This book is based on courses taught by the author at Moscow State University. Compared to many other books on the subject, it is unique in that the exposition is based on extensive use of the language and elementary constructions of category theory. Among topics featured in the book are the theory of Banach and Hilbert tensor products, the theory of distributions and weak topologies, and Borel operator calculus. The book contains many examples illustrating the general theory presented, as well as multiple exercises that help the reader to learn the subject. It can be used as a textbook on selected topics of functional analysis and operator theory. Prerequisites include linear algebra, elements of real analysis, and elements of the theory of metric spaces.
Bodyweight exercise is probably the most under-appreciated tool out there for losing weight, building muscle, and staying healthy. Every day, millions of people waste time and money on expensive gym memberships and home workout equipment when there is an easier, more practical solution right under their noses.
This book provides Seniors and people who are aging into their mature years, with some very effective, scientifically based exercise techniques and combines them into a workout routine, which can be performed at home, or in an assisted living facility. This exercise book for aging men and women has a well-rounded workout, which will increase strength throughout all of your major muscle groups...FAST. Having spent a quarter-century studying and applying strength techniques to Athletes, recreational enthusiasts and military personnel, the techniques in this routine are the fastest methods, known to man, to regain and develop strength in certain muscle groups. Members of the U. S. Navy SEALS and other elite members of the Armed Forces currently use modified versions of some of these exercises, when deployed, due to their limited access to exercise equipment. I designed this routine specifically for Seniors, not only for its effectiveness but also for the same reason of possible, limited access to exercise equipment. Seniors and even men & women over 50 are "aging-in-place" now more than ever before and with the routine in this book, they can now strengthen all of the major muscle groups in the body, get daily exercise and noticeable improvements from this routine without having to purchase any exercise or fitness equipment. This is one the most effective exercise books for the aging because it condenses certain revolutionary training principles into a book, for seniors and aging individuals and allows them to use these exercise methods in the privacy of their own home. Exercise is even more important for aging seniors due to the loss of muscle mass, decreasing bone density and other physical limitations among many of them. "Aging gracefully" includes a daily plan of some type of exercise activity, eating healthy meals and following a low-stress lifestyle. It is said that people who follow these principles live a more-fulfilled life and aging seniors are no exception to this rule. Exercise has been proven to lower stress, increase muscle tissue, fight depression, obesity and a host of other health problems. Regular exercise is crucial to improve the quality of life among today's aging seniors. Senior men and women now have the knowledge and "tools" to perform a full-body workout at home, which has zero impact on their joints and minimizes the risk of injury, by emphasizing slow and controlled exercise movements.