Clarendon Press Oxford, 2000. — 618 p. — ISBN: 0-19-853447-7. This radical first course on complex analysis brings a beautiful and powerful subject to life by consistently using geometry (not calculation) as the means of explanation. Aimed at undergraduate students in mathematics, physics, and engineering, the book's intuitive explanations, lack of advanced prerequisites, and...
4th ed. — Brooks Cole, 2006. — 202 p. Renowned professor and author Gilbert Strang demonstrates that linear algebra is a fascinating subject by showing both its beauty and value. While the mathematics is there, the effort is not all concentrated on proofs. Strang's emphasis is on understanding. He explains concepts, rather than deduces. This book is written in an informal and...
Amorata Press, 2009. — 376 p. Packed full of exciting, erotic and even acrobatic positions, 365 Sex Positions offers couples sizzling new ways to spice up their sex lives every day of the year. Open to any page and you’ll discover a thrilling new position.
McGraw-Hill Publishing, 1987. — 433 p. — ISBN: 0-07-054234-1. This is an advanced text for the one- or two-semester course in analysis taught primarily to math, science, computer science, and electrical engineering majors at the junior, senior or graduate level. The basic techniques and theorems of analysis are presented in such a way that the intimate connections between its...
The MIT Press, 1963. — 361 p. Mathematics, which originated in antiquity in the needs of daily life, has developed into an immense system of widely varied disciplines. Like the other sciences, it reflects the laws of the material world around us and serves as a powerful instrument for our knowledge and mastery of nature. But the high level of abstraction peculiar to mathematics...
Birkhauser, 2014. — 406 p. — ISBN: 978-0-8176-8414-3. It is impossible to imagine modern mathematics without complex numbers. The second edition of Complex Numbers from A to … Z introduces the reader to this fascinating subject that from the time of L. Euler has become one of the most utilized ideas in mathematics. The exposition concentrates on key concepts and then elementary...
Springer-Verlag New York Inc - 681p - 1989 - ISBN13: 978-1-4613-8957-6 During the latter part of the seventeenth century the new mathematical analysis emerged as the dominating force in mathematics. It is characterized by the amazingly successful operation with infinite processes or limits. Two of these processes, differentiation and integration, became the core of the...
2nd edition. — Springer, 1997. — 141 p. Vector Spaces Finite-Dimensional Vector Spaces Linear Maps Polynomials Eigenvalues and Eigenvectors Inner-Product Spaces Operators on Inner-Product Spaces Operators on Complex Vector Spaces Operators on Real Vector Spaces Trace and Determinant Symbol Index
Third Edition. — McGraw-Hill Inc, 1978. — 636 p. — ISBN: 0-07-008728-8. Demonstrating analytical and numerical techniques for attacking problems in the application of mathematics, this well-organized, clearly written text presents the logical relationship and fundamental notations of analysis. Buck discusses analysis not solely as a tool, but as a subject in its own right. This...
Butterworth-Heinemann, 2000. — 196 p. — ISBN: 0-7506-2896-0. Devoted to the foundation of mechanics, namely classical Newtonian mechanics, the subject is based mainly on Galileo's principle of relativity and Hamilton's principle of least action. The exposition is simple and leads to the most complete direct means of solving problems in mechanics. The final sections on adiabatic...
The MIT Press, 1963. — 364 p. Mathematics, which originated in antiquity in the needs of daily life, has developed into an immense system of widely varied disciplines. Like the other sciences, it reflects the laws of the material world around us and serves as a powerful instrument for our knowledge and mastery of nature. But the high level of abstraction peculiar to mathematics...
Sixth edition. — Pearson, 2008. — 784 p. — ISBN: 0-13-600613-2. The Sixth Edition of this widely adopted book remains the same classic differential equations text it's always been, but has been polished and sharpened to serve both instructors and students even more effectively.Edwards and Penney teach students to first solve those differential equations that have the most...
2nd Edition. — Pearson Education International, 2005. — 484 p. This book first teaches learners how to "do" quantum mechanics, and then provides them with a more insightful discussion of what it "means." Fundamental principles are covered, quantum theory presented, and special techniques developed for attacking realistic problems. The book s two-part coverage organizes topics...
