# Introduction to mathematical structures and proofs

by Larry J. Gerstein

Publisher: Springer, Publisher: Jones and Bartlett Publishers in New York, Sudbury, MA

Written in English ## Subjects:

• Logic, Symbolic and mathematical

## Edition Notes

Includes index.

Mathematical Proofs A Transition to Advanced Mathematics Gary Chartrand more abstract mathematics courses to follow, many colleges and universities have Contents and Structure Outline of Contents EachoftheChapters1–6and8–15isdividedintosections,andexercisesforeachsectionFile Size: 7MB. Introduction to Mathematical Structures and Proofs is a textbook intended for such a course, or for self-study. This book introduces an array of fundamental mathematical structures. It also explores the delicate balance of intuition and rigor―and the flexible thinking―required to prove a nontrivial result/5(6). Get this from a library! Introduction to mathematical structures and proofs. [Larry J Gerstein]. Mathematical structures Lund Preface I still remember a guy sitting on a couch, thinking very hard, and another Chapter 1 is devoted to a brief and informal introduction to set theory and mathe- proof of the fundamental theorem of Size: KB.

Discrete Mathematics combines a balance of theory and applications with mathematical rigor and an accessible writing style. The author uses a range of examples to teach core concepts, while corresponding exercises allow students to apply what they learn. Introduction to Mathematical Structures and Proofs | Reviews of the first edition: " Gerstein wants-very gently-to teach his students to think. He wants to show them how to wrestle with a problem (one that is more sophisticated than "plug and chug"), how to build a solution, and ultimately he wants to teach the students to take a statement and develop a way to prove it Gerstein writes with. structure of a program. Mathematical proofs are also constructed by combining certain basic proof mple,aproofofastatementoftheform“if P then Q”often uses what might be called the “suppose-until” structure: We suppose that P is true until we are able to reach the conclusion that Q is true, at which point weFile Size: 2MB.   Buy a cheap copy of Introduction to Mathematical Structures book by Larry J. Gerstein. Gerstein wants-very gently-to teach his students to think. He wants to show them how to wrestle with a problem (one that is more sophisticated than plug and Free shipping over \$/5(1).

Introduction x I Fundamentals 1. Sets 3 IntroductiontoSets 3 TheCartesianProduct 8 Subsets 11 Inwriting this book I have been motivated by the desire to create a about mathematical structures and to uncover further structures. All. If you are looking for a basic book on how to develop formal mathematical proofs, here are a couple of options that I've tried: * Daniel Solow's How to Read and Do Proofs . It's a little idiosyncratic (I have never seen his method of "forward. Get this from a library! Introduction to mathematical structures and proofs. [Larry J Gerstein] -- This is a textbook for a one-term course whose goal is to ease the transition from lower-division calculus courses to upper-division courses in linear and abstract algebra, real and complex analysis. Introduction to mathematical structures (book, Get this from a library! Introduction to mathematical structures. [Steven Galovich] introduction to mathematical : Introduction to Mathematical Structures and Proofs (Undergraduate Texts in Mathematics) () by Gerstein, Larry and a great selection of/5().

## Introduction to mathematical structures and proofs by Larry J. Gerstein Download PDF EPUB FB2

Introduction to Mathematical Structures and Proofs is a textbook intended for such a course, or for self-study. This book introduces an array of fundamental mathematical structures. It also explores the delicate balance of intuition and rigor—and the flexible Introduction to mathematical structures and proofs book to prove a nontrivial : Springer-Verlag New York.

Introduction to Mathematical Structures and Proofs is a textbook intended for such a course, or for self-study. This book introduces an array of fundamental mathematical structures. It also explores the delicate balance of intuition and rigor―and the flexible thinking―required to prove a nontrivial by: 6.

Galovich's specializations are algebraic number theory and algebra, and his interests include the nature of mathematics, Fermat's Last Theorem, and the history of mathematics.

Inhe won the Carl B. Allendoerfer Award for expository writing presented by the Mathematical Association of America for the paper "Products of sines and cosines" published in Mathematics by: 1. Usually dispatched within 3 to 5 business days. This is a textbook for a one-term course whose goal is to ease the transition from lower-division calculus courses to upper-division courses in linear and abstract algebra, real and complex analysis, number theory, topology, combinatorics, Brand: Springer-Verlag New York.

Introduction to Mathematical Structures and Proofs is a textbook intended for such a course, or for self-study. This book introduces an array of fundamental mathematical structures. It also explores the delicate balance of intuition and rigor?and the flexible thinking?required to. Introduction to Real Analysis (Dover Books on Mathematics) and millions of other books are available for Amazon by: 6.

Mathematical Logic and Proofs Book: Friendly Introduction to Mathematical Logic (Leary & Kristiansen) 1: Structures and Languages Expand/collapse global location Substitutions and Substitutability Last updated; Save as PDF Page ID ; Contributed by Christopher. Mathematical Logic and Proofs Book: Friendly Introduction to Mathematical Logic (Leary & Kristiansen) Front Matter.

However, if you want a book that is geared specifically for those who are just starting out with rigorous math and are still getting used to proofs, you might enjoy Journey into Mathematics: An Introduction to Proofs by Joseph Rotman.

Unlike some such books, it doesn't dwell on trivialities about logic and sets. AN INTRODUCTION TO MATHEMATICAL STRUCTURE Introduction In recent times, there has been considerable emphasis placed on the concept of mathematical structure.

