FREE E-BOOK LITERATURE CATALOG AND SILABUS DOWNLOADS: Mathematics / Statistics Books

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L.P. Lebedev, I.I. Vorovich and G.M. Gladwell, "Functional Analysis: Applications in Mechanics and Inverse Problems"

L.P. Lebedev, I.I. Vorovich and G.M. Gladwell, "Functional Analysis: Applications in Mechanics and Inverse Problems" Summary:

This is a book for people who want to use functional analysis to justify approximate methods in Mechanics and Inverse Problems. It provides such researchers with the tools they need without having to assimilate or skip through concepts they do not need. For the applied mathematician, the essential difficulty attending the study of functional analysis is that the pure mathematicians who have developed the field have carried the process of abstraction, which is the essence of functional analysis, to increasingly higher levels. In this book, the authors have kept the level of abstraction high enough for the majority of applications, and have resisted the temptation to abstract to the limit.

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The Concepts and Practice of Mathematical Finance (Mathematics, Finance and Risk)

The Concepts and Practice of Mathematical Finance (Mathematics, Finance and Risk) Summary:

Press; 2nd edition (November 17, 2008) | ISBN: 0521514088 | 538 pages | PDF | 2.3 MB

An ideal introduction for those starting out as practitioners of mathematical finance, this book provides a clear understanding of the intuition behind derivatives pricing, how models are implemented, and how they are used and adapted in practice. Strengths and weaknesses of different models, e.g. Black-Scholes, stochastic volatility, jump-diffusion and variance gamma, are examined. Both the theory and the implementation of the industry-standard LIBOR market model are considered in detail. Each pricing problem is approached using multiple techniques including the well-known PDE and martingale approaches. This second edition contains many more worked examples and over 200 exercises with detailed solutions. Extensive appendices provide a guide to jargon, a recap of the elements of probability theory, and a collection of computer projects. The author brings to this book a blend of practical experience and rigorous mathematical background and supplies here the working knowledge needed to become a good quantitative analyst.

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The Concepts of Mathematical Finance: v0.31

The Concepts of Mathematical Finance: v0.31 Summary:

The author allows the reader as often as possible to get an intuition for the models and concepts. Helpful information is given on how to use and implement these models and concepts in practical terms. This practice-orientation makes this book different from others belonging to this category ... the text is also well suited as a textbook for a quantitative-oriented introductory course on finance at universities or other academic institutions ... one can say that this introductory book in offering a well balanced and up-to-date introduction to the theory and practice of mathematical finance overshadows many other books available on the same subject.

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Geza Schay, "Introduction to Probability with Statistical Applications"

Geza Schay, "Introduction to Probability with Statistical Applications" Summary:

This textbook is an introduction to probability and statistics for non-mathematics majors who do not need the exhaustive detail and mathematical depth provided in more comprehensive treatments of the subject. The presentation covers the mathematical laws of random phenomena, including discrete and continuous random variables, expectation and variance, and common probability distributions such as the binomial, Poisson, and normal distributions. Main statistical concepts considered are point and interval estimates, hypothesis testing, power function, various statistical tests: z, t, chi-square and Kolmogorov-Smirnov.

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On a Class of Incomplete Gamma Functions with Applications by M. Aslam Chaudhry

On a Class of Incomplete Gamma Functions with Applications by M. Aslam Chaudhry Summary:

Publisher: Chapman and Hall/CRC; 1 edition (August 21, 2001) | ISBN: 1584881437 | Pages: 512 | DJVU | 5.12 MB