Springer-Verlag New York Inc - 976p - 1989 - ISBN13: 978-1-4613-8960-6 Richard Courant's Differential and Integral Calculus, Vols. I and II, has been tremendously successful in introducing several generations of mathematicians to higher mathematics. Throughout, those volumes presented the important lesson that meaningful mathematics is created from a union of intuitive...
Birkhäuser, 2013. — 245 p. — ISBN: 978-3-319-00704-5, 978-3-319-00705-2. This book is a unique collection of challenging geometry problems and detailed solutions that will build students’ confidence in mathematics. By proposing several methods to approach each problem and emphasizing geometry’s connections with different fields of mathematics, Methods of Solving Complex...
McGraw-Hill, 1991. — 441 p. — (International Series in Pure and Applied Mathematics). — ISBN: 0-07-054236-8. This classic text is written for graduate courses in functional analysis. This text is used in modern investigations in analysis and applied mathematics. This new edition includes up-to-date presentations of topics as well as more examples and exercises. New topics...
Second edition. — John Wiley Sons, 1969. — 698 p. — ISBN: 0-471-00005-1. Linear analysis · linear spaces · linear transformations and matrices · determinants · eigenvalues and eigenvectors · eigenvalues of operators acting on euclidean spaces · linear differential equations · systems of differential equations · nonlinear analysis · differential calculus of scalar and vector...
Rockridge Press, 2016. — 207 p. I wasn’t one of the “lucky” girls who miraculously had their first orgasm while riding a bike to school, or who discovered the magic of the showerhead at a young age. I was a late bloomer. I had intercourse for the first time when I was seventeen, but even then, I didn’t understand that having sex and enjoying sex were two very different things....
The MIT Press, 1963. — 385 p. Mathematics, which originated in antiquity in the needs of daily life, has developed into an immense system of widely varied disciplines. Like the other sciences, it reflects the laws of the material world around us and serves as a powerful instrument for our knowledge and mastery of nature. But the high level of abstraction peculiar to mathematics...
Second Edition. — Springer, 2012. — 173 p. — ISBN: 978-0-8176-8303-0. This text presents differential forms from a geometric perspective accessible at the undergraduate level. It begins with basic concepts such as partial differentiation and multiple integration and gently develops the entire machinery of differential forms. The subject is approached with the idea that complex...
3rd ed. — Springer, 1987. — 308 p. — ISBN: 0-387-96412-6. The present book is meant as a text for a course in linear algebra, at the undergraduate level in the upper division. My Introduction to Linear Algebra provides a text for beginning students, at the same level as introductory calculus courses. The present book is meant to serve at the next level, essentially for a second...
8th Edition. — John Wiley & Sons, 2015. — 735 p. — ISBN: 978-1-118-88584-0. Known for its accuracy, clarity, and dependability, Meriam, Kraige, and Bolton’s Engineering Mechanics: Dynamics 8th Edition has provided a solid foundation of mechanics principles for more than 60 years. Now in its eighth edition, the text continues to help students develop their problem-solving skills...
Cambridge University Press, 2003. — 661 p. — ISBN: 978-0-511-07582-7. Complex variables offer very efficient methods for attacking many difficult problems, and it is the aim of this book to offer a thorough review of these methods and their applications. Part I is an introduction to the subject, including residue calculus and transform methods. Part II advances to conformal...
Second edition. — John Wiley Sons, 1967. — 689 p. — ISBN: 0-471-00005-1. An introduction to the Calculus, with an excellent balance between theory and technique. Integration is treated before differentiation--this is a departure from most modern texts, but it is historically correct, and it is the best way to establish the true connection between the integral and the...
Springer, 2013. — 536 p. — ISBN: 978-3-642-30993-9. This book on linear algebra and geometry is based on a course given by renowned academician I.R. Shafarevich at Moscow State University. The book begins with the theory of linear algebraic equations and the basic elements of matrix theory and continues with vector spaces, linear transformations, inner product spaces, and the...
