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Analysis With An Introduction To Proof

Analysis With An Introduction To Proof
Author: Steven R. Lay
Publisher: Pearson
ISBN: 0321998146
Size: 52.51 MB
Format: PDF, Kindle
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This is the eBook of the printed book and may not include any media, website access codes, or print supplements that may come packaged with the bound book. For courses in undergraduate Analysis and Transition to Advanced Mathematics. Analysis with an Introduction to Proof, Fifth Edition helps fill in the groundwork students need to succeed in real analysis—often considered the most difficult course in the undergraduate curriculum. By introducing logic and emphasizing the structure and nature of the arguments used, this text helps students move carefully from computationally oriented courses to abstract mathematics with its emphasis on proofs. Clear expositions and examples, helpful practice problems, numerous drawings, and selected hints/answers make this text readable, student-oriented, and teacher- friendly.
Analysis with an Introduction to Proof
Language: en
Pages: 400
Authors: Steven R. Lay
Categories:
Type: BOOK - Published: 2015-12-03 - Publisher: Pearson
This is the eBook of the printed book and may not include any media, website access codes, or print supplements that may come packaged with the bound book. For courses in undergraduate Analysis and Transition to Advanced Mathematics. Analysis with an Introduction to Proof, Fifth Edition helps fill in the groundwork students need to succeed in real analysis—often considered the most difficult course in the undergraduate curriculum. By introducing logic and emphasizing the structure and nature of the arguments used, this text helps students move carefully from computationally oriented courses to abstract mathematics with its emphasis on proofs. Clear expositions and examples, helpful practice problems, numerous drawings, and selected hints/answers make this text readable, student-oriented, and teacher- friendly.
Analysis
Language: en
Pages: 384
Authors: Steven R. Lay
Categories: Mathematics
Type: BOOK - Published: 2005 - Publisher: Prentice Hall
By introducing logic and by emphasizing the structure and nature of the arguments used, this book helps readers transition from computationally oriented mathematics to abstract mathematics with its emphasis on proofs. Uses clear expositions and examples, helpful practice problems, numerous drawings, and selected hints/answers. Offers a new boxed review of key terms after each section. Rewrites many exercises. Features more than 250 true/false questions. Includes more than 100 practice problems. Provides exceptionally high-quality drawings to illustrate key ideas. Provides numerous examples and more than 1,000 exercises. A thorough reference for readers who need to increase or brush up on their advanced mathematics skills.
Analysis
Language: en
Pages: 341
Authors: Steven R. Lay
Categories: Mathematics
Type: BOOK - Published: 2000 - Publisher:
Carefully focused on reading and writing proofs, this introduction to the analysis of functions of a single real variable helps readers in the transition from computationally oriented to abstract mathematics. It features clear expositions and examples, helpful practice problems, many drawings that illustrate key ideas, and hints/answers for selected problems. Logic and Proof. Sets and Functions. The Real Numbers. Sequences. Limits and Continuity. Differentiation. Integration. Infinite Series. Sequences and Series of Functions. For anyone interested in Real Analysis or Advanced Calculus.
Ordinal Analysis with an Introduction to Proof Theory
Language: en
Pages: 327
Authors: Toshiyasu Arai
Categories: Electronic books
Type: BOOK - Published: 2020 - Publisher: Springer Nature
This book provides readers with a guide to both ordinal analysis, and to proof theory. It mainly focuses on ordinal analysis, a research topic in proof theory that is concerned with the ordinal theoretic content of formal theories. However, the book also addresses ordinal analysis and basic materials in proof theory of first-order or omega logic, presenting some new results and new proofs of known ones. Primarily intended for graduate students and researchers in mathematics, especially in mathematical logic, the book also includes numerous exercises and answers for selected exercises, designed to help readers grasp and apply the main results and techniques discussed.