The subject of special functions is rich and expanding continuously with the emergence of new problems encountered in engineering and applied science applications. The development of computational techniques and the rapid growth in computing power have increased the importance of the special functions and their formulae for analytic representations. However, problems remain, particularly in heat conduction, astrophysics, and probability theory, whose solutions seem to defy even the most general classes of special functions.On a Class of Incomplete Gamma Functions with Applications introduces a class of special functions, developed by the authors, useful in the analytic study of several heat conduction problems. It presents some basic properties of these functions, including their recurrence relations, special cases, asymptotic representations, and integral transform relationships. The authors explore applications of these generalized functions to problems in transient heat conduction, special cases of laser sources, and problems associated with heat transfer in human tissues. They also discuss applications to astrophysics, probability theory, and other problems in theory of functions and present a fundamental solution to time-dependent laser sources with convective-type boundary conditions. Appendices include an introduction to heat conduction, Fourier conduction, a table of Laplace transforms, and well-known results regarding the improper integrals. Filled with tabular and graphical representations for applications, this monograph offers a unique opportunity to add to your mathematical toolbox a new and useful class of special functions.

on class of incomplete gamma functions with applications,

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"Basic Engineering Mathematics, 4th Edition"

"Basic Engineering Mathematics, 4th Edition" Summary:

Publisher: Newnes | 2005 | 304 pages | ISBN: 0750665750 | PDF | 5,4 MB

Unlike most engineering maths texts, this book does not assume a firm grasp of GCSE maths, and unlike low-level general maths texts, the content is tailored specifically for the needs of engineers. The result is a unique book written for engineering students, which takes a starting point below GCSE level. Basic Engineering Mathematics is therefore ideal for students of a wide range of abilities, and especially for those who find the theoretical side of mathematics difficult.

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Graduate Studies in Mathematics Topics in Differential Geometry

Topics in Differential Geometry (Graduate Studies in Mathematics) Summary:

Publisher: American Mathematical Society | ISBN 10: 0821820036 | 2008 | PDF | 494 pages | 3.1 MB

This book treats the fundamentals of differential geometry: manifolds, flows, Lie groups and their actions, invariant theory, differential forms and de Rham cohomology, bundles and connections, Riemann manifolds, isometric actions, and symplectic and Poisson geometry. The layout of the material stresses naturality and functoriality from the beginning and is as coordinate-free as possible. Coordinate formulas are always derived as extra information. Some attractive unusual aspects of this book are as follows: Initial submanifolds and the Frobenius theorem for distributions of nonconstant rank (the Stefan-Sussman theory) are discussed. Lie groups and their actions are treated early on, including the slice theorem and invariant theory. De Rham cohomology includes that of compact Lie groups, leading to the study of (nonabelian) extensions of Lie algebras and Lie groups. The Frolicher-Nijenhuis bracket for tangent bundle valued differential forms is used to express any kind of curvature and second Bianchi identity, even for fiber bundles (without structure groups). Riemann geometry starts with a careful treatment of connections to geodesic structures to sprays to connectors and back to connections, going via the second and third tangent bundles. The Jacobi flow on the second tangent bundle is a new aspect coming from this point of view. Symplectic and Poisson geometry emphasizes group actions, momentum mappings, and reductions. This book gives the careful reader working knowledge in a wide range of topics of modern coordinate-free differential geometry in not too many pages. A prerequisite for using this book is a good knowledge of undergraduate analysis and linear algebra.

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Ordinary and Partial Differential Equations

Ordinary and Partial Differential Equations Summary:

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Handbook of Fitting Statistical Distributions with R

Handbook of Fitting Statistical Distributions with R Summary:

Ch..man and H-ll/C.RC | 2010 | ISBN: 1584887117 | 1718 pages | PDF | 33,3 MB

With the development of new fitting methods, their increased use in applications, and improved computer languages, the fitting of statistical distributions to data has come a long way since the introduction of the generalized lambda distribution (GLD) in 1969. Handbook of Fitting Statistical Distributions with R presents the latest and best methods, algorithms, and computations for fitting distributions to data. It also provides in-depth coverage of cutting-edge applications. The book begins with commentary by three GLD pioneers: John S. Ramberg, Bruce Schmeiser, and Pandu R. Tadikamalla. These leaders of the field give their perspectives on the development of the GLD. The book then covers GLD methodology and Johnson, kappa, and response modeling methodology fitting systems. It also describes recent additions to GLD and generalized bootstrap methods as well as a new approach to goodness-of-fit assessment. The final group of chapters explores real-world applications in agriculture, reliability estimation, hurricanes/typhoons/cyclones, hail storms, water systems, insurance and inventory management, and materials science. The applications in these chapters complement others in the book that deal with competitive bidding, medicine, biology, meteorology, bioassays, economics, quality management, engineering, control, and planning.

