This textbook is carefully designed as an early undergraduate introduction to the calculus of several real variables. The balanced coverage is devoted to limits, continuity, partial derivatives, extrema, the nabla operator, multiple integrals, line integrals, surface integrals, and the fundamental theorems of vector calculus.Engaging and accessible with detailed diagrams and copious worked examples, the presentation is well suited to students pursuing applied fields such as enginee...

This course text fills a gap for first-year graduate-level students reading applied functional analysis or advanced engineering analysis and modern control theory. Containing 100 problem-exercises, answers, and tutorial hints, the first edition is often cited as a standard reference. Making a unique contribution to numerical analysis for operator equations, it introduces interval analysis into the mainstream of computational functional analysis, and discusses the elegant techniques for rep...

Engineering Writing by Design: Creating Formal Document of Lasting Value, Second Edition shows how effective writing can be achieved by thinking like an engineer. Based on the authors’ combined experience as engineering educators, the book presents a novel approach to technical writing, positioning formal writing tasks as engineering design problems with requirements, constraints, protocols, standards, and customers (readers) to satisfy. Specially crafted for busy engineer...

This book offers a concise introduction to mathematical inequalities for graduate students and researchers in the fields of engineering and applied mathematics. It begins by reviewing essential facts from algebra and calculus and proceeds with a presentation of the central inequalities of applied analysis, illustrating a wide variety of practical applications. The text provides a gentle introduction to abstract spaces, such as metric, normed and inner product spaces. It also provides full ...

This is a book for those who enjoy thinking about how and why Nature can be described using mathematical tools. Approximating Perfection considers the background behind mechanics as well as the mathematical ideas that play key roles in mechanical applications.Concentrating on the models of applied mechanics, the book engages the reader in the types of nuts-and-bolts considerations that are normally avoided in formal engineering courses: how and why models remain imperfect,...

'A strong point of this book is its coverage of tensor theory, which is herein deemed both more readable and more substantial than many other historic continuum mechanics books. The book is self-contained. It serves admirably as a reference resource on fundamental principles and equations of tensor mathematics applied to continuum mechanics. Exercises and problem sets are useful for teaching … The book is highly recommended as both a graduate textbook and a reference work for students and ...

Students and research workers in mathematics, physics, engineering and other sciences will find this compilation of more than 4,000 mathematical formulas and tables invaluable. All the information included is practical, rarely used results are excluded. Topics range from elementary to advanced - from algebra, trigonometry and calculus to linear algebra and statistics. Great care has been taken to present all results concisely and clearly. Excellent to keep as a handy reference! If you don'...

This QuickStudy guide includes everything the first year calculus student needs to gain a strong understanding of the basic calculus concepts. It includes: functions, limits, continuity, derivatives & analysis, integration, and much more!

Tough Test Questions? Missed Lectures? Not Enough Time?Fortunately for you, there's Schaum's.More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solvedproblems, and practice exercises to test you...

Taught at junior level math courses at every university, Linear Algebra is essential for students in almost every technical and analytic discipline.

The third edition of this highly acclaimed undergraduate textbook is suitable for teaching all the mathematics for an undergraduate course in any of the physical sciences. As well as lucid descriptions of all the topics and many worked examples, it contains over 800 exercises. New stand-alone chapters give a systematic account of the 'special functions' of physical science, cover an extended range of practical applications of complex variables, and give an introduction to quantum operators...

Exam Board: IBLevel: MYPSubject: MathematicsFirst Teaching: September 2016First Exam: June 2017The only series for MYP 4 and 5 developed in cooperation with the International Baccalaureate (IB)Develop your skills to become an inquiring learner; ensure you navigate the MYP framework with confidence using a concept-driven and assessment-foc...