| |
| |
Click the serial number on the left to view the details of the item. |
| # |
Author | Title | Accn# | Year | Item Type | Claims |
| 1 |
Nahin, Paul J |
The Probability Integral |
I12823 |
2023 |
eBook |
|
| 2 |
B??lair, Jacques |
Fractal Geometry and Analysis |
I04505 |
1991 |
eBook |
|
| 3 |
Berezansky, Yu.M |
Spectral Methods in Infinite-Dimensional Analysis |
I03257 |
1995 |
eBook |
|
| 4 |
Zakharov, Vladimir E |
What Is Integrability? |
I01393 |
1991 |
eBook |
|
|
|
1.
  |
 |
| Title | The Probability Integral : Its Origin, Its Importance, and Its Calculation |
| Author(s) | Nahin, Paul J |
| Publication | Cham, 1. Imprint: Springer
2. Springer Nature Switzerland, 2023. |
| Description | XXX, 189 p. 34 illus. in color : online resource |
| Abstract Note | This book tells the story of the probability integral, the approaches to analyzing it throughout history, and the many areas of science where it arises. The so-called probability integral, the integral over the real line of a Gaussian function, occurs ubiquitously in mathematics, physics, engineering and probability theory. Stubbornly resistant to the undergraduate toolkit for handling integrals, calculating its value and investigating its properties occupied such mathematical luminaries as De Moivre, Laplace, Poisson, and Liouville. This book introduces the probability integral, puts it into a historical context, and describes the different approaches throughout history to evaluate and analyze it. The author also takes entertaining diversions into areas of math, science, and engineering where the probability integral arises: as well as being indispensable to probability theory and statistics, it also shows up naturally in thermodynamics and signal processing. Designed to be accessibleto anyone at the undergraduate level and above, this book will appeal to anyone interested in integration techniques, as well as historians of math, science, and statistics |
| ISBN,Price | 9783031384165 |
| Keyword(s) | 1. EBOOK - SPRINGER
2. ENGINEERING MATHEMATICS
3. HISTORY
4. History of Mathematical Sciences
5. History of Statistics
6. Mathematical Methods in Physics
7. MATHEMATICAL PHYSICS
8. MATHEMATICS
9. Measure and Integration
10. MEASURE THEORY
11. PROBABILITIES
12. PROBABILITY THEORY
13. Statistics??
|
| Item Type | eBook |
Multi-Media Links
media link description
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I12823 |
|
|
On Shelf |
|
|
|
|
2.
 |
|
| Title | Fractal Geometry and Analysis |
| Author(s) | B??lair, Jacques;Dubuc, Serge |
| Publication | Dordrecht, Springer Netherlands, 1991. |
| Description | XV, 472 p. 85 illus : online resource |
| Abstract Note | This 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,Price | 9789401579315 |
| 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
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I04505 |
|
|
On Shelf |
|
|
|
|
|
3.
|
|
| Title | Spectral Methods in Infinite-Dimensional Analysis |
| Author(s) | Berezansky, Yu.M;Kondratiev, Y.G |
| Publication | Dordrecht, Springer Netherlands, 1995. |
| Description | XXVI, 1010 p : online resource |
| Abstract Note | The Russian edition of this book appeared 5 years ago. Since that time, many results have been improved upon and new approaches to the problems investigated in the book have appeared. But the greatest surprise for us was to discover that there exists a large group of mathematicians working in the area of the so-called White Noise Analysis which is closely connected with the essential part of our book, namely, with the theory of generalized functions of infinitely many variables. The first papers dealing with White Noise Analysis were written by T. Hida in Japan in 1975. Later, this analysis was devel?? oped intensively in Japan, Germany, U.S.A., Taipei, and in other places. The related problems of infinite-dimensional analysis have been studied in Kiev since 1967, and the theory of generalized functions of infinitely many variables has been in?? vestigated since 1973. However, due to the political system in the U.S.S.R., contact be?? tween Ukrainian and foreign mathematicians was impossible for a long period of time. This is why, to our great regret, only at the end of 1988 did one of the authors meet L. Streit who told him about the existence of White Noise Analysis. And it become clear that many results in these two theories coincide and that, in fact, there exists a single theory and not two distinct ones |
| ISBN,Price | 9789401105095 |
| Keyword(s) | 1. COMPLEX SYSTEMS
2. DYNAMICAL SYSTEMS
3. EBOOK
4. EBOOK - SPRINGER
5. Elementary particles (Physics)
6. Elementary Particles, Quantum Field Theory
7. FUNCTIONAL ANALYSIS
8. Measure and Integration
9. MEASURE THEORY
10. OPERATOR THEORY
11. QUANTUM FIELD THEORY
12. STATISTICAL PHYSICS
13. Statistical Physics and Dynamical Systems
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I03257 |
|
|
On Shelf |
|
|
|
|
|
4.
| |
| Title | What Is Integrability? |
| Author(s) | Zakharov, Vladimir E |
| Publication | Berlin, Heidelberg, Springer Berlin Heidelberg, 1991. |
| Description | XIV, 321 p. 2 illus : online resource |
| Abstract Note | The idea of devoting a complete book to this topic was born at one of the Workshops on Nonlinear and Turbulent Processes in Physics taking place reg?? ularly in Kiev. With the exception of E. D. Siggia and N. Ercolani, all authors of this volume were participants at the third of these workshops. All of them were acquainted with each other and with each other's work. Yet it seemed to be somewhat of a discovery that all of them were and are trying to understand the same problem - the problem of integrability of dynamical systems, primarily Hamiltonian ones with an infinite number of degrees of freedom. No doubt that they (or to be more exact, we) were led to this by the logical process of scientific evolution which often leads to independent, almost simultaneous discoveries. Integrable, or, more accurately, exactly solvable equations are essential to theoretical and mathematical physics. One could say that they constitute the "mathematical nucleus" of theoretical physics whose goal is to describe real clas?? sical or quantum systems. For example, the kinetic gas theory may be considered to be a theory of a system which is trivially integrable: the system of classical noninteracting particles. One of the main tasks of quantum electrodynamics is the development of a theory of an integrable perturbed quantum system, namely, noninteracting electromagnetic and electron-positron fields |
| ISBN,Price | 9783642887031 |
| Keyword(s) | 1. APPLICATION SOFTWARE
2. COMPLEX SYSTEMS
3. DYNAMICAL SYSTEMS
4. EBOOK
5. EBOOK - SPRINGER
6. Information Systems Applications (incl. Internet)
7. Measure and Integration
8. MEASURE THEORY
9. STATISTICAL PHYSICS
10. Statistical Physics and Dynamical Systems
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I01393 |
|
|
On Shelf |
|
|
|
| |