Books in Mathematics general

Techniques of Functional Analysis for Differential and Integral Equations

1st Edition
April 25, 2017
Paul Sacks
English
Paperback
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eBook
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Techniques of Functional Analysis for Differential and Integral Equations describes a variety of powerful and modern tools from mathematical analysis, for graduate study and further research in ordinary differential equations, integral equations and partial differential equations. Knowledge of these techniques is particularly useful as preparation for graduate courses and PhD research in differential equations and numerical analysis, and more specialized topics such as fluid dynamics and control theory. Striking a balance between mathematical depth and accessibility, proofs involving more technical aspects of measure and integration theory are avoided, but clear statements and precise alternative references are given . The work provides many examples and exercises drawn from the literature.

Transcendental Curves in the Leibnizian Calculus

1st Edition
April 20, 2017
Viktor Blasjo
English
Paperback
9 7 8 0 1 2 8 1 3 2 3 7 1
eBook
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Transcendental Curves in the Leibnizian Calculus analyzes a mathematical and philosophical conflict between classical and early modern mathematics. In the late 17th century, mathematics was at the brink of an identity crisis. For millennia, mathematical meaning and ontology had been anchored in geometrical constructions, as epitomized by Euclid's ruler and compass. As late as 1637, Descartes had placed himself squarely in this tradition when he justified his new technique of identifying curves with equations by means of certain curve-tracing instruments, thereby bringing together the ancient constructive tradition and modern algebraic methods in a satisfying marriage. But rapid advances in the new fields of infinitesimal calculus and mathematical mechanics soon ruined his grand synthesis. Descartes's scheme left out transcendental curves, i.e. curves with no polynomial equation, but in the course of these subsequent developments such curves emerged as indispensable. It was becoming harder and harder to juggle cutting-edge mathematics and ancient conceptions of its foundations at the same time, yet leading mathematicians, such as Leibniz felt compelled to do precisely this. The new mathematics fit more naturally an analytical conception of curves than a construction-based one, yet no one wanted to betray the latter, as this was seen as virtually tantamount to stop doing mathematics altogether. The credibility and authority of mathematics depended on it.

Optimal Sports Math, Statistics, and Fantasy

1st Edition
April 6, 2017
Robert Kissell + 1 more
English
Hardback
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eBook
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Optimal Sports Math, Statistics, and Fantasy provides the sports community—students, professionals, and casual sports fans—with the essential mathematics and statistics required to objectively analyze sports teams, evaluate player performance, and predict game outcomes. These techniques can also be applied to fantasy sports competitions. Readers will learn how to: Accurately rank sports teams Compute winning probability Calculate expected victory margin Determine the set of factors that are most predictive of team and player performance Optimal Sports Math, Statistics, and Fantasy also illustrates modeling techniques that can be used to decode and demystify the mysterious computer ranking schemes that are often employed by post-season tournament selection committees in college and professional sports. These methods offer readers a verifiable and unbiased approach to evaluate and rank teams, and the proper statistical procedures to test and evaluate the accuracy of different models. Optimal Sports Math, Statistics, and Fantasy delivers a proven best-in-class quantitative modeling framework with numerous applications throughout the sports world.

Cryptographic Boolean Functions and Applications

2nd Edition
March 30, 2017
Thomas W. Cusick + 1 more
English
Paperback
9 7 8 0 1 2 8 1 1 1 2 9 1
eBook
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Cryptographic Boolean Functions and Applications, Second Edition is designed to be a comprehensive reference for the use of Boolean functions in modern cryptography. While the vast majority of research on cryptographic Boolean functions has been achieved since the 1970s, when cryptography began to be widely used in everyday transactions, in particular banking, relevant material is scattered over hundreds of journal articles, conference proceedings, books, reports and notes, some of them only available online. This book follows the previous edition in sifting through this compendium and gathering the most significant information in one concise reference book. The work therefore encompasses over 600 citations, covering every aspect of the applications of cryptographic Boolean functions. Since 2008, the subject has seen a very large number of new results, and in response, the authors have prepared a new chapter on special functions. The new edition brings 100 completely new references and an expansion of 50 new pages, along with heavy revision throughout the text.

Quantitative Techniques for the Analysis of Sediments

1st Edition
January 31, 2017
Daniel F Merriam
English
eBook
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Quantitative Techniques for the Analysis of Sediments: An International Symposium is a compilation of studies about the integration and application of statistics, mathematics, and computers in the field of sedimentology. The book includes 13 studies from different experts in the field of sedimentology. These studies discuss topics such as the analysis and management of systems suitable for sedimentological data; the different methods of analysis and the numerical classification of different sedimentological data; and the assessment of quantitative methods in comparing lithological succession data. Also included is the trend analysis of sedimentary thickness data; numerical classification of multi-variate petrographic presence-absence data by association analysis; and the mathematical modeling and statistical recognition of terrestrial and marine sediments. The text will interest those in the field of sedimentology and geology, especially those who are engaged in research and wish to be aided by the different techniques included.

