real infinite series mathematical association of america textbooks

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Real Infinite Series

Author : Daniel D. Bonar
ISBN : 0883857456
Genre : Mathematics
File Size : 34. 25 MB
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An introductory treatment of infinite series of real numbers, from basic definitions and tests to advanced results.

A Radical Approach To Real Analysis

Author : David M. Bressoud
ISBN : 0883857472
Genre : Mathematics
File Size : 72. 20 MB
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Second edition of this introduction to real analysis, rooted in the historical issues that shaped its development.

A Primer Of Real Functions

Author : Ralph P. Boas
ISBN : 088385029X
Genre : Mathematics
File Size : 25. 27 MB
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Revised edition of a classic Carus monograph with a new chapter on integration and its applications.

Theory And Application Of Infinite Series

Author : Konrad Knopp
ISBN : 9780486318615
Genre : Mathematics
File Size : 36. 9 MB
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Unusually clear and interesting classic covers real numbers and sequences, foundations of the theory of infinite series and development of the theory (series of valuable terms, Euler's summation formula, asymptotic expansions, other topics). Includes exercises.

Fourier Series

Author : Rajendra Bhatia
ISBN : 0883857405
Genre : Mathematics
File Size : 63. 13 MB
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This is a concise introduction to Fourier series covering history, major themes, theorems, examples, and applications. It can be used for self study, or to supplement undergraduate courses on mathematical analysis. Beginning with a brief summary of the rich history of the subject over three centuries, the reader will appreciate how a mathematical theory develops in stages from a practical problem (such as conduction of heat) to an abstract theory dealing with concepts such as sets, functions, infinity, and convergence. The abstract theory then provides unforeseen applications in diverse areas. Exercises of varying difficulty are included throughout to test understanding. A broad range of applications are also covered, and directions for further reading and research are provided, along with a chapter that provides material at a more advanced level suitable for graduate students.

Number Theory Through Inquiry

Author : David C. Marshall
ISBN : 9780883857519
Genre : Mathematics
File Size : 70. 29 MB
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This innovative textbook leads students on a carefully guided discovery of introductory number theory. The book has two equally significant goals. The first is to help students develop mathematical thinking skills, particularly theorem-proving skills. The other goal is to help students understand some of the wonderfully rich ideas in the mathematical study of numbers. This book is appropriate for a proof transitions course, for independent study, or for a course designed as an introduction to abstract mathematics. It is designed to be used with an instructional technique variously called guided discovery or Modified Moore Method or Inquiry Based Learning (IBL). Instructors' materials explain the instructional method, which gives students a totally different experience compared to a standard lecture course. Students develop an attitude of personal reliance and a sense that they can think effectively about difficult problems; goals that are fundamental to the educational enterprise within and beyond mathematics.

College Calculus

Author : Michael E. Boardman
ISBN : 9781939512062
Genre : Mathematics
File Size : 38. 81 MB
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College Calculus: A One-Term Course for Students with Previous Calculus Experience is a textbook for students who have successfully experienced an introductory calculus course in high school. College Calculus begins with a brief review of some of the content of the high school calculus course, and proceeds to give students a thorough grounding in the remaining topics in single variable calculus, including integration techniques, applications of the definite integral, separable and linear differential equations, hyperbolic functions, parametric equations and polar coordinates, L’Hôpital’s rule and improper integrals, continuous probability models, and infinite series. Each chapter concludes with several “Explorations,” extended discovery investigations to supplement that chapter’s material. The text is ideal as the basis of a course focused on the needs of prospective majors in the STEM disciplines (science, technology, engineering, and mathematics). A one-term course based on this text provides students with a solid foundation in single variable calculus and prepares them for the next course in college level mathematics, be it multivariable calculus, linear algebra, a course in discrete mathematics, statistics, etc.

Infinite Sequences And Series

Author : Konrad Knopp
ISBN : 9780486152042
Genre : Mathematics
File Size : 44. 53 MB
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Careful presentation of fundamentals of the theory by one of the finest modern expositors of higher mathematics. Covers functions of real and complex variables, arbitrary and null sequences, convergence and divergence, Cauchy's limit theorem, more.

Euler

Author : William Dunham
ISBN : 0883853280
Genre : Mathematics
File Size : 74. 60 MB
Format : PDF
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Leonhard Euler was one of the most prolific mathematicians that have ever lived. This book examines the huge scope of mathematical areas explored and developed by Euler, which includes number theory, combinatorics, geometry, complex variables and many more. The information known to Euler over 300 years ago is discussed, and many of his advances are reconstructed. Readers will be left in no doubt about the brilliance and pervasive influence of Euler's work.

Infinite Series

Author : Isidore Isaac Hirschman
ISBN : 9780486798240
Genre : Mathematics
File Size : 46. 23 MB
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Text for advanced undergraduate and graduate students examines Taylor series, Fourier series, uniform convergence, power series, and real analytic functions. Appendix covers set and sequence operations and continuous functions. 1962 edition.

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