Books [Dariush Alimohammadi, Mary K. Bolin] Mathematics for Classical Information Retrieval: Roots and Applications
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This book is about Information Retrieval (IR), particularly Classical Information Retrieval (CIR). It looks at these topics through their mathematical roots. The mathematical bases of CIR are briefly reviewed, followed by the most important and interesting models of CIR, including Boolean, Vector Space, and Probabilistic. The primary goal of book is to create a context for understanding the principles of CIR by discussing its mathematical bases.
Mathematics is a foundation and building block of all areas of knowledge. It particularly affects disciplines concerned with information organization, storage, retrieval, and exchange...
Books [John K. Hunter, Bruno Nachtergaele] Applied Analysis
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“The presentation is clear and proofs for most of the results used are given … The book is accessible to students from a wide variety of backgrounds and has as prerequisites only basic calculus, linear algebra and ordinary differential equations.” Mathematical Reviews This book provides an introduction to those parts of analysis that are most useful in applications for graduate students. The material is selected for use in applied problems, and is presented clearly and simply but without sacrificing mathematical rigor. The text is accessible to students from a wide variety of backgrounds, including undergraduate students entering...
Books [Peter J. Olver, Chehrzad Shakiban] Applied Linear Algebra
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This textbook develops the essential tools of linear algebra, with the goal of imparting technique alongside contextual understanding. Applications go hand-in-hand with theory, each reinforcing and explaining the other. This approach encourages students to develop not only the technical proficiency needed to go on to further study, but an appreciation for when, why, and how the tools of linear algebra can be used across modern applied mathematics.
Providing an extensive treatment of essential topics such as Gaussian elimination, inner products and norms, and eigenvalues and singular values, this text can be used for an in-depth...
Books [Vasilios N. Katsikis] Applied Linear Algebra in Action
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Books [Arak Mathai, Hans J. Haubold] Linear Algebra: A Course for Physicists and Engineers
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In order not to intimidate students by a too abstract approach, this textbook on linear algebra is written to be easy to digest by non-mathematicians. It introduces the concepts of vector spaces and mappings between them without dwelling on statements such as theorems and proofs too much. It is also designed to be self-contained, so no other material is required for an understanding of the topics covered.
As the basis for courses on space and atmospheric science, remote sensing, geographic information systems, meteorology, climate and satellite communications at UN-affiliated regional centers, various applications of the formal...
Books [Kaisa Taipale] Introduction to Mathematical Finance
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Books [Charles L. Byrne] Applied and Computational Linear Algebra: A First Course
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Books [Sekhon, Bloom] Applied Finite Mathematics
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Applied Finite Mathematics covers topics including linear equations, matrices, linear programming, the mathematics of finance, sets and counting, probability, Markov chains, and game theory. Finite Math covers a variety of topics united by their focus on mathematical techniques used in business applications. The growing field of “business analytics” encompasses many types of applications; the topics we learn give insight to some methods used in industry, although we will explore them on a smaller scale. Topics include linear models and optimization, probability and related models, exponential models and financial...
Books [Roberta Bloom, Rupinder Sekhon] Applied Finite Mathematics
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Books [James Nearing] Mathematical Tools for Physics
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Having the right answer doesn't guarantee understanding. This book helps physics students learn to take an informed and intuitive approach to solving problems. It assists undergraduates in developing their skills and provides them with grounding in important mathematical methods.
Starting with a review of basic mathematics, the author presents a thorough analysis of infinite series, complex algebra, differential equations, and Fourier series. Succeeding chapters explore vector spaces, operators and matrices, multivariable and vector calculus, partial differential equations, numerical and complex analysis, and tensors. Additional...
Books [Herbert S. Wilf] Mathematics for the Physical Sciences
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This book offers advanced undergraduates and graduate students in physics, engineering, and other natural sciences a solid foundation in several fields of mathematics. Clear and well-written, it assumes a previous knowledge of the theory of functions of real and complex variables, and is ideal for classroom use, self-study, or as a supplementary text.
