数学书系列
发布: 2007-10-28 18:24 | 作者: bbiyw117 | 来源: 搜搜中国
Analytic Arithmetic in Algebraic Number Fields
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Number Of Pages: 184
Publication Date: 1986-12-31
Sales Rank:
ISBN / ASIN: 3540167846
EAN: 9783540167846
Pass: gigapedia.org
Binding: Paperback
Manufacturer: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Studio: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Average Rating: 0
Total Reviews: 0
This book is an improved version of our memoir that appeared in Bonner Mathematische Schriften, [64]. Its purpose is twofold: first, we give a complete relatively self-contained proof of the theorem concerning analytic continuation and natural boundary of Euler products (sketched in Chapter III of [64]) and describe applications of Dirichlet series represented by Euler products under consideration; secondly, we review in detail classical methods of analytic number theory in fields of algebraic numbers. Our presentation of these methods (see Chapter I) has been most influenced by the work of E. Landau, [40], [42], E. Hecke, [24], and A. Weil, [91] (cf. also [87]). In Chapter II we develop formalism of Euler products generated by polynomials whose coefficients lie in the ring of virtual characters of the (absolute) Weil group of a number field and apply it to study scalar products of Artin-Weil Lfunctions.
This leads, in particular, to a solution of a long-standing problem concerning analytic behaviour of the scalar products, or convolutions, of L-functions Hecke "mit Gr~ssencharakteren" (cf. [63] for he history of this problem; one may regard this note as a r~sum~ of chapter II, if you like). Chapter III describes applications of those scalar products to the problem of asymptotic distribution of integral and prime ideals having equal norms and to a classical problem about
distribution of integral points on a variety defined by a system of norm-forms. Chapter IV is designed to relate the contents of the book to the work of other authors and to acknowledge our indebtedness to
these authors.
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Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Number Of Pages: 184
Publication Date: 1986-12-31
Sales Rank:
ISBN / ASIN: 3540167846
EAN: 9783540167846
Pass: gigapedia.org
Binding: Paperback
Manufacturer: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Studio: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Average Rating: 0
Total Reviews: 0
This book is an improved version of our memoir that appeared in Bonner Mathematische Schriften, [64]. Its purpose is twofold: first, we give a complete relatively self-contained proof of the theorem concerning analytic continuation and natural boundary of Euler products (sketched in Chapter III of [64]) and describe applications of Dirichlet series represented by Euler products under consideration; secondly, we review in detail classical methods of analytic number theory in fields of algebraic numbers. Our presentation of these methods (see Chapter I) has been most influenced by the work of E. Landau, [40], [42], E. Hecke, [24], and A. Weil, [91] (cf. also [87]). In Chapter II we develop formalism of Euler products generated by polynomials whose coefficients lie in the ring of virtual characters of the (absolute) Weil group of a number field and apply it to study scalar products of Artin-Weil Lfunctions.
This leads, in particular, to a solution of a long-standing problem concerning analytic behaviour of the scalar products, or convolutions, of L-functions Hecke "mit Gr~ssencharakteren" (cf. [63] for he history of this problem; one may regard this note as a r~sum~ of chapter II, if you like). Chapter III describes applications of those scalar products to the problem of asymptotic distribution of integral and prime ideals having equal norms and to a classical problem about
distribution of integral points on a variety defined by a system of norm-forms. Chapter IV is designed to relate the contents of the book to the work of other authors and to acknowledge our indebtedness to
these authors.
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By Pavel Drábek, Jaroslav Milota,
Publisher: Birkhäuser Basel
Number Of Pages: 568
Publication Date: 2007-06-28
Sales Rank: 2005637
ISBN / ASIN: 3764381469
EAN: 9783764381462
Pass: gigapedia.org
Binding: Hardcover
Manufacturer: Birkhäuser Basel
Studio: Birkhäuser Basel
Average Rating: 0
Total Reviews: 0
About this textbook
Designed as textbook for advanced undergraduate and graduate students and useful as handbook of nonlinear methods for scientists and engineers
Exercises are an organic part of the exposition and accompany the reader throughout the book
Accessible to beginners by avoiding too many technical details and keeping key assertions simple
In this book, fundamental methods of nonlinear analysis are introduced, discussed and illustrated in straightforward examples. Every method considered is motivated and explained in its general form, but presented in an abstract framework as comprehensively as possible. Applications and generalizations are shown. In particular, a large number of methods is applied to boundary value problems for partial differential equations.
