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1 Cicogna, Giampaolo Exercises and Problems in Mathematical Methods of Physics I09803 2018 eBook  
2 Kemppainen, Antti Schramm???Loewner Evolution I09669 2017 eBook  
3 Nahin, Paul J Inside Interesting Integrals I09510 2020 eBook  
4 Cicogna, Giampaolo Exercises and Problems in Mathematical Methods of Physics I08828 2020 eBook  
5 Munteanu, Gheorghe Complex Spaces in Finsler, Lagrange and Hamilton Geometries I10677 2004 eBook  
6 Gogolin, A. O Lectures on Complex Integration I08010 2014 eBook  
7 Cicogna, Giampaolo Metodi matematici della Fisica I07356 2015 eBook  
8 Cicogna, Giampaolo Metodi matematici della Fisica I06219 2008 eBook  
9 Doktorov, Evgeny V A Dressing Method in Mathematical Physics I05617 2007 eBook  
10 B??lair, Jacques Fractal Geometry and Analysis I04505 1991 eBook  
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TitleExercises and Problems in Mathematical Methods of Physics
Author(s)Cicogna, Giampaolo
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2018.
DescriptionX, 182 p. 8 illus : online resource
Abstract NoteThis book presents exercises and problems in the mathematical methods of physics with the aim of offering undergraduate students an alternative way to explore and fully understand the mathematical notions on which modern physics is based. The exercises and problems are proposed not in a random order but rather in a sequence that maximizes their educational value. Each section and subsection starts with exercises based on first definitions, followed by groups of problems devoted to intermediate and, subsequently, more elaborate situations. Some of the problems are unavoidably "routine", but others bring to the forenontrivial properties that are often omitted or barely mentioned in textbooks. There are also problems where the reader is guided to obtain important results that are usually stated in textbooks without complete proofs. In all, some 350 solved problems covering all mathematical notions useful to physics are included. While the book is intended primarily for undergraduate students of physics, students of mathematics, chemistry, and engineering, as well as their teachers, will also find it of value.
ISBN,Price9783319761657
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. FOURIER ANALYSIS 4. Functions of a Complex Variable 5. FUNCTIONS OF COMPLEX VARIABLES 6. GROUP THEORY 7. Group Theory and Generalizations 8. INTEGRAL TRANSFORMS 9. Integral Transforms, Operational Calculus 10. Mathematical Methods in Physics 11. Operational calculus 12. OPERATOR THEORY 13. PHYSICS
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TitleSchramm???Loewner Evolution
Author(s)Kemppainen, Antti
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2017.
DescriptionIX, 145 p. 25 illus., 10 illus. in color : online resource
Abstract NoteThis book is a short, but complete, introduction to the Loewner equation and the SLEs, which are a family of random fractal curves, as well as the relevant background in probability and complex analysis. The connection to statistical physics is also developed in the text in an example case.??The book is based on a course (with the same title) lectured by the author.??First three chapters are devoted to the background material, but at the same time, give the reader a good understanding on the overview on the subject and on some aspects of conformal invariance. The chapter on the Loewner equation develops in detail the connection of growing hulls and the differential equation satisfied by families of conformal maps. The Schramm???Loewner evolutions are defined and their basic properties are studied in the following chapter, and the regularity properties of random curves as well as scaling limits of discrete random curves are investigated in the final chapter. The book is aimed at graduate students or researchers who want to learn the subject fairly quickly
ISBN,Price9783319653297
Keyword(s)1. COMPLEX SYSTEMS 2. DYNAMICAL SYSTEMS 3. EBOOK 4. EBOOK - SPRINGER 5. FUNCTIONS OF COMPLEX VARIABLES 6. Mathematical Methods in Physics 7. MATHEMATICAL PHYSICS 8. PHYSICS 9. PROBABILITIES 10. Probability Theory and Stochastic Processes 11. Several Complex Variables and Analytic Spaces 12. STATISTICAL PHYSICS 13. Statistical Physics and Dynamical Systems
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TitleInside Interesting Integrals : A Collection of Sneaky Tricks, Sly Substitutions, and Numerous Other Stupendously Clever, Awesomely Wicked, and Devilishly Seductive Maneuvers for Computing Hundreds of Perplexing Definite Integrals From Physics, Engineering, and Mathematics (Plus Numerous Challenge Problems with Complete, Detailed Solutions)
Author(s)Nahin, Paul J
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2020.