Starting with vector spaces and matrices, the text proceeds to orthogonal functions; the roots of polynomial equations; asymptotic expansions; ordinary differential equations; conformal mapping; and extremum problems. Each chapter goes straight to the heart of the matter, developing...
Books [W.J.R.H Pooler] Elementary Mathematics for Engineers
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Books [OP-TEC] Essential Mathematics for Engineering Technicians
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This book explains mathematical jargon and develops the formulae used by engineers from first principles. The first chapter is a summary so the reader can quickly see where further study is needed. The book is in two parts, pure and applied.
The principal goal of this book is to provide the reader with a comprehensive knowledge of fundamental concepts and methods of applied mathematics used in different engineering disciplines. Each topic is covered in great detail, followed by several meticulously worked-out examples, as well as a problem set containing a large number of additional related exercises.
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Books [Michael Batty] Essential Engineering Mathematics
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This textbook covers topics such as functions, single variable calculus, multivariate calculus, differential equations and complex functions. The necessary linear algebra for multivariate calculus is also outlined. More advanced topics which have been omitted, but which you will certainly come across, are partial differential equations, Fourier transforms and Laplace transforms.
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Books [MIT OpenCourseWare] Mathematics For Computer Science
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Books [Eric Lehman] Mathematics for Computer Science
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This book covers elementary discrete mathematics for computer science and engineering. It emphasizes mathematical definitions and proofs as well as applicable methods. Topics include formal logic notation, proof methods; induction, well-ordering; sets, relations; elementary graph theory; integer congruences; asymptotic notation and growth of functions; permutations and combinations, counting principles; discrete probability. Further selected topics may also be covered, such as recursive definition and structural induction; state machines and invariants; recurrences; generating functions.
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Books [Lehman, Leighton, and Meyer] Mathematics for Computer Science
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This text serves as an introduction to discrete mathematics, probability, and mathematical thinking for computer scientists. This subject offers an interactive introduction to discrete mathematics oriented toward computer science and engineering. The subject coverage divides roughly into thirds:
- Fundamental concepts of mathematics: Definitions, proofs, sets, functions, relations.
- Discrete structures: graphs, state machines, modular arithmetic, counting.
- Discrete probability theory.
Books [Edward A. Bender & S. Gill Williamson] Lectures In Discrete Mathematics
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Books [Edward A. Bender & S. Gill Williamson] Mathematics for Algorithm and Systems Analysis
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Books [Oliver Knill] Probability Theory and Stochastic Processes with Applications
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Chapter 1-2 of this text covers material of a basic probability course. Chapter 3 deals with discrete stochastic processes including Martingale theory. Chapter 4 covers continous time stochastic processes like Brownian motion and stochastic differential equations. The last chapter selected topics got considerably extended in the summer of 2006. In the original course, only localization and percolation problems were included. Now, more topic like estimation theory, Vlasov dynamics, multi-dimensional moment problems, random maps, circle-valued random variables, the geometry of numbers, Diophantine equations and harmonic analysis...
Books [Patrick Roger] Probability for Finance
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This book provides technical support for students in finance. It reviews the main probabilistic tools used in financial models in a pedagogical way, starting from simple concepts like random variables and tribes and going to more sophisticated ones like conditional expectations and limit theorems. Many illustrations are given, taken from the financial literature. The book is also a prerequisite for “Stochastic Processes for Finance” published in the same collection.
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Books [Jonathan Block] Stochastic Processes and the Mathematics of Finance
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Books [Michael J. Kozdron] Stochastic Calculus with Applications to Finance
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Books [Patrick Roger] Stochastic Processes for Finance
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This book is an extension of Probability for Finance to multi-period financial models, either in the discrete or continuous-time framework. It describes the most important stochastic processes used in finance in a pedagogical way, especially Markov chains, Brownian motion and martingales. It also shows how mathematical tools like filtrations, Ito's lemma or Girsanov theorem should be understood in the framework of financial models. It also provides many illustrations coming from the financial literature.
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Бизнес [НИИДПО] Виды господдержки сельхозпроизводителей и основные документы (2024)
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