Advanced linear algebra with applications / / Mohammad Ashraf, Vincenzo De Filippis, Mohammad Aslam Siddeeque
| Advanced linear algebra with applications / / Mohammad Ashraf, Vincenzo De Filippis, Mohammad Aslam Siddeeque |
| Autore | Ashraf Mohammad <1959-> |
| Pubbl/distr/stampa | Singapore : , : Springer Nature Singapore Pte Ltd., , [2022] |
| Descrizione fisica | 1 online resource (504 pages) |
| Disciplina | 512.5 |
| Soggetto topico |
Algebras, Linear
Àlgebra lineal |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
981-16-2166-7
981-16-2167-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996549467103316 |
Ashraf Mohammad <1959->
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| Singapore : , : Springer Nature Singapore Pte Ltd., , [2022] | ||
| Lo trovi qui: Univ. di Salerno | ||
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Advanced Linear Algebra with Applications / / by Mohammad Ashraf, Vincenzo De Filippis, Mohammad Aslam Siddeeque
| Advanced Linear Algebra with Applications / / by Mohammad Ashraf, Vincenzo De Filippis, Mohammad Aslam Siddeeque |
| Autore | Ashraf Mohammad <1959-> |
| Edizione | [1st ed. 2022.] |
| Pubbl/distr/stampa | Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2022 |
| Descrizione fisica | 1 online resource (504 pages) |
| Disciplina | 512.5 |
| Collana | Mathematics and Statistics Series |
| Soggetto topico |
Algebras, Linear
Linear Algebra Àlgebra lineal |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9789811621666
9811621667 9789811621673 9811621675 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Algebraic Structures -- Matrices and Systems of Linear Equations -- Vector Spaces -- Linear Transformations -- Dual Spaces -- Inner Product Spaces -- Canonical Forms of an Operator -- Bilinear and Quadratic Forms -- Sesquilinear and Hermitian Forms -- Applications of Linear Algebra to Numerical Methods -- Affine and Euclidean Spaces and the Applications of Linear Algebra to Geometry -- Ordinary differential equations and linear systems of ordinary differential equations. . |
| Record Nr. | UNINA-9910743231903321 |
Ashraf Mohammad <1959->
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| Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2022 | ||
| Lo trovi qui: Univ. Federico II | ||
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Advanced linear and matrix algebra / / Nathaniel Johnston
| Advanced linear and matrix algebra / / Nathaniel Johnston |
| Autore | Johnston Nathaniel |
| Edizione | [1st ed. 2021.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (XVI, 494 p. 123 illus., 108 illus. in color.) |
| Disciplina | 512.5 |
| Soggetto topico |
Algebras, Linear
Matrices Àlgebra lineal Matrius (Matemàtica) Algebra |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-52815-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Chapter 1: Vector Spaces -- Chapter 2: Matrix Decompositions -- Chapter 3: Tensors and Multilinearity -- Appendix A: Mathematical Preliminaries -- Appendix B: Additional Proofs -- Appendix C: Selected Exercise Solutions. |
| Record Nr. | UNISA-996466403803316 |
Johnston Nathaniel
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| Cham, Switzerland : , : Springer, , [2021] | ||
| Lo trovi qui: Univ. di Salerno | ||
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Advanced linear and matrix algebra / / Nathaniel Johnston
| Advanced linear and matrix algebra / / Nathaniel Johnston |
| Autore | Johnston Nathaniel |
| Edizione | [1st ed. 2021.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (XVI, 494 p. 123 illus., 108 illus. in color.) |
| Disciplina | 512.5 |
| Soggetto topico |
Algebras, Linear
Matrices Àlgebra lineal Matrius (Matemàtica) Algebra |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-52815-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Chapter 1: Vector Spaces -- Chapter 2: Matrix Decompositions -- Chapter 3: Tensors and Multilinearity -- Appendix A: Mathematical Preliminaries -- Appendix B: Additional Proofs -- Appendix C: Selected Exercise Solutions. |
