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1 Kantorovich, Lev Mathematics for Natural Scientists II I12997 2024 eBook  
2 Kantorovich, Lev Mathematics for Natural Scientists I12528 2022 Book  
3 Kantorovich, Lev Mathematics for Natural Scientists II I10062 2016 eBook  
4 Kantorovich, Lev Mathematics for Natural Scientists I09133 2016 eBook  
5 Kantorovich, Lev Quantum Theory of the Solid State I10505 2004 eBook  
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1.    
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TitleMathematics for Natural Scientists II : Advanced Methods
Author(s)Kantorovich, Lev
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2024.
DescriptionXXVII, 922 p. 127 illus., 121 illus. in color : online resource
Abstract NoteThis textbook, the second in a series (the first covered fundamentals and basics), seeks to make its material accessible to physics students. Physics/engineering can be greatly enhanced by knowledge of advanced mathematical techniques, but the math-specific jargon and laborious proofs can be off-putting to students not well versed in abstract math. This book uses examples and proofs designed to be clear and convincing from the context of physics, as well as providing a large number of both solved and unsolved problems in each chapter. This is the second edition, and it has been significantly revised and enlarged, with Chapters 1 (on linear algebra) and 2 (on the calculus of complex numbers and functions) having been particularly expanded. The enhanced topics throughout the book include: vector spaces, general (non-Hermitian, including normal and defective) matrices and their right/left eigenvectors/values, Jordan form, pseudoinverse, linear systems of differential equations, Gaussian elimination, fundamental theorem of algebra, convergence of a Fourie series and Gibbs-Wilbraham phenomenon, careful derivation of the Fourier integral and of the inverse Laplace transform. New material has been added on many physics topics meant to illustrate the maths, such as 3D rotation, properties of the free electron gas, van Hove singularities, and methods for both solving PDEs with a Fourier transform and calculating the width of a domain wall in a ferromagnet, to mention just a few. This textbook should prove invaluable to all of those with an interest in physics/engineering who have previously experienced difficulty processing the math involved.
ISBN,Price9783031463204
Keyword(s)1. Chemometrics 2. EBOOK 3. EBOOK - SPRINGER 4. ENGINEERING 5. ENGINEERING MATHEMATICS 6. Mathematical and Computational Engineering Applications 7. Mathematical Applications in Chemistry 8. Mathematical Methods in Physics 9. MATHEMATICAL PHYSICS 10. Theoretical, Mathematical and Computational Physics
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I12997     On Shelf    

2.     
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TitleMathematics for Natural Scientists : Fundamentals and Basics
Author(s)Kantorovich, Lev
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2022.
DescriptionXXIII, 768 p. 189 illus., 163 illus. in color : online resource
Abstract NoteThis book, now in a second revised and enlarged edition, covers a course of mathematics designed primarily for physics and engineering students. It includes all the essential material on mathematical methods, presented in a form accessible to physics students and avoiding unnecessary mathematical jargon and proofs that are comprehensible only to mathematicians. Instead, all proofs are given in a form that is clear and sufficiently convincing for a physicist. Examples, where appropriate, are given from physics contexts. Both solved and unsolved problems are provided in each section of the book. The second edition includes more on advanced algebra, polynomials and algebraic equations in significantly extended first two chapters on elementary mathematics, numerical and functional series and ordinary differential equations. Improvements have been made in all other chapters, with inclusion of additional material, to make the presentation clearer, more rigorous and coherent, and the number of problems has been increased at least twofold. Mathematics for Natural Scientists: Fundamentals and Basics is the first of two volumes. Advanced topics and their applications in physics are covered in the second volume the second edition of which the author is currently being working on
ISBN,Price9783030912222
Keyword(s)1. Applications of Mathematics 2. Chemometrics 3. Diseases 4. EBOOK 5. EBOOK - SPRINGER 6. ENGINEERING MATHEMATICS 7. Engineering???Data processing 8. Mathematical and Computational Engineering Applications 9. Mathematical Applications in Chemistry 10. Mathematical Methods in Physics 11. MATHEMATICAL PHYSICS 12. MATHEMATICS 13. Theoretical, Mathematical and Computational Physics
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I12528     On Shelf    