The text is structured in two levels: a self-contained basic level and an advanced level - organized in appendices - for the more experienced reader. It thus serves as both a textbook for graduate-level courses and a reference book for mathematicians, engineers and applied scientists.
Written for:
Advanced undergraduate and graduate students, instructors, scientists and engineers
Keywords:
boundary value problem
functional analysis
nonlinear analysis
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By Jean-Philippe Anker, Bent Orsted (Editors)
Publisher: Birkhäuser Boston
Number Of Pages: 175
Publication Date: 2005-01-04
Sales Rank: 2400243
ISBN / ASIN: 081763777X
EAN: 9780817637774
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Binding: Hardcover
Manufacturer: Birkhäuser Boston
Studio: Birkhäuser Boston
Average Rating: 0
Semisimple Lie groups, and their algebraic analogues over fields other than the reals, are of fundamental importance in geometry, analysis, and mathematical physics. Three independent, self-contained volumes, under the general title Lie Theory, feature survey work and original results by well-established researchers in key areas of semisimple Lie theory.
Harmonic Analysis on Symmetric Spaces—General Plancherel Theorems presents extensive surveys by E.P. van den Ban, H. Schlichtkrull, and P. Delorme of the spectacular progress over the past decade in deriving the Plancherel theorem on reductive symmetric spaces.
Van den Ban’s introductory chapter explains the basic setup of a reductive symmetric space along with a careful study of the structure theory, particularly for the ring of invariant differential operators for the relevant class of parabolic subgroups. Advanced topics for the formulation and understanding of the proof are covered, including Eisenstein integrals, regularity theorems, Maass–Selberg relations, and residue calculus for root systems. Schlichtkrull provides a cogent account of the basic ingredients in the harmonic analysis on a symmetric space through the explanation and definition of the Paley–Wiener theorem. Approaching the Plancherel theorem through an alternative viewpoint, the Schwartz space, Delorme bases his discussion and proof on asymptotic expansions of eigenfunctions and the theory of intertwining integrals.
Well suited for both graduate students and researchers in semisimple Lie theory and neighboring fields, possibly even mathematical cosmology, Harmonic Analysis on Symmetric Spaces—General Plancherel Theorems provides a broad, clearly focused examination of semisimple Lie groups and their integral importance and applications to research in many branches of mathematics and physics. Knowledge of basic representation theory of Lie groups as well as familiarity with semisimple Lie groups, symmetric spaces, and parabolic subgroups is required.
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By Richard Courant; Fritz John
Publisher: Interscience Publishers
Number Of Pages: 0
Publication Date: 1965
Sales Rank: 1440798
ISBN / ASIN: B000MX348A
EAN:
Binding: Hardcover
Manufacturer: Interscience Publishers
Studio: Interscience Publishers
Average Rating: 0
Total Reviews: 0
One of the best book on calculus
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Publisher: World Scientific Publishing Company
Number Of Pages: 226
Publication Date: 2007-07-30
Sales Rank:
ISBN / ASIN: 9812704566
EAN: 9789812704566
Pass: gigapedia.org
Binding: Hardcover
Manufacturer: World Scientific Publishing Company
Studio: World Scientific Publishing Company
Average Rating: 0
Total Reviews: 0
This volume brings together articles on the mathematical aspects of life sciences, astrophysics, and nonlinear wave problems. It covers theoretical problems associated with the nervous system, drosophila embryos, protein folding, biopolymers, protoplanetary disks and extrasolar planets, gaseous disks, spiral galaxies, dark matter dynamics, star formation, solitary waves, photonics, and nonlinear light propagation in periodic media. The contributions are written for a general audience, and the authors have included references for further reading.