| Record Nr. | UNINA-9910483059803321 |
Johnston Nathaniel
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| Cham, Switzerland : , : Springer, , [2021] | ||
| Lo trovi qui: Univ. Federico II | ||
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Application-inspired linear algebra / / Heather A. Moon, Thomas J. Asaki, Marie A. Snipes
| Application-inspired linear algebra / / Heather A. Moon, Thomas J. Asaki, Marie A. Snipes |
| Autore | Moon Heather A. |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (538 pages) |
| Disciplina | 512.5 |
| Collana | Springer Undergraduate Texts in Mathematics and Technology |
| Soggetto topico |
Algebras, Linear
Àlgebra lineal |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-86155-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Outline of Text -- Using This Text -- Exercises -- Computational Tools -- Ancillary Materials -- Acknowledgements -- Contents -- About the Authors -- Introduction To Applications -- 1.1 A Sample of Linear Algebra in Our World -- 1.1.1 Modeling Dynamical Processes -- 1.1.2 Signals and Data Analysis -- 1.1.3 Optimal Design and Decision-Making -- 1.2 Applications We Use to Build Linear Algebra Tools -- 1.2.1 CAT Scans -- 1.2.2 Diffusion Welding -- 1.2.3 Image Warping -- 1.3 Advice to Students -- 1.4 The Language of Linear Algebra -- 1.5 Rules of the Game -- 1.6 Software Tools -- 1.7 Exercises -- Vector Spaces -- 2.1 Exploration: Digital Images -- 2.1.1 Exercises -- 2.2 Systems of Equations -- 2.2.1 Systems of Equations -- 2.2.2 Techniques for Solving Systems of Linear Equations -- 2.2.3 Elementary Matrix -- 2.2.4 The Geometry of Systems of Equations -- 2.2.5 Exercises -- 2.3 Vector Spaces -- 2.3.1 Images and Image Arithmetic -- 2.3.2 Vectors and Vector Spaces -- 2.3.3 The Geometry of the Vector Space mathbbR3 -- 2.3.4 Properties of Vector Spaces -- 2.3.5 Exercises -- 2.4 Vector Space Examples -- 2.4.1 Diffusion Welding and Heat States -- 2.4.2 Function Spaces -- 2.4.3 Matrix Spaces -- 2.4.4 Solution Spaces -- 2.4.5 Other Vector Spaces -- 2.4.6 Is My Set a Vector Space? -- 2.4.7 Exercises -- 2.5 Subspaces -- 2.5.1 Subsets and Subspaces -- 2.5.2 Examples of Subspaces -- 2.5.3 Subspaces of mathbbRn -- 2.5.4 Building New Subspaces -- 2.5.5 Exercises -- Vector Space Arithmetic and Representations -- 3.1 Linear Combinations -- 3.1.1 Linear Combinations -- 3.1.2 Matrix Products -- 3.1.3 The Matrix Equation Ax=b -- 3.1.4 The Matrix Equation Ax=0 -- 3.1.5 The Principle of Superposition -- 3.1.6 Exercises -- 3.2 Span -- 3.2.1 The Span of a Set of Vectors -- 3.2.2 To Span a Set of Vectors -- 3.2.3 Span X is a Vector Space.
3.2.4 Exercises -- 3.3 Linear Dependence and Independence -- 3.3.1 Linear Dependence and Independence -- 3.3.2 Determining Linear (In)dependence -- 3.3.3 Summary of Linear Dependence -- 3.3.4 Exercises -- 3.4 Basis and Dimension -- 3.4.1 Efficient Heat State Descriptions -- 3.4.2 Basis -- 3.4.3 Constructing a Basis -- 3.4.4 Dimension -- 3.4.5 Properties of Bases -- 3.4.6 Exercises -- 3.5 Coordinate Spaces -- 3.5.1 Cataloging Heat States -- 3.5.2 Coordinates in mathbbRn -- 3.5.3 Example Coordinates of Abstract Vectors -- 3.5.4 Brain Scan Images and Coordinates -- 3.5.5 Exercises -- Linear Transformations -- 4.1 Explorations: Computing Radiographs and the Radiographic Transformation -- 4.1.1 Radiography on Slices -- 4.1.2 Radiographic Scenarios and Notation -- 4.1.3 A First Example -- 4.1.4 Radiographic Setup Example -- 4.1.5 Exercises -- 4.2 Transformations -- 4.2.1 Transformations are Functions -- 4.2.2 Linear Transformations -- 4.2.3 Properties of Linear Transformations -- 4.2.4 Exercises -- 4.3 Explorations: Heat Diffusion -- 4.3.1 Heat States as Vectors -- 4.3.2 Heat Evolution Equation -- 4.3.3 Exercises -- 4.3.4 Extending the Exploration: Application to Image Warping -- 4.4 Matrix Representations