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Logic


Mathematical Proofs: A Transition to Advanced Mathematics (4th Edition)

Mathematical Proofs: A Transition to Advanced Mathematics (4th Edition) Lowest new price: $156.99
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Author: Gary Chartrand

For courses in Transition to Advanced Mathematics or Introduction to Proof.


Meticulously crafted, student-friendly text that helps build mathematical maturity

Mathematical Proofs: A Transition to Advanced Mathematics, 4th Edition introduces students to proof techniques, analyzing proofs, and writing proofs of their own that are not only mathematically correct but clearly written. Written in a student-friendly manner, it provides a solid introduction to such topics as relations, functions, and cardinalities of sets, as well as optional excursions into fields such as number theory, combinatorics, and calculus. The exercises receive consistent praise from users for their thoughtfulness and creativity.  They help students progress from understanding and analyzing proofs and techniques to producing well-constructed proofs independently. This book is also an excellent reference for students to use in future courses when writing or reading proofs.



0134746759 / 9780134746753 Chartrand/Polimeni/Zhang, Mathematical Proofs: A Transition to Advanced Mathematics, 4/e


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Specifying Systems: The TLA+ Language and Tools for Hardware and Software Engineers

Specifying Systems: The TLA+ Language and Tools for Hardware and Software Engineers Lowest new price: $36.66
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Author: Leslie Lamport

This work shows how to write unambiguous specifications of complex computer systems. The first part provides a concise and lucid introduction to specification, explaining how to describe, with mathematical precision, the behavioural properties of a system - what that system is allowed to do. The emphasis here is on safety properties. The second part covers more advanced topics, including liveness and fairness, real time properties, and composition. The books final two parts provide a complete reference manual for the TLA+ language and tools, as well as a mini-manual.

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A Course in Mathematical Modeling (Mathematical Association of America Textbooks)

A Course in Mathematical Modeling (Mathematical Association of America Textbooks) Lowest new price: $68.00
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Author: Douglas D. Mooney
Brand: Brand: The Mathematical Association of America

The emphasis of this book lies in the teaching of mathematical modeling rather than simply presenting models. To this end the book starts with the simple discrete exponential growth model as a building block, and successively refines it. This involves adding variable growth rates, multiple variables, fitting growth rates to data, including random elements, testing exactness of fit, using computer simulations and moving to a continuous setting. No advanced knowledge is assumed of the reader, making this book suitable for elementary modeling courses. The book can also be used to supplement courses in linear algebra, differential equations, probability theory and statistics.

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An Introduction to Mathematical Reasoning: Numbers, Sets and Functions

An Introduction to Mathematical Reasoning: Numbers, Sets and Functions Lowest new price: $34.23
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Author: Peter J. Eccles
Brand: Cambridge University Press

This book eases students into the rigors of university mathematics. The emphasis is on understanding and constructing proofs and writing clear mathematics. The author achieves this by exploring set theory, combinatorics, and number theory, topics that include many fundamental ideas and may not be a part of a young mathematician's toolkit. This material illustrates how familiar ideas can be formulated rigorously, provides examples demonstrating a wide range of basic methods of proof, and includes some of the all-time-great classic proofs. The book presents mathematics as a continually developing subject. Material meeting the needs of readers from a wide range of backgrounds is included. The over 250 problems include questions to interest and challenge the most able student but also plenty of routine exercises to help familiarize the reader with the basic ideas.

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The Art of Proof: Basic Training for Deeper Mathematics (Undergraduate Texts in Mathematics)

The Art of Proof: Basic Training for Deeper Mathematics (Undergraduate Texts in Mathematics) Lowest new price: $25.14
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Author: Matthias Beck
Brand: Brand: Springer

The Art of Proof is designed for a one-semester or two-quarter course. A typical student will have studied calculus (perhaps also linear algebra) with reasonable success. With an artful mixture of chatty style and interesting examples, the student's previous intuitive knowledge is placed on solid intellectual ground. The topics covered include: integers, induction, algorithms, real numbers, rational numbers, modular arithmetic, limits, and uncountable sets. Methods, such as axiom, theorem and proof, are taught while discussing the mathematics rather than in abstract isolation. The book ends with short essays on further topics suitable for seminar-style presentation by small teams of students, either in class or in a mathematics club setting. These include: continuity, cryptography, groups, complex numbers, ordinal number, and generating functions.