One motivation for this is that it often happens that two apparently different topics are based on the same rules. Thus, if we assume that we accept only those consequencesFile Size: 3MB. Introduction to Mathematical Structures and Proofs book. Read 2 reviews from the world's largest community for readers.

This textbook is intended for a o /5. introduce the student to the basic mathematical structures through formal de nitions. Although we provide a rather formal treatment of rst order logic and mathematical induction, our objective is to move to more advanced classical mathematical structures and arguments as soon as the student has an adequate understanding of the logic under-File Size: 5MB.

Introduction to Mathematical Structures and Proofs is a textbook intended for such a course, or for self-study. This book introduces an array of fundamental mathematical structures. It also explores the delicate balance of intuition and rigor—and the flexible thinking—required to prove a nontrivial result.

Introduction to mathematical arguments. (background handout for courses requiring proofs) by Michael Hutchings. A mathematical proof is an argument which convinces other people that something is true. Math isn’t a court of law, so a “preponderance of the evidence” or “beyond any reasonable doubt” isn’t good enough.

This is a textbook for a one-term course whose goal is to ease the transition from lower-division calculus courses to upper-division courses in linear and abstract algebra, real and complex analysis, number theory, topology, combinatorics, and so on.

Without such a "bridge" course, most upper­. Reviewed by David Miller, Professor, West Virginia University on 4/18/ Comprehensiveness rating: 5 see less. This textbook is very comprehensive. Covers a basic review of sets and set operations, logic and logical statements, all the proof techniques, set theory proofs, relation and functions, and additional material that is helpful for upper-level proof course preparation (like a chapter /5(6).

Introduction viii I Fundamentals 1. Sets 3 IntroductiontoSets 3 TheCartesianProduct 8 Subsets 11 while teaching proofs courses over the past fourteen years at Virginia CommonwealthUniversity(alargestateuniversity)andRandolph-Macon about mathematical structures and to uncover further structures.

All. About this book Introduction This is a textbook for a one-term course whose goal is to ease the transition from lower-division calculus courses to upper-division courses in linear and abstract algebra, real and complex analysis, number theory, topology, combinatorics, and so on.

The author's first edition of "Introduction to Mathematical Structures and Proofs" has sold to date (8/2/) over copies and has gone through 5 printings. Gerstein himself has a transition.

And this brings me to the book under review, Larry Gerstein’s Introduction to Mathematical Structures and Proofs. Let me say first off, that given the realities on the ground, i.e. the state of affairs I vented about above, it’s quite a good entry in the given text-book competition.

Introduction to Mathematical Structures and Proofs is a textbook intended for such a course, or for self-study. This book introduces an array of fundamental mathematical structures.

It also explores the delicate balance of intuition and rigor-and the /5(12). Introduction This is a textbook for a one-term course whose goal is to ease the transition from lower-division calculus courses to upper-division courses in linear and abstract algebra, real and complex analysis, number theory, topology, combinatorics, and so on.

Koop Introduction to Mathematical Structures and Proofs van Gerstein, Larry J. met ISBN Gratis verzending, Slim studeren. Introduction to Mathematical Structures and Proofs is a textbook intended for such a course, or for self-study. This book introduces an array of fundamental mathematical structures.

It also explores the delicate balance of intuition and rigor―and the flexible thinking―required to prove a nontrivial result/5(11). The author's first edition of "Introduction to Mathematical Structures and Proofs" has sold to date (8/2/) over copies and has gone through 5 printings.

Gerstein himself has a transition course at UC, Santa Barbara (Math 8-A transition to higher mathematics) from. " Introduction to Mathematical Structures and Proofs by Larry J.

Gerstein A copy that has been read, but remains in clean condition. All pages are intact, and. Get this from a library. Introduction to mathematical structures and proofs.

[Larry J Gerstein] -- As a student moves from basic calculus courses into upper-division courses in linear and abstract algebra, real and complex analysis, number theory, topology, and so on, a "bridge" course can help.

Mathematical Reasoning: Writing and Proof is designed to be a text for the ﬁrst course in the college mathematics curriculum that introduces students to the pro-cesses of constructing and writing proofs and focuses on the formal development of mathematics. The primary goals of Cited by: 5.

Introduction to Mathematical Structures and Proofs is a textbook intended for such a course, or for self-study. This book introduces an array of fundamental mathematical structures. It also explores the delicate balance of intuition and rigor—and the Price: \$. Well, everyone has their very own factor why must review some e-books Introduction To Proteins: Structure, Function, And Motion (Chapman & Hall/CRC Mathematical And Computational Biology), By Amit Kessel, Nir Mainly, it will certainly connect to their need to obtain understanding from guide Introduction To Proteins: Structure, Function, And.Different structures are used for different purposes.

Suppose we think about a particular mathematical structure, for example \(\mathbb{R}^3\), the collection of ordered triples of real numbers. If we try to do plane Euclidean geometry in \(\mathbb{R}^3\), we fail miserably, as (for example) the parallel postulate is false in this structure.Introduction to mathematical structures and proofs.

[Larry J Gerstein] The book is well written and should be easily understandable to any beginning student."- S. Gottwald, ZentralblattThis textbook is intended for a one-term course whose goal is to ease the transition from lower-division calculus courses to upper-division courses in linear.