Contents:
Multiple Rhythms and Switches in the Nervous System (N Kopell et al.) Some Ideas on Action Potentials (D Y Hsieh) Negative Feedback in Morphogen Gradients (M Khong & F Y M Wan) CSAW: Stochastic Approach to Protein Folding (K Huang) “Collapse and Search” Dynamics of Protein Folding Detected by Time-Resolved Small-Angle X-Ray Scattering (S Takahashi & T Fujisawa) Structural Transitions in Biopolymers: From DNA to Protein to Spider Silk (H Zhou) The Structure, Evolution and Instability of a Self-Gravitating Gaseous Disk under the Influence of Periodic Forcings (C Yuan) Dynamics of Spiral Galaxies (G Bertin) Dark Matter Dynamics in Galaxies (C-P Ma) Asymptotics and Star Formation (F H Shu) Solitary Waves from Optics to Fluid Dynamics (M J Ablowitz & A Docherty) Resonance Problems in Photonics (M I Weinstein) Some Mathematical Properties of Long Waves (D J Benney) New Solitary Wave Structures in Two-Dimensional Periodic Media (Z Shi & J Yang)
Readership: Graduate students, mathematicians and scientists interested in applied mathematics, life sciences, physics and nonlinear science.
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Publisher: North Holland
Number Of Pages: 575
Publication Date: 2005-03-08
Sales Rank: 3714430
ISBN / ASIN: 0444515860
EAN: 9780444515865
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Binding: Hardcover
Manufacturer: North Holland
Studio: North Holland
Average Rating: 0
Total Reviews: 0
The book is devoted to universality problems.
A new approach to these problems is given using some specific spaces. Since the construction of these specific spaces is set-theoretical, the given theory can be applied to different topics of Topology such as:
universal mappings, dimension theory, action of groups, inverse spectra, isometrical embeddings, and so on.
· Universal spaces
· Universal mappings
· Dimension theory
· Actions of groups
· Isometric Universal Spaces
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By Morris Hirsch, Stephen Smale,
Publisher: Academic Press
Number Of Pages: 358
Publication Date: 1974-06
Sales Rank: 857409
ISBN / ASIN: 0123495504
EAN: 9780123495501
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Binding: Hardcover
Manufacturer: Academic Press
Studio: Academic Press
Average Rating: 4
This book is about dynamical aspects of ordinary differential equations and the relations between dynamical systems and certain fields outside pure mathematics. A prominent role is played by the structure theory of linear operators on finite-dimensional vector spaces; the authors have included a self-contained treatment of that subject.
Date: 2005-06-10 Rating: 4
Review:
A valuable source
This book (the original version) has all the basics to introduce the future differential equations/dynamical systems researchers into the field. Written by authorities in the field (Hirsch and Smale,) this text offers a wide variety of topics, including linear systems, local and global stability theory for non-linear systems, and applications to physics and biology. As an added treat, the inclusion of basic linear algebra and operator theory makes this a rather self-contained work. The dedicated reader will not be disappointed - the material is well organised with sufficient level of detail, illustration, and exercises.
Date: 2003-09-15 Rating: 5
Review:
This is not a recipe book
I can see that this is not the book for you if you want to solve a particular differential equation. But in terms of understanding the field of dynamical systems, there is no rival. This book is a pleasure to read, for the first time I understood the importance and beauty of linear algebra. Academic Press says that this is their most successful mathematics text, and it is not hard to see why. I wish more texts were as clearly written and as beautiful to read.
Date: 2003-09-08 Rating: 1
Review:
A complete waste
This is not a book, it's a piece of trash!!! This so called book is a meaningless mess which wasn't even understandable for the person who had a PhD in math and was teaching our class. Do NOT bother with this nonsense. if you want to learn something just read Ordinary Differential Equations by V. I. Arnold.I would have given no star if I could!!!Just go with Arnold's and I'll be WAY better off.
Date: 2003-01-31 Rating: 3
Review:
Not for the average undergrad!
As a senior undergrad majoring in math and economics, this book is everything but an easy read. To all fellow undergrads who are not math superheroes (that should about 75% of us), if you happen to come across this book in an upcoming course description, it may be a good idea to look for alternative. Currently, I'm looking for another book that I may be able to use as a supplement to get me through this course with a passing grade. Up to this point in my math career, I have never come across a text as ungraspable as this one; this is unfortunate since it appears that there is a lot of knowledge and content on the pages.
Date: 2001-04-03 Rating: 5
Review:
Thorough and solid introduction
This is the book from which I was introduced to dynamical systems some twenty-odd years ago. It's a thorough introduction that presumes a basic knowledge of multivariate differential calculus but is pretty well self-contained as far as linear algebra is concerned. Rigorous but readable, it provides a foundational understanding of n-dimensional linear dynamical systems and their basic exponential solution.
