Presents beginning calculus course information in an easy-to-follow, topic-by- topic format. This title provides you with many examples, solved problems, and practice exercises to test your skills. It gives you: practice problems with explanations that reinforce knowledge, and coverage of developments in your course field.
This study of basic number systems explores natural numbers, integers, rational numbers, real numbers, and complex numbers. Written by a noted expert on logic and set theory, it assumes no background in abstract mathematical thought. Undergraduates and beginning graduate students will find this treatment an ideal introduction to number systems, particularly in terms of its detailed proofs.Starting with the basic facts and notions of logic and set theory, the text offers an axiomatic presentation of the simplest structure, the system of natural numbers. It proceeds, by set-theoretic methods, to an examination of integers that covers rings and integral domains, ordered integral domains, and natural numbers and integers of an integral domain. A look at rational numbers and ordered fields follows, along with a survey of the real number system that includes considerations of least upper bounds and greatest lower bounds, convergent and Cauchy sequences, and elementary topology. Numerous exercises and several helpful appendixes supplement the text.
The sixth edition of this classic textbook offers a comprehensive introduction to mathematical logic, featuring recent developments such as Gödel's second incompleteness theorem. It includes an appendix on consistency proofs for first-order arithmetic, enriching the learning experience with historical perspectives. Additionally, the book presents a variety of new exercises that cater to different skill levels, enhancing both understanding and application of mathematical logic concepts.
This book offers a clear and accessible introduction to the fundamental concepts and techniques of game theory. It is designed to help readers understand the strategic interactions among rational decision-makers, making complex ideas approachable for beginners. Through practical applications, it illustrates how game theory can be utilized in various fields, enhancing the reader's comprehension of competitive and cooperative scenarios.
Study smarter and stay on top of your calculus course with the bestselling Schaum’s Outline—now with the NEW Schaum’s app and website! Schaum’s Outline of Calculus, Seventh Edition is the go-to study guide for hundreds of thousands of high school and college students enrolled in calculus courses—including Calculus, Calculus II, Calculus III, AP Calculus and Precalculus. With an outline format that facilitates quick and easy review, Schaum’s Outline of Calculus, Seventh Edition helps you understand basic concepts and get the extra practice you need to excel in these courses. Chapters include Linear Coordinate Systems, Functions, Limits, Rules for Differentiating Functions, Law of the Mean, Inverse Trigonometric Functions, The Definite Integral, Space Vectors, Directional Derivatives, and much, much more. Features: NEW to this edition: the new Schaum’s app and website! 1,105 problems solved step by step 30 problem-solving videos online Outline format supplies a concise guide to the standard college course in calculus Clear, concise explanations covers all course fundamentals Hundreds of additional practice problems Supports the major leading textbooks in calculus Appropriate for the following courses: Calculus I, Calculus II, Calculus III, AP Calculus, Precalculus
Theorie und Anwendung