Thomas bieske (6 Ergebnisse)

Zustand: New.

Paperback. Zustand: Brand New. 216 pages. 9.25x7.50x9.25 inches. In Stock.

Zustand: New. Lays a strong foundation for success in first real analysis courses, presenting traditional material in a contemporary and engaging mannerIntroduces essential concepts and relevant background knowledge with an accessible approachCa.

Zustand: New. Introduces foundational topics in elementary proof methods, including sets, mathematical logic, properties of real numbers, and geometry to establish a strong basis for proof writingHelps undergraduate students develop or enhance their proo.

Taschenbuch. Zustand: Neu. Neuware - Elementary Real Analysis: A Practical Introduction provides a robust foundation for success in real analysis, presenting traditional material in an accessible, engaging manner with the support of clearly outlined learning objectives and exercises.Organized into two well-designed sections, the book begins with a comprehensive review of prerequisite knowledge. Section I includes chapters such as Sets, Properties of Real Numbers, Properties of Integers, and Functions and Relations, each accompanied by a wealth of exercises that encourage exploration and practice. These chapters lay the foundation for the second section which delves into advanced topics such as sequences, continuity, and differentiation, culminating in a synthesis of concepts that prepares students for further study of mathematical analysis. For easy reference, two appendices entitled Mathematical Statements and Proof Methods provide the reader with an accessible reference to the essential language and techniques of proof writing.Whether used in a classroom or for self-directed learning, Elementary Real Analysis: A Practical Introduction is a vital companion for students seeking an introduction to real analysis, bridging the gap between basic principles and advanced mathematical concepts with clarity and precision.…

Taschenbuch. Zustand: Neu. Neuware - An Introduction to Writing Mathematical Proofs: Shifting Gears from Calculus to Advanced Mathematics addresses a critical gap in mathematics education, particularly for students transitioning from calculus to more advanced coursework. It provides a structured and supportive approach, guiding students through the intricacies of writing proofs while building a solid foundation in essential mathematical concepts. Sections introduce elementary proof methods, beginning with fundamental topics such as sets and mathematical logic, systematically develop the properties of real numbers and geometry from a proof-writing perspective, and delve into advanced proof methods, introducing quantifiers and techniques such as proof by induction, counterexamples, contraposition, and contradiction. Finally, the book applies these techniques to a variety of mathematical topics, including functions, equivalence relations, countability, and a variety of algebraic activities, allowing students to synthesize their learning in meaningful ways. It not only equips students with essential proof-writing skills but also fosters a deeper understanding of mathematical reasoning. Each chapter features clearly defined objectives, fully worked examples, and a diverse array of exercises designed to encourage exploration and independent learning. Supplemented by an Instructors' Resources guide hosted online, this text is an invaluable companion for undergraduate students eager to master the art of writing mathematical proofs.…