Phaidon Press, 2000. — 356 p. Considered a great classic by all who seek for a meeting ground between science and the humanities, Art and Illusion examines the history and psychology of pictorial representation in light of present-day theories of visual perception information and learning. Searching for a rational explanation of the changing styles of art, Gombrich reexamines...
Third edition. — McGraw-Hill, 1979. — 347 p. — ISBN: 0-07-000657-1. This text is a rigorous introduction on an elementary level to the theory of analytic functions of one complex variable. At American universities it is intended to be used by first-year graduate and advanced undergraduate students. Since the time the first edition was published there has been a marked change in...
Wellesley Cambridge Press, 1997. — 642 p. — ISBN: 0-9614088-6-3. Linear Algebra, Geodesy and GPS discusses algorithms, generally expressed in MatLAB, for geodesy and global positioning. Three parts cover basic linear algebra, the application to the (linear and also nonlinear) science of measurement, and the GPS system and its applications. This book has many strengths. It...
Wiley, 1991. — 887 p. Beginning students of quantum mechanics frequently experience difficulties separating essential underlying principles from the specific examples to which these principles have been historically applied. Nobel-Prize-winner Claude Cohen-Tannoudji and his colleagues have written this book to eliminate precisely these difficulties. Fourteen chapters provide a...
Fourth Edition. — Springer, 2015. — 653 p. — ISBN: 978-3-319-16720-6. This text covers topics in algebraic geometry and commutative algebra with a strong perspective toward practical and computational aspects. The first four chapters form the core of the book. A comprehensive chart in the Preface illustrates a variety of ways to proceed with the material once these chapters are...
Springer, 2000. — 536 p. — (Undergraduate Texts in Mathematics). — ISBN: 978-1-4419-3145-0. In recent years, I have been teaching a junior-senior-level course on the classi cal geometries. This book has grown out of that teaching experience. I assume only high-school geometry and some abstract algebra. The course begins in Chapter 1 with a critical examination of Euclid's...
IEEE Press, 2007. - 649p. - ISBN13: 978-0-470-13153-4 ELECTROMAGNETIC THEORY by JULIUS ADAMS STRATTON. PREFACE: The pattern set nearly 70 years ago by Maxwell's Treatise on Electricity and Magnetism has had a dominant influence on almost every subse quent English and American text, persisting to the present day. The Treatise was undertaken with the intention of presenting a...
4th ed. — McGraw-Hill, 2009. — 337 p. — ISBN: 978-0-07-154413-9. For half a century, more than 40 million students have trusted Schaum's to help them study faster, learn better, and get top grades. Now Schaum's celebrates its 50th birthday with a brand-new look, a new format with hundreds of practice problems, and completely updated information to conform to the latest...
Wiley, 1993. — 214 p. This is the complete solution manual to John David Jackson's Electrodynamics . The solution manual solves problem mostly from the first edition, but gives a reference where are the problems in the second edition (see the first page). They are official, complete and beautifully explained. The problems are solved in CGS but the transition to SI is trivial....
EMW Publishing, 2008. - 1032p. - ISBN: 0-9668143-9-8 This book presents a unified macroscopic theory of electromagnetic waves in accordance with the principle of special relativity from the point of view of the form invariance of the Maxwell equations and the constitutive relations. Great emphasis is placed on the fundamental importance of the k vector in electromagnetic wave...
Jones and Bartlett Publishers, 2003. — 517 p. — ISBN: 0-7637-1437-2. A First Course in Complex Analysis with Applications is a truly accessible introduction to the fundamental principles and applications of complex analysis. Designed for the undergraduate student with a calculus background but no prior experience with complex variables, this text discusses theory of the most...
CRC Press, 2014. — 765p. — ISBN13: 978-1-4665-8468-6 This is a book on mathematical methods seen in physics and aimed at undergraduate students who have completed a year-long introductory course in physics. The intent of the course is to introduce students to many of the mathematical techniques useful in their undergraduate science education long before they are exposed to more...
Rutgers University, 2016. — 406 p. This book provides a broad and applications-oriented introduction to electromagnetic waves and antennas, with MatLAB examples. Current interest in these areas is driven by the growth in wireless and fiber-optic communications, information technology, and materials science. Communications, antenna, radar, and microwave engineers must deal with...