But my opinions won't be as helpful to the Amazon math shopper as a simple listing of what's in the book. So here's the table of contents.
Chapter 1: First Examples
Chapter 2: Newton's Equation and Kepler's Law
Chapter 3: Linear Systems with Constant Coefficiants and Real Eigenvalues
Chapter 4: Linear Systems with Constant Coefficients and Complex Eigenvalues
Chapter 5: Linear Systems and Exponentials of Operators
Chapter 6: Linear Systems and Canonical Forms of Operators
Chapter 7: Contractions and Generic Properties of Operators
Chapter 8: Fundamental Theory
Chapter 9: Stability of Equilibria
Chapter 10: Differential Equations for Electric Circuits
Chapter 11: The Poincare-Bendixson Theorem
Chapter 12: Ecology
Chapter 13: Periodic Attractors
Chapter 14: Classical Mechanics
Chapter 15: Nonautonomous Equations and Differentiability of Flows
Chapter 16: Perturbation Theory and Structural Stability
Afterword
Appendix I: Elementary Facts
Appendix II: Polynomials
Appendix III: On Canonical Forms
Appendix IV: The Inverse Function Theorem
References
Answers to Selected Problems
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By Laurent Bartholdi, Tullio Ceccherini-Silberstein, Tatiana Smirnova-Nagnibeda, Andrzej Zuk (Editors)
Publisher: Birkhauser
Number Of Pages: 413
Publication Date: 2005-12-22
Sales Rank: 2735043
ISBN / ASIN: 3764374462
EAN: 9783764374464
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Binding: Hardcover
Manufacturer: Birkhauser
Studio: Birkhauser
This book is a collection of selected papers on recent trends in the study of infinite discrete groups. The authors who contributed to this volume were invited plenary speakers at the International Conference on Group Theory: "Geometric, Combinatorial and Dynamical Aspects of Infinite Groups" which was held in Gaeta, Italy, in June 1-6, 2003. The exceptional quality of their lectures and the great interest they arose among the almost two hundred conference participants from over twenty countries gave us, the organisers of the conference, the idea of this book. We are most grateful to the authors who have all responded with wonderful enthusiasm to our request for a contribution.
This volume is far from being a book of conference proceedings. It is rather a one-of-a-sort collection of papers which aims at reflecting the present state of the art in a most active area of research at the intersection of several branches of mathematics.
Topics discussed in the book include geometric and combinatorial group theory; ergodic theory and operator algebras; low-dimensional topology; groups acting on trees and their boundaries; random walks; amenability; growth; groups and fractals; L2 -cohomology.
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Publisher: Chapman & Hall/CRC
Number Of Pages: 280
Publication Date: 2000-10-25
Sales Rank: 1234171
ISBN / ASIN: 1584880635
EAN: 9781584880639
Binding: Hardcover
Manufacturer: Chapman & Hall/CRC
Studio: Chapman & Hall/CRC
From the author of the bestselling "Analysis of Time Series," Time-Series Forecasting offers a comprehensive, up-to-date review of forecasting methods. It provides a summary of time-series modelling procedures, followed by a brief catalogue of many different time-series forecasting methods, ranging from ad-hoc methods through ARIMA and state-space modelling to multivariate methods and including recent arrivals, such as GARCH models, neural networks, and cointegrated models. The author compares the more important methods in terms of their theoretical inter-relationships and their practical merits. He also considers two other general forecasting topics that have been somewhat neglected in the literature: the computation of prediction intervals and the effect of model uncertainty on forecast accuracy. Although the search for a "best" method continues, it is now well established that no single method will outperform all other methods in all situations-the context is crucial. Time-Series Forecasting provides an outstanding reference source for the more generally applicable methods particularly useful to researchers and practitioners in forecasting in the areas of economics, government, industry, and commerce.