3.     
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TitleMathematics for Natural Scientists II : Advanced Methods
Author(s)Kantorovich, Lev
PublicationCham, Springer International Publishing, 2016.
DescriptionXVII, 675 p. 107 illus., 104 illus. in color : online resource
Abstract NoteThis book covers the advanced mathematical techniques useful for physics and engineering students, presented in a form accessible to physics students, avoiding precise mathematical jargon and laborious proofs. Instead, all proofs are given in a simplified form that is clear and convincing for a physicist. Examples, where appropriate, are given from physics contexts. Both solved and unsolved problems are provided in each chapter. Mathematics for Natural Scientists II: Advanced Methods is the second of two volumes. It follows the first volume on Fundamentals and Basics
ISBN,Price9783319278612
Keyword(s)1. APPLIED MATHEMATICS 2. Chemometrics 3. EBOOK 4. EBOOK - SPRINGER 5. ENGINEERING MATHEMATICS 6. Math. Applications in Chemistry 7. Mathematical and Computational Engineering 8. Mathematical Applications in the Physical Sciences 9. Mathematical Methods in Physics 10. MATHEMATICAL PHYSICS 11. Numerical and Computational Physics, Simulation 12. PHYSICS
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I10062     On Shelf    

4.     
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TitleMathematics for Natural Scientists : Fundamentals and Basics
Author(s)Kantorovich, Lev
PublicationNew York, NY, Springer New York, 2016.
DescriptionXVII, 526 p. 124 illus., 118 illus. in color : online resource
Abstract NoteThis book, the first in a two part series, covers a course of mathematics tailored specifically for physics, engineering and chemistry students at the undergraduate level. It is unique in that it begins with logical concepts of mathematics first encountered at A-level and covers them in thorough detail, filling in the gaps in students' knowledge and reasoning. Then the book aids the leap between A-level and university-level mathematics, with complete proofs provided throughout and all complex mathematical concepts and techniques presented in a clear and transparent manner. Numerous examples and problems (with answers) are given for each section and, where appropriate, mathematical concepts are illustrated in a physics context. This text gives an invaluable foundation to students and a comprehensive aid to lecturers. Mathematics for Natural Scientists: Fundamentals and Basics is the first of two volumes. Advanced topics and their applications in physics are covered in the second volume
ISBN,Price9781493927852
Keyword(s)1. APPLIED MATHEMATICS 2. Chemometrics 3. EBOOK 4. EBOOK - SPRINGER 5. ENGINEERING MATHEMATICS 6. Math. Applications in Chemistry 7. Mathematical and Computational Engineering 8. Mathematical Applications in the Physical Sciences 9. Mathematical Methods in Physics 10. MATHEMATICAL PHYSICS 11. Numerical and Computational Physics, Simulation 12. PHYSICS
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I09133     On Shelf    

5.    
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TitleQuantum Theory of the Solid State : An Introduction
Author(s)Kantorovich, Lev
PublicationDordrecht, Springer Netherlands, 2004.
DescriptionXXVI, 626 p : online resource
Abstract Note"Quantum Physics of the Solid State: an Introduction" Draft foreword: 26/09/03 If only this book had been available when I was starting out in science! It would have saved me countless hours of struggle in trying to apply the general ideas of the standard solid-state text-books to solve real problems. The fact is that most of the texts stop at the point where the real difficulties begin. The great merit of this book is that it describes in an honest and detailed way what one really has to do in order to understand the multifarious properties of solids in terms of the fundamental physical theory of quantum mechanics. University students of the physical sciences are taught about the fundamental the?? ories, and know that quantum mechanics, together with relativity, is our basis for understanding the physical world. But the practical difficulties of using quantum mechanics to do anything useful are usually not very well explained. The truth is that the application of quantum theory to achieve our present detailed understand?? ing of solids has required the development of a large array of mathematical tech?? niques. This is closely analogous to the challenge faced long ago by theoretical astronomers in trying to apply Newton's equations of motion to the heavens -they too had to develop a battery of theoretical and computational techniques to do cal?? culations that could be compared with observation
ISBN,Price9781402021541
Keyword(s)1. Characterization and Evaluation of Materials 2. COMPLEX SYSTEMS 3. CONDENSED MATTER 4. CONDENSED MATTER PHYSICS 5. DYNAMICAL SYSTEMS 6. EBOOK 7. EBOOK - SPRINGER 8. MATERIALS SCIENCE 9. MATHEMATICAL PHYSICS 10. PHYSICAL CHEMISTRY 11. STATISTICAL PHYSICS 12. Statistical Physics and Dynamical Systems 13. Theoretical, Mathematical and Computational Physics
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I10505     On Shelf    

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