New results in the field have generated a rich array of methods for practitioners. Making sense of this extensive growth, this comprehensive and authoritative handbook improves your understanding of the methodology and applications of fitting statistical distributions. The accompanying CD-ROM includes the R programs used for many of the computations.

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Schaum's Outline of Set Theory and Related Topics

Schaum's Outline of Set Theory and Related Topics Summary:

If you want top grades and thorough understanding of set theory and related topics, this powerful study tool is the best tutor you can have! It takes you step-by-step through the subject and gives you 530 accompanying related problems with fully worked solutions. You also get plenty of practice problems to do on your own, working at your own speed. (Answers at the back show you how you're doing.) This new edition features improved problems in the ordinals, cardinals, and transfinite series chapters, plus new coverage of real numbers and integers.

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Applied Differential Geometry

Applied Differential Geometry Summary:

Publisher: C U P 1985 | 436 Pages | ISBN: 0521269296 , 0521263174 | DJVU | 2 MB

This is a self-contained introductory textbook on the calculus of differential forms and modern differential geometry. The intended audience is physicists, so the author emphasises applications and geometrical reasoning in order to give results and concepts a precise but intuitive meaning without getting bogged down in analysis. The large number of diagrams helps elucidate the fundamental ideas. Mathematical topics covered include differentiable manifolds, differential forms and twisted forms, the Hodge star operator, exterior differential systems and symplectic geometry. All of the mathematics is motivated and illustrated by useful physical examples.

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Ultimate Mental Challenge (Mensa Publications)

Ultimate Mental Challenge (Mensa Publications) Summary:

B.rnes & N.ble Books | 1995 | ISBN: 1566199778 | 304 pages | PDF | 10 MB

Over 500 differfent puzzles and tests

designed to give your brain the

ultimate workout! No special skills are needed to tackle

these fiendish puzzles beyond common

sense, logic, a little general knowledge

and a tenacious will not to give up.

This is the biggest and toughest collection

of riddles, word games, number puzzles,

mazes and logic problems that the boffins

at Mensa have ever produced. So put on

your thinking cap and have some fun

working these out. These puzzles are by

no means easy, and if you can work them

out you may be a candidate to join Mensa

- the internationally famous high

IQ society.

• Over 500 opportunities to test your

mental agility with lateral thinking

puzzles, visual conundrums, fiendish

riddles, and impossible brain twisters.

• Puzzles are graded in three sections -

easy, medium, and mind-bogglingly hard.

• Features The Mind Maze- a series of

puzzles linked by a story. The right

answer leads you on to the next puzzle,

but get it wrong and you'll wind up in a

dead end!

• Complete answers and explanations

given for all the puzzles.

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Theory of Rank Tests, Second Edition

Theory of Rank Tests, Second Edition Summary:

The first edition of Theory of Rank Tests (1967) has been the precursor to a unified and theoretically motivated treatise of the basic theory of tests based on ranks of the sample observations. For more than 25 years, it helped raise a generation of statisticians in cultivating their theoretical research in this fertile area, as well as in using these tools in their application oriented research. The present edition not only aims to revive this classical text by updating the findings but also by incorporating several other important areas which were either not properly developed before 1965 or have gone through an evolutionary development during the past 30 years. This edition therefore aims to fulfill the needs of academic as well as professional statisticians who want to pursue nonparametrics in their academic projects, consultation, and applied research works.

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