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Symplectic and Poisson Geometry on Loop Spaces of smooth manifolds and Integral Equations
O. I. Mokhov
Edited by:
S. P. Novikov and I. M. Kichever
L.D. Landau Institute of Theoretical Physics
Russian Academy of Sciences, Moscow
Publisher: Taylor & Francis Ltd / hardwood academic publishers
Number Of Pages: 0
Publication Date: 2004-09-01
Sales Rank:
ISBN / ASIN: 9058232352 / 0203393260
Series: Reviews in Mathematics and Mathematical Physics
From Publisher:
This survey paper is devoted to Hamiltonian geometry of integrable partial differential equations and the theory of infinite-dimensional symplectic and Poisson structures. Infinite-dimensional symplectic and Poisson geometry is closely connected with modern mathematical physics, field theory, and the theory of integrable systems of partial differential equations. In particular, structures studied in the present paper, namely, symplectic and Poisson structures of special differential-geometric type on loop spaces of manifolds, generate Hamiltonian representations for a number of important non-linear systems of mathematical physics and field theory, for example, such as systems of hydrodynamic type (these systems arise not only in Euler hydrodynamics.
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Publisher: Imperial College Press
Number Of Pages: 388
Publication Date: 2007-04-26
Sales Rank: 1603817
ISBN / ASIN: 1860947859
EAN: 9781860947858
Binding: Hardcover
Manufacturer: Imperial College Press
Studio: Imperial College Press
Pseudo-Riemannian geometry is an active research field not only in differential geometry but also in mathematical physics where the higher signature geometries play a role in brane theory. An essential reference tool for research mathematicians and physicists, this book also serves as a useful introduction to students entering this active and rapidly growing field. The author presents a comprehensive treatment of several aspects of pseudo-Riemannian geometry, including the spectral geometry of the curvature tensor, curvature homogeneity, and Stanilov Tsankov Videv theory.
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Publisher: World Scientific Publishing Company
Number Of Pages: 468
Publication Date: 2004-04
Sales Rank: 5313580
ISBN / ASIN: 9812384324
EAN: 9789812384324
Binding: Hardcover
Manufacturer: World Scientific Publishing Company
Studio: World Scientific Publishing Company
This volume covers a broad range of subjects in modern geometry and related branches of mathematics, physics and computer science. Most of the papers show new, interesting results in Riemannian geometry, homotopy theory, theory of Lie groups and Lie algebras, topological analysis, integrable systems, quantum groups, and noncommutative geometry. There are also papers giving overviews of the recent achievements in some special topics, such as the Willmore conjecture, geodesic mappings, Weyl's tube formula, and integrable geodesic flows. This book provides a great chance for interchanging new results and ideas in multidisciplinary studies.
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By Abbas Bahri, Yongzhong Xu,
Publisher: Imperial College Press
Number Of Pages: 524
Publication Date: 2007-04-05
Sales Rank:
ISBN / ASIN: 1860947727
EAN: 9781860947728
Binding: Hardcover
Manufacturer: Imperial College Press
Studio: Imperial College Press
This book presents a new front of research in conformal geometry, on sign-changing Yamabe-type problems and contact form geometry in particular. New ground is broken with the establishment of a Morse lemma at infinity for sign-changing Yamabe-type problems. This family of problems, thought to be out of reach a few years ago, becomes a family of problems which can be studied: the book lays the foundation for a program of research in this direction. In contact form geometry, a cousin of symplectic geometry, the authors prove a fundamental result of compactness in a variational problem on Legrendrian curves, which allows one to define a homology associated to a contact structure and a vector field of its kernel on a three-dimensional manifold. The homology is invariant under deformation of the contact form, and can be read on a sub-Morse complex of the Morse complex of the variational problem built with the periodic orbits of the Reeb vector-field. This book introduces, therefore, a practical tool in the field, and this homology becomes computable.
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Publisher: World Scientific Publishing Company
Number Of Pages: 902
Publication Date: 2007-01-16
Sales Rank: 3243780
ISBN / ASIN: 9812700226
EAN: 9789812700223
Binding: Hardcover
Manufacturer: World Scientific Publishing Company
Studio: World Scientific Publishing Company
Average Rating: 0
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By Kai Lai Chung, Farid Aitsahlia,
Publisher: Springer
Number Of Pages: 384
Publication Date: 2006-07-14
Sales Rank: 123268
ISBN / ASIN: 038795578X
EAN: 9780387955780
Binding: Hardcover
Manufacturer: Springer
Studio: Springer
Average Rating: 4
This is an introductory textbook on probability theory and its applications. Basic concepts such as probability measure, random variable, distribution, and expectation are fully treated without technical complications. Both the discrete and continuous cases are covered, the elements of calculus being used in the latter case. The emphasis is on essential probabilistic reasoning, amply motivated, explained, and illustrated with a large number of carefully selected examples. Special topics include combinatorial problems, urn schemes, Poisson processes, random walks, genetic models, and Markov chains. Problems with solutions are provided at the end of each chapter. Its easy style and full discussion make this a useful text not only for mathematics and statistics majors, but also for students in engineering and physical, biological, and social sciences. This edition adds two new chapters covering applications to mathematical finance. Elements of modern portfolio and option theories are presented in a detailed and rigorous manner. The approach distinguishes this text from other more mathematically advanced treatises or more technical manuals. Kai Lai Chung is Professor Emeritus of Mathematics at Stanford University. Farid AitSahlia is a Senior Scientist with DemandTec, where he develops econometric and optimization methods for demand-based pricing models. He is also a visiting scholar in the department of statistics at Stanford University, where he obtained his Ph.D.in operations research.