DescriptionXLVII, 503 p. 48 illus : online resource
Abstract NoteWhat???s the point of calculating definite integrals since you can???t possibly do them all? What makes doing the specific integrals in this book of value aren???t the specific answers we???ll obtain, but rather the methods we???ll use in obtaining those answers; methods you can use for evaluating the integrals you will encounter in the future. This book, now in its second edition, is written in a light-hearted manner for students who have completed the first year of college or high school AP calculus and have just a bit of exposure to the concept of a differential equation. Every result is fully derived. If you are fascinated by definite integrals, then this is a book for you. New material in the second edition includes 25 new challenge problems and solutions, 25 new worked examples, simplified derivations, and additional historical discussion.
ISBN,Price9783030437886
Keyword(s)1. APPLIED MATHEMATICS 2. EBOOK 3. EBOOK - SPRINGER 4. ENGINEERING MATHEMATICS 5. Functions of a Complex Variable 6. FUNCTIONS OF COMPLEX VARIABLES 7. FUNCTIONS OF REAL VARIABLES 8. Mathematical and Computational Engineering 9. Mathematical Methods in Physics 10. PHYSICS 11. REAL FUNCTIONS 12. Sequences (Mathematics) 13. Sequences, Series, Summability
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TitleExercises and Problems in Mathematical Methods of Physics
Author(s)Cicogna, Giampaolo
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2020.
DescriptionXII, 218 p. 9 illus : online resource
Abstract NoteThis book is the second edition, whose original mission was to offer a new approach for students wishing to better understand the mathematical tenets that underlie the study of physics. This mission is retained in this book. The structure of the book is one that keeps pedagogical principles in mind at every level. Not only are the chapters sequenced in such a way as to guide the reader down a clear path that stretches throughout the book, but all individual sections and subsections are also laid out so that the material they address becomes progressively more complex along with the reader's ability to comprehend it. This book not only improves upon the first in many details, but it also fills in some gaps that were left open by this and other books on similar topics. The 350 problems presented here are accompanied by answers which now include a greater amount of detail and additional guidance for arriving at the solutions. In this way, the mathematical underpinnings of the relevant physics topics are made as easy to absorb as possible.
ISBN,Price9783030594725
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. FOURIER ANALYSIS 4. Functions of a Complex Variable 5. FUNCTIONS OF COMPLEX VARIABLES 6. GROUP THEORY 7. Group Theory and Generalizations 8. INTEGRAL TRANSFORMS 9. Integral Transforms, Operational Calculus 10. Mathematical Methods in Physics 11. Operational calculus 12. OPERATOR THEORY 13. PHYSICS
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TitleComplex Spaces in Finsler, Lagrange and Hamilton Geometries
Author(s)Munteanu, Gheorghe
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 2004.
DescriptionXII, 228 p : online resource
Abstract NoteFrom a historical point of view, the theory we submit to the present study has its origins in the famous dissertation of P. Finsler from 1918 ([Fi]). In a the classical notion also conventional classification, Finsler geometry has besides a number of generalizations, which use the same work technique and which can be considered self-geometries: Lagrange and Hamilton spaces. Finsler geometry had a period of incubation long enough, so that few math?? ematicians (E. Cartan, L. Berwald, S.S. Chem, H. Rund) had the patience to penetrate into a universe of tensors, which made them compare it to a jungle. To aU of us, who study nowadays Finsler geometry, it is obvious that the qualitative leap was made in the 1970's by the crystallization of the nonlinear connection notion (a notion which is almost as old as Finsler space, [SZ4]) and by work-skills into its adapted frame fields. The results obtained by M. Matsumoto (coUected later, in 1986, in a monograph, [Ma3]) aroused interest not only in Japan, but also in other countries such as Romania, Hungary, Canada and the USA, where schools of Finsler geometry are founded and are presently widely recognized
ISBN,Price9781402022067
Keyword(s)1. DIFFERENTIAL GEOMETRY 2. EBOOK 3. EBOOK - SPRINGER 4. FUNCTIONS OF COMPLEX VARIABLES 5. Mathematical Modeling and Industrial Mathematics 6. MATHEMATICAL MODELS 7. MATHEMATICAL PHYSICS 8. QUANTUM PHYSICS 9. Several Complex Variables and Analytic Spaces 10. Theoretical, Mathematical and Computational Physics
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TitleLectures on Complex Integration
Author(s)Gogolin, A. O;Tsitsishvili, Elena G;Komnik, Andreas
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2014.