Dover Publications Inc., 2003. — 220 p. — ISBN: 0-486-42875-3. These counterexamples, arranged according to difficulty or sophistication, deal mostly with the part of analysis known as "real variables," starting at the level of calculus. The first half of the book concerns functions of a real variable; topics include the real number system, functions and limits,...
Springer, 2012. — 535 p. — ISBN: 978-1-4471-2484-9. This book documents the engineering behind most of today’s aerospace propulsion systems. Some of the material coverage in this book for a number of relevant propulsion topics is more detailed, in the context of a university or technical college course textbook at the introductory or advanced level, so that the reader gets some...
Mir Publishers Moscow, 1988. — 569 p. Volume 1 covers aspects of basic mechanics and fluid mechanics (both statics and dynamics), heat and molecular physics. These topics include: Kinematics. Dynamics. Statics. Work and Energy. Curvilinear Motion. Motion in Noninertial Reference Systems and inertial Forces. Hydrostatics. Aerostatics. Fluid Dynamics. Thermal Expansion of Solids...
Mir Publishers Moscow, 1989. — 578 p. Volume 3 covers aspects of wave motion, oscillations, optics and atomic and modern physics. These topics include: Basic Concepts. Mechanical Vibrations. Acoustic Vibrations. Electric Oscillations. Wave Phenomena. Interference of Waves. Electromagnetic Waves. Light Phenomena: General. Photometry and Lighting Engineering. Basic Laws of...
Fifth edition. — Springer, 1986. — 741 p. — ISBN: 0-387-96201-8. This fifth edition of Lang's book covers all the topics traditionally taught in the first-year calculus sequence. Divided into five parts, each section of A First Course in Calculus contains examples and applications relating to the topic covered. In addition, the rear of the book contains detailed solutions to a...
Addison Wesley Publishing, 1971. — 495 p. This text in basic mathematics is ideal for high school or college students. It provides a firm foundation in basic principles of mathematics and thereby acts as a springboard into calculus, linear algebra and other more advanced topics. The information is clearly presented, and the author develops concepts in such a manner to show how one...
3th edition. — Wiley, 2005. — 999 p. — ISBN: 0-471-44878-8. Pozar's new edition of Microwave Engineering includes more material on active circuits, noise, nonlinear effects, and wireless systems. Chapters on noise and nonlinear distortion, and active devices have been added along with the coverage of noise and more material on intermodulation distortion and related nonlinear...
W. A. Benjamin Inc., 1970. — 742 p. In 1963, I taught from that text to a class of exceptionally brilliant students at Princeton University. I believe that course was successful and influential for those students. As the text has no illustrative material, I developed a set of notes of " classical " advanced calculus which we used as a supplement to the text. This was the beginning...
Cambridge University Press, 2005. — 395 p. — ISBN13: 978-0-511-34456-5. This is a concise and elementary introduction to measure and integration theory as it is nowadays needed in many parts of analysis and probability theory. The basic theory – measures, integrals, convergence theorems, Lp-spaces and multiple integrals – is explored in the first part of the book. The second...
Second Edition. — Springer, 2015. — 349 p. — ISBN: 978-3-319-18587-3. The theory of elliptic curves involves a pleasing blend of algebra, geometry, analysis, and number theory. This volume stresses this interplay as it develops the basic theory, thereby providing an opportunity for advanced undergraduates to appreciate the unity of modern mathematics. At the same time, every...
Wiley, 1991. — 613p. Beginning students of quantum mechanics frequently experience difficulties separating essential underlying principles from the specific examples to which these principles have been historically applied. Nobel-Prize-winner Claude Cohen-Tannoudji and his colleagues have written this book to eliminate precisely these difficulties. Fourteen chapters provide a...
Pergamon Press, 1966. — 551 p. Course of Theoretical Physics, Volume 6: Fluid Mechanics discusses several areas of concerns regarding fluid mechanics. The book provides a discussion on the phenomenon in fluid mechanics and their intercorrelations, such as heat transfer, diffusion in fluids, acoustics, theory of combustion, dynamics of superfluids, and relativistic fluid...