Undergraduate Texts in Mathematics

出版社:

Springer

册数: 91

简介　· · · · · ·　

Undergraduate Texts in Mathematics provide introductions to the diverse sub-fields of mathematics. Generally aimed at third- and fourth-year undergraduate mathematics students at American universities, these texts often provide both students and teachers with new perspectives on the material. Even for standard topics of the undergraduate curriculum, most of these books provide novel approaches and insights. As effective tools for teaching, the books include motivation to guide the reader to see the internal connections of the subject, examples to show the concrete manifestations of the concepts, and many exercises at all levels of difficulty to test and strengthen understanding.

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75人想读 / 27人读过

Linear Algebra Done Right

作者: Sheldon Axler
出版社: Springer
出版年: 1997-07-18

This text for a second course in linear algebra, aimed at math majors and graduates, adopts a novel approach by banishing determinants to the end of the book and focusing on understanding the structure of linear operators on vector spaces. The author has taken unusual care... (全部)

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28人想读 / 26人读过

Naive Set Theory

作者: P. R. Halmos
出版社: Springer
出版年: 1998-1-16

From the Reviews: .,."He (the author) uses the language and notation of ordinary informal mathematics to state the basic set-theoretic facts which a beginning student of advanced mathematics needs to know. ...Because of the informal method of presentation, the book is emine... (全部)

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32人想读 / 5人读过

Elementary Probability Theory with Stochastic Processes

作者: Kai Lai Chung
出版社: Springer
出版年: 1979-12

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18人想读 / 5人读过

Mathematical Logic (Undergraduate Texts in Mathematics)

作者: H.-D. Ebbinghaus
出版社: Springer
出版年: 1996-11-15

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18人想读 / 5人读过

Mathematics and Its History

作者: [美]John Stillwell
出版社: Springer
出版年: 2010-08-02

From the reviews of the third edition: "The author’s goal for Mathematics and its History is to provide a “bird’s-eye view of undergraduate mathematics.” (p. vii) In that regard it succeeds admirably. ... Mathematics and its History is a joy to read. The writing is clear, concise an... From the reviews of the third edition: "The author’s goal for Mathematics and its History is to provide a “bird’s-eye view of undergraduate mathematics.” (p. vii) In that regard it succeeds admirably. ... Mathematics and its History is a joy to read. The writing is clear, concise and inviting. The style is very different from a traditional text. ... The author has done a wonderful job of tying together the dominant themes of undergraduate mathematics. ... While Stillwell does a wonderful job of tying together seemingly unrelated areas of mathematics, it is possible to read each chapter independently. I would recommend this fine book for anyone who has an interest in the history of mathematics. For those who teach mathematics, it provides lots of information which could easily be used to enrich an opening lecture in most any undergraduate course. It would be an ideal gift for a department’s outstanding major or for the math club president. Pick it up at your peril — it is hard to put down!" (Richard Wilders, MAA Reviews) From the reviews of the second edition: "This book covers many interesting topics not usually covered in a present day undergraduate course, as well as certain basic topics such as the development of the calculus and the solution of polynomial equations. The fact that the topics are introduced in their historical contexts will enable students to better appreciate and understand the mathematical ideas involved...If one constructs a list of topics central to a history course, then they would closely resemble those chosen here." (David Parrott, Australian Mathematical Society) "The book...is presented in a lively style without unnecessary detail. It is very stimulating and will be appreciated not only by students. Much attention is paid to problems and to the development of mathematics before the end of the nineteenth century... This book brings to the non-specialist interested in mathematics many interesting results. It can be recommended for seminars and will be enjoyed by the broad mathematical community." (European Mathematical Society) "Since Stillwell treats many topics, most mathematicians will learn a lot from this book as well as they will find pleasant and rather clear expositions of custom materials. The book is accessible to students that have already experienced calculus, algebra and geometry and will give them a good account of how the different branches of mathematics interact." (Denis Bonheure, Bulletin of the Belgian Society) (全部)

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16人想读 / 4人读过

Mathematics and its History

作者: John Stillwell
出版社: Springer
出版年: 2001-11-29

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12人想读 / 8人读过

Basic Topology

作者: M.A. Armstrong
出版社: Springer
出版年: 1983-7-5

In This Broad Introduction To Topology, The Author Searches For Topological Invariants Of Spaces, Together With Techniques For Calculating Them. Students With Knowledge Of Real Analysis, Elementary Group Theory, And Linear Algebra Will Quickly Become Familiar With A ... (全部)

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14人想读 / 5人读过

Mathematical Analysis

作者: Andrew Browder
出版社: Springer
出版年: 1995-12-15

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17人想读 / 2人读过

Lecture Notes on Elementary Topology and Geometry (Undergraduate Texts in Mathematics)

作者: I. M. Singer
出版社: Springer
出版年: 1976-12-10

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8人想读 / 10人读过

Understanding Analysis

作者: Stephen Abbott
出版社: Springer
出版年: 2002-07-12

This book outlines an elementary, one-semester course which exposes students to both the process of rigor, and the rewards inherent in taking an axiomatic approach to the study of functions of a real variable. The aim of a course in real analysis should be to challenge and imp... (全部)

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Undergraduate Texts in Mathematics

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简介　· · · · · ·　