of Linear Transformations -- 4.4.1 Matrix Transformations between Euclidean Spaces -- 4.4.2 Matrix Transformations -- 4.4.3 Change of Basis Matrix -- 4.4.4 Exercises -- 4.5 The Determinants of a Matrix -- 4.5.1 Determinant Calculations and Algebraic Properties -- 4.6 Explorations: Re-Evaluating Our Tomographic Goal -- 4.6.1 Seeking Tomographic Transformations -- 4.6.2 Exercises -- 4.7 Properties of Linear Transformations -- 4.7.1 One-To-One Transformations -- 4.7.2 Properties of One-To-One Linear Transformations -- 4.7.3 Onto Linear Transformations -- 4.7.4 Properties of Onto Linear Transformations -- 4.7.5 Summary of Properties. 4.7.6 Bijections and Isomorphisms -- 4.7.7 Properties of Isomorphic Vector Spaces -- 4.7.8 Building and Recognizing Isomorphisms -- 4.7.9 Inverse Transformations -- 4.7.10 Left Inverse Transformations -- 4.7.11 Exercises -- Invertibility -- 5.1 Transformation Spaces -- 5.1.1 The Nullspace -- 5.1.2 Domain and Range Spaces -- 5.1.3 One-to-One and Onto Revisited -- 5.1.4 The Rank-Nullity Theorem -- 5.1.5 Exercises -- 5.2 Matrix Spaces and the Invertible Matrix Theorem -- 5.2.1 Matrix Spaces -- 5.2.2 The Invertible Matrix Theorem -- 5.2.3 Exercises -- 5.3 Exploration: Reconstruction Without an Inverse -- 5.3.1 Transpose of a Matrix -- 5.3.2 Invertible Transformation -- 5.3.3 Application to a Small Example -- 5.3.4 Application to Brain Reconstruction -- Diagonalization -- 6.1 Exploration: Heat State Evolution -- 6.2 Eigenspaces and Diagonalizable Transformations -- 6.2.1 Eigenvectors and Eigenvalues -- 6.2.2 Computing Eigenvalues and Finding Eigenvectors -- 6.2.3 Using Determinants to Find Eigenvalues -- 6.2.4 Eigenbases -- 6.2.5 Diagonalizable Transformations -- 6.2.6 Exercises -- 6.3 Explorations: Long-Term Behavior and Diffusion Welding Process Termination Criterion -- 6.3.1 Long-Term Behavior in Dynamical Systems -- 6.3.2 Using MATLAB/OCTAVE to Calculate Eigenvalues and Eigenvectors -- 6.3.3 Termination Criterion -- 6.3.4 Reconstruct Heat State at Removal -- 6.4 Markov Processes and Long-Term Behavior -- 6.4.1 Matrix Convergence -- 6.4.2 Long-Term Behavior -- 6.4.3 Markov Processes -- 6.4.4 Exercises -- Inner Product Spaces and Pseudo-Invertibility -- 7.1 Inner Products, Norms, and Coordinates -- 7.1.1 Inner Product -- 7.1.2 Vector Norm -- 7.1.3 Properties of Inner Product Spaces -- 7.1.4 Orthogonality -- 7.1.5 Inner Product and Coordinates -- 7.1.6 Exercises -- 7.2 Projections -- 7.2.1 Coordinate Projection -- 7.2.2 Orthogonal Projection. 7.2.3 Gram-Schmidt Process -- 7.2.4 Exercises -- 7.3 Orthogonal Transformations -- 7.3.1 Orthogonal Matrices -- 7.3.2 Orthogonal Diagonalization -- 7.3.3 Completing the Invertible Matrix Theorem -- 7.3.4 Symmetric Diffusion Transformation -- 7.3.5 Exercises -- 7.4 Exploration: Pseudo-Inverting the Non-invertible -- 7.4.1 Maximal Isomorphism Theorem -- 7.4.2 Exploring the Nature of the Data Compression Transformation -- 7.4.3 Additional Exercises -- 7.5 Singular Value Decomposition -- 7.5.1 The Singular Value Decomposition -- 7.5.2 Computing the Pseudo-Inverse -- 7.5.3 Exercises -- 7.6 Explorations: Pseudo-Inverse Tomographic Reconstruction -- 7.6.1 The First Pseudo-Inverse Brain Reconstructions -- 7.6.2 Understanding the Effects of Noise. -- 7.6.3 A Better Pseudo-Inverse Reconstruction -- 7.6.4 Using Object-Prior Information -- 7.6.5 Additional Exercises -- Conclusions -- 8.1 Radiography and Tomography Example -- 8.2 Diffusion -- 8.3 Your Next Mathematical Steps -- 8.3.1 Modeling Dynamical Processes -- 8.3.2 Signals and Data Analysis -- 8.3.3 Optimal Design and Decision Making -- 8.4 How to move forward -- 8.5 Final Words -- A Transmission Radiography and Tomography: A Simplified Overview -- A.1 What is Radiography? -- A.2 The Incident X-ray Beam -- A.3 X-Ray Beam Attenuation -- A.4 Radiographic Energy Detection -- A.5 The Radiographic Transformation Operator -- A.6 Multiple Views and Axial Tomography -- A.7 Model Summary -- A.8 Model Assumptions -- A.9 Additional Resources -- B The Diffusion Equation -- C Proof Techniques -- C.1 Logic -- C.2 Proof structure -- C.3 Direct Proof -- C.4 Contrapositive -- C.5 Proof by Contradiction -- C.6 Disproofs and Counterexamples -- C.7 The Principle of Mathematical Induction -- C.8 Etiquette -- D Fields -- D.1 Exercises. |