DescriptionIX, 285 p. 64 illus : online resource
Abstract NoteThe theory of complex functions is a strikingly beautiful and powerful area of mathematics. Some particularly fascinating examples are seemingly complicated integrals which are effortlessly computed after reshaping them into integrals along contours, as well as apparently difficult differential and integral equations, which can be elegantly solved using similar methods. To use them is sometimes routine but in many cases it borders on an art. The goal of the book is to introduce the reader to this beautiful area of mathematics and to teach him or her how to use these methods to solve a variety of problems ranging from computation of integrals to solving difficult integral equations. This is done with a help of numerous examples and problems with detailed solutions
ISBN,Price9783319002125
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. Functions of a Complex Variable 4. FUNCTIONS OF COMPLEX VARIABLES 5. Mathematical Applications in the Physical Sciences 6. MATHEMATICAL PHYSICS 7. Theoretical, Mathematical and Computational Physics
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TitleMetodi matematici della Fisica
Author(s)Cicogna, Giampaolo
PublicationMilano, 1. Imprint: Springer 2. Springer Milan, 2015.
DescriptionX, 258 pagg. 22 figg : online resource
Abstract NoteQuesto libro trae la sua origine dagli appunti preparati per le lezioni di Metodi Matematici della Fisica tenute al Dipartimento di Fisica dell'Universit?? di Pisa, e via via sistemati, raffinati e aggiornati nel corso di molti anni di insegnamento. L'intento generale ?? di fornire una presentazione per quanto possibile semplice e diretta dei metodi matematici basilari e rilevanti per la Fisica. Anche allo scopo di mantenere questo testo entro i limiti di un manuale di dimensioni contenute e di agevole consultazione, sono stati spesso sacrificati i dettagli tecnici delle dimostrazioni matematiche (o anzi le dimostrazioni per intero) e anche i formalismi eccessivi, che tendono a nascondere la vera natura dei problemi. Al contrario, si ?? cercato di evidenziare ??? per quanto possibile ??? le idee sottostanti e le motivazioni che conducono ai diversi procedimenti. L'obiettivo principale e quello di mettere in condizione chi ha letto questo libro di acquisire gli strumenti adatti e le conoscenze di base che gli permettano di affrontare senza difficolt?? anche testi pi?? avanzati e impegnativi. Questa nuova Edizione conserva la struttura generale della prima Edizione, ma ?? arricchita dall'inserimento di numerosi esempi (e controesempi), con nuove osservazioni e chiarimenti su tutti gli argomenti proposti: Serie di Fourier, Spazi di Hilbert, Operatori lineari, Funzioni di Variabile complessa, Trasformate di Fourier e di Laplace, Distribuzioni. Inoltre, le prime nozioni della Teoria dei Gruppi, delle Algebre di Lie e delle Simmetrie in Fisica (che erano confinate in una Appendice nella Prima Edizione) vengono ora proposte in una forma sensibilmente ampliata, con vari esempi in vista delle applicazioni alla Fisica. In particolare, due nuovi Capitoli sono dedicati allo studio delle propriet?? di simmetria dell'atomo di idrogeno e dell'oscillatore armonico in Meccanica Quantistica
ISBN,Price9788847056848
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. FOURIER ANALYSIS 4. FUNCTIONAL ANALYSIS 5. Functions of a Complex Variable 6. FUNCTIONS OF COMPLEX VARIABLES 7. GROUP THEORY 8. Group Theory and Generalizations 9. Mathematical Methods in Physics 10. PHYSICS
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TitleMetodi matematici della Fisica
Author(s)Cicogna, Giampaolo
PublicationMilano, 1. Imprint: Springer 2. Springer Milan, 2008.
