms and least-squares regression to spectral methods, kernel functions, and high-dimensional data analysis.This is an ideal textbook for advanced undergraduate and graduate students studying mathematical methods for physics and/or engineering. Readers are equipped not only a versatile toolkit of methods, but also a deeper conceptual understanding of when, where, and why each tool is appropriate - empowering them to approach problems in physics and engineering.Key features:Provides a toolkit of mathematical methodsPedagogically focused, with homework problems included with each chapterCovers exciting topics including high-dimensional data analysis and machine learningChong Qi is an Associate Professor in the Division of Nuclear Science and Engineering, Department of Physics, at the KTH Royal Institute of Technology, Stockholm. His research spans theoretical nuclear physics, many-body physics, and computational physics. He teaches courses in mathematical physics, subatomic and nuclear physics, and quantum many-body theory, and supervises students at both undergraduate and graduate levels in nuclear physics and nuclear engineering. He earned his PhD from Peking University, followed by postdoctoral research at KTH, and has since held visiting professorships at several universities around the world, including Sun Yat-sen University, where a large part of this book was written. He also serves in various editorial roles and is an honorary member of the Romanian Academy of Scientists. This book provides an accessible introduction to mathematical methods essential for physics, engineering, and modern computational analysis, starting from foundational topics ending with more powerful techniques. This is an ideal textbook for advanced undergraduate and graduate students, equipping readers with a versatile toolkit of methods. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.…

Hardcover. Condición: new. Hardcover. This book provides an accessible introduction to mathematical methods essential for physics, engineering, and modern computational analysis. Starting from foundational topics such as ordinary and partial differential equations, readers are then introduced to powerful techniques including Fourier and Laplace transforms, series expansions, matrix and eigenvalue methods, and numerical strategies such as iterative refinement.Mathematical Methods for Physics and Engineering: Practical Applications emphasizes intuitive understanding and real-world applications: why the Lagrangian in classical mechanics takes the form TV; how stability and sensitivity analysis connect to condition numbers and perturbation theory; and how matrix representations provide insight into optimisation and numerical stability.Numerical examples and step-by-step derivations encourage active problem-solving and demonstrate how abstract methods translate into practical computations. It also highlights how these mathematical tools form the foundation of many techniques used in contemporary machine learning; from optimization algorithms and least-squares regression to spectral methods, kernel functions, and high-dimensional data analysis.This is an ideal textbook for advanced undergraduate and graduate students studying mathematical methods for physics and/or engineering. Readers are equipped not only a versatile toolkit of methods, but also a deeper conceptual understanding of when, where, and why each tool is appropriate - empowering them to approach problems in physics and engineering.Key features:Provides a toolkit of mathematical methodsPedagogically focused, with homework problems included with each chapterCovers exciting topics including high-dimensional data analysis and machine learningChong Qi is an Associate Professor in the Division of Nuclear Science and Engineering, Department of Physics, at the KTH Royal Institute of Technology, Stockholm. His research spans theoretical nuclear physics, many-body physics, and computational physics. He teaches courses in mathematical physics, subatomic and nuclear physics, and quantum many-body theory, and supervises students at both undergraduate and graduate levels in nuclear physics and nuclear engineering. He earned his PhD from Peking University, followed by postdoctoral research at KTH, and has since held visiting professorships at several universities around the world, including Sun Yat-sen University, where a large part of this book was written. He also serves in various editorial roles and is an honorary member of the Romanian Academy of Scientists. This book provides an accessible introduction to mathematical methods essential for physics, engineering, and modern computational analysis, starting from foundational topics ending with more powerful techniques. This is an ideal textbook for advanced undergraduate and graduate students, equipping readers with a versatile toolkit of methods. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.…

