Lectures on Morse Homology
ISBN: 9789048167050 / Angielski / Miękka / 326 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is based on the lecture notes from a course we taught at Penn State University during the fall of 2002. The main goal of the course was to give a complete and detailed proof of the Morse Homology Theorem (Theo rem 7.4) at a level appropriate for second year graduate students. The course was designed for students who had a basic understanding of singular homol ogy, CW-complexes, applications of the existence and uniqueness theorem for O.D.E.s to vector fields on smooth Riemannian manifolds, and Sard's Theo rem. We would like to thank the following students for their participation in...
This book is based on the lecture notes from a course we taught at Penn State University during the fall of 2002. The main goal of the course was to g...
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273,44 zł |
Darboux Transformations in Integrable Systems: Theory and Their Applications to Geometry
ISBN: 9789048167883 / Angielski / Miękka / 308 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The Darboux transformation approach is one of the most effective methods for constructing explicit solutions of partial differential equations which are called integrable systems and play important roles in mechanics, physics and differential geometry. This book presents the Darboux transformations in matrix form and provides purely algebraic algorithms for constructing the explicit solutions. A basis for using symbolic computations to obtain the explicit exact solutions for many integrable systems is established. Moreover, the behavior of simple and multi-solutions, even in... The Darboux transformation approach is one of the most effective methods for constructing explicit solutions of partial differential equations whic... |
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390,87 zł |
Homotopy Methods in Topological Fixed and Periodic Points Theory
ISBN: 9789048169986 / Angielski / Miękka / 320 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is the first systematic and self-contained textbook on homotopy methods in the study of periodic points of a map. A modern exposition of the classical topological fixed-point theory with a complete set of all the necessary notions as well as new proofs of the Lefschetz-Hopf and Wecken theorems are included. Periodic points are studied through the use of Lefschetz numbers of iterations of a map and Nielsen-Jiang periodic numbers related to the Nielsen numbers of iterations of this map. Wecken theorem for periodic points is then discussed in the second half of the book and several... This is the first systematic and self-contained textbook on homotopy methods in the study of periodic points of a map. A modern exposition of the c... |
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390,87 zł |
Mathematical Theory of Entropy
ISBN: 9780521177382 / Angielski / Miękka / 286 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Originally published in 1981, this excellent treatment of the mathematical theory of entropy gives an accessible exposition of the ways in which this idea has been applied to information theory, ergodic theory, topological dynamics and statistical mechanics. Scientists who want a quick understanding of how entropy is applied in disciplines not their own, or simply desire a better understanding of the mathematical foundation of the entropy function will find this to be a valuable book.
Originally published in 1981, this excellent treatment of the mathematical theory of entropy gives an accessible exposition of the ways in which this ...
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347,92 zł |
Special Functions in Fractional Calculus and Related Fractional Differintegral Equations
ISBN: 9789814551106 / Angielski / Twarda / 31-05-2024 / 300 str. Książka dostępna od: 31-05-2024 The subject of fractional calculus (that is, calculus of integrals and derivatives of any arbitrary real or complex order) has gained considerable popularity and importance during the past four decades, due mainly to its demonstrated applications in numerous seemingly diverse and widespread fields of science and engineering. It does indeed provide several potentially useful tools for solving differential, integral and differintegral equations, and various other problems involving special functions of mathematical physics as well as their extensions and generalizations in one and more...
The subject of fractional calculus (that is, calculus of integrals and derivatives of any arbitrary real or complex order) has gained considerable pop...
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Termin ukazania się książki: 31-05-2024
Książkę można już zamówić z rabatem 5% |
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534,75 zł |
Differential Models of Hysteresis
ISBN: 9783642081323 / Angielski / Miękka / 412 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Hysteresis effects occur in science and engineering: plasticity, ferromagnetism, ferroelectricity are well-known examples. Modelling and mathematical analysis of hysteresis phenomena have been addressed by mathematicians only recently, but are now in full development.
This volume provides a self-contained and comprehensive introduction to the analysis of hysteresis models, and illustrates several new results in this field. First the classical models of Prandtl, Ishlinskii, Preisach and Duhem are formulated and studied, using the concept of "hysteresis operator." A new model of... Hysteresis effects occur in science and engineering: plasticity, ferromagnetism, ferroelectricity are well-known examples. Modelling and mathematical ...
