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From the reviews: "These books (Introduction to Calculus and Analysis Vol. I/II) are very well written. The mathematics are rigorous but the many examples that are given and the applications that are treated make the books extremely readable and the arguments easyto understand. These books are ideally suited for an undergraduate calculus course. Each chapter is followed by a number of interesting exercises. More difficult parts are marked with an asterisk. There are many illuminating figures...Of interest to students, mathematicians, scientists and engineers. Even more than that."Newsletter on Computational and Applied Mathematics, 1991"...one of the best textbooks introducing several generations of mathematicians to higher mathematics. ... This excellent book is highly recommended both to instructors and students.Acta Scientiarum Mathematicarum, 1991

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The goal of this book is to expose the reader to the indispensable role that mathematics---often very abstract---plays in modern physics. Starting with the notion of vector spaces, the first half of the book develops topics as diverse as algebras, classical orthogonal polynomials, Fourier analysis, complex analysis, differential and integral equations, operator theory, and multi-dimensional Green's functions. The second half of the book introduces groups, manifolds, Lie groups and their representations, Clifford algebras and their representations, and fiber bundles and their applications to differential geometry and gauge theories. This second edition is a substantial revision of the first one with a complete rewriting of many chapters and the addition of new ones, including chapters on algebras, representation of Clifford algebras and spinors, fiber bundles, and gauge theories. The spirit of the first edition, namely the balance between rigor and physical application, has been maintained, as is the abundance of historical notes and worked out examples that demonstrate the "unreasonable effectiveness of mathematics" in modern physics.Einstein has famously said, "The most incomprehensible thing about nature is that it is comprehensible." What he had in mind was reiterated in another one of his famous quotes concerning the question of how " ... mathematics, being after all a product of human thought, is so admirably appropriate to the objects of reality." It is a question that comes to everyone's mind when encountering the highly abstract mathematics required for a deep understanding of modern physics. It is the experience that Eugene Wigner so profoundly described as "the unreasonable effectiveness of mathematics in the natural sciences."Some praise for the previous edition:PAGEOPH [Pure and Applied Geophysics] Review by Daniel Wojcik, University of Maryland "This volume should be a welcome addition to any collection. The book is well written and explanations are usually clear. Lives of famous mathematicians and physicists are scattered within the book. They are quite extended, often amusing, making nice interludes. Numerous exercises help the student practice the methods introduced. ... I have recently been using this book for an extended time and acquired a liking for it. Among all the available books treating mathematical methods of physics this one certainly stands out and assuredly it would suit the needs of many physics readers." ZENTRALBLATT MATH Review by G.Roepstorff, University of Aachen, Germany "... Unlike most existing texts with the same emphasis and audience, which are merely collections of facts and formulas, the present book is more systematic, self-contained, with a level of presentation that tends to be more formal and abstract. This entails proving a large number of theorems, lemmas, and corollaries, deferring most of the applications that physics students might be interested in to the example sections in small print. Indeed, there are 350 worked-out examples and about 850 problems. ... A very nice feature is the way the author intertwines the formalism with the life stories and anecdotes of some mathematicians and physicists, leading at their times. As is often the case, the historical view point helps to understand and appreciate the ideas presented in the text. ... For the physics student in the middle of his training, it will certainly prove to be extremely useful." THE PHYSICIST Review by Paul Davies, Orion Productions, Adelaide, Australia "I am pleased to have so many topics collected in a single volume. All the tricks are there of course, but supported by sufficient rigour and substantiation to make the dedicated mathematical physicist sigh with delight."EMS [EUROPEAN MATHEMATICAL SOCIETY] NEWSLETTER "This book is a condensed exposition of the mathematics that is met in most parts of physics. The presentation attains a very good balance between the formal introduction of concepts, theorems and proofs on one hand, and the applied approach on the other, with many examples, fully or partially solved problems, and historical remarks. An impressive amount of mathematics is covered. ... This book can be warmly recommended as a basic source for the study of mathematics for advanced undergraduates or beginning graduate students in physics and applied mathematics, and also as a reference book for all working mathematicians and physicists."The goal of this book is to expose the reader to the indispensable role that mathematics plays in modern physics. Starting with the notion of vector spaces, the first half of the book develops topics as diverse as algebras, classical orthogonal polynomials, Fourier analysis, complex analysis, differential and integral equations, operator theory, and multi-dimensional Green's functions. The second half of the book introduces groups, manifolds, Lie groups and their representations, Clifford algebras and their representations, and fibre bundles and their applications to differential geometry and gauge theories.This second edition is a substantial revision with a complete rewriting of many chapters and the addition of new ones, including chapters on algebras, representation of Clifford algebras, fibre bundles, and gauge theories. The spirit of the first edition, namely the balance between rigour and physical application, has been maintained, as is the abundance of historical notes and worked out examples that demonstrate the "unreasonable effectiveness of mathematics" in modern physics.

