LEADER 03360nam 22005655 450 001 9910890188003321 005 20250807153057.0 010 $a9783031592645 010 $a3031592646 024 7 $a10.1007/978-3-031-59264-5 035 $a(CKB)36251308300041 035 $a(MiAaPQ)EBC31696281 035 $a(Au-PeEL)EBL31696281 035 $a(MiAaPQ)EBC31708643 035 $a(Au-PeEL)EBL31708643 035 $a(DE-He213)978-3-031-59264-5 035 $a(OCoLC)1459751754 035 $a(EXLCZ)9936251308300041 100 $a20241002d2024 u| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAnalytical Mechanics $eA Concise Textbook /$fby Sergio Cecotti 205 $a1st ed. 2024. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2024. 215 $a1 online resource (354 pages) 225 1 $aUNITEXT for Physics,$x2198-7890 311 08$a9783031592638 311 08$a3031592638 320 $aIncludes bibliographical references and index. 327 $aTowards Lagrangian Mechanics -- Smooth Manifolds -- Lagrangian Mechanics on Manifolds -- Variational Methods: the Action Principle -- Important Special Systems -- Hamilton Equations -- Symplectic Geometry -- Canonical Transformations -- The Hamilton-Jacobi Theory -- Integrable Systems and All That -- Introduction to Perturbative Methods. 330 $aThis textbook is based on the author's lecture notes held at Qiuzhen College, Tsinghua University, Beijing, renowned for its rapid scientific growth of its excellent students. The book offers a remarkable combination of characteristics that are both exceptional and seemingly contradictory. It is designed to be entirely self-contained, starting from the basics and building a strong foundation in geometric and algebraic tools. Simultaneously, topics are infused with mathematical elegance and profundity, employing contemporary language and techniques. From a physicist's perspective, the content delves deeply into the physical aspects, emphasizing the underlying principles. This book bridges the gap between students and cutting-edge research, with a special focus on symplectic geometry, integrability, and recent developments in the field. It is designed to engage and captivate the reader. A conscious selection of topics ensures a more relevant and contemporary approach compared to traditional textbooks. The book addresses common misconceptions, offering clarity and precision. In its quest for brevity, this book is tailored for a one-semester course, offering a comprehensive and concise resource. The author's dedication is evident throughout this volume, encapsulating these goals within roughly 300 pages. 410 0$aUNITEXT for Physics,$x2198-7890 606 $aMathematical physics 606 $aTheoretical, Mathematical and Computational Physics 606 $aMathematical Physics 615 0$aMathematical physics. 615 14$aTheoretical, Mathematical and Computational Physics. 615 24$aMathematical Physics. 676 $a531 700 $aCecotti$b Sergio$01431735 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910890188003321 996 $aAnalytical Mechanics$94264215 997 $aUNINA