DescriptionX, 242 pagg : online resource
Abstract NoteQuesto testo trae la sua origine da miei vecchi appunti, preparati per il corso di Metodi Matematici della Fisica e via via sistemati, raffinati e aggiornati nel corso di molti anni di insegnamento. L'obiettivo???? stato sempre quello di fornire una presentazione per quanto possibile semplice e diretta dei metodi matematici rilevanti per la Fisica: serie di Fourier, spazi di Hilbert, operatori lineari, funzioni di variabile complessa, trasformata di Fourier e di Laplace, distribuzioni. Oltre a questi argomenti di base, viene presentata, in Appendice, una breve introduzione alle prime nozioni di teoria dei gruppi, delle algebre di Lie e delle simmetrie in vista delle loro applicazioni alla Fisica. Anche allo scopo di mantenere il libro nei limiti ragionevoli di un manuale di dimensioni contenute e di agevole consultazione, sono stati spesso tralasciati i dettagli tecnici delle dimostrazioni matematiche (o anzi le dimostrazioni per intero) e tutti i formalismi eccessivi che spesso nascondono la vera natura del problema e del metodo necessario per affrontarlo. Al contrario, si???? cercato di chiarire le "idee sottostanti" ai diversi procedimenti; anche le applicazioni proposte sono quelle che meglio e piu' direttamente illustrano i procedimenti stessi, tralasciando altre applicazioni (Meccanica Quantistica, Elettromagnetismo, Equazioni alle Derivate Parziali, Funzioni Speciali, tanto per fare qualche esempio) che sconfinano in differenti discipline. Riassumendo, lo scopo principale e' quello di mettere in condizione chi legge questo libro di acquisire le conoscenze di base che gli permettano di affrontare senza difficolt?? anche testi ben pi?? avanzati e impegnativi
ISBN,Price9788847008342
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. FOURIER ANALYSIS 4. FUNCTIONAL ANALYSIS 5. Functions of a Complex Variable 6. FUNCTIONS OF COMPLEX VARIABLES 7. GROUP THEORY 8. Group Theory and Generalizations 9. Mathematical Methods in Physics 10. PHYSICS
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TitleA Dressing Method in Mathematical Physics
Author(s)Doktorov, Evgeny V;Leble, Sergey B
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 2007.
DescriptionXXIV, 383 p : online resource
Abstract NoteThe monograph is devoted to the systematic presentation of the so called "dressing method" for solving differential equations (both linear and nonlinear) of mathematical physics. The essence of the dressing method consists in a generation of new non-trivial solutions of a given equation from (maybe trivial) solution of the same or related equation. The Moutard and Darboux transformations discovered in XIX century as applied to linear equations, the B??cklund transformation in differential geometry of surfaces, the factorization method, the Riemann-Hilbert problem in the form proposed by Shabat and Zakharov for soliton equations and its extension in terms of the d-bar formalism comprise the main objects of the book. Throughout the text, a generally sufficient "linear experience" of readers is exploited, with a special attention to the algebraic aspects of the main mathematical constructions and to practical rules of obtaining new solutions. Various linear equations of classical and quantum mechanics are solved by the Darboux and factorization methods. An extension of the classical Darboux transformations to nonlinear equations in 1+1 and 2+1 dimensions, as well as its factorization are discussed in detail. The applicability of the local and non-local Riemann-Hilbert problem-based approach and its generalization in terms of the d-bar method are illustrated on various nonlinear equations
ISBN,Price9781402061400
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. CLASSICAL ELECTRODYNAMICS 4. EBOOK 5. EBOOK - SPRINGER 6. ELECTRODYNAMICS 7. ENGINEERING MATHEMATICS 8. Functions of a Complex Variable 9. FUNCTIONS OF COMPLEX VARIABLES 10. Mathematical and Computational Engineering 11. Mathematical Methods in Physics 12. Non-associative Rings and Algebras 13. Nonassociative rings 14. OPTICS 15. PHYSICS 16. Rings (Algebra)
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TitleFractal Geometry and Analysis
Author(s)B??lair, Jacques;Dubuc, Serge
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 1991.
DescriptionXV, 472 p. 85 illus : online resource
Abstract NoteThis ASI- which was also the 28th session of the Seminaire de mathematiques superieures of the Universite de Montreal - was devoted to Fractal Geometry and Analysis. The present volume is the fruit of the work of this Advanced Study Institute. We were fortunate to have with us Prof. Benoit Mandelbrot - the creator of numerous concepts in Fractal Geometry - who gave a series of lectures on multifractals, iteration of analytic functions, and various kinds of fractal stochastic processes. Different foundational contributions for Fractal Geometry like measure theory, dy?? namical systems, iteration theory, branching processes are recognized. The geometry of fractal sets and the analytical tools used to investigate them provide a unifying theme of this book. The main topics that are covered are then as follows. Dimension Theory. Many definitions of fractional dimension have been proposed, all of which coincide on "regular" objects, but often take different values for a given fractal set. There is ample discussion on piecewise estimates yielding actual values for the most common dimensions (Hausdorff, box-counting and packing dimensions). The dimension theory is mainly discussed by Mendes-France, Bedford, Falconer, Tricot and Rata. Construction of fractal sets. Scale in variance is a fundamental property of fractal sets
ISBN,Price9789401579315
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. Functions of a Complex Variable 4. FUNCTIONS OF COMPLEX VARIABLES 5. Mathematical Modeling and Industrial Mathematics 6. MATHEMATICAL MODELS 7. Measure and Integration 8. MEASURE THEORY 9. PROBABILITIES 10. Probability Theory and Stochastic Processes
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