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From the reviews: "These books (Introduction to Calculus and Analysis Vol. I/II) are very well written. The mathematics are rigorous but the many examples that are given and the applications that are treated make the books extremely readable and the arguments easy to understand. These books are ideally suited for an undergraduate calculus course. Each chapter is followed by a number of interesting exercises. More difficult parts are marked with an asterisk. There are many illuminating figures...Of interest to students, mathematicians, scientists and engineers. Even more than that."Newsletter on Computational and Applied Mathematics, 1991"...one of the best textbooks introducing several generations of mathematicians to higher mathematics. ... This excellent book is highly recommended both to instructors and students." Acta Scientiarum Mathematicarum, 1991

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The solitaire game "The Tower of Hanoi" was invented in the 19th century by the French number theorist Édouard Lucas. The book presents its mathematical theory and offers a survey of the historical development from predecessors up to recent research. In addition to long-standing myths, it provides a detailed overview of the essential mathematical facts with complete proofs, and also includes unpublished material, e.g., on some captivating integer sequences. The main objects of research today are the so-called Hanoi graphs and the related Sierpinski graphs. Acknowledging the great popularity of the topic in computer science, algorithms, together with their correctness proofs, form an essential part of the book. In view of the most important practical applications, namely in physics, network theory and cognitive (neuro)psychology, the book also addresses other structures related to the Tower of Hanoi and its variants.The updated second edition includes, for the first time in English, the breakthrough reached with the solution of the "The Reve's Puzzle" in 2014. This is a special case of the famed Frame-Stewart conjecture which is still open after more than 75 years. Enriched with elaborate illustrations, connections to other puzzles and challenges for the reader in the form of (solved) exercises as well as problems for further exploration, this book is enjoyable reading for students, educators, game enthusiasts and researchers alike.Excerpts from reviews of the first edition:"The book is an unusual, but very welcome, form of mathematical writing: recreational mathematics taken seriously and serious mathematics treated historically. I don't hesitate to recommend this book to students, professional research mathematicians, teachers, and to readers of popular mathematics who enjoy more technical expository detail."Chris Sangwin, The Mathematical Intelligencer 37(4) (2015) 87f."The book demonstrates that the Tower of Hanoi has a very rich mathematical structure, and as soon as we tweak the parameters we surprisingly quickly find ourselves in the realm of open problems."László Kozma, ACM SIGACT News 45(3) (2014) 34ff."Each time I open the book I discover a renewed interest in the Tower of Hanoi. I am sure that this will be the case for all readers."Jean-Paul Allouche, Newsletter of the European Mathematical Society 93 (2014) 56.

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'This book meets demands of the competitive world in need of evidence of chosen treatment methods and practices ... I can recommend the book for seasoned professionals working with hypnosis, those who teach and give information of hypnosis needing an overview of references (and) as a general introduction for students.' European Society of Hypnosis Newsletter, 2013:1 'The authors performed a great job in doing extensive research, highlighting summaries of data, mentioning different studies, results of working with hypnosis, some methods or approaches, putting together an impressive list of references ... For the reader it is inspiring to learn from other clinician's experience and see which approaches are proven helpful and/or efficient.' Dr. Nicole Ruysschaert, ESH President 'This is an excellent book. It is the best survey of the responsible practice of clinical hypnosis in the UK. The introduction, which provides an overview of theory and research about the nature of hypnosis, should be required reading for anyone practicing or training to practice in the field.' Irving Kirsch, Harvard Medical School, Beth Israel Deaconess Medical Center, USA, and University of Plymouth, UK 'This worthy successor to the first edition provides an engaging, authoritative, and scientifically-grounded introduction to the field of hypnosis, as well as a wealth of valuable information on specific psychological, medical, and dental applications of hypnosis. I highly recommend this valuable handbook to clinicians, researchers, and anyone who is a student of hypnosis or wishes to learn to use hypnosis to promote physical and mental health.' Steven Jay Lynn, Distinguished Professor of Psychology, Binghamton University (SUNY), USA 'This book is highly recommended for anyone with a keen interest in hypnotherapy, be they students, trainees, clients, clients' supporters, researches or practitioners. For the latter there is extensive material for reflective analysis in order to develop more effective practice. In brief, this is a significant volume in the growing corpus of knowledge and is indispensible as a course text.' Peter Farnbank, AFBPsS, Chartered Psychologist, Chartered Scientist This popular book introduces the subject of hypnosis and explores its application in counselling, psychotherapy, medicine and dentistry. Now thoroughly revised and updated with cutting edge research, including neuro-imaging studies and evidence-based clinical reports, it offers a wealth of new material: A new chapter on hypnotherapy and eating disorders An overview of theoretical understanding of hypnosis based on recent scientific evidence A variety of therapeutic techniques that may be tailored to individual clients Advice on how hypnotherapeutic procedures may be used alongside a broad range of psychotherapeutic approaches Case studies and treatment plans from the authors' own practices Hypnotherapy: A Handbook, 2nd edition is an invaluable resource for practitioners looking for advice, knowledge and ideas with which to inform their clinical practice. The book will prove useful to counsellors, psychotherapists, hypnotherapists and psychologists, both qualified and in training, as well medical and dental practitioners. Contributors: David A Alexander, Assen Alladin, Barry B Hart, Chrissi Hart, Peter Hawkins, Michael Heap, Elisabeth Kohls, Debbie Mairs-Houghton, Peter Naish, Cath Potter, Ferenc Túry and Ann Williamson. With thanks to Windy Dryden, co-editor of the first edition of Hypnotherapy: A Handbook (Open University Press, 1991).

