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Pages: 45, Edition: 1, Paperback, Springer

This book reflects the progress made in the forty years since the appearance of Abraham Robinsons revolutionary book Nonstandard Analysis in the foundations of mathematics and logic, number theory, statistics and probability, in ordinary, partial and stochastic differential equations and in education. The contributions are clear and essentially self-contained.

All the papers in this volume are research papers presenting new results. Most of the results concern semi-simple Lie groups and non-Riemannian symmetric spaces: unitarisation, discrete series characters, multiplicities, orbital integrals. Some, however, also apply to related fields such as Dirac operators and characters in the general case.

Students and math professors looking for a calculus resource that sparks curiosity and engages them will appreciate this new book. Through demonstration and exercises, it shows them how to read equations. It uses a blend of traditional and reform emphases to develop intuition. Narrative and exercises present calculus as a single, unified subject. Color is used to help them identify and interpret the parts of a mathematical model. In addition, formal proofs are preceded with informal discussions that focus on the ideas about to be presented. Then the proofs are discussed in a way that helps scientists and engineers interpret the details of the argument.

College Algebra, First Edition will appeal to those who want to give important topics more in-depth, higher-level coverage. This text offers streamlined approach accompanied with accessible definitions across all chapters to allow for an easy-to-understand read. College Algebra contains prose that is precise, accurate, and easy to read, with straightforward definitions of even the topics that are typically most difficult for students.

Explorations in College Algebra,5th Editionis designed to make algebra interesting and relevant to the student. The text adopts a problem-solving approach that motivates readers to grasp abstract ideas by solving real-world problems. The problems lie on a continuum from basic algebraic drills to open-ended, non-routine questions. The focus is shifted from learning a set of discrete mathematical rules to exploring how algebra is used in the social, physical, and life sciences. The goal of Explorations in College Algebra,5th Editionis to preparestudents for future advanced mathematics or other quantitatively based courses, while encouraging them to appreciate and use the power of algebra in answering questions about the world around us.

More than 60 million Teach Yourself products sold worldwideIncrease your odds of mastering statistics Understand Statistics is a straightforward introduction to the principles of this vital field of mathematics. You don't have to have much knowledge on the subject as this book will walk you through it step-by-step. With examples from a wide variety of everyday contexts, this book makes even complex concepts and techniques easy for you to grasp. Includes: One, five and ten-minute introductions to key principles to get you started Lots of instant help with common problems and quick tips for success, based on the author's many years of experience Suitable for understanding the statistics you are bombarded with in everyday life Useful in the work place or as part of your course

Kirk Trigsted revolutionized the way this course is taught when he created College Algebra, a completely clickable eText that was written from the ground up within MyMathLab. Recognizing that todays students start with the homework instead of reading the text, Trigsted created an online learning environment that is a seamless mix of exposition, videos, interactive animations, tutorials, and assessment. This approach leverages the power of MyMathLab and leads students to interact with course materials in a way that is proving to be more effective. With Algebra & Trigonometry, Trigsted continues to innovate with a revised design that improves navigation and usability, expanded videos, and increased animation coverage. All multimedia elements, exercises, feedback, and content are written by the author himself so that the students have a consistent voice throughout.

The study of combinatorial isoperimetric problems exploits similarities between discrete optimization problems and the classical continuous setting. Based on his many years of teaching experience, Larry Harper focuses on global methods of problem solving. His text will enable graduate students and researchers to quickly reach the most current state of research in this topic. Harper includes numerous worked examples, exercises and material about applications to computer science.

Perturbation series expansion methods are sophisticated numerical tools used to provide quantitative calculations in many areas of theoretical physics. This book gives a comprehensive guide to the use of series expansion methods for investigating phase transitions and critical phenomena, and lattice models of quantum magnetism, strongly correlated electron systems and elementary particles. Early chapters cover the classical treatment of critical phenomena through high-temperature expansions, and introduce graph theoretical and combinatorial algorithms. The book then discusses high-