Calculus and Statistics

Science & Math

Michael C. Gemignani

Mathematics

Addison-Wesley Educational Publishers Inc.,U.S.

Intended as a first look at mathematics at the college level, this text emphasizes logic and the theory of sets, covering a well-chosen selection of important topics in significant depth. Students who take no further courses in the field will find this volume an excellent resource for developing an appreciation for the nature of mathematics and the processes of mathematical thought. Others who undertake further courses in mathematics will discover the foundations for their future studies — specifically, set theory, logic, counting, numbers, functions, ordering, probabilities, and other components of higher mathematics. In keeping with the author's view that the initiation into a discipline should focus on a few well-chosen topics rather than offering an extensive but superficial survey, this text covers fewer subjects than many other introductions to college-level mathematics. All of the topics discussed here are important, however, and they are covered in greater depth, with more motivation, and with greater rigor than is customary at the introductory level.

Basic Concepts of Mathematics and Logic (Dover Books on Mathematics)

Dover Publications

This clearly written, well-illustrated text makes calculus understandable even for the rank beginner. It is geared toward undergraduate business and social science students rather than math majors; the only background necessary is high-school level algebra and a little familiarity with analytic geometry. Topics include sets, functions, and graphs; limits and continuity; special functions; the derivative and its uses; the definite integral and further methods and applications of integration; and the functions of several variables. User-friendly features include reviews at the end of each chapter and exercises on different levels; answers to more than half of the problems appear in the appendix. 1972 edition.

Calculus: A Short Course (Dover Books on Mathematics)

Self-contained and suitable for undergraduate students, this text offers a working knowledge of calculus and statistics. It assumes only a familiarity with basic analytic geometry, presenting a coordinated study that develops the interrelationships between calculus, probability, and statistics. Starting with the basic concepts of function and probability, the text addresses some specific probabilities and proceeds to surveys of random variables and graphs, the derivative, applications of the derivative, sequences and series, and integration. Additional topics include the integral and continuous variates, some basic discrete distributions, as well as other important distributions, hypothesis testing, functions of several variables, and regression and correlation. The text concludes with an appendix, answers to selected exercises, a general index, and an index of symbols.

Calculus and Statistics (Dover Books on Mathematics)

Topology is one of the most rapidly expanding areas of mathematical thought: while its roots are in geometry and analysis, topology now serves as a powerful tool in almost every sphere of mathematical study. This book is intended as a first text in topology, accessible to readers with at least three semesters of a calculus and analytic geometry sequence. In addition to superb coverage of the fundamentals of metric spaces, topologies, convergence, compactness, connectedness, homotopy theory, and other essentials, Elementary Topology gives added perspective as the author demonstrates how abstract topological notions developed from classical mathematics. For this second edition, numerous exercises have been added as well as a section dealing with paracompactness and complete regularity. The Appendix on infinite products has been extended to include the general Tychonoff theorem; a proof of the Tychonoff theorem which does not depend on the theory of convergence has also been added in Chapter 7.

Elementary Topology: Second Edition (Dover Books on Mathematics)

Introduction to Real Analysis [Apr 05, 1971] Gemignani, Michael C.

Introduction to real analysis

Saunders

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