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'This thought-provoking book demonstrates that the application of technology in the delivery of the curriculum is so much more than this and should give early year's educators confidence and encouragement to develop their own ideas in using ICT in innovative and imaginative ways.' Lynn Kennington, Early Education newsletter How can computers and other ICT applications be most effectively used to support learning in early years settings? Why is it important that young children use ICT in ways which are playful, creative and explorative? What research has been carried out about young children using computers and ICT, and what does this tell us? ICT in the Early Years carefully considers the potential of ICT to provide opportunities for young children to learn through playful and creative activities, examining research and practice in relation to the educational uses of ICT with young children. The book raises important issues about teaching in the early years using ICT, such as giving pupils control, co-operative working, access and assessment. In addition, it: Recounts recent research evidence Provides practical ideas for early years teachers Provokes debate about the future of ICT in early years education The book's focus is on research outcomes, viewed through discussion of practical classroom approaches, with the pupil viewed as a competent learner and assessor. Emphasis is placed on creative and playful aspects of ICT, with the child as an active agent authoring, experimenting, and creating, rather than passively receiving. ICT in the Early Years is essential reading for teachers and teachers in training, and is also of use to other associated professionals, such as classroom assistants, home educators and nursery teachers. Parents with an interest in the use of technology in education will also find the book of genuine interest.

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From the reviews: 'These books (Introduction to Calculus and Analysis Vol. I/II) are very well written. The mathematics are rigorous but the many examples that are given and the applications that are treated make the books extremely readable and the arguments easyto understand. These books are ideally suited for an undergraduate calculus course. Each chapter is followed by a number of interesting exercises. More difficult parts are marked with an asterisk. There are many illuminating figures...Of interest to students, mathematicians, scientists and engineers. Even more than that.'Newsletter on Computational and Applied Mathematics, 1991'...one of the best textbooks introducing several generations of mathematicians to higher mathematics. ... This excellent book is highly recommended both to instructors and students.Acta Scientiarum Mathematicarum, 1991

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Many recent changes in the PCT are making it an increasingly more attractive option for applicants looking to protect inventions by means of international (PCT) applications. Still a great advantage of the PCT is that applicants are not limited to the 12-month priority period to decide on the States in which to seek patent protection, but instead they can extend this time limit by a further 18 months simply by filing an international application. In addition, the PCT extends even further options which the applicant can avail himself of to get his application searched and undergo a (preliminary) examination right in the international phase. These options allow an applicant to get a good grasp of his potential scope of patent protection right upon entering the national/regional phase. For example, ever since January 1, 2009, in addition to the international search, the PCT has also offered the option of having further (supplementary) international searches carried out so as to better serve the increasing diversity of languages among prior art documents. Particularly when compared to a European (EPC) application, an international (PCT) application has even further advantages, leading increasing numbers of applicants from EPC Contracting States to now favor international applications. One such advantage is that the PCT has no claims fee, so that without paying additional fees, applicants can have more than 15 claims subject to a search and (preliminary) examination in the international phase. This is particularly advantageous for highly-complex inventions which can be claimed in their entirety under the PCT without first being required to unnecessarily limit the application&#8217;s scope of protection. Another advantage that the PCT provides for is that in cases of non-unity of invention, applicants will be invited to pay additional search fees. Thus, the PCT ensures that applications will be fully searched and examined (as need be) in the international phase &#8211; even despite lack of unity &#8211; so that applicants can use this information in deciding which inventions should enter the national/regional phases. These and other advantages of the PCT are steadily magnifying the importance of international PCT applications in everyday practice. Yet in everyday practice, the complicated structuring to the text of the PCT rules has led to considerable difficulties in answering the many questions related to such international applications, since almost all of the contentious issues are decided by the PCT member states themselves and fixed in the rules by means of regulations. The purpose of this book is to give a practice-oriented rendition of the PCT which discusses all the essential issues and questions which arise chronologically &#8211; starting with the initial filing of an international application, continuing through the international phase, and on up to entering the national/regional phase &#8211; all from the standpoint of the questions and contingencies occurring in actual practice. This book answers these questions using the actual wording of the articles and rules and, especially drawing on the PCT Guide, the PCT Newsletter and the PCT Gazette, then incorporates additional details on designated Offices and legal information important from the European perspective.

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