• v. 1. Series, integral calculus, theory of functions.-
• v. 2. Theory of functions, zeros, polynomials, determinants, number theory, geometry. Translation by C.E. Billigheimer.

• v. I. Series, integral calculus, theory of functions
• v. II. Theory of functions, zeros, polynomials, determinants, number theory, geometry.

• Vectors.- Spaces.- Weak Topology.- Analytic Functions.- Infinite Matrices.- Boundedness and Invertibility.- Multiplication Operators.- Operator Matrices.- Properties of Spectra.- Examples of Spectra.- Spectral Radius.- Norm Topology.- Operator Topologies.- Strong Operator Topology.- Partial Isometries.- Polar Decomposition.- Unilateral Shift.- Cyclic Vectors.- Properties of Compactness.- Examples of Compactness.- Subnormal Operators.- Numerical Range.- Unitary Dilations.- Commutators.- Toeplitz Operators.- References.- List of Symbols.- Index.
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From the Preface: 'This book was written for the active reader. The first part consists of problems, frequently preceded by definitions and motivation, and sometimes followed by corollaries and historical remarks...The second part, a very short one, consists of hints...The third part, the longest, consists of solutions: proofs, answers, or constructions, depending on the nature of the problem...This is not an introduction to Hilbert space theory. Some knowledge of that subject is a prerequisite: at the very least, a study of the elements of Hilbert space theory should proceed concurrently with the reading of this book.'.
(source: Nielsen Book Data)

People delight in working on problems ""because they are there, "" for the sheer pleasure of meeting a challenge. This is a book full of such delights. In it, Murray S. Klamkin brings together 75 original USA Mathematical Olympiad (USAMO) problems for yearss 1972-1986, with many improvements, extensions, related exercises, open problems, references and solutions, often showing alternative approaches. The problems are coded by subject, and solutions are arranged by subject, e.g., algebra, number theory, solid geometry, etc., as an aid to those interested in a particular field. Included is a Glossary of frequently used terms and theorems and a comprehensive bibliography with items numbered and referred to in brackets in the text. This a collection of problems and solutions of arresting ingenuity, all accessible to secondary school students. The USAMO has been taken annually by about 150 of the nation's best high school mathematics students. This exam helps to find and encourage high school students with superior mathematical talent and creativity and is the culmination of a three-tiered competition that begins with the American High School Mathematics Examination (AHSME) taken by over 400,000 students. The eight winners of the USAMO are candidates for the US team in the International Mathematical Olympiad. Schools are encouraged to join this large and important enterprise. See page x of the preface for further information. This book includes a list of all of the top contestants in the USAMO and their schools. The problems are intriguing and the solutions elegant and informative. Students and teachers will enjoy working these challenging problems. Indeed, all those who are mathematically inclined will find many delights and pleasant challenges in this book.
(source: Nielsen Book Data)

• v. 1. Early transcendentals

One of the most effective ways to stimulate students to enjoy intellectual efforts is the scientific competition. In 1894 the Hungarian Mathematical and Physical Society introduced a mathematical competition for high school students. The success of high school competitions led the Mathematical Society to found a college level contest, named after Miklos Schweitzer. The problems of the Schweitzer Contests are proposed and selected by the most prominent Hungarian mathematicians. This book collects the problems posed in the contests between 1962 and 1991 which range from algebra, combinatorics, theory of functions, geometry, measure theory, number theory, operator theory, probability theory, topology, to set theory. The second part contains the solutions. The Schweitzer competition is one of the most unique in the world. The experience shows that this competition helps to identify research talents. This collection of problems and solutions in several fields in mathematics can serve as a guide for many undergraduates and young mathematicians. The large variety of research level problems might be of interest for more mature mathematicians and historians of mathematics as well.
(source: Nielsen Book Data)

• PROBLEMS. Crystal Structures. Interatomic Forces, Lattice Vibrations. Electronic Band Structure. Density of States. Elementary Excitations. Thermodynamics of Noninteracting Quasiparticles. Transport Properties. Optical Properties. Interactions and Phase Transitions. SOLUTIONS TO PROBLEMS. Crystal Structures. Interatomic Forces, Lattice Vibrations. Electronic Band Structure. Density of States. Elementary Excitations. Thermodynamics of Noninteracting Quasiparticles. Transport Properties. Optical Properties. Interactions and Phase Transitions. References. Index.
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The ideal supplement to the standard texts in condensed matter physics Solving homework problems is the single most effective way for students to familiarize themselves with the language and details of solid state physics. Testing problem--solving ability is the best means at the professor's disposal for measuring student progress at critical points in the learning process. This book enables any instructor to supplement end--of--chapter textbook assignments with a large number of challenging and engaging practice problems and discover a host of new ideas for creating exam questions. Designed to be used in tandem with any of the excellent textbooks on this subject, Solid State Physics: Problems and Solutions provides a self--study approach through which advanced undergraduate and first--year graduate students can develop and test their skills while acclimating themselves to the demands of the discipline. Each problem has been chosen for its ability to illustrate key concepts, properties, and systems, knowledge of which is crucial in developing a complete understanding of the subject, including: Crystals, diffraction, and reciprocal lattices. Phonon dispersion and electronic band structure. Density of states. Transport, magnetic, and optical properties. Interacting electron systems. And more.
(source: Nielsen Book Data)

This book is intended to provide students with the appropriate mathematical tools and problem-solving experience to successfully compete in high-level problem solving competitions. In each section, the authors attempt to "fill in" the appropriate background and then provide the student with a variety of worked examples and exercises to help bridge the gap between what he or she may already know and what is required for high-level competitions. Answers or sketches of the solutions are given for all exercises. The book makes an attempt to introduce each area "gently" assuming little in the way of prior background - and teach the appropriate techniques, rather than simply providing a compilation of high-level problems.
(source: Nielsen Book Data)