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195,42 zł |
Oscillations and Waves: In Linear and Nonlinear Systems
ISBN: 9780792304456 / Angielski / Twarda / 578 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. 'Et mai ... si j'avait su comment en revenir. One service mathematics has rendered the je n'y semis point aUe.' human race. It has put common sense back Jules Verne where it belongs, on the topmost sheJf next to the dusty canister Iabclled 'discarded non. The series is divergent; therefore we may be sense'. Eric T. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a...
'Et mai ... si j'avait su comment en revenir. One service mathematics has rendered the je n'y semis point aUe.' human race. It has put common sense ba...
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390,87 zł |
Fifty Years of Mathematical Physics: Selected Works of Ludwig Faddeev
ISBN: 9789814340953 / Angielski / Twarda / 596 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This unique volume summarizes with a historical perspective several of the major scientific achievements of Ludwig Faddeev, with a foreword by Nobel Laureate C N Yang. The volume that spans over fifty years of Faddeev's career begins where he started his own scientific research, in the subject of scattering theory and the three-body problem. It then continues to describe Faddeev's contributions to automorphic functions, followed by an extensive account of his many fundamental contributions to quantum field theory including his original article on ghosts with Popov....
This unique volume summarizes with a historical perspective several of the major scientific achievements of Ludwig Faddeev, with a foreword by Nobel L...
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972,27 zł |
The World According to Wavelets: The Story of a Mathematical Technique in the Making, Second Edition
ISBN: 9781568810720 / Angielski / Twarda / 352 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Drawing on researchers in the United States and France, this work tells the story of the wavelet transform - a scientifically intriguing method of encoding information with many practical applications. Devoid of formulas, the main text relates a story of people and ideas.
Drawing on researchers in the United States and France, this work tells the story of the wavelet transform - a scientifically intriguing method of enc...
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537,31 zł |
Difference Algebra
ISBN: 9789048177745 / Angielski / Miękka / 521 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Difference algebra grew out of the study of algebraic difference equations with coefficients from functional fields. The first stage of this development of the theory is associated with its founder, J.F. Ritt (1893-1951), and R. Cohn, whose book Difference Algebra (1965) remained the only fundamental monograph on the subject for many years. Nowadays, difference algebra has overgrown the frame of the theory of ordinary algebraic difference equations and appears as a rich theory with applications to the study of equations in finite differences, functional equations, differential equations... Difference algebra grew out of the study of algebraic difference equations with coefficients from functional fields. The first stage of this develo... |
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390,87 zł |
Sign-Changing Critical Point Theory
ISBN: 9781441945716 / Angielski / Miękka / 310 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Many nonlinear problems in physics, engineering, biology and social sciences can be reduced to finding critical points of functionals. While minimax and Morse theories provide answers to many situations and problems on the existence of multiple critical points of a functional, they often cannot provide much-needed additional properties of these critical points. Sign-changing critical point theory has emerged as a new area of rich research on critical points of a differentiable functional with important applications to nonlinear elliptic PDEs. Key features of this book: (1)... Many nonlinear problems in physics, engineering, biology and social sciences can be reduced to finding critical points of functionals. While minima... |
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390,87 zł |
Coordination: Neural, Behavioral and Social Dynamics
ISBN: 9783642093890 / Angielski / Miękka / 355 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. One of the most striking features of Coordination Dynamics is its interdisciplinary character. The problems we are trying to solve in this field range from behavioral phenomena of interlimb coordination and coordination between stimuli and movements (perception-action tasks) through neural activation patterns that can be observed during these tasks to clinical applications and social behavior. It is not surprising that close collaboration among scientists from different fields as psychology, kinesiology, neurology and even physics are imperative to deal with the enormous difficulties we are...
One of the most striking features of Coordination Dynamics is its interdisciplinary character. The problems we are trying to solve in this field range...
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390,87 zł |
Solving Ordinary Differential Equations I: Nonstiff Problems
ISBN: 9783642081583 / Angielski / Miękka / 528 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book deals with methods for solving nonstiff ordinary differential equations. The first chapter describes the historical development of the classical theory, and the second chapter includes a modern treatment of Runge-Kutta and extrapolation methods. Chapter three begins with the classical theory of multistep methods, and concludes with the theory of general linear methods. The reader will benefit from many illustrations, a historical and didactic approach, and computer programs which help him/her learn to solve all kinds of ordinary differential equations. This new edition has been... This book deals with methods for solving nonstiff ordinary differential equations. The first chapter describes the historical development of the cl... |
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254,06 zł |
Partial Differential Equations VI: Elliptic and Parabolic Operators
ISBN: 9783642081170 / Angielski / Miękka / 325 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. 0. 1. The Scope of the Paper. This article is mainly devoted to the oper ators indicated in the title. More specifically, we consider elliptic differential and pseudodifferential operators with infinitely smooth symbols on infinitely smooth closed manifolds, i. e. compact manifolds without boundary. We also touch upon some variants of the theory of elliptic operators in Rn. A separate article (Agranovich 1993) will be devoted to elliptic boundary problems for elliptic partial differential equations and systems. We now list the main topics discussed in the article. First of all, we ex pound...