Hardcover. Condición: new. Hardcover. This book provides an accessible introduction to mathematical methods essential for physics, engineering, and modern computational analysis. Starting from foundational topics such as ordinary and partial differential equations, readers are then introduced to powerful techniques including Fourier and Laplace transforms, series expansions, matrix and eigenvalue methods, and numerical strategies such as iterative refinement.Mathematical Methods for Physics and Engineering: Practical Applications emphasizes intuitive understanding and real-world applications: why the Lagrangian in classical mechanics takes the form TV; how stability and sensitivity analysis connect to condition numbers and perturbation theory; and how matrix representations provide insight into optimisation and numerical stability.Numerical examples and step-by-step derivations encourage active problem-solving and demonstrate how abstract methods translate into practical computations. It also highlights how these mathematical tools form the foundation of many techniques used in contemporary machine learning; from optimization algorithms and least-squares regression to spectral methods, kernel functions, and high-dimensional data analysis.This is an ideal textbook for advanced undergraduate and graduate students studying mathematical methods for physics and/or engineering. Readers are equipped not only a versatile toolkit of methods, but also a deeper conceptual understanding of when, where, and why each tool is appropriate - empowering them to approach problems in physics and engineering.Key features:Provides a toolkit of mathematical methodsPedagogically focused, with homework problems included with each chapterCovers exciting topics including high-dimensional data analysis and machine learningChong Qi is an Associate Professor in the Division of Nuclear Science and Engineering, Department of Physics, at the KTH Royal Institute of Technology, Stockholm. His research spans theoretical nuclear physics, many-body physics, and computational physics. He teaches courses in mathematical physics, subatomic and nuclear physics, and quantum many-body theory, and supervises students at both undergraduate and graduate levels in nuclear physics and nuclear engineering. He earned his PhD from Peking University, followed by postdoctoral research at KTH, and has since held visiting professorships at several universities around the world, including Sun Yat-sen University, where a large part of this book was written. He also serves in various editorial roles and is an honorary member of the Romanian Academy of Scientists. This book provides an accessible introduction to mathematical methods essential for physics, engineering, and modern computational analysis, starting from foundational topics ending with more powerful techniques. This is an ideal textbook for advanced undergraduate and graduate students, equipping readers with a versatile toolkit of methods. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.…

Hardcover. Condición: new. Hardcover. This book provides an accessible introduction to mathematical methods essential for physics, engineering, and modern computational analysis. Starting from foundational topics such as ordinary and partial differential equations, readers are then introduced to powerful techniques including Fourier and Laplace transforms, series expansions, matrix and eigenvalue methods, and numerical strategies such as iterative refinement.Mathematical Methods for Physics and Engineering: Practical Applications emphasizes intuitive understanding and real-world applications: why the Lagrangian in classical mechanics takes the form TV; how stability and sensitivity analysis connect to condition numbers and perturbation theory; and how matrix representations provide insight into optimisation and numerical stability.Numerical examples and step-by-step derivations encourage active problem-solving and demonstrate how abstract methods translate into practical computations. It also highlights how these mathematical tools form the foundation of many techniques used in contemporary machine learning; from optimization algorithms and least-squares regression to spectral methods, kernel functions, and high-dimensional data analysis.This is an ideal textbook for advanced undergraduate and graduate students studying mathematical methods for physics and/or engineering. Readers are equipped not only a versatile toolkit of methods, but also a deeper conceptual understanding of when, where, and why each tool is appropriate - empowering them to approach problems in physics and engineering.Key features:Provides a toolkit of mathematical methodsPedagogically focused, with homework problems included with each chapterCovers exciting topics including high-dimensional data analysis and machine learningChong Qi is an Associate Professor in the Division of Nuclear Science and Engineering, Department of Physics, at the KTH Royal Institute of Technology, Stockholm. His research spans theoretical nuclear physics, many-body physics, and computational physics. He teaches courses in mathematical physics, subatomic and nuclear physics, and quantum many-body theory, and supervises students at both undergraduate and graduate levels in nuclear physics and nuclear engineering. He earned his PhD from Peking University, followed by postdoctoral research at KTH, and has since held visiting professorships at several universities around the world, including Sun Yat-sen University, where a large part of this book was written. He also serves in various editorial roles and is an honorary member of the Romanian Academy of Scientists. This book provides an accessible introduction to mathematical methods essential for physics, engineering, and modern computational analysis, starting from foundational topics ending with more powerful techniques. This is an ideal textbook for advanced undergraduate and graduate students, equipping readers with a versatile toolkit of methods. This item is printed on demand. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.…