Summary: MyMathLab(R) is a series of text-specific, easily customizable online courses for Prentice Hall textbooks in mathematics and statistics. Powered by CourseCompass (Pearson Education's online teaching and learning environment) and MathXL(R) (our online homework, tutorial, and assessment system), MyMathLab gives you the tools you need to deliver all or a portion of your course online, whether your students are in a lab setting or working from home. MyMathLab provides a rich and flexible set of course materials, featuring free-response exercises that are algorithmically generated for unlimited practice and mastery. Students can also use online tools, such as video lectures, animations, and a multimedia textbook, to independently improve their understanding and performance. Instructors can use MyMathLab's homework and test managers to select and assign online exercises correlated directly to the textbook, and they can also create and assign their own online exercises and import TestGen(R) tests for added flexibility.MyMathLab's online gradebook--designed specifically for mathematics and statistics--automatically tracks students' homework and test results and gives the instructor control over how to calculate final grades. Instructors can also add offline (paper-and-pencil) grades to the gradebook. MyStatLab, part of the MyMathLab series, includes all the great features of MyMathLab, but is customized for Prentice Hall textbooks in statistics. MyStatLab courses include essay questions that can be assigned for online tests and quizzes; Java applets; statistical software; and other resources designed specifically to help students succeed in statistics. MyMathLab is available to qualified adopters. For more information, visit www.mymathlab.com or contact your sales representative.

My Mathlab Student Version, 4th edition

Mathematics

Pearson Publications Company

Math Tip Card: Calculus and Statistics

Science & Math

Pearson Education Limited

In this high-level mathematical treatment, a distinguished Russian mathematician introduces the mathematical underpinnings of quantum statistics in a manner accessible to both mathematicians and physicists. The book is aimed primarily at mathematicians, however, who will need only an elementary grasp of quantum physics to appreciate the author's well-organized and clearly written presentation. Beginning with preliminary concepts in the theory of probability, the text opens with a discussion and complete proofs of the limit theorems used in the main sections of the book. Proceeding to preliminary concepts and general principles of quantum mechanics, it examines the basis of the computational methods of quantum statistics and illustrates the means to achieve the statisticians' most important initial task: the determination of the mean values of occupation numbers. In addition, the foundations of the statistics of photons and material particles receive ample review. Supplements to the concluding chapter on thermodynamics explore the distribution of a component and its energy, the principle of canonical averaging, symmetric functions on multidimensional surfaces, and other related topics.

Mathematical Foundations of Quantum Statistics (Dover Books on Mathematics)

Khinchin, A. Y.

Dover Publications

The effects of geometry and linear algebra on each other receive close attention in this examination of geometry’s correlation with other branches of math and science. In-depth discussions include a review of systematic geometric motivations in vector space theory and matrix theory; the use of the center of mass in geometry, with an introduction to barycentric coordinates; axiomatic development of determinants in a chapter dealing with area and volume; and a careful consideration of the particle problem. 1965 edition.

A Vector Space Approach to Geometry (Dover Books on Mathematics)

Hausner, Melvin

Excellent, well-written introductory text begins with the algebra of subsets and of rings and fields of sets. Placing the algebra of partial order within the context of topologic situations, it covers complementation and ideal theory in the distributive lattice, closure function, neighborhood topology, open and closed sets, topological maps, the derived set in T1-space and the topological product, and convergence in metrical space and convergence topology. Numerous exercises. 1960 edition. Prefaces. Index of Proper Names.

Set Topology (Dover Books on Mathematics)

Vaidyanathaswamy, R.

Group theory represents one of the most fundamental elements of mathematics. Indispensable in nearly every branch of the field, concepts from the theory of groups also have important applications beyond mathematics, in such areas as quantum mechanics and crystallography. Hans J. Zassenhaus, a pioneer in the study of group theory, has designed this useful, well-written, graduate-level text to acquaint the reader with group-theoretic methods and to demonstrate their usefulness as tools in the solution of mathematical and physical problems. Starting with an exposition of the fundamental concepts of group theory, including an investigation of axioms, the calculus of complexes, and a theorem of Frobenius, the author moves on to a detailed investigation of the concept of homomorphic mapping, along with an examination of the structure and construction of composite groups from simple components. The elements of the theory of p-groups receive a coherent treatment, and the volume concludes with an explanation of a method by which solvable factor groups may be split off from a finite group. Many of the proofs in the text are shorter and more transparent than the usual, older ones, and a series of helpful appendixes presents material new to this edition. This material includes an account of the connections between lattice theory and group theory, and many advanced exercises illustrating both lattice-theoretical ideas and the extension of group-theoretical concepts to multiplicative domains.

The Theory of Groups

Zassenhaus, Hans J.

Designed for use in a 1-semester course by seniors and beginning graduate students, this rigorous presentation explores practical methods of solving differential equations, plus the unifying theory underlying the mathematical superstructure. Topics include basic concepts, Fourier series, 2nd-order partial differential equations, wave equation, potential equation, heat equation, and more. Includes exercises. 1961 edition.

Introduction to Partial Differential Equations (Dover Books on Mathematics)

Greenspan, Donald

Extensive development of a number of topics central to topology, including elementary combinatorial techniques, Sperner's Lemma, the Brouwer Fixed Point Theorem, homotopy theory and the fundamental group, simplicial homology theory, the Hopf Trace Theorem, the Lefschetz Fixed Point Theorem, the Stone-Weierstrass Theorem, and Morse functions. Includes new section of solutions to selected problems.

Topological Methods in Euclidean Spaces (Dover Books on Mathematics)

Naber, Gregory L.

Graduate-level historical study is ideal for students intending to specialize in the topic, as well as those who only need a general treatment. Part I discusses traditional and symbolic logic. Part II explores the foundations of mathematics, emphasizing Hilbert's metamathematics. Part III focuses on the philosophy of mathematics.

Mathematical Logic and the Foundations of Mathematics: An Introductory Survey (Dover Books on Mathematics)

Kneebone, G. T.

This complete and coherent exposition, complemented by numerous illustrative examples, offers readers a text that can teach by itself. Fully rigorous in its treatment, it offers a mathematically sound sequencing of topics. The work starts with the most basic laws of matrix algebra and progresses to the sweep-out process for obtaining the complete solution of any given system of linear equations — homogeneous or nonhomogeneous — and the role of matrix algebra in the presentation of useful geometric ideas, techniques, and terminology.Other subjects include the complete treatment of the structure of the solution space of a system of linear equations, the most commonly used properties of determinants, and linear operators and linear transformations of coordinates. Considerably more material than can be offered in a one-semester course appears here; this comprehensive volume by Franz E. Hohn, Professor of Mathematics at the University of Illinois for many years, provides instructors with a wide range of choices in order to meet differing interests and to accommodate students with varying backgrounds.

Elementary Matrix Algebra (Dover Books on Mathematics)

HOHN, FRANZ E.

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