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How to Read and Do Proofs: An Introduction to Mathematical Thought Processes

How to Read and Do Proofs: An Introduction to Mathematical Thought Processes Lowest new price: $59.37
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Author: Daniel Solow

This text makes a great supplement and provides a systematic approach for teaching undergraduate and graduate students how to read, understand, think about, and do proofs. The approach is to categorize, identify, and explain (at the student's level) the various techniques that are used repeatedly in all proofs, regardless of the subject in which the proofs arise. How to Read and Do Proofs also explains when each technique is likely to be used, based on certain key words that appear in the problem under consideration. Doing so enables students to choose a technique consciously, based on the form of the problem.

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Modern Logic: A Text in Elementary Symbolic Logic

Modern Logic: A Text in Elementary Symbolic Logic Lowest new price: $54.41
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Author: Graeme Forbes
Brand: Oxford University Press, USA

Filling the need for an accessible, carefully structured introductory text in symbolic logic, Modern Logic has many features designed to improve students' comprehension of the subject, including a proof system that is the same as the award-winning computer program MacLogic, and a special appendix that shows how to use MacLogic as a teaching aid. There are graded exercises at the end of each chapter--more than 900 in all--with selected answers at the end of the book. Unlike competing texts, Modern Logic gives equal weight to semantics and proof theory and explains their relationship, and develops in detail techniques for symbolizing natural language in first-order logic. After a general introduction featuring the notion of logical form, the book offers sections on classical sentential logic, monadic predicate logic, and full first-order logic with identity. A concluding section deals with extensions of and alternatives to classical logic, including modal logic, intuitionistic logic, and fuzzy logic. For students of philosophy, mathematics, computer science, or linguistics, Modern Logic provides a thorough understanding of basic concepts and a sound basis for more advanced work.

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Conceptual Mathematics: A First Introduction to Categories

Conceptual Mathematics: A First Introduction to Categories Lowest new price: $55.00
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Author: F. William Lawvere
Brand: Brand: Cambridge University Press

In the last 60 years, the use of the notion of category has led to a remarkable unification and simplification of mathematics. Conceptual Mathematics, Second Edition, introduces the concept of 'category' for the learning, development, and use of mathematics, to both beginning students and general readers, and to practicing mathematical scientists. The treatment does not presuppose knowledge of specific fields, but rather develops, from basic definitions, such elementary categories as discrete dynamical systems and directed graphs; the fundamental ideas are then illuminated by examples in these categories.

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  • Used Book in Good Condition

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A Guide to Classical and Modern Model Theory (Trends in Logic)

A Guide to Classical and Modern Model Theory (Trends in Logic) Lowest new price: $100.52
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Author: Annalisa Marcja

This volume is easily accessible to young people and mathematicians unfamiliar with logic. It gives a terse historical picture of Model Theory and introduces the latest developments in the area. It further provides 'hands-on' proofs of elimination of quantifiers, elimination of imaginaries and other relevant matters. The book is for trainees and professional model theorists, and mathematicians working in Algebra and Geometry.


Handbook of Consultation-Liaison Psychiatry

Handbook of Consultation-Liaison Psychiatry Lowest new price: $140.40
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This updated resource refines and expands on both the core concepts and the real-world practice of consultation-liaison psychiatry in medical settings. New and revised chapters provide background and basics and describe CL psychiatry approaches to managing a wide array of common conditions, including heart disease, dementia, anxiety and depressive disorders, alcohol and substance use problems, and chronic pain. Besides the fine points of practice in varied chronic and acute care settings, specific patient populations such as children, elders, ob/gyn patients, and the immunocompromised are discussed. The latest information and insights on pharmacology, interviewing, and ethical and cultural issues round out the book's highly accessible coverage.

A sampling of topics in the Handbook:

  • Basic foundations of diagnosis, psychiatric diagnosis, and final common pathway syndromes.
  • An integrative care model of psychiatry in the primary care setting.
  • Patient personality, personality types and traits, and disorders.
  • The chronic patient and the palliative care setting.
  • Trauma- and stressor-related disorders.
  • Somatic symptoms and related disorders.

The Second Edition of the Handbook of Consultation-Liaison Psychiatry ably follows its predecessor by presenting the diverse state of the specialty to enhance the work of psychiatrists, clinical psychologists, and primary care physicians.

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