| Record Nr. | UNISA-996479369703316 |
Moon Heather A.
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| Cham, Switzerland : , : Springer, , [2022] | ||
| Lo trovi qui: Univ. di Salerno | ||
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Application-Inspired Linear Algebra / / by Heather A. Moon, Thomas J. Asaki, Marie A. Snipes
| Application-Inspired Linear Algebra / / by Heather A. Moon, Thomas J. Asaki, Marie A. Snipes |
| Autore | Moon Heather A. |
| Edizione | [1st ed. 2022.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 |
| Descrizione fisica | 1 online resource (538 pages) |
| Disciplina | 512.5 |
| Collana | Springer Undergraduate Texts in Mathematics and Technology |
| Soggetto topico |
Algebras, Linear
Mathematics Linear Algebra Applications of Mathematics Àlgebra lineal |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-86155-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 Introduction -- 2 Vector Spaces -- 3 Vector Space Arithmetic and Representations -- 4 Linear Transformations -- 5 Invertibility -- 6 Diagonalization -- 7 Inner Product Spaces and Pseudo-Invertibility -- 8 Conclusions -- A Radiography and Tomography -- B The Diffusion Equation -- C Proof Techniques -- D Fields. |
| Record Nr. | UNINA-9910574049803321 |
Moon Heather A.
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 | ||
| Lo trovi qui: Univ. Federico II | ||
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Applied Linear Algebra and Matrix Methods / / by Timothy G. Feeman
| Applied Linear Algebra and Matrix Methods / / by Timothy G. Feeman |
| Autore | Feeman Timothy G |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Springer Nature, 2023 |
| Descrizione fisica | 1 online resource (330 pages) |
| Disciplina | 512.5 |
| Collana | Springer Undergraduate Texts in Mathematics and Technology |
| Soggetto topico |
Algebras, Linear
Linear Algebra Àlgebra lineal |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-39562-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- 1. Vectors -- 2. Matrices -- 3. Matrix Contexts -- 4. Linear Systems -- 5. Least Squares and Matrix Geometry. 6. Orthogonal Systems -- 7. Eigenvalues -- 8. Markov Processes -- 9. Symmetric Matrices -- 10. Singular Value Decomposition -- 11. Function Spaces.-Bibliography.-Index. |
| Record Nr. | UNINA-9910766887703321 |
Feeman Timothy G
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| Springer Nature, 2023 | ||
| Lo trovi qui: Univ. Federico II | ||
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Applied Linear Algebra, Probability and Statistics : A Volume in Honour of C. R. Rao and Arbind K. Lal / / edited by Ravindra B. Bapat, Manjunatha Prasad Karantha, Stephen J. Kirkland, Samir Kumar Neogy, Sukanta Pati, Simo Puntanen
| Applied Linear Algebra, Probability and Statistics : A Volume in Honour of C. R. Rao and Arbind K. Lal / / edited by Ravindra B. Bapat, Manjunatha Prasad Karantha, Stephen J. Kirkland, Samir Kumar Neogy, Sukanta Pati, Simo Puntanen |
| Autore | Bapat R. B |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2023 |
| Descrizione fisica | 1 online resource (540 pages) |
| Disciplina | 512.5 |
| Altri autori (Persone) |
KaranthaManjunatha Prasad
KirklandStephen J NeogySamir Kumar PatiSukanta PuntanenSimo |
| Collana | Indian Statistical Institute Series |
| Soggetto topico |
Algebras, Linear
Probabilities Statistics Graph theory Stochastic processes Game theory Linear Algebra Probability Theory Statistical Theory and Methods Graph Theory Stochastic Processes Game Theory Àlgebra lineal Probabilitats Estadística |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9789819923106