Review:
best textbook for elementary probability theory
As a professor in computer science, I am teaching a seminar course in which I wanted to cover basic probability theory in a week. I read at least a half dozen textbooks in the university library and found this book to be far better than others for my purpose. In particular, the material I used was the derivation from the binomial distribution (a coin toss) to the normal and the Poisson distributions, which I covered in two classes. Students liked the many interesting, real-life examples in the book. In addition, I taught the two proofs for the law of large numbers. The second one from Chebyshev was more powerful (applies to non-identical distributions), stronger (guaratees the speed of convergence), simpler and shorter (half a page with no need of mathematical analysis). It eclipsed the theories of other mathematicians in the previous 200 years. The Chebyshev's theorem was new to me and to all the people I mentioned this to.
Of the books I know, this is the best entry level textbook for probability theories. I did not read the chapters on mathematical finance.
Review:
Great thoughts in every page
I just read the review by another reader, I would say unfortunately he was wrong. This book is one of the greatest probability book I have ever seen. If you want high-school level combination problem, this book is not for you. But if you want the essence of probability theory, this will be the perfect book for the entry. Actually I'm annoied by the comments of the other reviewer. I think he needs to review himself if he is not competent enough to take such course.
Review:
painful... even by undergraduate math textbook standards
I remember this ghastly nightmare from my undergraduate days. It was the only math textbook that I really struggled with. Part of that was probably due to having an inordinately lousy professor, but part of it is because the book reads more like a quick review for people who already know the subject matter than as an actual tool for learning.
As a contrast, check out what people are saying about "A Book of Abstract Algebra" by Pinter -- they're right, THAT is everything a math textbook should be. My class never quite finished it, but I had no trouble reading the later chapters on my own. I still have a copy of Chung's book, but it only has one remotely interesting thing in it that I remember, which was Laplace's calculation of the probability that the sun will rise tomorrow.
Bottom line: if you're unfortunate enough to end up with a professor who is still using Chung's book (I used it in 1997) ... run!
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By Uwe Küchler, Michael Sorensen,
Publisher: Springer
Number Of Pages: 322
Publication Date: 1997-07-10
Sales Rank: 1670195
ISBN / ASIN: 038794981X
EAN: 9780387949819
Binding: Hardcover
Manufacturer: Springer
Studio: Springer
This is author-approved bcc: This book provides a comprehensive account of the statistical theory of exponential families of stochastic processes. The book reviews the progress in the field made over the last ten years or so by the authors, two of the leading experts in the field, and several other researchers. The theory is applied to a broad spectrum of examples. A large number of frequently applied stochastic process models with discrete as well as with continuous time are covered by the theory developed in the book. The exponential families of stochastic processes are the most tractable type of statistical models for stochastic processes. On the other hand, they include models that are complex enough to exhibit basic inference problems that are peculiar to stochastic process models. Therefore they are a good starting point for the statistican who plans to work in this interesting and vigorous field. To make the reading easier for statisticians with only a basic background in the theory of stochastic process, the first part of the book is based on classical theory of stochastic processes only, while stochastic calculus is used late in the book. Most of the concepts and tools from stochastic calculus that a statistician is likely to need, when working with inference for stochastic processes, are introduced and explained without proof in an appendix. The appendix can also be used independently as an introduction to stochastic calculus for statisticians. The statistical concepts are explained carefully so that probabilists with only a basic background in statistics can use the book to get into statistical inference for stochastic processes. Exercises are included to make the book useful for an advanced
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