0. 1. The Scope of the Paper. This article is mainly devoted to the oper ators indicated in the title. More specifically, we consider elliptic differe...
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390,87 zł |
Operator Algebras: The Abel Symposium 2004
ISBN: 9783642070617 / Angielski / Miękka / 279 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The theme of this symposium was operator algebras in a wide sense. In the last 40 years operator algebras has developed from a rather special dis- pline within functional analysis to become a central ?eld in mathematics often described as non-commutative geometry (see for example the book Non-Commutative Geometry by the Fields medalist Alain Connes). It has branched out in several sub-disciplines and made contact with other subjects like for example mathematical physics, algebraic topology, geometry, dyn- ical systems, knot theory, ergodic theory, wavelets, representations of groups and...
The theme of this symposium was operator algebras in a wide sense. In the last 40 years operator algebras has developed from a rather special dis- pli...
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cena:
390,87 zł |
Fractals and Universal Spaces in Dimension Theory
ISBN: 9781441927514 / Angielski / Miękka / 242 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Historically, for metric spaces the quest for universal spaces in dimension theory spanned approximately a century of mathematical research. The history breaks naturally into two periods - the classical (separable metric) and the modern (not-necessarily separable metric). The classical theory is now well documented in several books. This monograph is the first book to unify the modern theory from 1960-2007. Like the classical theory, the modern theory fundamentally involves the unit interval. Unique features include: Historically, for metric spaces the quest for universal spaces in dimension theory spanned approximately a century of mathematical research. The hi... |
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195,42 zł |
Introduction to Applied Mathematics for Environmental Science
ISBN: 9781441941695 / Angielski / Miękka / 317 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. For many years, first as a student and later as a teacher, I have ob served graduate students in ecology and other environmental sci ences who had been required as undergraduates to take calculus courses. Those courses have often emphasized how to prove theo rems about the beautiful, logical structure of calculus, but have ne glected applications. Most of the time, the students have come out of such courses with little or no appreciation of how to apply calculus in their own work. Based on these observations, I developed a course de signed in part to re-teach calculus as an everyday tool in...
For many years, first as a student and later as a teacher, I have ob served graduate students in ecology and other environmental sci ences who had bee...
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cena:
254,06 zł |
Critical Point Theory and Its Applications
ISBN: 9781441941084 / Angielski / Miękka / 318 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Since the birth of the calculus of variations, researchers have discovered that variational methods, when they apply, can obtain better results than most other methods. Moreover, they apply in a very large number of situations. It was realized many years ago that the solutions of a great number of problems are in effect critical points of functionals. Critical Point Theory and Its Applications presents some of the latest research in the area of critical point theory. Researchers have obtained many new results recently using this approach, and in most cases comparable results have not been... Since the birth of the calculus of variations, researchers have discovered that variational methods, when they apply, can obtain better results tha... |
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390,87 zł |
Heat Conduction: Mathematical Models and Analytical Solutions
ISBN: 9783642093340 / Angielski / Miękka / 515 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Many phenomena in social, natural and engineering fields are governed by wave, potential, parabolic heat-conduction, hyperbolic heat-conduction and dual-phase-lagging heat-conduction equations. This monograph examines these equations: their solution structures, methods of finding their solutions under various supplementary conditions, as well as the physical implication and applications of their solutions. Many phenomena in social, natural and engineering fields are governed by wave, potential, parabolic heat-conduction, hyperbolic heat-conduction and... |
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586,33 zł |
Boundary Element Methods
ISBN: 9783540680925 / Angielski / Twarda / 561 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This work presents a thorough treatment of boundary element methods (BEM) for solving strongly elliptic boundary integral equations obtained from boundary reduction of elliptic boundary value problems in $mathbb DEGREES3$. The book is self-contained, the prerequisites on elliptic partial differential and integral equations being presented in Chapters 2 and 3. The main focus is on the development, analysis, and implementation of Galerkin boundary element methods, which is one of the most flexible and robust numerical discretization methods for integral equations. For the efficient...
This work presents a thorough treatment of boundary element methods (BEM) for solving strongly elliptic boundary integral equations obtained from boun...
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cena:
547,24 zł |