A Course of Higher Mathematics

1st Edition
June 6, 2016
V. I. Smirnov
A. J. Lohwater
English
eBook
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Linear Algebra: A Course of Higher Mathematics, Volume III, Part I deals with linear algebra and the theory of groups that are usually found in theoretical physics. This volume discusses linear algebra, quadratic forms theory, and the theory of groups. The properties of determinants are discussed for determinants offer the solution of systems of equations. Cramer's theorem is used to find the solution of a system of linear equations that has as many equations as unknowns. Linear transformations and quadratic forms, for example, coordinate transformation in three-dimensional space and general linear transformation of real three-dimensional space, are considered. The formula for n-dimensional complex space and the transformation of a quadratic form to a sum of squares are analyzed. The latter is explained by using Jacobi's formula to arrive at a significant form of the reduction of a quadratic form to a sum of squares. The basic theory of groups, linear representations of groups, and the theory of partial differential equations that is the basis of the formation of groups with given structural constants are explained. This book is recommended for mathematicians, students, and professors in higher mathematics and theoretical physics.

Tables of The Legendre Functions P—½+it(x)

1st Edition
June 6, 2016
M. I. Zhurina + 1 more
English
eBook
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Tables of the Legendre Functions P–½+iτ (X), Part I tabulates in detail the Legendre spherical functions of the first kind Pv(x) with complex index v = – ½ + iτ and real values of X > – 1. P–½+iτ (X) plays an important role in mathematical physics and are used in solving boundary value problems in potential theory for domains bounded by cones, hyperboloids of revolution, two intersecting spheres, or other second order surfaces. These Legendre functions are also of theoretical interest in connection with the Meler-Fok integral expansion. This book is devoted to the tables of P–½+iτ (X) and coefficients in the asymptotic formula. Some properties of the functions P–½+iτ (X) and description of the tables are also discussed. This publication is a good source for mathematical physicists and students conducting work on Legendre functions P–½+iτ (X).

A Collection of Problems in Analytical Geometry

1st Edition
June 6, 2016
D. V. Kletenik
W. J. Langford + 1 more
English
eBook
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A Collection of Problems in Analytical Geometry, Part I: Analytical Geometry in the Plane is a collection of problems dealing with higher analytical geometry. The book discusses elementary problems dealing with plane analytical geometry. The text presents topics on the axis and intervals on an axis and coordinates on a straight line. The book also defines what a rectangular Cartesian coordinates in a plane is, the division of an interval in a given ratio, and shows how to calculate the area of a triangle. The equation of a curve, the functions of two variables, and the concept of an equation of a curve are explained by the use of examples and problems. The author also addresses the geometrical properties of curves of the second order, the equations of a straight line, a circle, an ellipse, a hyperbola, and a parabola. The text then discusses the general theory of second-order curves and emphasizes the equations of the central curves of the second order. The author cites the simplification of these equations as being applicable to theoretical mechanics. This collection of problems can be used by teachers of analytical geometry and their students.

A Collection of Problems in Analytical Geometry

1st Edition
June 6, 2016
D. V. Kletenik
W. J. Langford + 1 more
English
eBook
9 7 8 1 4 8 3 1 5 5 9 2 0

A Collection of Problems in Analytical Geometry, Part II: Three-Dimensional Analytical Geometry is a collection of problems dealing with analytical geometry in the field of theoretical mechanics. The book discusses rectangular Cartesian coordinates in three-dimensional space and the division of an interval in a given ratio. The sample questions concern problems dealing with isosceles triangles, vertices, and center of gravity of equal masses. The book defines the concept of a vector and then lists problems concerning the triangle law and the scalar product of two vectors. Other problems focus on the equations of a surface and a curve and on questions related to the intersection of three surfaces. The text lists other problems such as the equation of a plane, the direction-vector of a straight line, and miscellaneous problems pertaining to the equations of a plane, of a straight line, and of a sphere in a direction-vector. The selection is useful for professors in analytical geometry and for other courses in physic-mathematics and general engineering.

Exploring University Mathematics

1st Edition
June 6, 2016
Mary Bradburn + 2 more
N. J. Hardiman
English
eBook
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Exploring University Mathematics, Volume 3 provides information pertinent to pure and applied mathematics. This book discusses the close relationship between mathematics and physics. Organized into seven chapters, this volume begins with an overview of the concept of mapping in mathematics, which provides a correspondence between elements of one set with elements of another. This text then examines the theory of inflatable structures in the study of the hovercrafs in two dimensions. Other chapters consider the explicit investigation of logic by mathematicians whereby mathematics has been conceived as pre-eminently a deductive science. This book discusses as well how Taylor's formula is used in various aspects, including integration, approximating functions, finding roots of algebraic equations, and solving differential equations in forms suitable for computer calculations. This book is intended to be suitable for students on a degree course in mathematics. Mathematicians, teachers, and research workers will also find this book extremely useful.

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Books in Mathematics general

Techniques of Functional Analysis for Differential and Integral Equations

Transcendental Curves in the Leibnizian Calculus

Optimal Sports Math, Statistics, and Fantasy

Cryptographic Boolean Functions and Applications

Quantitative Techniques for the Analysis of Sediments

A Course of Higher Mathematics

Tables of The Legendre Functions P—½+it(x)

A Collection of Problems in Analytical Geometry

A Collection of Problems in Analytical Geometry

Exploring University Mathematics