9819923107 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Chapter 1. On Some Matrix Versions of Covariance, Harmonic Mean and other Inequalities: An Overview -- Chapter 2. The Impact of Professor C. R. Rao's Research used in solving problems in Applied Probability -- Chapter 3. Upper ounds for the Euclidean distances between the BLUEs under the partitioned linear fixed model and the corresponding mixed model -- Chapter 4. Nucleolus Computation for some Structured TU Games via Graph Theory and Linear Algebra -- Chapter 5. From Linear System of Equations to Artificial Intelligence - The evolution Journey of Computer Tomographic Image Reconstruction Algorithms -- Chapter 6. Shapley Value and other Axiomatic Extensions to Shapley Value -- Chapter 7. An Accelerated Block Randomized Kaczmarz Methos -- Chapter 8. Nullity of Graphs - A Survey and Some New Results -- Chapter 9. Some Observations on Algebraic Connectivity of Graphs -- Chapter 10. Orthogonality for iadjoints f Operators -- Chapter 11. Permissible covariance structures for simultaneous retention of BLUEs in small and big linear models -- Chapter 12. On some Special Matrices and its Applications in Linear Complementarity Problem -- Chapter 3. On Nearest Matrix with Partially Specified Eigen Structure -- Chapter 14. Equality of BLUEs for Full, Small, and Intermediate Linear Models under Covariance Change, with links to Data Confidentiality and Encryption.-Chapter 15. Statistical Inference for Middle Censored Data with Applications. etc. |
| Record Nr. | UNINA-9910736008903321 |
Bapat R. B
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| Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2023 | ||
| Lo trovi qui: Univ. Federico II | ||
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Bilinear Maps and Tensor Products in Operator Theory / / by Carlos S. Kubrusly
| Bilinear Maps and Tensor Products in Operator Theory / / by Carlos S. Kubrusly |
| Autore | Kubrusly Carlos S |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 |
| Descrizione fisica | 1 online resource (263 pages) |
| Disciplina | 515.724 |
| Collana | Universitext |
| Soggetto topico |
Functional analysis
Operator theory Functional Analysis Operator Theory Teoria d'operadors Productes tensorials Àlgebra lineal |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-34093-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- 1. Linear-Space Results -- 2. Bilinear Maps: Algebraic Aspects -- 3. Algebraic Tensor Product -- 4. Interpretations -- 5. Normed-Space Results -- 6. Bounded Bilinear Maps -- 7. Norms on Tensor Products -- 8. Operator Norms -- 9. Tensor Product Operators -- References -- List of Symbols -- Index. |
| Record Nr. | UNINA-9910763598603321 |
Kubrusly Carlos S
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 | ||
| Lo trovi qui: Univ. Federico II | ||
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Calculus and Linear Algebra : Fundamentals and Applications / / by Aldo G. S. Ventre
| Calculus and Linear Algebra : Fundamentals and Applications / / by Aldo G. S. Ventre |
| Autore | Ventre Aldo G. S. |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 |
| Descrizione fisica | 1 online resource (530 pages) |
| Disciplina |
512.5
515 |
| Soggetto topico |
Engineering mathematics
Algebras, Linear Mathematics Engineering Mathematics Linear Algebra Applications of Mathematics Càlcul Àlgebra lineal |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 9783031205491 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Language Sets -- Numbers and propositions -- Relations -- Euclidean geometry -- Functions -- The real line -- Real-valued functions of a real variable. The line. |
| Record Nr. | UNINA-9910659487403321 |
Ventre Aldo G. S.
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 | ||
| Lo trovi qui: Univ. Federico II | ||
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