Transition to Analysis with Proof
Language: en
Pages: 348
Authors: Steven G. Krantz
Categories: Mathematics
Type: BOOK - Published: 2017-11-09 - Publisher: CRC Press
Transition to Real Analysis with Proof provides undergraduate students with an introduction to analysis including an introduction to proof. The text combines the topics covered in a transition course to lead into a first course on analysis. This combined approach allows instructors to teach a single course where two were offered. The text opens with an introduction to basic logic and set theory, setting students up to succeed in the study of analysis. Each section is followed by graduated exercises that both guide and challenge students. The author includes examples and illustrations that appeal to the visual side of analysis. The accessible structure of the book makes it an ideal refence for later years of study or professional work.
Die Welt ist dreieckig
Language: de
Pages: 185
Authors: Horst Czichos
Categories: Technology & Engineering
Type: BOOK - Published: 2019-05-10 - Publisher: Springer-Verlag
Dieses Sachbuch stellt in prägnanter Form die Entwicklung und den Wissensstand der drei Gebiete Philosophie, Physik und Technik dar und will zum multidisziplinären Verständnis der Welt beitragen.​
Principia mathematica (Vorwort und Einleitung)
Language: de
Pages: 167
Authors: Alfred North Whitehead, Bertrand Russell
Categories: Logic, Symbolic and mathematical
Type: BOOK - Published: 1984 - Publisher:
Books about Principia mathematica (Vorwort und Einleitung)
Real Analysis
Language: en
Pages: 256
Authors: Satoru Igari
Categories: Mathematics
Type: BOOK - Published: 2000 - Publisher: American Mathematical Soc.
This introduction to real analysis is based on a series of lectures by the author at Tohoku University. The text covers real numbers, the notion of general topology, and a brief treatment of the Riemann integral, followed by chapters on the classical theory of the Lebesgue integral on Euclidean spaces; the differentiation theorem and functions of bounded variation; Lebesgue spaces; distribution theory; the classical theory of the Fourier transform and Fourier series; and, wavelet theory. Features of this title include the core subjects of real analysis and the fundamentals for students who are interested in harmonic analysis, probability or partial differential equations. This volume would be a suitable textbook for an advanced undergraduate or first year graduate course in analysis.
Introduction to Real Analysis
Language: en
Pages: 384
Authors: Michael J. Schramm
Categories: Mathematics
Type: BOOK - Published: 2012-05-11 - Publisher: Courier Corporation
This text forms a bridge between courses in calculus and real analysis. Suitable for advanced undergraduates and graduate students, it focuses on the construction of mathematical proofs. 1996 edition.
An Introduction to Proofs with Set Theory
Language: en
Pages: 249
Authors: Daniel Ashlock, Colin Lee
Categories: Mathematics
Type: BOOK - Published: 2020-06-24 - Publisher: Morgan & Claypool Publishers
This text is intended as an introduction to mathematical proofs for students. It is distilled from the lecture notes for a course focused on set theory subject matter as a means of teaching proofs. Chapter 1 contains an introduction and provides a brief summary of some background material students may be unfamiliar with. Chapters 2 and 3 introduce the basics of logic for students not yet familiar with these topics. Included is material on Boolean logic, propositions and predicates, logical operations, truth tables, tautologies and contradictions, rules of inference and logical arguments. Chapter 4 introduces mathematical proofs, including proof conventions, direct proofs, proof-by-contradiction, and proof-by-contraposition. Chapter 5 introduces the basics of naive set theory, including Venn diagrams and operations on sets. Chapter 6 introduces mathematical induction and recurrence relations. Chapter 7 introduces set-theoretic functions and covers injective, surjective, and bijective functions, as well as permutations. Chapter 8 covers the fundamental properties of the integers including primes, unique factorization, and Euclid's algorithm. Chapter 9 is an introduction to combinatorics; topics included are combinatorial proofs, binomial and multinomial coefficients, the Inclusion-Exclusion principle, and counting the number of surjective functions between finite sets. Chapter 10 introduces relations and covers equivalence relations and partial